10 questions based on equation of motion under the influence of gravity
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Answer:
1. A coin was thrown vertically upwards and it rose to a length of 10 metre. What is the velocity with which the body was thrown upwards?
Answer: In this question: h = 10 m, v = 0, u = ?, g = -9.8 ms-²
Using equations: v² – u² = 2gh
0 – u² = -2 x9.8 x10; u² = 196; u = 14 m/s
2. A coin was thrown vertically upwards and it rose to a length of 10 metre. What was the time taken by the body to reach the highest point?
Answer: From the first question u = 14 m/s, v = 0, t = ?
v= u – gt
0 = 14 – 9.8 x t
t = 1.43 second
3. When we drop a coin and a feather simultaneously in a tube fill with air and evacuated tube, which one will reach the bottom first?
Answer: When we drop a coin and a feather simultaneously in a tube fill with air and evacuated tube, we get the following observations.
When the tube has air, coin which is heavier than the feather reaches the bottom of the tube more rapidly while the feather flutters down slowly.
When there is no air in the tube, coin and the feather to fall together.
From this experiment we understand that air resistance affects the motion of a falling body. The air resistance on a falling body depends on its shape, size and speed.
4. Is it possible for the acceleration to be decreasing while the velocity increasing during the same interval of time?
Answer: Yes, it’s possible. If the acceleration acts in the direction of motion, it will always cause increment in the velocity. If the acceleration is decreasing but acting in the same direction, the rate, of increase of velocity will decrease. Consequently the velocity will continue to increase slowly. For example, in case of a sphere falling in a viscous liquid, the net acceleration decreases but the velocity increases till the sphere attains its terminal velocity.
5. A beaker is left out in the rains. Will the rate at which the beaker is filled be altered if a horizontal wind starts to blow?
Answer: No. Beaker will be filled with the same rate because filling of beaker depends on vertical component of the rain.