Which is the correct statement regarding the work and impulse required to move a

Question

Which is the correct statement regarding the work and impulse required to move a box on the floor i) from 2v to 3v; and ii) from 3v to 4v?

D. ) Case i requires more impulse, but i and ii require the same amount of work;

E. ) Case i requires less impulse, but i and ii require the same amount of work;

A. ) The two cases require the same amount of work and impulse; B.) Case i requires more work, but i and ii require the same amount of impulse; C.) Case i requires less work, but i and ii require the same amount of impulse;

D. ) Case i requires more impulse, but i and ii require the same amount of work;

E. ) Case i requires less impulse, but i and ii require the same amount of work;

Explanation / Answer

here,

work done = change in kinetic eneegy

for 1

change in energy = 0.5 * m * ( (3v)^2 - (2v)^2) = 2.5 * m * v^2

Impulse = m * ( 3v- 2 v) = m v

for 2

change in energy = 0.5 * m * ( (4v)^2 - (3v)^2) = 3.5 * m * v^2

Impulse = m * ( 4v - 3 v) = m v

so,

correct option is C.) Case i requires less work, but i and ii require the same amount of impulse;

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