Please show all. A skateboard with mass M rolls down a ramp, starting from rest.

Question

Please show all.

A skateboard with mass M rolls down a ramp, starting from rest. It takes time T to roll a distance L along the ramp. In terms of M, T, and L, what is the skateboard's acceleration down the ramp? Dylan and Kelly measure the time it takes for two cans to roll down a ramp, conducting fifty trials for each can. They then count up all their data and make a histogram (shown below). As part of their conclusion in their lab report, they write: "The max to min ranges for the times for each can are 2.8 to 3.6 seconds and 2.5 to 3.0 seconds. Since the ranges overlap, we must conclude that there is no significant difference between the two cans." Do you agree with their conclusions? Why or why not? If not, explain how you would analyze this data differently.

Explanation / Answer

A) in case of rolling acceleration a= g*sin(theta)/(1+(I/M*R^2))

Here initial velocity u=0

s=( a*T^2)/2

a=2*s/T^2

b) yes I agree with this conclusion because the time for each can depend only on the distance and acceleration of the can.

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