Question

(II) A wet bar of soap (mass out friction down a ramp 2.0 m long inclined at 7.3°. How long does it take to reach the bottom? Neglect friction. How would this change if the soap's mass were 250 grams? 150 grams) slides with-

Answer 1

without friction, we only need to consider the force of gravity as it acts on the object on the ramp

force of gravity on an incline: F = mgsin(theta) where m is the mass, g is the gravitational constant, and theta is the incline angle. plug in the appropriate quantities and evaluate F.

from there, the acceleration can be calculated using F = ma

finally, use the kinematics equation delta(x) = v0 * t + (1/2)at^2 where delta x is the length of the ramp, a is the acceleration from the previous step, v0 is initial velocity (0 since the soap starts at rest) and t is time. solve for t.