A force F = 20 + 10y acts on a particle in y-direction where F is in newton and y in meter. Work done by this force to move the particle from y = 0 to y = 1 m is :

  1. 30 J
  2. 5 J
  3. 25 J
  4. 20 J

Answer (Detailed Solution Below)

Option 3 : 25 J
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CT 1: Botany (Cell:The Unit of Life)
25 Qs. 100 Marks 20 Mins

Detailed Solution

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CONCEPT:

Work done by the force in the direction of the y-axis is written as;

Here, W is the work done, F is the force, yf is the final position and yi is the initial position.

CALCULATION:

By using work done by the variable force.It 

      -----(1)

Given: yi = 0, yf = 1 m 

 and F = 20 + 10y

Now, On putting this value in equation (1) we have;

⇒ 

⇒ 

Hence, option 3) is the correct answer.

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