Question

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.​

Answer 1

Answer:

Explanation: Following should be the explaination of the question...

Correct me if somewhere i did wrong..

Answer 2

Given:

Mass of the body, $m=2.0 kg$

velocity of the body at $x=0$ is $u=20 m/s$

To find: kinetic energy of the body at $x=10 m$

The complete question includes a graph of force versus displacement which is attached below.

Formula Used:

From work-energy theorem-

work done = change in kinetic energy

Work done can be obtained from the given graph by calculating the area under the graph.

Kinetic energy, $K=\frac{1}{2}mv^2$

Calculation:

Work done between x=0 and x=10 m can be calculated as follows:

$W=\frac{1}{2}Base\times height (0 to 4m )+length \times breadth(4m to 10 m)\\W=\frac{1}{2}(4\times(-12))+(6\times 10)\\W=60-24=36 J$

Initial kinetic energy:

$K_i=\frac{1}{2}mu^2\\K_i=\frac{1}{2}(2kg)(20)^2=400J$

$W=K_f-K_i\\K_f=W+K_i\\K_f=36+400\\K_f=436J$

Thus, the kinetic energy of the body at x=10 m is 436 J.

Learn more about: Work energy theorem

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