Question

Let two bodies be with masses 2kg and 5kg respectively. Let these bodies be at rest with the same force acting on them. Calculate the ratio of times that is required by both the bodies to reach the final velocity.



(a) 2:5

(b) 25:4

(c) 5:3

(d) 4:25


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Answer 1

Answer:

D.4:25 is your answer ok

Answer 2

The ratio of time taken by the two bodies to attain final velocities is 2:5.

Step-by-step procedure

Given:

Mass of body 1; M1= 2 kg

Mass of body 2; M2= 5kg

To find= ratio of time it tales to attain final velocity

Calculations:

Using the formula of impulse,

impulse= MΔv

F x t= m(v2-v1)

For object 1:

Fx t1= m1(v2)            (v1=0)-------1

For body 2:

F x t2= m2(v2)          (v1= 0)-----2

Dividing equation1 by equation 2:

Ft1/ Ft2 = m1v2/m2v2

t1/t2= m1/m2

t1/t2= 2/5

Thus, the ratio of time taken by the two bodies to attain final velocities is 2:5.

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