The work done on the ball is equal to 180 Joules.
Given the following data:
Conversion:
1000 grams = 1 kg
400 grams = X kg
Cross-multiplying, we have:
[tex]X=\frac{400}{1000} =0.4 \;kg[/tex]
To calculate the work done on the ball:
First of all, we would determine the velocity of the ball.
Mathematically, momentum is given by the formula;
[tex]Momentum = mass \times velocity\\\\12=0.4 \times velocity\\\\Velocity=\frac{12}{0.4}[/tex]
Velocity = 30 m/s.
Now, we can calculate the work done on the ball:
Note: The work done on the ball is equal to the change in kinetic energy possessed by the ball.
[tex]Work\;done = \Delta K.E\\\\Work\;done =\frac{1}{2} MV^2[/tex]
Substituting the parameters into the formula, we have;
[tex]Work\;done =\frac{1}{2} \times 0.4 \times 30^2\\\\Work\;done =0.2 \times 900[/tex]
Work done = 180 Joules.
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