Question

25
21. The graph of force versus displacement is shown
in figure. A body of mass 2 kg has a velocity of 20
m/s at x = 0. Find the kinetic energy of body at x =
10 m.
F(N)
10 NI
10
x (m)
-12
NN
(1) 436 J
(3) 484 J
(2) 460 J
(4) 282 J​

Answer 1

Explanation:

Work done = change in Kinetic Energy

Work done is area under the curve

Area = ( 1 x -12 x 4) + (6 x 10)

2

= -24 + 60

= 36J

No Graph available for other question

Answer 2

the kinetic energy of a body at x = 10 m​ is 436 J

Therefore, Option (1) is correct.

Explanation:

The area under the force-displacement curve will give the work done

Therefore,

The Work done

= Area of the Traingle + Area of the rectangle

$=\frac{1}{2}\times 4\times (-12)+(10-6)\times 10$

$=-24+60$

$=36 J$

This work done will be equal to the change in Kinetic Energy

Initial Velocity $v_i=20 m/s$

Initial Kinetic Energy

$K_i=\frac{1}{2}\times 2\times 20^2$

or, $K_i=400$

If the final Kinetic Energy is $K_f$

Then,

$K_f-K_i=36$

$\implies K_f=36+K_i$

$\implies K_f=36+400$

$\implies K_f=436$ J

Hope this answer is helpful.

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