1. Describe the motion of the race car shown in the graphic
1 answer:
The car will slow down due to the negative acceleration (backward)
Explanation:
The figure is missing: find it in attachment.
To answer this question, we have to use Newton's second law, which states that:
where
F is the net force on an object
m is its mass
a is its acceleration
We have to apply this law separately on the horizontal direction and vertical direction.
- In the vertical direction, we have two forces acting on the car: 2000 N upward and 2000 N downward, so they cancel out, and the net force in the vertical direction is zero.
- In the horizontal direction, the net force is instead
In the backward direction (to the right).
So, according to Newton's second law, the car will experience a horizontal acceleration:
And the acceleration has the same direction as the net force (so, backward). This means that the acceleration is opposite to the direction of motion of the car, so the car will slow down, since its velocity will decrease.
Learn more about acceleration:
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Answer:
10s
Explanation:
Acceleration is a measure of a rate of change of velocity, or in other words, a measure of how quickly the velocity is changing.
If acceleration is constant, then the velocity is changing by a constant amount.
With an acceleration of 100 m/s^2, starting from the launching pad (and thus, an initial velocity of zero), we can calculate how long it will take to reach a final velocity of 1000m/s with the following formula:
where "v" is the final velocity at some later time "t", "a" is the constant acceleration, and "v" sub-zero is the initial velocity.
So, it will take 10 seconds for the rocket to reach 1000m/s when starting from the launching pad, with a constant velocity of 100m/s^2.
<u>Verification:</u>
In this situation, it is quick to verify that 10 seconds is correct by looking at what the velocities will be each second.
Recognizing that the acceleration is , the velocity increases by 100 units [m/s] every second.
At time 0[s], the velocity is 0[m/s]
At time 1[s], the velocity is 100[m/s]
At time 2[s], the velocity is 200[m/s]
At time 3[s], the velocity is 300[m/s]
At time 4[s], the velocity is 400[m/s]
At time 5[s], the velocity is 500[m/s]
At time 6[s], the velocity is 600[m/s]
At time 7[s], the velocity is 700[m/s]
At time 8[s], the velocity is 800[m/s]
At time 9[s], the velocity is 900[m/s]
At time 10[s], the velocity is 1000[m/s]
So, indeed, after 10 seconds, the velocity reaches 1000 m/s
The intensity on a screen 20 ft from the light will be 0.125-foot candles.
<h3>What is the distance?</h3>Distance is a numerical representation of the length between two objects or locations.
The intensity I of light varies inversely as the square of the distance D from the source;
I∝(1/D²)
The ratio of the intensity of the two cases;
Hence, the intensity on a screen 20 ft from the light will be 0.125 foot-candles
To learn more about the distance refer to the link;
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