JEE Advance - Physics (1978)

• 1

  A horizontal uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one end by force F. What is the tension in the rope at a distance $$l$$ from the end where the force is applied?

  Svar

  (C)

  $$T = F \left(1 - \frac{l}{L}\right)$$
• 2

  A car accelerates from rest at a constant rate $$\alpha $$ for some time after which it decelerates at a constant rate $$\beta $$ to come to rest. If the total time lapse is t seconds, evaluate.

  (i) maximum velocity reached, and

  (ii) the total distance travelled.

  Svar

  (A)

  Maximum velocity: $$\frac{\alpha \beta}{\alpha + \beta}t$$, Total distance: $$\frac{1}{2} \frac{\alpha \beta}{\alpha + \beta} t^2$$