The number of significant figures in the following product: 0.005032 x 4.0009 is 9.
What is significant figure?Significant figure is a figure that is meaningful with respect to the precision of a measurement.
It is a digit that is nonzero, followed by a nonzero digit, or (for trailing zeroes) justified by the precision of the derivation or measurement.
According to this question, the product of 0.005032 x 4.0009 is as follows: 0.0201325288
The result of this product is as follows:
Decimal notation: 0.0201325288No. of significant figures: 9No. of decimals: 10Scientific notation: 2.01325288 × 10-²Therefore, the number of significant figures in the following product: 0.005032 x 4.0009 is 9.
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Which statement about the accuracy and precision of measuring tools is true
Answer;
1. Accuracy is the closeness with which an instrument approaches the true value of the quantity being measured
2. Precision is a measure of the reproducibility of the measurement
3. Accuracy may be specified in terms of limits of errors.
In a longitudinal wave, the medium moves
left to right
up and down
in circles
In a longitudinal wave, the particles of the medium have to and fro motion about their mean motion, along the direction of wave motion.
Longitudinal waves are waves in which the displacement of the medium is in the same (or the opposite) direction as the wave propagation and the medium vibration is parallel ("along") to the direction the wave travels. Because they create compression and rarefaction when passing through a material, mechanical longitudinal waves are also known as compressional or compression waves. A nice illustration is a wave down the length of a stretched Slinky toy, where the space between the coils grows and shrinks. Examples from the real world include seismic P-waves and sound waves (which are oscillations in pressure, a particle's displacement, and a particle's velocity) (created by earthquakes and explosions).
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f1=30Nandf2=10Nact on amass of 2kg if the cofficient of friction between the mass and the horizontal surface is 0.2 what is the acceleration of the mass
The mass is moving with an acceleration of 13.299 m/s².
What is the straight forward meaning of acceleration?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations.
According to therefore mentioned statement,
the direction of the net force applied on an object determines its acceleration;
according to mentioned data;
F₁=30N
F₂=10N
Net force on object;
F=F₁+F₂
F=F₁y+F₂Cos30°(-x)+F₂ Sinx(-y)
F=3y+10×(√3/2)(-x)+10×(1/2)(-y)
F=ma
ma=-5√3/2(x)+25y
2a=-5√3x/2+25y
a=-5√3x+25y
magnitude(a)=√(-5√3/2)²+(25/2)²
(a) =13.299m/s²
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A ruler is knocked off the end of a desk with a horizontal velocity of 1.2ms-1. If the desktop is 0.8m above the floor then calculate:
a) the resultant velocity of the ruler when it hits the floor?
b) the horizontal displacement of the ruler?
If a ruler is knocked off the end of a desk with a horizontal velocity of 1.2ms-1. If the desktop is 0.8m above the floor then the resultant velocity of the ruler would be 4.13 meters/seconds.
What is a projectile motion?It can be defined as the motion of any object or body when thrown from the earth's surface and follows any curved path under the effect of the gravitational force of the earth.
The final velocity of the ruler can be calculated with the help of the third equation of motion in the vertical direction under the influence of gravity,
v² - u² = 2as
v = √(2gh)
=√2*9.81*0.8
= 3.96 m/s
The resultant velocity of the ruler = √(3.96² + 1.2²)
=4.13 meters / seconds
Time is taken to hit the ground = 3.96 / 9.81
=0.4036 seconds
The horizontal displacement of the ruler = 1.2*0.4036
=0.48432 meters
Thus, the resultant velocity of the ruler would be 4.13 meters/seconds.
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76. Two electric charges -6μC and
+6μC are placed respectively in two
points A and B distant of 1m apart. The
electric field is null at the point C:
A.Located in the middle of the
segment AB
B.Located outside segment AB at
1m from A.
C.Located outside segment AB at
1m from B
D.Outside the line AB
E.No answer is right.
A. The electric field is null at the point C; located in the middle of the
segment AB.
What is electric field?Electric field is the region of space where the influence of electric force is felt.
Electric field at the middle of ABE = kq/r²
where;
r is the middle of AB = 0.5 mE(+6μC) = (9 x 10⁹ x 6 x 10⁻⁶) / (0.5²)
E(+6μC) = +216,000
E(-6μC) = (9 x 10⁹ x 6 x 10⁻⁶) / (0.5²)
E(-6μC) = -216,000
Sum of the electric field at the middle of ABE(net) = E(+6μC) + E(-6μC)
E(net) = 216,000 - 216,000 = 0
Thus, the electric field is null at the point C; located in the middle of the
segment AB.
