A roller-coaster car is starting from rest from the top of the slope of height H....

A roller-coaster car is starting from rest from the top of the slope of height H. As it reaches the bottom of the slope, it is moving at 30 m/s along a straight horizontal track. Using the principle of conservation of energy,

a. Calculate the height H.

b. Calculate the speed of the roller-coaster car after climbing the 10 m hill shown in the figure. Ignore friction.

c. What is the change in kinetic energy as the car goes a. Downhill and b. Uphill

d. What is the change in gravitational potential energy as the car goes a. Downhill and b. Uphill

Expert Solution

Dear Student,

As mass of roller-coaster car is not given in the question, I assumed mass to be 'm'.

So the answer of part (c) and (d) contains the variable 'm'. So, don't interpret it as meter that 'm' sign in answer indicates mass of the roller-coaster car.

If you have data of mass kindly put it in final expressions to get a net numeric result.

Hope it helps.

Thanks.

genius_generous answered 2 years ago

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