Question

In order to displace a body 5 m by 50 Newton's force, 125 joules of work have to be done. Find the angle between the force and the displacement.​

Answer 1

Heya......!!!!

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Given in the question :-

• Work Done = 125 J

• Force required = 50 N

• Displacement = 5 m

We have to take out angle between force and displacement .

We know that Work done ( w ) is equal to :-

$= > \: w \: = \: f \times d \times \cos( \alpha ) \\ = >w=f×d×cos(α) </p><p>$

=> 125 = 50 × 5 × cos(α)

=> Here α is the angle .

=> 125 = 250 × cos(α)

=> cos(α) = 125 / 250

=> cos(α) = 1 / 2

=> α = 60°

➡ Angle between direction of force and displacement is ' 60° ' .

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Answer 2

Answer :

• Angle between Force and displacement = 60°

Given :

• Displacement of body, s = 5 m
• Force applied, F = 50 N
• Work done, W = 125 J

To find :

• Angle between Force and displacement, θ = ?

Formula required :

• Work done is given by the scalar product of Force and displacement vector

     W = F s  cos θ

[ where W is the work done, F is the force applied, s is the displacement and θ is the angle between Force and displacement vector ]

Solution :

Using formula

→ W = F s  cos θ

→ 125 = ( 50 ) ( 5 ) cos θ

→ 125 = 250 cos θ

→ cos θ = 125 / 250

→ cos θ = 1 / 2

also, cos 60° = 1 / 2, therefore,

→ θ = 60°

Hence,

• Angle between Force and displacement will be 60° .