Question

In displacing a body 5m by a force of 50N the work done is 125J. Find out the angle between the directions of force and 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 :-

$= > \: w \: = \: f \times d \times \cos( \alpha )$

=> 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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Hope It Helps You ☺

Answer 2

Answer:

Work done= 125J (W)

Displacement = 5m (S)

Force = 50 N (F)

WE KNOW THAT

W = F × S × Cos Ø

By putting the values, we get

125J = 50 × 5 × Cos Ø

125 ÷ 5 = 50 × Cos Ø

25 = 50 × Cos Ø

25/50 = Cos Ø

1/2 = Cos Ø

THEREFORE, Ø = 60° ( SINCE , Cos 1/2 = 60°)

Hope it helps.........