Two bodies A and B of masses 10 kg and 15 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If T represents the tension in the string when a horizontal force F=500 N is applied to A (as shown in figure 1) and T be the tension when it is applied to B (figure 2), then which of the following is true?

Question

Two bodies A and B of masses 10 kg and 15 kg respectively kept on a smooth, horizontal surface are tied to the ends of a light string. If T represents the tension in the string when a horizontal force F=500 N is applied to A (as shown in figure 1) and T be the tension when it is applied to B (figure 2), then which of the following is true? (A)  T=T=500 N  (B)  T=T=250 N  (C)  T=200 N,T=300 N  (D)  T=300 N,T=200 N

Tardigrade Admin · Accepted Answer

For the first case acceleration a=(F/m1+m2) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/dfa6863f01167201d0754c3bde6df543-.png" /> is same in both the cases as F1=F2 masses of the blocks are same a=20 ms -2 Now for first case the force is applied on block A ∴ T=500-10 × 20=300 N Similarly, for block 2 the force is applied on block B ∴ T'=500-15 × 20=200 N

$T = T = 500 N$

$T = T = 250 N$

$T = 200 N, T = 300 N$

$T = 300 N, T = 200 N$

T=T=500N

T=T=250N

T=200N,T=300N

T=300N,T=200N

For the first case acceleration a=m1​+m2​F​ is same in both the cases as F1​=F2​ masses of the blocks are same a=20ms−2 Now for first case the force is applied on block A ∴T=500−10×20=300N Similarly, for block 2 the force is applied on block B ∴T′=500−15×20=200N

$T = T = 500 N$

$T = T = 250 N$

$T = 200 N, T = 300 N$

$T = 300 N, T = 200 N$