Question

A box of mass 22.3 kg is pushed 7.32 meters uphill on an inclined plane sloped at 17.6° to the horizontal. What is the change in its potential energy?
Select one:
a. -803 J
b. 1525 J
c. 484 J
d. 803 J
e. 2.21 J

Answer 1

Answer on Question #63306, Physics / Mechanics | Relativity

Question:

A box of mass $22.3\mathrm{kg}$ is pushed 7.32 meters uphill on an inclined plane sloped at $17.6{}^{\circ}$ to the horizontal. What is the change in its potential energy?

Select one:

a. -803 J

b. 1525 J

c. 484 J

d. 803 J

e. 2.21 J

Solution:

The mass of the box $m = 22.3 \, kg$ , $s = 7.32 \, m$ , $\alpha = 17.6{}^{\circ}$ .

At point A the potential energy is zero because the box is on the ground.

At point B its potential energy $E_{p} = mgh$ , where $g = 9.81m / s^2$ . So the change in potential energy is equal to $E_{p}$ .

The height $h$ we may calculate this way: $h = s \cdot \sin \alpha$ , and then $E_{p} = mgs \cdot \sin \alpha$ .

$E_{p} = 22.3\cdot 9.81\cdot 7.32\cdot \sin 17.6{}^{\circ} = 484.2J$

Answer:

c. 484 J

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