Answer:
the stone's final speed just before hitting the ground is: v = √(2 × 9.81 × 90) m/s = √(1765.8) m/s = 42.0 m/s.
a Charge Q1 = +8 x 10^-6C, Q2 = -5 x 10^-6C, and the Coulomb force between the two charges is .2N. Calculate the distance between these charges.
The distance between the two charges is approximately 0.0134 meters.
The Coulomb force between two point charges is given by Coulomb's Law,
[tex]F = \dfrac{k Q_1 Q_2}{r^2}[/tex]
where k is Coulomb's constant, Q1 and Q2 are the magnitudes of the two charges, and r is the distance between them.
Q1 = +8 x 10^-6C, Q2 = -5 x 10^-6C, and F = 0.2 N.
k = 9 x 10^9 N m^2/C^2.
Substituting these values into Coulomb's Law,
[tex]0.2 N = \dfrac{9 \times 10^9 \times 8 \times 10^{-6} \times -5 \times 10^{-6}}{ r^2}[/tex]
Multiplying both sides by r^2, we get:
r^2 = (3.6 x 10^-5 N) / 0.2
r^2 = 1.8 x 10^-4 m^2
r ≈ 0.0134 m
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Which of the following best describes a direct current?(1 point)
Responses
an electrical current that flows in one direction
a stationary electrical charge
an electrical current that flows in alternating directions back and forth
the flow of electric charges through a conductor
The best description of a direct current is "an electrical current that flows in one direction."
define electric current ?
Electric current is the movement of electric charges through a material, usually electrons. It is expressed in amperes (A) and is defined as the quantity of charge that passes through a point in a circuit over time. The conventional direction of current is taken as the positive charge carriers, which are in the opposite direction to the flow of electrons. Electric current is essential for the operation of numerous electrical devices and systems.
The best description of a direct current is "an electrical current that flows in one direction."
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Returning to the scene of the (possible) crime, you estimate that the bathtub in which Polly was found contained around 0.3 m3 (around 80 gallons), which corresponds to 300 kg (since the density of water is 1000 kg/m3), of water as you scoop the water out of the tub. The temperature of this water is 7oC. You assume that the water was initially at its lowest temperature, 2oC, which you find by turning on the cold tap only.
With these measurements, first determine the amount of heat that transferred from Polly and the external environment to warm the cold water. The specific heat of water is about 4186 J/(kgoC). Give your answers in units of kilojoules (kJ).
This indicates that to increase the temperature of the water in the bathtub from 2°C to 7°C, roughly 62,760 kJ of heat energy were added.
What is the water's temperature?While scientists typically use the Centigrade (or Celsius) scale, where water freezes at 0 degrees and boils at 100 degrees, we typically measure temperature in the United States using the Fahrenheit scale, where water freezes at 32 degrees and boils at 212 degrees.
According to the data given, the bathtub once held 300 kg of water at 2°C.
we can use the specific heat capacity of water and the formula:
Q = m * c * ΔT
The specific heat capacity of water is 4.184 J/(g°C), or 4184 J/(kg°C). Therefore, the amount of heat energy absorbed by the water is:
Q = 300 kg * 4184 J/(kg°C) * (7°C - 2°C)
Q = 62,760 kJ
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2 Examples of adverse events (AE) include which of the following?
A. Damaged wheelchair.
OB. Anxiety.
C. Decreased blood sodium.
D. Enlarged thyroid on physical examination.
OE. B, C, and D only
OF. All the above are adverse events (AES).
Croquet balls must have a mass of .50 kg. A red croquet ball moving at 10 m/s strikes an at rest green croquet ball head-on. If the red ball stops after hitting the green ball, what will be the final speed of the green ball
The final velocity of the green ball is 5.0 m/s.
What will be the final speed of the green ball?The final speed of the green ball can be determined using the law of conservation of momentum.
The momentum of the system (red and green ball) before the collision is equal to the momentum of the system after the collision, assuming there are no external forces acting on the system.
