Question

A 1,470-N force pushes a 500-kg piano up along a ramp. What is the work done by the 1,470-N pushing force on the piano as it moves 10 m up the ramp

Answer 1

W = 14700 J

Step-by-step explanation:

This is an exercise on Newton's second law.

To solve it we must fix a coordinate system, the most common is an axis parallel to the ramp and the other perpendicular axis, we write Newton's second law

Y Axis . Perpendicular to the ramp

N - Wy = 0

X axis. Parallel to the ramp, we assume it is positive when the ramp is going up

F - Wx = m a

in this case F = 1470 N and it is parallel to the plane.

Work is defined by

W = F .d

boldface indicates vectors

W = F d cos θ

let's calculate

W = 1470 10 cos 0

W = 14700 J