A block slides down a frictionless inclined ramp and experiences no significant air resistance. If the ramp angle is 17.0° above the horizontal and the length of the surface of the ramp is $20.0 \mathrm {~m} ,$ find the speed of the block as it reaches the bottom of the ramp, assuming it started sliding from rest at the top.
A)10.7 m/s
B)114 m/s
C)7.57 m/s
D)19.6 m/s

Question

Quizplus · Accepted Answer

The speed can be found using energy conservation. The potential energy at the top is converted to kinetic energy at the bottom. Using $ mgh = \frac{1}{2}mv^2 $ and $ h = 20.0 \sin(17.0°) $, solve for $ v $ to get approximately 10.7 m/s.

A Block Slides Down a Frictionless Inclined Ramp and Experiences 20.0 m,20.0 \mathrm {~m} ,20.0 m,

A Block Slides Down a Frictionless Inclined Ramp and Experiences $20.0 \mathrm {~m} ,$