Before the collision, the momentum of the red ball is given by:
p1 = m1v1 = 0.50 kg x 10 m/s = 5.0 kg m/s
After the collision, the momentum of the green ball is given by:
p2 = m2 x v2
Using the law of conservation of momentum, we have:
p1 + p2 = (m1 + m2) v1
5.0 kg m/s + p2 = (0.50 kg + 0.50 kg) x 10 m/s
5.0 kg m/s + p2 = 1.0 kg * 10 m/s
5.0 kg m/s + p2 = 10.0 kg m/s
p2 = 10.0 kg m/s - 5.0 kg m/s = 5.0 kg m/s
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A camera flash is a capacitor that stores a charge of 0.06 C at 474 V. The energy stored is _____ Joule.
The energy stored in the camera flash is 28.44J.
How to calculate energy?The potential energy is a form of energy and the potential (and therefore voltage, when differences are taken) is defined as the potential energy (or potential energy difference) per unit charge.
The equation that relates the potential difference to energy is as follows:
V = E/Q
Where;
V = voltageE = energyQ = chargeE = 474V × 0.06C
E = 28.44J
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States of matter that can become part a
Solution are
Solids =
Liquids =
Gases =
Saltwater
Vapors
=
Conversion of liquid into vapor or gas. - (b) Vaporization
Conversion of liquid into solid. - (d) Freezing
Conversion of solid into a liquid on heating. - (a) Melting
What is liquid?
A liquid is a nearly incompressible fluid with a (almost) constant volume regardless of pressure that adapts to the shape of its container. Being the only form with a set volume but no fixed shape, it is one of the four fundamental states of matter (the others being solid, gas, and plasma). A liquid can flow and assume a container-like shape, much like a gas can. A liquid keeps a relatively constant density and does not disperse to cover every space in a container like a gas does. a distinguishing quality of it.To know more about liquid, click the link given below:
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Evan is a championship runner of the school's track team. During one of his trials, his speed was measured at 10.1 m/s. Find Evan's kinetic energy during that trial if his mass is 58.6 kg.
Evan's kinetic energy during the trial was [tex]295.99 kg m^2/s^2.[/tex]
What is energy?Energy is defined as the capacity for doing work. It is the ability to cause change or to make things happen. It exists in many forms and can be derived from various sources such as the sun, wind, water, and even nuclear power. Energy can be transformed from one form to another, such as when electricity is generated from the sun or when mechanical energy is converted into electrical energy. Energy can also be stored in batteries, stored in the form of potential or kinetic energy, or even converted into thermal energy.
Kinetic energy (KE) is the energy an object has due to its motion. It is calculated using the equation [tex]KE = 1/2 mv^2[/tex], where m is the mass of the object and v is its velocity.
In Evan's case, his mass is 58.6 kg and his velocity is 10.1 m/s. Therefore, his kinetic energy during the trial can be calculated as follows:
[tex]KE = 1/2 * 58.6 kg * (10.1 m/s)^2KE = 295.99 kg m^2/s^2[/tex]
Therefore, Evan's kinetic energy during the trial was [tex]295.99 kg m^2/s^2.[/tex]
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An 1800-kg truck pulls a 620-kg trailer away from a stoplight with an acceleration of 1. 16 m/s2, what is the force exerted by the truck on the trailer?.
The force exerted by the truck on the trailer is approximately 2951.6 N.
To find the force exerted by the truck on the trailer, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration. The net force in this case is the force exerted by the truck on the trailer, and we can express this as:
F = [tex]m_{total}[/tex] × a
where F is the net force, [tex]m_{total}[/tex] is the total mass of the truck and trailer, and a is the acceleration.
Substituting the given values, we get:
F = (1800 kg + 620 kg) × 1.16 m/s^2
Simplifying, we get:
F = 2951.6 N
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The large ball, small ball, and feather are dropped side-by-side. Use
these values for gravitational forces in the table above to explain why the
objects fall to Earth and not move towards each other.
The large ball, small ball, and feather fall to Earth and do not move towards each other due to the force of gravity, which is proportional to the mass of the objects involved and inversely proportional to the square of the distance between them. Earth's gravitational force is much stronger than the gravitational force between the objects, leading to their downward motion.
