Question

You do a physics lab experiment on another planet. A small block is released from rest at the top of a long frictionless ramp that is inclined at an angle of 36.9° above the horizontal. You measure that a small block travels a distance 18.0 m down the incline in 5.70 s. What is the value of g, the acceleration due to gravity on this planet?

Answer 1

Answer:

g= 1.8 m/s²

Explanation:

From conservation of energy we know:

$mgh=\frac{1}{2}mv^2$

Solving for g with h being the height of the ramp with angle ∅ and length L:

(1) $g=\frac{v^2}{2h}=\frac{v^2}{2Lsin\theta}$

The velocity v at the bottom of the ramp for a constant acceleration a in a time t is given by:

(2)$v=at=gsin\theta t$

Plugging equation 2 in to equation 1:

(3) $g=\frac{2L}{sin\theta t^2}$