When an object is thrown with an angle with horizontal, it makes projectile motion
It is given that angle of projectile was 25 degree
The formulas of projectile motion is as follows:
component of velocity at time t = Vxcos[tex]\alpha[/tex]
time of maximum height= vsin[tex]\alpha[/tex] /g
maximum height = (v sin[tex]\alpha[/tex] )^2/2g
horizontal range = v^2 sin2[tex]\alpha[/tex]/g
v is given to be 20 m/s
time of flight is given by v 2sin[tex]\alpha[/tex]/g
therefore, time of flight = 20 x 2x0.4226 /10 = 1.690 seconds
maximum horizontal range = 20 x 20 x 0.766/10 =30.641 meters
Disclaimer: The value of acceleration due to gravity is assumed to be 10 m/s^2 also the speed of velocity has no unit and hence m/s has been considered
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Example 2 (5 points) Researchers at a university want to know if higher levels of nitrogen in fertilizer will increase the production of tomatoes per plant. Twenty plants are given normal levels of nitrogen and twenty other plants are given ten percent higher levels throughout the growing season. The plants receive the same levels of sunlight, water and are planted in the same soil on one farm. At the end of the experiment the average number of tomatoes produced is the same for each group. The scientists repeat the experiment on two additional farms further south that season. The researchers conclude that increasing nitrogen levels by 10% in tomatoes is not beneficial. Would this be a well-designed reliable experiment? Support your decision with at least three reasons.
The experiment was well designed.
What is an experiment?An experiment is used to determine cause and effect relationships. We know that in this case, the research is aimed at being able to obtain the relationship that exists between the amount of nitrogen in the soil and the production of tomatoes per plant.
As we could see, the experiment includes a control that serves as a baseline for determining the validity of the results. Further more, the sunlight, water and soil were held constant. The experiment was even repeated further south to verify the results.
Based on a careful review of the experiment, the experiment was well designed.
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1. A bullet is fired into a tree trunk (Figure 1.12), striking it with an ini- tial velocity of 350 m/s. If the bullet penetrates the tree trunk to a depth of 8.0 cm and comes to rest, what is the acceleration of the bullet?
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You are conducting an experiment inside a train car that may move along level rail tracks. A load is hung from the ceiling on a string. The load is not swinging, and the string is observed to make a constant angle of 10∘ with the vertical. No forces are acting on the load. Which of the following statements are correct?
Select all 3 that apply.
a. The train is an inertial frame of reference
b. The train is not an inertial frame of reference
c. The train may be instantaneously at rest
d. The train may be moving at a constant speed in a straight line
e. The train may be moving at a constant speed in a circle
f. The train must be speeding up
The train is not an inertial frame of reference, and the train may be moving at a constant speed in a straight line or the train may be instantaneously at rest.
What is uniform speed and Acceleration?The pace at which an object's position changes about relation to a frame of reference and time is known as its velocity.
Uniform velocity is the state in which a body travels the same distance in the same amount of time. When the amplitude and direction of a body's average velocity (v) over time (t) do not change over time, the body is said to be moving at a uniform velocity. An illustration of uniform motion is the moon's orbit around the earth.
As the rate of change of velocity, acceleration is an illustration of a vector quantity.
When an item is moving in a straight path with an increase in velocity occurring at regular intervals of time, it is said to be experiencing uniform acceleration. The uniform acceleration of an object during free fall is one example.
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the tension T in Newtons in the string of a yoyo of mass 0.001kg is give by the function of two variables (see equation in photo).
find the approximate change in T if R increases from 4cm to 4.1cm and r increases from 0.8cm to 0.9cm. use your answer to explain if the tension increases or decreases.
The change in the tension if the radii r changes from 4.0 cm to 4.1 cm, and R changed from 0.8 cm to 0.9 cm is negative, therefore, tension reduces.
How can the correct description of the change in the graph of the function be found?
Mass of the yoyo = 0.001 kg
Initial value of the spindle radius, R = 4 cm
Initial length of the radius of the yo–yo, r = 0.8 cm
The final values are;
R2 = 4.1 cm, r2 = 0.9 cm
Which gives;
[tex]T_{r \:R} = \frac{0.001 \cdot g \cdot R }{2 \cdot r^{2} + R^2} [/tex]
Which gives;
[tex]T_{{r _1 \:R _1 }} = \frac{0.001 \times 9.8 \times 0.04 }{2 \times 0.008^{2} + 0.04²} = \frac{49}{216} [/tex]
[tex]T_{{r _2 \:R _2 }} = \frac{0.001 \times 9.8 \times 0.041 }{2 \times 0.009^{2} + 0.041^2} = frac{2009}{9215} [/tex]
Therefore;
[tex] \Delta T_{{r \:R }} = frac{2009}{9215} - \frac{49}{216} = - \frac{17591}{1990440} [/tex]
Given that difference between the final and the initial states is negative, the the value of the tension decreases
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Does the identity of a substance change when it melts?