Explanation:The reason the large ball, small ball, and feather fall to Earth and do not move towards each other is due to the force of gravity. Gravity is a force that attracts objects towards each other, and the strength of this force depends on the mass of the objects involved. In this case, the large ball has a greater mass than the small ball, and the small ball has a greater mass than the feather.
According to Newton's law of universal gravitation, the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Since the distance between the objects is large compared to their sizes, the gravitational force between them is negligible.
Therefore, the objects fall towards Earth because the strength of Earth's gravitational force is much greater than the gravitational force between the objects themselves. The large ball experiences a stronger gravitational force due to its larger mass, resulting in a faster fall compared to the small ball and feather.
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Help Which answer is correct
Answer: plastic
Explanation:
Which of the following statements best describes the relationship between atoms and conductivity?(1 point)
Responses
Atoms with a nearly empty valence shell make good conductors.
Atoms with many electrons make good insulators.
Atoms with a full valence shell make good conductors.
Atoms with few electrons make good conductors.
The statement that describes the relationship between atoms and conductivity is as follows: Atoms with a full valence shell make good conductors (option C).
What is conductivity?Conductivity is the ability of a material to conduct electricity, heat, fluid or sound.
Conductivity is determined by the types of atoms in a material (the number of protons in each atom's nucleus determines its chemical identity) and how the atoms are linked together with one another.
The atoms which have fewer electronic shells have, the lower the electrical conductivity it has and vice versa.
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Conductors and Insulators Quick Check
100% true
C. The electrons in copper (Cu) are loosely bound to the nucleus.
A. An electrical current that flows in one direction.
A. aluminum (Al)
B. Opposite charges attract one another.
C. Atoms with a nearly empty valence shell make good conductors.
C.
A.
A.
B.
C.
Using the internet to help answer this question...Does a Komodo Dragon reproduce sexually or asexually
Komodo's dragons reproduce through both sexual reproduction and a form of asexual reproduction called parthenogenesis.
What is parthenogenesis?A zygote lacking gametes forms during parthenogenesis. Invertebrates and lower plants frequently exhibit it.
As it turns out, the Komodo dragon is capable of both sexual and asexual reproduction, depending on the circumstances. The majority of zoos keep female dragons alone and apart from the males.
Therefore, both sexual reproduction and parthenogenesis, a type of asexual reproduction, are used by Komodo dragons to breed.
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state the energy transfer that takes place;
as the changes shape during the contact between the racquet and the ball
The energy transfer that takes place as the ball changes shape during the contact between the racquet and the ball is due to the changes in shape results in deformation of the ball that converts kinetic energy from the racquet into elastic potential energy in the ball.
What is the importance of the kinetic energy of the substance?When a ball strikes a racquet, the kinetic force of racquet causes the ball to compress, which results in a change in its shape and the energy is transferred from the racquet to the ball, and the work done by the racquet on the ball increases the potential energy stored in the compressed ball, and the ball bounces.
Hence, changes in shape results in deformation of the ball and converts kinetic energy present in the racquet to elastic potential energy in the ball and bounces it.
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The question is incomplete, the complete question is here
State the energy transfer that takes place as the ball changes shape during the contact between the racquet and the ball.
A wave with a frequency of 6 khz was found to oscillate 24 000 times. Over what time period was it measured?.
The time period of wave with a frequency of 6kHz was found to oscillate 24 000 times is 4s.
Given the frequency of wave (f) = 6kHz
Number of times the wave oscillates (n) = 24000
Let the time period = T
The time period frequency is inversely related to the number of oscillations. As the time period frequency increases, the number of oscillations decreases, and vice versa. The frequency of an event is the number of times it occurs in a unit of time. To be clear, it is separate from angular frequency and is occasionally referred to as temporal frequency. An event takes place once every second, or once every hertz (Hz), or frequency unit. Then, T = n/f such that:
T = 24000/(6 x 10^3) = 4s
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Which of the following substances would allow an electric current to flow through it easily?(1 point)
Responses
glass
aluminum (Al)
rubber
carbon (C)
Aluminum (Al) allows an electric current to flow through it easily. The correct option is B.
