A roller coaster cart of mass (m1=127 kg) initially sits at rest on a track. Once the motor is activated, the cart is accelerated forward (across level ground) until it reaches the bottom
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Letting the base of the loop represent h=0, how much GPE does the cart have at the top? (Give your answer to 3 sig figs. and in units of J)
-What is the total mechanical energy of the cart at the top of the loop? (Give your answer to 3 sig figs. and in units of J)
-What speed does the cart have at the base of the loop? (Give your answer to 3 sig figs.)
-What work must be done by the motor to accelerate the cart from rest to its final velocity at the base of the loop? (Give your answer to 3 sig figs. and in units of J. Indicate whether the work is positive or negative with the sign of your answer.)
-When the cart is at the 9 o'clock position of the loop (it has a height above the base of the loop of exactly one loop radius), what is the speed of the cart? (Give your answer to 3 sig figs.)
-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the force of the track exerted on the cart? (Give your answer to 3 sig figs. and in units of N)
-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the torque applied by the force of the track? Let the center of the loop be the axis of rotation. (Give your answer to 3 sig figs. and in units of N*m [which is the SI unit for torque])
-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the net torque exerted on the cart? Let the center of the loop be the axis of rotation. (Give your answer to 3 sig figs. and in units of N*m [which is the SI unit for torque])
I hope this will help you
-What is the total mechanical energy of the cart at the top of the loop? (Give your answer to 3 sig figs. and in units of J)
-What speed does the cart have at the base of the loop? (Give your answer to 3 sig figs.)
-What work must be done by the motor to accelerate the cart from rest to its final velocity at the base of the loop? (Give your answer to 3 sig figs. and in units of J. Indicate whether the work is positive or negative with the sign of your answer.)
-When the cart is at the 9 o'clock position of the loop (it has a height above the base of the loop of exactly one loop radius), what is the speed of the cart? (Give your answer to 3 sig figs.)
-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the force of the track exerted on the cart? (Give your answer to 3 sig figs. and in units of N)
-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the torque applied by the force of the track? Let the center of the loop be the axis of rotation. (Give your answer to 3 sig figs. and in units of N*m [which is the SI unit for torque])
-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the net torque exerted on the cart? Let the center of the loop be the axis of rotation. (Give your answer to 3 sig figs. and in units of N*m [which is the SI unit for torque])
I hope this will help you
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