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Please help with this problem!
The horizontal displacement of the backpack as it falls is 765 m.
Data obtained from the questionFrom the question given above, the following data were obtained:
Initial velocity (u) = 85 m/sAcceleration due to gravity (g) = 9.8 m/s²Time (t) = 9 sHorizontal displacement (s) =?How to determine the horizontaal displacementThe horizontal displacement of the backpack can be obtained as follow:
s = ut
s = 85 × 9
Horizontal displacement = 765 m
From the calculation made above, we can see that the horizontal displacement (i.e distance from the car) were the backpack will land is 765 m. Thus, the backpack will not land on your car. Hence, you do not need to move the car.
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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
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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Is it possible for an object to be accelerating and at rest at the same time? Explain.
Answer:
Yes
Explanation:
acceleration is a change in velocity, so an object might be momentarily at rest but a split-second later have some speed, i.e. it can be changing its velocity even if it is momentarily at rest.
A ball dropped from a window strikes the ground 2.71 seconds later. How high is the window above the ground?
[tex]s=36.52m[/tex]
Given ,
Time =2.71 second
We apply the formula
[tex]s=ut+12at^2[/tex]
[tex]u=0,t=2.73 \\a=g \\So, the \\height \\ s=36.52m[/tex]
When a body is lying on a horizontal surface, the object is subjected to a downward force due to the action of gravity. These gravitational forces always aim to attract the item, confirming the force's nature as an attractive force. Consider an object of mass "M" resting on a horizontal surface; the force exerted to the object by gravity is equal to the weight of the object "W." The acceleration owing to gravity, indicated as "g," is the acceleration by which an object is drawn towards the ground. As a result, Newton's second law states that when the values in the above connection are substituted.
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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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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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One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.97 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple’s displacement? (c) What is the direction (relative to due east) of the couple’s displacement?
The distance they travel is 4.85 km. the magnitude of the couple’s displacement is 1.456 km. The displacement vector is 315 degrees counterclockwise in relation to the east.
The total distance traveled is the overall distance traveled during the entire excursion. However, the displacement is the net distance traveled between the starting location and the final position. Displacement cannot exceed distance in any way. An element of a vector is the displacement. It is a scalar quantity, the distance.
The couple circles a circular lake on foot about 3/4 of the way.
The circle has a radius of r = 1.03 km, or 1030 meters.
The couple's journey begins at point A and ends at point D by taking the path ABCD.
The journey's distance is calculated as follows:
d = 0.75*2*3.14*1.03*d
=4.85 km
The net distance between points A and D is the displacement's magnitude. |d| = |AD|=|r2+r2
= 21.03/2
=1.456 km
The displacement vector is 315 degrees counterclockwise in relation to the east.
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A string applies an upward (tension) force of 34 N to lift a bucket of mass 2.8 kg. What is
the acceleration of the bucket? (Answer in m/s²)
The acceleration of the bucket of mass 2.8 kg which is lifted upwards with a force of 34 N is 12.14 m / s²
According to Newton's second law of motion,
F = m a
F = Force
m = Mass
a = Acceleration
F = 34 N
m = 2.8 kg
a = F / m
a = 34 / 2.8
a = 12.14 m / s²
Acceleration is the rate of change of velocity of an object with respect to time. It is denoted as a.
Therefore, the acceleration of the bucket is 12.14 m / s²
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Do the following calculation and express the final answer in
proper scientific notation with the correct number of
significant digits:
(2.3 × 10^-3)(5.880 × 10^4) + 8.44
Answer:
x 10
I did the calculations and got 143.68. Since there’s multiplication I thought the number of sig figs would be 2 since 2.3 x 10^-3 has 2 sig figs. And I rounded the output to 14 and input 1.4 x 10^1 as the answer but got it wrong.
Answer:
Explanation:
I got the same thing. So, i don't know but good luck
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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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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part 1 of 2
A runner is jogging in a straight line at a
steady u, 2.2 km/hr. When the runner is
L 4 km from the finish line, a bird begins
flying straight from the runner to the finish
line at v= 6.6 km/hr (3 times as fast as the
runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.
24
finish
line
L
What cumulative distance does the bird
travel? Even though the bird is a dodo, as-
sume that it occupies only one point in space
(a "zero" length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.
