Question

How much work is done by a force of 80 N in moving an object through a distance of 5 m in the direction of the force?

Answer 1

Given :

• Force on object (F) = 80N
• Object is moving through a distance (d) = 5cm

To Find :

• Work done by force (W)

Formula Used :

$\bullet\underline{\boxed{\sf W = F.ds}}$

Solution :

Whenever a force on a body displaces it in its direction , work is said to be done by the force.

$\implies{\sf W = 80 \times 5 }$

$\implies{\bf W = 400\: J }$

Answer :

Work done by force is 400J

➞ Extra Info. -

$\bullet$ Work done is scalar quantity

$\bullet$ If the direction and magnitude nof a force applied on a body is constant, the force is said to be constant

Work done by constant force W,

W = Force × Component of displacement along force

The work done will be , W = Fdcos∅

In vector form ${\bf W = \overrightarrow{F}.\overrightarrow{d}}$

Answer 2

Hey there !

W = F.dcos∅

where ∅ is the angle between force and the displacement

in the given question force and displacement are in the same direction , so

∅ = O

w = 8O.5 cos0° = 400J ( since cos0° = 1)