Please answer all questions from 1 to 12

4. Work-Power-Energy 7. A body of mass m, accelerates uniformly from rest to v, in time t,, The instantaneous power delivered to the body as a function of time t is 1. Consider the following two statements. (2003) (2004) A) Linear momentum of a system of particles mv't mvft 4) mv t is zero. 1) 2) 3) B) Kinetic energy of system of particles is A bullet fired into a fixed target loses half of its velocity after penetrating 3 em. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion ? zero. 8. 1) A does not imply B and B does not imply A. 2) A implies B but B does not imply A 3) A does not imply B but B implies A' 4) A implies B and B implies A, (2005) 1) 3.0 cm 2) 2.0 cm 3) 1.5 cm 4) 1.0 cm 2. A spring of spring constant 5 x 10'N/m is A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then elimbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is 9. stretched initially by 5cem from the unstretched position. Then the work required to stretch is further by another 5 cm is (2003) D 12.50 N-m 2) 18.75 N-m 2) 25.00 N-m 4) 6.25 N-m (2005) A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time t is 3. 1) 40 m/s 2) 20 m/s 3) 10 m/s 4) 10 30 m/s 10. The block of mass M moving on the frictionless horizontal surface collides with a spring of spring constant K and compresses it by length L. The maximum momentunm of the block after collision is proportional to (2003) 1) te 2) t 3) t 4) ta N M An automobile travelling with speed of 60 km/h, can brake to stop within a distance of 20 cm. If the car is going twice as fast, i.e 4. (2005) 120 km/h, the stopping distance will be (2004) 1) 20 m 2) 40 m ML? 4) K. 3) 60 m 4) 80 m KL 1) MKL 2) 2M 3) zero 5. A uniform chain of length 2 m is kept on a table such that a length of 60 em hangs freely from the edge of the table. The total mass of 11. A body of mass m is accelerated uniformly from rest to a speed v in a time T. The instantaneous power delivered to the body as a function time is given by the chain is 4 kg. What is the work done in (2005) pulling the entire chain on the table? (2004) mv 2) mv 1) 7.2 J 2) 3.6 J 1) 3) 120 J 4) 1200 J I mv 32 T I mv 4) 2 T A force F (si+ 3}+ 2k)N is applied over a particle which displaces it from its origin to the point f (2i-)m. The work done on the particle in joules is 6. 12. Consider a car moving on a straight road with a speed of 100 m/s. The distance at which car can be stopped is [p = 0.5] (2004) (2005) D-7 2) +7 3) +10 4) +13 1) 800 m 2) 1000 m 3) 100 m 4) 400 m