What is electrical conductivity?Electricity is the flow of electric charge through a conductor. The ability of a material to allow electric current to flow through it depends on its electrical conductivity. Materials with high electrical conductivity allow electric current to flow through them easily, while materials with low electrical conductivity resist the flow of electric current.
Here in the Question,
Option A: Glass is a poor conductor of electricity and has very low electrical conductivity. It is an insulator and does not allow electric current to flow through it easily.
Option B: Aluminum is a good conductor of electricity and has high electrical conductivity. It allows electric current to flow through it easily.
Option C: Rubber is an insulator and has very low electrical conductivity. It does not allow electric current to flow through it easily.
Option D: Carbon is a poor conductor of electricity and has low electrical conductivity. While some forms of carbon, like graphite, have a relatively high electrical conductivity, it is still much lower than that of aluminum. So, carbon does not allow electric current to flow through it easily.
Therefore, among the given options, only aluminum (option B) would allow an electric current to flow through it easily because it is a good conductor of electricity.
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ASAP:
6. In magnetic elements, each atom’s magnetic domains are _______________________ which creates a __________________. In nonmagnetic elements, each atom’s domains are ______________________________ so the resulting element _______________________
In magnetic elements, each atom’s magnetic domains are aligned which creates magnetic force. In nonmagnetic elements, each atom’s domains are pointing in the different directions so, resulting element has nonmagnetic force.
What is magnetic force?Attraction or repulsion that arises between electrically charged particles because of their motion is called magnetic force and it is the basic force responsible for such effects as action of electric motors and also attraction of magnets for iron.
Magnetism is caused by motion of electric charges. Every substance is made up of tiny units called atoms and each atom has electrons, particles that carry electric charges. Spinning like tops, electrons circles the nucleus, or core, of an atom.
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Calculate the total work done on a mass m as it moves from position x1 = 0 m to x2 = 40 m
F1 = 5 N F2 = 6 N angle between them 50 degree
F3 = 2 N F4 = 2 N Angle Between them 20 Degree
The total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.
What is Work Done?
Work is a physical quantity that describes the amount of energy transferred when a force acts on an object and causes it to move. When a force acts on an object and causes it to move in the direction of the force, work is said to be done on the object. Mathematically, work is defined as the dot product of force and displacement:
Work = Force x Displacement x cos(theta)
To calculate the total work done on the mass as it moves from position x1 to x2, we need to find the net work done by all the forces on the mass. The net work done by a force is given by the formula:
W = F * d * cos(theta)
where W is the work done, F is the force, d is the displacement of the mass, and theta is the angle between the force and the displacement.
First, we can calculate the work done by each force separately and then add them up to find the total work done.
Work done by F1:
W1 = F1 * (x2 - x1) * cos(0) = 5 N * 40 m * cos(0) = 200 J
Work done by F2:
W2 = F2 * (x2 - x1) * cos(50°) = 6 N * 40 m * cos(50°) ≈ 165.41 J
Work done by F3:
W3 = F3 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J
Work done by F4:
W4 = F4 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J
The total work done on the mass is the sum of the work done by each force:
W_total = W1 + W2 + W3 + W4 ≈ 515.17 J
Therefore, the total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.
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A 24.0 kg rock, m, is on the edge of a 80.0 m cliff, h, as shown in Figure 11-20. Assume that air resistance is negligible.
(a) What potential energy does the rock possess relative to the base of the cliff?
(b) The rock falls from the cliff. What is its kinetic energy just before it strikes the ground?
(a) The potential energy of the rock relative to the base of the cliff can be calculated using the formula for gravitational potential energy:
PE = mgh
where m is the mass of the rock (24.0 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the cliff (80.0 m).
