Tim pushes a box with a constant force 250 N at an angle of 45° to the horizontal. If he pushes the box 22 meters, how much work has he done? Keep 4 significant figures.
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Answer: 3889 J
Explanation:
Given
Force applied [tex]F=250\ N[/tex]
the direction of application is [tex]\theta=45^{\circ}[/tex] above the horizontal
If he pushes the box 22 m
Work done is given by the dot product of force and displacement
[tex]\Rightarrow W=F\cdot s\\\Rightarrow W=250\times 22\times \cos 45^{\circ}\\\Rightarrow W=3889\ J\quad [\text{upto four significant figure}][/tex]
Hence, option (d) is correct.