A shopper pushes a grocery cart 20 m at constant speed on level ground at a 30 degrees angle and a force of 15 N. What is the work done by the shopper?
Options
A
B
C
D
Answer & Analysis
Answer
A
Analysis
To determine the work done, we need to
calculate the component of the force that is in the direction of the
displacement. The formula for work is: W = Fdcos(θ)
where:
W is the work done,
F is the force applied,
d is the distance over which the force is
applied,
θ is the angle between the force and the
direction of displacement.
Given:
F = 15N
d = 20m
θ = 30°
Plugging in the values, we get:
W = Fd cos(θ)
W = 15 × 20 × cos(30°)
W = 300 × cos(30°)
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