PE = 24.0 kg * 9.8 m/s^2 * 80.0 m = 15,360 J
(b) The kinetic energy of the rock just before it strikes the ground can be calculated using the formula for kinetic energy:
KE = 0.5 * m * v^2
where m is the mass of the rock (24.0 kg) and v is the velocity of the rock just before it strikes the ground. The velocity can be calculated using the equation of motion for a freely falling object:
v = sqrt(2gh)
v = sqrt(2 * 9.8 m/s^2 * 80.0 m) = 44.72 m/s
KE = 0.5 * 24.0 kg * 44.72 m/s^2 = 507.84 J
23. A hydraulic (water power) press consists of 1 cm and 5 cm diameter pistons. (a) What force must be applied on the small piston so that the large piston will be able to raise 10 N load? (b) To what height would the load be raised when the small piston has moved 0.1 m?
a. The force required on the small piston to raise a 10 N load on the large piston is 0.403 N.
b. The load would be raised to a height of 63.13 cm when the small piston has moved 0.1 m.
How to calculate?The formula is F1 / F2 = A2 / A1
where F1 is the force applied on the small piston, F2 is the force exerted on the large piston, A1 is the area of the small piston, and A2 is the area of the large piston.
A1 = (π / 4) * (1 cm)^2 = 0.0079 cm^2
A2 = (π / 4) * (5 cm)^2 = 0.196 cm^2
F1 / F2 = 0.0079 cm^2 / 0.196 cm^2 = 0.0403
F2 = 10 N
F1 = F2 * (A1 / A2) = 10 N * 0.0403 = 0.403 N
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You dive straight down into a pool of water. You hit the water with a speed of 6. 5 m/s , and your mass is 70 kg. Part a assuming a drag force of the form fd = (−1. 10×104 kg/s ) v, how long does it take you to reach 2% of your original speed? (ignore any effects of buoyancy. )
It takes approximately 9.24 seconds to reach 2% of the original speed.
What is the velocity?We can use the equation for velocity with a drag force to solve for the time it takes to reach 2% of the original speed:
[tex]v = v0 e^(-b/m)t + (mg/b)(1 - e^(-b/m)t)[/tex]
where:
v is the velocity at time t
v0 is the initial velocity
b is the drag coefficient
m is the mass of the object
g is the acceleration due to gravity
At 2% of the original speed, the velocity is 0.02 x 6.5 m/s = 0.13 m/s.
Substituting the given values, we have:
[tex]0.13 m/s = 6.5 m/s * e^(-1.10x10^4 kg/s * t/70 kg) + (70 kg * 9.81 m/s^2 / 1.10x10^4 kg/s) * (1 - e^(-1.10x10^4 kg/s * t/70 kg))[/tex]
Simplifying and solving for t using numerical methods, we get:
t ≈ 9.24 seconds
Therefore, it takes approximately 9.24 seconds to reach 2% of the original speed.
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A football coach sits on a sled while two of his players build their strength by dragging the sled across the field with ropes. The friction force on the sled is 1000 N
and the angle between the two ropes is 50 ∘
. Assume both players pull with the same force.
Friction force Force that resists the slidihng or rolliong of one side object over another. As both the players pull with the same force therefore each player pull to drag the coach with force of 520.83
What is Friction?
Friction force on the given sled is 1000 N.
Angle between the two ropes dragging by the players is 50 Celcius.
Friction force Force that resists the slidihng or rolliong of one side object over another.
Let, f be the force applied by each player Pull force applied by the player one is equal to the pull force applied by the player two. Therefore the angle created between the ropes dragged by both the player will be equal and half of the given angle.
Angle created by each player with sled is, To keep this sled in dynamic equilibrium the force applied by both the player must be equal to the friction force on the sled in opposite direction.
Therefore, Hence, each player pull to drag the coach with force of 520.83.
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t: The toy car is given a push away from the origin and released. It continues to move with a constant velocity. Sketch the force g 0' after the car is released. A cart is moving toward the right and speeding up, as shown in the diagram below. Draw arrows above the cart representing the magnitudes and directions of the net (combined) forces you think are needed on the cart at t = 0 s, t = 1 s, etc., to maintain its motion with a steadily increasing velocity. Assume that the cart is already moving at t_1. Explain the reasons for your answers. If the positive direction is toward the right, what is the sign of the force at t = 2 s in Question
The car will move at a constant speed once it is unleashed, as is assumed. Hence, there is no acceleration. Newton's second law states that a straight line along zero will appear on the graph if F=ma=m(0)=0, F=0.
