A cart rolls with negligible friction on a ramp that is inclined at an 20 degree

Question

A cart rolls with negligible friction on a ramp that is inclined at an 20 degree angle above level ground. it is released from rest and reaches the bottom of the ramp in 2 seconds. How far did it travel. along the ramp? What was the vertical height from which the cat was released ? At the bottom of the first tamp. the cart smoothly tolls onto a second tamp without losing any significant amount of speed The second tamp is lilted up above the ground by an angle of 23 degrees What distance up the ramp does the cart reach before coming to rest (give the distance as measured from the base of the second tamp) ? What is the maximum vertical height that the can reaches when it rolls up the second ramp?

Explanation / Answer

20)

theta = 20 degree

t = 2 s

acceleration , a = g * sin(theta)

a = 9.8 * sin(20 degree)

distance travelled along the ramp = 0.5 * a * t^2

distance travelled along the ramp = 0.5 * 9.8 * sin(20 degree) * 2^2

distance travelled along the ramp = 6.704 m

the distance travelled along the ramp is 6.704 m

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