A block is sliding down the frictionless ramp. The ramp is inclined at 30 to the

Question

A block is sliding down the frictionless ramp. The ramp is inclined at 30 to the horizontal. Add vectors to the above diagram to show the acceleration due to gravity and the acceleration down the ramp. Calculate it’s acceleration in the direction down the ramp. Hint: This is the component of the acceleration due to gravity parallel to the ramp. Take the direction of positive displacement to be parallel to the ramp and to the right. Calculate the component of the acceleration due to gravity parallel to the ramp, if the ramp is inclined at 15 degrees to the horizontal.

Explanation / Answer

acceleratiion parallel to the ramp, a= gsin(30degree) = 4.9 m/s^2

V^2 = U^2 + 2*a*S

=> V^2 = 0 +2*a*S

if theta= 15 degree

acceleration parallel to the ramp, a=gsin(15degree) = 2.53 m/s^2

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