Acceleration is the rate at which an object changes its velocity. It is a vector quantity, which means it has both magnitude and direction. The standard unit of acceleration is meters per second squared (m/s²).
Acceleration can be caused by forces such as gravity, friction, and electromagnetism. When a force acts on an object, it causes a change in the object's motion, resulting in acceleration.
The relationship between acceleration, velocity, and time is described by the equation a = (v_f - v_i) / t, where a is acceleration, v_f is final velocity, v_i is initial velocity, and t is time.
The effects of acceleration can be seen in everyday experiences, such as feeling pushed back into your seat when a car accelerates or feeling weightless during freefall. Understanding acceleration is important in fields such as physics, engineering, and transportation.
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If an object is dropped how long will it take to attain a velocity of 127.4 m/s
The time it takes for an object to attain a velocity of 127.4 m/s is 13 seconds.
What is the time of motion of the object?
The time it takes for an object to attain a velocity of 127.4 m/s after being dropped depends on several factors, including the object's mass, the strength of air resistance, and the acceleration due to gravity.
In the absence of air resistance, an object dropped from rest would attain a velocity of 127.4 m/s at a time, t calculated as;
v = u + gt
v = 0 + gt
v = gt
t = v/g
where;
g is acceleration due to gravityt = ( 127.4 ) / (9.8)
t = 13 seconds
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Gulls are often observed dropping clams and other shellfish from a height to the rocks below, as a means of opening the shells.
If a seagull drops a shell from rest at a height of 17 m how fast is the shell moving when it hits the rocks?
(part a)
Gulls are often observed dropping clams . When it hits the rocks, the shell is traveling at approximately 22.3 m/s.
How can the shell's velocity be determined?The following equation for motion with constant acceleration caused by gravity can be used to determine the shell's velocity when it hits the rocks:
where v = v₀ + a × t
v is the shell's final velocity when it hits the rocks; v₀ is its initial velocity, which is 0 m/s since it was dropped from rest; a is the acceleration caused by gravity (9.8 m/s²); and t is the time it takes for the shell to fall to the rocks. We can use the vertical displacement equation to determine the time t.
y = v₀ × t + (1/2) × a × t²
17 m = 0 m/s × t + (1/2) × 9.8 m/s² × t²
17 m = 4.9 m/s² × t²
t = √(17 m / 4.9 m/s²)
t = 2.28 s
Now that we have the time t, we can substitute it back into the equation for velocity:
v = v₀ + a × t
v = 0 m/s + 9.8 m/s² × 2.28 s
v = 22.3 m/s
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If you stood atop a ladder on Earth that was as tall as Earth's radius (so you were twice as far from
Earth's center) your weight atop the ladder would be
a.half its normal value
b. one-eighth its normal value
C. one-quarter its normal value d.
d.none of the above
Your weight at the top of the ladder would be one-quarter of its normal value. The correct option is C.
What is the acceleration due to gravity?The gravitational pull of the Earth, denoted by g, is the net acceleration imparted to objects by the combined effect of gravitation and centrifugal force. It is a vector quantity whose direction corresponds to a plumb bob and whose strength or magnitude is determined by the norm.
The formula for gravity is,
g = GM / R²
g = 1 / R²
gt = 1 / (2R)²
gt / g = R² / 4R²
gt = 1 / 4g
Therefore, at the top of the ladder, your weight would be one-quarter of its normal value.
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1) Describe how you would use the I-V characteristic of a component to find its resistance at a particular voltage
2) write a method a student could use to determine the I-V characteristics of a filament lamp
Plot the I-V characteristic of the component on a graph with current (I) on the y-axis and voltage (V) on the x-axis.
What is Resistance?
Resistance is a property of a material or component that opposes the flow of electric current through it. It is measured in units of ohms (Ω) and is represented by the symbol R. Resistance is a fundamental property of electric circuits, and it is determined by the geometry, composition, and temperature of the material or component.
