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A boy places his toy car on an inclined ramp and finds that it accelerates from

ID: 1501622 • Letter: A

Question

A boy places his toy car on an inclined ramp and finds that it accelerates from rest, down the full length of the ramp which is 5.0m long in a time of 3.0s. Ignoring friction, how steep is the ramp? A boy places his toy car on an inclined ramp and finds that it accelerates from rest, down the full length of the ramp which is 5.0m long in a time of 3.0s. Ignoring friction, how steep is the ramp? A boy places his toy car on an inclined ramp and finds that it accelerates from rest, down the full length of the ramp which is 5.0m long in a time of 3.0s. Ignoring friction, how steep is the ramp?

Explanation / Answer

Using d = ut + at^2 /2

5 = 0 + a (3^2) /2

a = 1.11 m/s^2

and on frictionless incline,

mgsin@ = ma

a = g sin@

1.11 = 9.8 sin@

@ = 6.51 deg

os raMP IS inclined at an angle of 6.51 deg