Answer:
No
Explanation:
The chemical identity of the substance is the same. The substance is merely in a different state.
phys 181 magnitiude of a vector
The y component of the vector is 37.7 N and the angle between the vectors is 26.2⁰.
Y-component of the vectorThe y component of the vector will be determined from the resultant vector and the x component of the vector.
R² = Y² + X²
Y² = R² - X²
Where;
Y is the y-component of the vectorX is the x component of the vectorR is the resultant vectorY² = 85.2² - 76.4²
Y² = 1,422.08
Y = √1,422.08
Y = 37.7 N
Angle between the vectorsθ = arc tan (Y/X)
θ = arc tan (37.7/76.4)
θ = 26.2⁰
Thus, the y component of the vector is 37.7 N and the angle between the vectors is 26.2⁰.
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Sam's mom says: "We're about to eat dinner! Don't go more than a few blocks from home!" Is Sam's mom
more worried about Sam's distance or his displacement? Circle one and explain why you picked it.
Answer:
Displacement
Explanation:
I think Sam's mom isn't worried with how far away he goes, but will be upset if he isn't home fast enough for dinner.
If a dolphin swims at 1.85 m/s, how far will the dolphin have traveled after 6.0 s?
The distance traveled by by the dolphin is determined as 11.1 m.
What is distance?The distance traveled by an object is the product of speed and time of motion of the object. It measures the total path covered by the object.
The distance traveled by by the dolphin is calculated as follows;
Distance = speed x time of motion
Distance = 1.85 m/s x 6 s
Distance = 11.1 m
Thus, the distance traveled by by the dolphin is determined as 11.1 m.
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M
An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s
D. The input rating of the furnace is determined as 100,000 BTU.
What is input rating?
Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.
eff = (output rating / input rating) x 100%
80/100 = 80,000 BTU / input rating
0.8 = 80,000 BTU / input rating
input rating = 80,000 BTU/0.8
input rating = 100,000 BTU
Thus, the input rating of the furnace is determined as 100,000 BTU.
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In an experiment, measurement of a ball moving at constant velocity finds that it traveled (3.2 ± 0.2) m during a time interval of (7.4 ± 0.8) s. What is the speed of the ball (best estimate and uncertainty) in proper form? Give vbest in the first blank and δv in the second. Avoid the use of scientific notation; it will not be necessary in this case as there will be one non-zero digit directly before or after the decimal.
(0.43 ± 0.08)m/s is the speed of the ball.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. Speed can be thought of as the rate at which an object travels a distance, and it is a scalar quantity that denotes "how rapidly an object is traveling."
A fast-moving object travels at a high speed and completes a significant distance in a brief period of time. This is in contrast to an object traveling slowly, which travels a relatively short distance in the same length of time. Zero speed refers to an object that is not moving at all.
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battery acid has specific gravity equal to 1.285 and is 38.0% sulphuric acid by weight. what mass of sulphuric acid contained
The weight of sulphuric acid in the acid is 488.3 grams.
Specific gravity is a comparing tool used to compare weight of a specific liquid when compared to same unit of water as standard substance.
Specific gravity can be defined as the ratio of the density of a substance to that of a standard substance. Water being the standard substance here.
Let us consider the weights for 1 Liter of acid
Weight of 1 liter of water is 1000gram
Therefore weight of 1 liter of acid=1.285 x 1000 =1285 gram
It is given that the acid is 38 percent by weight of sulphuric acid
Therefore, weight of sulphuric acid= 38% of 1285 gram
weight of sulphuric acid = 38/100 x 1285
=488.3 gram
Therefore, weight of sulphuric acid in the acid is 488.3 gram
Hence, the weight of sulphuric acid in the acid is 488.3 grams
Disclaimer:
Quantity of acid has not been mentioned and hence 1 liter has been taken as the quantity.
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explain why the ray does not bend when it enters the semi circular glass block
The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.
Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.
Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.
Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.
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Part A
What is the instantaneous velocity of a freely falling object 5.0 s after it is released from a position of rest?
