Problem 7-43 Work, grav. PE - Part 3 - B

In a biceps curl, a weightlifter lifts a mass of \(15\; kg\) a vertical distance of \(66 \;cm\).

(a) How much work is done by gravity on the mass?
(b) Neglecting any accelerations, how much work is done by the weightlifter on the mass?
(c) By how much does the gravitational potential energy of the mass increase?

Accumulated Solution

FBD A with forces, directions and weight indicated.

(A)  \(F_gd = (15 \;kg)(-9.8\; m/s^2)(0.66\; m) = -97\; J\)

(B)  \(F_{app} = -mg = -(15 \;kg)(-9.8 \;m/s^2) = 147\; N \\ W_{app} = (147\; N)(0.66\; m) = 0.97\; J\)

Correct!

\(F_{app} = -mg = -(15\; kg)(-9.8\; m/s^2) = 147\; N\)
 
The work done by \(F_{app} = (147\; N)(0.66\; m) = 0.97\; J\)

This is the answer to part (b)

The increase in \(E_p\) of the mass is:

(A)   \(-97\; J\)

(B)   \(97\; J\)

(C)   \(0\)