A graph of the net force F exerted on an object as a function of x position is shown for the object of mass M as it travels a ho

Question

2 years ago

8

rizontal distance 3d . Which expression represents the change in the kinetic energy of the object?

1 answer:

saul85 [17] · Answer 1 · 2023-12-01T18:55:32+03:00

The change in kinetic energy is $\Delta K = 3Fd$

Explanation:

According to the work-energy theorem, the work done on an object is equal to the change in kinetic energy of the object. Mathematically:

$W=K_f -K_i= \Delta K$

where :

W is the work done on the object

$K_f$ is the final kinetic energy of the object

$K_i$ is the initial kinetic energy

Also, the work done on an object is (assuming that the force is applied parallel to the motion of the object):

$W=F\Delta x$

where

F is the magnitude of the force

$\Delta x$ is the displacement of the object

In this problem, the force acting on the object is

F

While the displacement is the horizontal distance travelled, so

$\Delta x = 3d$

Therefore, the work done is

$W=(F)(3d)=3Fd$

And so the change in kinetic energy is

$\Delta K = 3Fd$

Learn more about work and kinetic energy:

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