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3. a mover applies a 120 n force at a 60° angle to the horizontal to pu…

Question

  1. a mover applies a 120 n force at a 60° angle to the horizontal to push a crate 10 m along the floor. calculate the work done.

Explanation:

Step1: Identify the formula for work

The formula for work $W = Fd\cos\theta$, where $F$ is the force, $d$ is the displacement, and $\theta$ is the angle between the force and the displacement.

Step2: Substitute the given values

Given $F = 120\ N$, $d=10\ m$, and $\theta = 60^{\circ}$, and $\cos60^{\circ}=\frac{1}{2}$. So $W=120\times10\times\cos60^{\circ}$.

Step3: Calculate the work

$W = 120\times10\times\frac{1}{2}=600\ J$.

Answer:

$600\ J$