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a body of mass 7.5kg is moving with the velocity of 1.2, if a force of 15newton is applied to the body calculate its velocity after 2 seconds


Sagot :

The velocity is 5.2 m/s


Force as per the Newton's second law of motion is defined as, for constant mass, mass times the acceleration

F= m x a

where m is the mass of the body in kilograms and a is the acceleration is m/s^2

Now we know that acceleration is nothing but rate of change of velocity

i.e. a= (v -u)/t

where v is the final velocity

u is the initial velocity

and t is the time frame in which change takes place

Now the data given to us is as follows:

Force F= 15 Newton

initial velocity u =1.2 m/s

t= 2 seconds

We are required to find the final velocity v

Now putting the values in the equation,

F= m (v-u)/t

15 = 7.5 (v-1.2)/2

30= 7.5v -9

7.5v=39

v=39/7.5= 5.2 m/s

Hence the velocity is 5.2m/s

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