Question

the graph of force versus displacement is shown in figure a body of mass 2 kg has velocity of 20 metre per second at x = 20 find the kinetic energy of a body at x = 10 m​

Answer 1

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

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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Answer 2

Answer:see the attachment

Explanation: