Two blocks A and B each of mass $\frac{1}{2}$ kg is connected by a massless inextensible string and kept on horizontal surface. Coefficient of friction between block and surface is shown in figure. A force $F = kt$ (where k = 1 N/s and t is time in second) applied on A. Then (g = 10 m/s²)

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

work done by tension on B is also zero in time interval t = 0 to t = 3s.

work done by friction force on block A is zero in time interval t = 0 to t = 3s.

speed of blocks at t = 10s is 27.5 m/s.

work done by friction force on block B is zero in time interval t = 0 to t = 3s.

answer is A, B, C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

By applying the condition of impending state of motion on A and on B we get

$k t = μ_{S} m_{A} g + T . . . . . . . . . . . . (1) T = μ_{S} m_{B} g . . . . . . . . . . . . . . . . . . . . . (2) B y s o l v i n g b o t h \Rightarrow 1 \times t = 0.4 \times \frac{1}{2} \times 10 + 1 \Rightarrow t = 3 s e c$

So neither A or B will move upto 3 sec

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!