Answer in units of km
After the given information and solving it the cumulative distance the bird travel is 6 km.
Equation :The given parameters of the motion are;
The velocity of the runner,
vr = 2.2 km/hr
The distance from the finish line and the bird begins to fly from the runner to the finish line,
L = 4 km
The direction and speed of the runner = 6.6 km/hr in a straight line to the finish line and back to the runner
The speed of the bird = 4 × The speed of the runner
Given,
The length of the bird = 0
The bird turns without loss of speed
The time it takes the bird to reach the finish line,
t₁ = 4 km / (6.6 km/hr) = 0.606 hr
The distance the runner runs in time t₁,
d = 2.2 km/hr × 0.606 hr
d = 1.3332 km
The distance runner and bird combined travel before they meet,
X, is given as follows;
X = L - d
X = 4 km - 1.3332 km
X = 2.667 km
We get; X = (vr + vb) x t
Which gives;
2.667 = ( 2.2 + 6.6) × t
t = 2.667/( 2.2 + 6.6 )
t = 2.667/(8.8)
t = 0.303
The time it take for the bird and the runner to meet,
t = 0.303 hour
The distance the bird travels before reaching the runner,
d₂ = vb x t
So,
d₂ = 6.6 km/hr × 0.303 hr = 2 km
The cumulative distance the bird travels dt = L + d2
dt = 4 km + 2km
dt = 6 km
The cumulative distance the bird travels by the time it reaches the runner dt = 6 km
Alternatively, we have;
db = d₁ + d₃
dr = d₂
d₁ + d₃ + d₂ = 2·L
So, dr + db = 2·L
dr = The distance runner runs before meeting with the bird
db = The distance bird travels before meeting with the runner
db = 4dr
So,
dr + db = 3 × 4 = 12
dr + 4· dr = 4 · dr = 12
dr = 12 /4 = 3
db =3 × dr
db = 3 × 2
db = 6 km
The distance bird travels before meeting with the runner,
db = 6 km
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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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scoliosis is a common disease of the spine where the spine is not straight but forma an S or C shape while viewing a patients from the front
The correct answer is Scoliosis is a spine curvature that occurs most frequently in adolescents.
Scoliosis is a spine curvature that occurs most frequently in adolescents.The most commonly used brace is made of plastic and contoured to fit the body. Because it fits under the arms and around the rib cage, lower back, and hips, this brace is almost invisible under clothing.
The majority of braces are worn between 13 and 16 hours per day. Idiopathic, congenital, and neuromuscular conditions The most common type of scoliosis is idiopathic. This means that the cause is unknown or that no single factor contributes to the disease's development.Scoliosis can improve with treatment, but it is not always a sign of something serious, and it is not always necessary if it is mild.
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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:
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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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?
rtdgsehrtejffej0.345
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.
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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An object with a mass of 20 kg has a het force of 80 N acting on it. What is the acceleration of the object?
Explanation:
f=ma
a=f/m
a=80/20 = 4m/s
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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Which combination of atoms form covalent bonds?
nonmetals & metals
metals only
nonmetals only
none of these
Previous
what is the total moved without regard to direction
The entire motion of an object, regardless of direction.
In physics, motion is that the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and frame of regard to an observer and measuring the change in position of the body relative to that frame with change in time. The branch of physics describing the motion of objects without regard to their cause is called kinematics, while the branch studying forces and their effect on motion are named dynamics.
If an object isn't changing relative to a given frame of reference, the thing is said to be at rest, motionless, immobile, stationary, or to possess a constant or time-invariant position with reference to its surroundings. Modern physics holds that, as there's no absolute frame of reference, Newton's concept of absolute motion can't be determined
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what type of force os your answer in number 4?
The electromagnetic force, the weak nuclear force, the strong nuclear force, and gravity.
The strong force, weak force, electromagnetic force, and gravitational force are the four fundamental forces operating in the universe. They each operate within different parameters and have unique strengths. Although gravity has an infinite range, it is the weakest force. Although it has an infinite range, the electromagnetic force is much stronger than gravity. The weak and strong forces are dominant only at the level of subatomic particles and are only effective over very small distances. Even though it has a weaker name than gravity, the weak force is actually the weakest of the three. The strongest of the four fundamental interactions is the strong force, as its name suggests.
Actually, out of the four fundamental forces, gravity is the weakest. The four forces are the electromagnetic force, gravity, the weak nuclear force, and the strong nuclear force, in that order.
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