Question

In the image below, a worker is pushing a crate with a mass of 20 kg up aramp at a constant rate. Ignoring friction, how much force must the workerapply so that the crate continues to move at the same speed? (Recall that g =9.8 m/s2WeightO A. 37.3 NOB. 62.5 NO C. 50.7NO D. 48.6N

Answer 1

Free diagram of the crate:

The free body equation for the crate is given as,

`F=mg\sin \theta`

Here, F is the force applied, m is the mass of the crate, g is the acceleration due to gravity and θ is the angle of inclination.

Substituting all known values,

`\begin{gathered} F=20\text{ kg}*9.8\text{ m/s}^2*\sin (15^(\circ)) \\ =50.7\text{ N} \end{gathered}`

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