Find the time taken by a body of mass 16 kg to come to rest from a uniform velocity of magnitude 10 m/s, when a force of 4N is applied continouslya)20 sb)30 sc)40 sd)50 sCorrect answer is option 'C'. Can you explain this answer?

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Find the time taken by a body of mass 16 kg to come to rest from a uniform velocity of magnitude 10 m/s, when a force of 4N is applied continously

a)
20 s
b)
30 s
c)
40 s
d)
50 s

Correct answer is option 'C'. Can you explain this answer?

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Most Upvoted Answer

Find the time taken by a body of mass 16 kg to come to rest from a uni...

To find the time taken for the body to come to rest, we can use the formula derived from Newton's second law:

F=ma

where:

F is the force applied,

m is the mass of the body,

a is the acceleration.

First, we calculate the acceleration:

The body is initially moving with a velocity of 10 m/s and will come to rest, so the final velocity v=0v = 0v=0.

Using the equation of motion:

v=u+at

where:

v is the final velocity (0 m/s),

u is the initial velocity (10 m/s),

a is the acceleration (-0.25 m/s²) (negative because the force is acting opposite to the direction of motion),

t is the time taken.

Substitute the values:

0=10+(−0.25)t

0.25t=10

So, the time taken by the body to come to rest is 40 seconds.

Answer: 3 (40 s)

Answered by Dr Manju Sen · View profile

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Find the time taken by a body of mass 16 kg to come to rest from a uni...

Since, Force = 4N M x A = 4N (f=ma) 16kg x A = 4N. (m = 16kg) [ A = -1/4 m/s² ] Now, From 1st eq. of motion v = u+at 0 = 10 + (-1/4)t t = -4 x -10 [ t = 40 sec] Hence Answer. ~Akshansh Thakur

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