Question

A farm hand does 972 J of work pulling an empty hay wagon along level ground with a force of 310 N [23° below the horizontal]. The distance the wagon travels is: a) 32 m b) 1.7m c) 0.39 m d) 3.4 m

Answer 1

Answer:

Option d)

Solution:

As per the question:

Work done by farm hand, $W_{FH} = 972J$

Force exerted, F' = 310 N

Angle, $\theta = 23^{\circ}$

Now,

The component of force acting horizontally is F'cos$\theta$

Also, we know that the work done is the dot or scalar product of force and the displacement in the direction of the force acting on an object.

Thus

$W_{FH} = \vec{F'}.\vec{d}$

$972 = 310\times dcos23^{\circ}$

d = 3.406 m = 3.4 m