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2 years ago

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A particle of mass 16kg travelling with a velocity of 10m/s is acted upon by a steady force of friction in a direction opposite

that of its motion. Find the speed of the particle after 10 seconds if the force of friction is 25N.

1 answer:

Rudiy272 years ago

5 0

The speed of the particle after 10 seconds is, 25.88m/s.

To find the answer, we have to know more about the equations of motion.

<h3>How to find the speed of the particle after 10s?</h3>

It is given that,

$m=16kg\\u=10m/s\\t=10s\\f=25N$

It is clear from the question that, the motion is balanced by the frictional force. Thus, the acceleration will be,

$ma=f\\a=\frac{f}{m} =\frac{25}{16}=1.6m/s^2$

We have the equation of motion for the distance travelled as,

$S=ut+\frac{1}{2}at^2=(10*10)+(\frac{1.6*10^2}{2})=178.13m$

Thus, by another equation of motion connecting a, S, and u, we get the final speed after 10s as,

$v=\sqrt{u^2+2aS} =\sqrt{10^2+(2*1.6*178.13)} =25.88m/s$

Thus, we can conclude that, the speed of the particle after 10 seconds is, 25.88m/s.

Learn more about the equations of motion here:

brainly.com/question/24595388

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3 years ago

klemol [59]

its acceleration is zeo

If an object is moving with a constant velocity, then by definition it has zero acceleration. So there is no net force acting on the object. The total work done on the object is thus 0 (that's not to say that there isn't work done by individual forces on the object, but the sum is 0 ).

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3 years ago

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