A person at the equator moves in a circle due to the Earth\'s rotational motion.

Question

A person at the equator moves in a circle due to the Earth's rotational motion. How does this circular motion affect the person's apparent weight? [Hint: the normal force by the ground on the person indicates the person's apparent weight.] The circular motion causes the apparent weight to be smaller than it would be if the Earth were not rotating. There is no effect on the apparent weight. The circular motion causes the apparent weight to be larger than it would be if the Earth were not rotating. A suitcase is hanging straight down from your hand as you ride an escalator. Your hand exerts a force on the suitcase, and this force does work. This work is positive when you ride up and negative when you ride down. negative when you ride up and positive when you ride down. positive when you ride up or down. negative when you ride up or down 8. An object attached to a spring is pulled across a frictionless surface. If the spring constant is 45 N/m and the spring is stretched by 0.88 m when the object is accelerating at 1.4 m/s2, what is the mass of the object? 24 kg 28 kg 31 kg 36 kg 40 kg A high-jumper, having just cleared the bar, lands on an air mattress and comes to rest. Had she landed directly on the hard ground, her stopping time would have been much shorter. Using the impulse-momentum theorem as your guide, determine which one of the following statements comparing these two possible scenarios is correct. The air mattress exerts a greater impulse and a greater average force than the ground. The air mattress exerts a greater impulse and a smaller average force than the ground. The air mattress exerts a smaller impulse and a smaller average force than the ground. The air mattress exerts the same impulse but a greater average force than the ground. The air mattress exerts the same impulse but a smaller average force than the ground.

Explanation / Answer

1) a) the circular motion causes the apparent weight to be smaller than it would be if earth were not rotating

2) a) positive when you ride up and negative when u ride down

3) F = kx = ma

m = kx/a = 45*0.88/1.4 = 28 kg

4)impulse = change in momentum

as net momentum change is same in both case so impulse exerted would be the same

but impulse = force*time

as time taken by air mattress is more but impulse is same so avg force exerted by air mattress is less than that of hard ground so answer is (e).

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