Question

select the correct answer.
a 25 newton force applied on an object moves it 50 meters. the angle between the force and displacement is 40.0°. what is the value of work being done on the object?
a. 0 joules
b. 9.6 × 10² joules
c. 1.2 × 10³ joules
d. -9.6 × 10² joules
e. -1.2 × 10³ joules

Explanation:

Step1: Recall Work Formula

Work \( W \) is calculated by \( W = Fd\cos\theta \), where \( F \) is force, \( d \) is displacement, and \( \theta \) is the angle between them.

Step2: Substitute Values

Given \( F = 25\,\text{N} \), \( d = 50\,\text{m} \), \( \theta = 40.0^\circ \).
\( \cos(40.0^\circ) \approx 0.7660 \).
\( W = 25 \times 50 \times 0.7660 \).

Step3: Calculate Result

\( 25 \times 50 = 1250 \), then \( 1250 \times 0.7660 \approx 957.5 \approx 9.6 \times 10^2\,\text{joules} \).

Answer:

B. \( 9.6 \times 10^2 \) joules