A roller coaster travels in a circular path. A) assume the speed of the roller c

Question

A roller coaster travels in a circular path.
A) assume the speed of the roller coaster is 4.10 m/s at the top of the loop of radius 8.00 m. Find the force exerted by the seat on a 57.0 kg passenger at the top of the loop.
B) then, assume the speed remains the same at the bottom of the loop, and find the force exerted by the seat on the passenger at this point A roller coaster travels in a circular path.
A) assume the speed of the roller coaster is 4.10 m/s at the top of the loop of radius 8.00 m. Find the force exerted by the seat on a 57.0 kg passenger at the top of the loop.
B) then, assume the speed remains the same at the bottom of the loop, and find the force exerted by the seat on the passenger at this point
A) assume the speed of the roller coaster is 4.10 m/s at the top of the loop of radius 8.00 m. Find the force exerted by the seat on a 57.0 kg passenger at the top of the loop.
B) then, assume the speed remains the same at the bottom of the loop, and find the force exerted by the seat on the passenger at this point

Explanation / Answer

A)
At top:
mg-N = m*v^2/r
N = m*g - m*v^2/r
= 57*9.8 - 57*(4.1)^2/8
=558.6 - 119.8
= 438.8 N
This is the normal force exerted by the seat belt.
Answer: 438.4 N

B)
At bottom:
N = m*g + m*v^2/r
= 57*9.8 + 57*(4.1)^2/8
=558.6 + 119.8
= 678.4 N

This is the normal force exerted by the seat belt.
Answer: 678.4 N

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