Answer:

Explanation:
We have acceleration given by

Velocity at t = 0

Velocity is given by

at t = 0

The equation will be

Top of first hill:
high PE
low KE
bottom first hill:
low PE
high KE
Friction slows the speed of the roller coaster
Answer:
104 N
Explanation:
Calculate the spring stiffness:
F = kx
32.5 N = k (0.500 cm)
k = 65 N/cm
Find the force for the new length:
F = kx
F = (65 N/cm) (1.60 cm)
F = 104 N
With smaller gravitational forces and therefor less vertical acceleration, the projectile launched on the moon ... with the same initial speed and direction ...
-- climbs faster,
-- spends more time climbing,
-- reaches a higher peak,
-- falls slower,
-- spends more time falling, and
-- covers more horizontal distance
than the projectile launched on the Earth.
This is not because of air resistance. It would be true even if there were no air resistance on the Earth. It's entirely a gravity thing.
Answer:
The induced emf in the coil is 0.522 volts.
Explanation:
Given that,
Radius of the circular loop, r = 9.65 cm
It is placed with its plane perpendicular to a uniform 1.14 T magnetic field.
The radius of the loop starts to shrink at an instantaneous rate of 75.6 cm/s , 
Due to the shrinking of radius of the loop, an emf induced in it. It is given by :

So, the induced emf in the coil is 0.522 volts.