Express your answer to two significant figures and include the appropriate units.
v=
The instantaneous velocity of a freely falling object is 49.0 m/s
the instantaneous velocity is calculated by the first equation of the motion that is v = u + at here u = initial velocity and a is acceleration and t is time since its freely falling object the acceleration is acceleration due to gravity that is 9.8 m/s and the initial velocity is 0m /s the time given is 5 sec so putting it into equation 0+ 9.8X 5= 49.0 m/s
The instantaneous velocity of an object is the limit of the average velocity as the elapsed time approaches zero, or the derivative of x with respect to t: v ( t ) = d d t x ( t ) . v ( t ) = d d t x ( t ) . Like average velocity, instantaneous velocity is a vector with dimension of length per time.
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A rocket ship has several engines and thrusters.
While the Solid Rocket Booster (SRB) and main
engines only work together during the first 2
minutes of flight, the main engines operate for a
total of 8.5 minutes after the launch. Once the
SRBS are released, the main engines alone
accelerate the rocket from about 1341 m/s to 7600
m/s.
What is the height of the rocket when the rocket reaches
the speed of 7600 m/s? Show your work.
During the first two minutes of flight, the SRB and main engine accelerate at a rate of 52.16 m/s2.
Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. The provided parameters are the engine's initial velocity (u), its end velocity (v), and the time of motion (t), which is equal to two minutes (2 x 60 s).
Following are the calculations for the main engine and SRB's acceleration.
a= Δv / Δt
a=7600-1341 /2*60s
a=52.16 m/s²
Consequently, 52.16 m/s2 is the acceleration of the main engine and SRB during the first two minutes of flight.
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Fan B has an efficiency of 55% and usefully transfers 10J of energy to its kinetic energy store each second. Calculate how much energy is supplied to fan B per second
Fan B has an efficiency of 55% and usefully transfers 10J of energy to its kinetic energy store each second. 18.18 J of energy is supplied to fan B per second.
What definition of effectiveness is the best?Efficiency is the capacity to do a task with little or no wastage, effort, or energy. Being effective is maximizing the use of the resources at your disposal to achieve your objectives. Simply put, something is efficient if there is no waste and every process is optimized.
To calculate the input energy use the following formula
Efficiency = Energy(out) / Energy(in) * 100%
Efficiency = 55%
Energy(out) = 10J
Energy(in) = ?
On putting the given values we get,
55 = Energy(in) / 10 * 100%
On solving we get,
Energy(in) = 18.18J
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Mountain Dew is a mixture. Which of the following statements could be used to support the claim
that Mountain Dew is a mixture?
a. Mountain Dew is made of only one kind of element.
b. Mountain Dew is made of many elements that are all bonded together.
c. Mountain Dew is made of only one kind of molecule.
d. Mountain Dew is made of many substances that can be separated out.
Answer:
d. Mountain Dew is made of many substances that can be separated out.
We know that any mixture can be separated out into its individual components.
A car travels 60 m/s for 60 secs.
Calculate how far it traveled.
The formula for distance = speed * time
60 m/s is the speed.
60 secs is the time.
Fill them in.
distance = 60 * 60
distance = 3600
please give brainliest
Answer:
3600m
Explanation:
s= vt
= 60m/s × 60sec
=3600m
B (B=26.5)
56.0%
A (A = 44.0)
28.0°
C(C=31.0)
< 1 of 1 >
Part A
Given the vectors A and B shown in the figure ((Figure 1)), determine the magnitude of B-A
Express your answer using three significant figures.
195] ΑΣΦ
|B-A =
Determine the magnitude of B-A is 53.68
1.4
Magnitude is a term used to describe size or distance. We can relate the magnitude of the movement to the size and movement speed of the object. The magnitude of a thing or an amount is its size. A car moves at a faster pace than a motorcycle, just in terms of speed.
Magnitude is the relative size of an object (mathematics). The mathematical term for a vector's length or size is the norm. By using the symbol |v|, the magnitude of a vector formula can be utilized to determine the length of a given vector (let's say v). This amount is essentially the distance between the vector's beginning point and ending point.
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I)Graphite and iodine are non-metals but they shine. Explain it with suitable non metal reasons.
Answer: Graphite and iodine are non-metals that have lustre.
Explanation:
Graphite is a non-metal which has metallic luster. Metallic lustre is due to presence of free electrons in them, generally non metals don't exhibit this property, but iodine and graphite are non metals they exhibit metallic lustre.
Which of the following is true about the International Space Station?
A
It is on the surface of Mars.
B
It is the size of ten football fields.
C
It was built from separate parts sent to space.
D
It was a partnership between the US and Soviet Union.
Answer:
c because first is totally wrong and second one is about two football fields and d is also totally wrong because it is a partnership of at least 10 countrie so.i think č is correct answer.
Which option best describes the average acceleration from 40 to 70 s?
C. The average acceleration is positive and smaller in magnitude than the initial acceleration.
What is average velocity?Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.
a = Δv/Δt
where;
Δv is change in velocityΔt is change in timea = (250 - 248) / (70 - 40)
a = 0.067 m/s²
Thus, we can conclude that the average acceleration is positive and smaller in magnitude than the initial acceleration.
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1.
A car is driving on a circular track tha has a diameter of 6km and
traveled across the black shaded region in 1 hour. What will the
cars velocity be in meters/seconds. 1 km= 1000 meters
6 km
V=²& D=vt T = ²
The velocity of the car moving in the circular path is determined as 1.67 m/s.
What is linear velocity?Linear velocity is the measure of the rate of change of displacement with respect to time when the object moves along a straight path.
v = d/t
where;
d is the distance of the objectt is time of motionv = (6 x 1000 m) / (1 x 3600 s)
v = 1.67 m/s
Thus, the velocity of the car moving in the circular path is determined as 1.67 m/s.
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Three point charges (-6.0 mu{C}), (10.0 mu{C}) and (-7.0 mu{C}) are placed consecutively at corners of a square each side of which is 30 cm as shown in the figure. Calculate (vec{E}) at the vacant corner. Take ( k = 9.0times{10^{9}} Nm^ {2}C^{-2}).
Answer: (3.32times{10^{5}} Nm^ {-1})
Explanation:
if sample of silver and lead each had volumes equal to 1ml, which would have the greater mass, and how much would the difference in the masses be?
If sample of silver and lead each had volumes equal to 1ml, Lead would have the greater mass, and the difference in the masses would be around 0.84grams
What do you mean by term mass?The mass of a physical body is a measure of its entire makeup. This also measures inertia, or the body's resistance to acceleration (change in velocity) in the presence of a net force.
The basic mass unit in the SI is the kilogram (kg)
What is the calculation for the given problem?The Density of Silver = 10.5 g / cm^3
The Density of Lead = 11.34 g / cm^3
So the masses given volume of 1 cm^3 is:
mass of Silver = 10.5 grams
mass of Lead = 11.34 grams
So we see that Lead has greater mass for similar volume.
On solving the given problem we get
The difference is
11.34 – 10.5 = 0.84 grams
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Montez drives 400 km west to play a gig in Kansas City.
After the gig he drives 200 km east to jam with some
musicians in Columbia. What distance did he cover? What
was his displacement?
Answer:
See below
Explanation:
Distance covered = 400 + 200 = 600 km
displacement = 400 w - 200 e = 200 km west
5. You are concentrating on an exam, deciding between two answers that could possibility be right
for one of the questions. What part of the brain is activated during this task?
a. Temporal lobe
b. Occipital lobe
C.
Parietal lobe
d. Prefrontal cortex
Answer: D. prefrontal cortex
Explanation: The Prefrontal Cortex (PFC) and hippocampus are the most critical parts of the human brain for decision making
what is a reference point or reference frame
A rightward force of 125 N is applied to a book to move it across a desk with a rightward
acceleration. The net force is 75 N to the right. A free-body diagram for this situation looks like
this:
The free body diagram of this situation involves a rightward force of 125 N and frictional force of 50 N.
What is free body diagram?A free-body diagram is a sketch of an object of interest with all the surrounding objects stripped away and all of the forces acting on the body shown.
Frictional force on the objectF - ff = F(net)
where;
F is the rightward applied forceff is the frictional forceF(net) is the net force125 - ff = 75
ff = 125 - 75
ff = 50 N
Free body diagram of the forces125 N → Ф ← 50 N
Thus, the free body diagram of this situation involves a rightward force of 125 N and frictional force of 50 N.
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A ship sets sail with an initial velocity of 20 m/s and a constant
acceleration of 5 m/s2. What's the ship's velocity after a half
minute (in m/s)?
The ship's velocity after a half minute (in m/s) is 170 m/s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the velocity after half minuteInitial velocity (u) = 20 m/sTime (t) = 1/2 minute = 0.5 minute = 0.5 × 60 = 30 sAcceleration (a) = 5 m/s² Final velocity (v) = ?The final velocity can be obtained as illustrated below:
5 = (v – 20) / 30
Cross multiply
v – 20 = 5 × 30
v – 20 = 150
Collect like terms
v = 150 + 20
v = 170 m/s
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The space shuttle undergoes an acceleration of 53.9 m/s. How fast is it traveling at the end of 55.2 s?
It is traveling at the end of 55.2 s in the speed of 2975,28m/s
acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. In this instance, you requested the speed and provided the time, acceleration, and speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. Since acceleration is equal to time, multiplying the two numbers equals speed. The formula would be:
Acceleration x Time Equals Velocity
Velocity: 53.9 m/s2 x 55.2
= 2975,28 m/s
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