Question

Laurie is moving a dresser with a mass of 250 kg. She does 126 J of work with a force if 14 N. How far does she move the dresser?

Answer 1

Answer: 9 m

Explanation:

Work is said to be done when an unbalanced force causes displacement of the body.

Force is the product of mass (m) and acceleration (a).

Work = Force × Displacement

⇒W = F.s = ma.s

It is given that mass of the dresser is, m = 250 kg

work done, W = 126 J

Force acting on the dresser, F = 14 N

we need to find displacement, s

⇒126 J = 14 N × s

⇒ s = 126 J/ 14 N = 9 m

Hence, Laurie is able to move the dresser to about 9 m.

Answer 2

Answer:

9 m

Explanation:

When an object moves or displaces along the direction of the applied force application of force, it is said that work is done.

We know the formula of work:

Work = force x displacement

where force = mass x acceleration

So this formula can be further broken down to :

Work = mass x acceleration x d

Putting in the given values to get:

126 = 14 x d

d = 126/14

d = 9 m

Therefore, the dresser was moved by 9m.