To use the I-V characteristic of a component to find its resistance at a particular voltage, we can follow these steps:
Identify the region of the graph that corresponds to the voltage at which we want to find the resistance.
Choose two points on the I-V characteristic in this region, and calculate the change in voltage (ΔV) and the change in current (ΔI) between these two points.
Calculate the resistance of the component using the formula R = ΔV / ΔI.
Repeat this process at different voltages to determine how the resistance of the component varies with voltage.
It is important to note that the resistance of some components, such as diodes and transistors, can vary significantly with voltage and temperature. In these cases, the I-V characteristic may not be linear, and the resistance may need to be calculated using more advanced techniques such as curve fitting or numerical analysis.
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an arrow is shot from the top of a30m cliff straight up in the air at an initial speed of 15m/s.Find the height at which the arrow moves downward at a speed of 8m/s
A block of mass kg is initially sliding up the incline and is increasing in speed with acceleration m/s2. the applied force is horizontal, as shown. the coefficients of friction between the block and the incline are and . the angle of the incline is 25.0 degrees. (a) what is the force ? [140,160] n (b) what is the normal force between the block and incline? [125,140] n (c) what is the force of friction on the block? [35,50] n
(a) The force is 12 N. (b) The normal force between the block and incline is 46.2 N. (c) The force of friction on the block is 12 N.
We can solve this problem using Newton's laws of motion and the equations of motion for objects on inclined planes.
(a) To find the force applied to the block, we can use the equation:
[tex]F_a_p_p_l_i_e_d = m * a[/tex]
here,[tex]F_a_p_p_l_i_e_d[/tex] is applied force,
m is mass of the block, and
a is acceleration of the block.
Reserving values:-
[tex]F_a_p_p_l_i_e_d = (5.2 kg) * (2.3 m/s^2) = 12 N[/tex]
Therefore, the force applied on block is 12 N.
(b) To find the normal force between the block and the incline, we can use the component of the force of gravity that is perpendicular to the incline:-
[tex]F_n_o_r_m = m * g * cos\theta[/tex]
here,
m is mass of the block,
g is acceleration due to gravity, and
theta is angle of the incline.
Reserving values:-
[tex]F_n_o_r_m = (5.2 kg) * (9.81 m/s^2) * cos25.0 = 46.2 N[/tex]
Therefore, the normal force between the block and the incline is about 46.2 N.
(c) To find the force of friction on the block, we need to compare the applied force to the maximum frictional force that the surface can provide, which is given by:
[tex]F_f_r_i_c_t_i_o_n_,_m_a_x = mu * F_n_o_r_m[/tex]
here, mu is coefficient of friction and
[tex]F_n_o_r_m[/tex] is normal force.
The force of friction acts in the opposite direction to the motion of the block, so it will be downhill in this case. If the block is moving uphill, then the force of friction would be uphill instead.
Reserving values:-
[tex]F_f_r_i_c_t_i_o_n_,_m_a_x = (0.26) * (46.2 N) = 12.0 N[/tex]
Since the applied force of 12 N is equal to the maximum frictional force, the block will slide with a constant velocity. Therefore, the force of friction on the block is 12 N.
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28. Batman is sitting in the Batmobile at a stoplight.
As the light turns green, Robin passes Batman in his lime-green Pinto at a constant speed of 60 km/h. If Batman gives chase. accelerating at a constant rate of 10 km/h/s. determine
a) now long 1t takes batman to attain the
same speed as Robin.
b) how far Batman travels in this time.
c) how long it takes for Batman to catch up
to Robin.
If Batman gives chase and accelerating at a constant rate of 10 km/h/s then:
a) 6 seconds
b) 360 meters
c) 12 seconds
Accelerating is a process whereby an object, or a system of objects, increases its speed or rate of change. It is a fundamental concept in physics and is used to describe the motion of objects, such as an acceleration due to a force, or the rate of change in velocity. Accelerations can also be caused by a change in direction, or due to changes in gravity, such as when accelerating towards the surface of a planet.
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