Question

A force of 200 N displace an object through 10 cm and does10 joule work find the angle between the force and displacement


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Answer 1

Answer:

60°

Explanation:

Given :

Force = 200 N

Displacement = 10 cm or 0.1 m

Work done = 10 J

We have to find angle between the force and displacement :

We have :

W = F s cos Ф

cos Ф = W / F s

cos Ф = 10 / 200 × 0.1

cos Ф = 1 / 2

cos Ф = cos 60

Ф = 60°

Hence , the angle between the force and displacement is 60°

Answer 2

AnswEr :

∠ Between Force & Displacement is 60°.

Explanation :

• Force (F) = 200N
• Displacement (s) = 10cm or, 0.1m
• Work Done (W) = 10J

We Know the Formula of Work Done :

➟ W = F × s × cos Ф

• Plugging the Values

⇒ 10 = 200 × 0.1 × cos Ф

⇒ 10 / (200 × 0.1) = cos Ф

⇒ 10 / 20 = cos Ф

⇒ cos Ф = 1 / 2

• cos 60° = 1 / 2

⇒ cos Ф = cos 60°

Therefore, Angle between Force and Displacement is 60°.