Some curious students hold a rolling race by rolling four items down a steep hill. The four items are a solid homogeneous sphere
, a thin spherical shell, a solid homogeneous cylinder and a hoop with all its mass concentrated on the hoop's perimeter. All of the objects have the same mass and start from rest. Assume that the objects roll without slipping and that air resistance and rolling resistance are negligible. For each statement below, select True or False.
a) Upon reaching the bottom of the hill, the hoop will have a larger rotational kinetic energy than any of the other objects will when they reach the bottom of the hill.
A: True B: False
b) The hoop reaches the bottom of the hill before the homogeneous cylinder.
A: True B: False
a) Upon reaching the bottom of the hill, the hoop will have a larger rotational kinetic energy than any of the other objects will when they reach the bottom of the hill.
A: True B: False
b) The hoop reaches the bottom of the hill before the homogeneous cylinder.
A: True B: False
1 answer:
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Answer:
Explanation:
Let at any moment of time the friend's car is at some horizontal distance "x" from the position of balloon.
Now if the altitude of the balloon is fixed and it is at height "h"
so here we will have
now we know that
initially the angle of the friend's car is 35 degree
so the horizontal distance will be
similarly if the angle after passing the car position is 36 degree
then we have
now the speed of the balloon is constant
so we have
so the final position of friend when the angle is 36 degree
Answer:
1109m
Explanation:
The distance h₁ traveled by the rocket during acceleration:
The velocity v₁ at this height h₁:
When the rocket runs out of fuel, energy is conserved:
Solving for h₂: