A object is moved through the following vertical displacements relative to its…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

3.0\,\text{kg}

object is moved through the following vertical displacements relative to its initial position: upward

4.0\,\text{m}

, then downward

7.0\,\text{m}

, and finally upward

2.0\,\text{m}

. Taking

g = 9.8\,\text{m/s}^2

, which of the following pairs correctly gives (1) the net change in gravitational potential energy

\Delta U

of the object relative to its starting point and (2) the net work

W_g

done on the object by the gravitational force? (a)

\Delta U \approx +29\,\text{J};\; W_g \approx -29\,\text{J}

(b)

\Delta U \approx -29\,\text{J};\; W_g \approx +29\,\text{J}

(c)

\Delta U \approx -29\,\text{J};\; W_g \approx -29\,\text{J}

(d)

\Delta U \approx -88\,\text{J};\; W_g \approx +88\,\text{J}