1. A particle is released from a height h at a certain height, Its K.E is two times its potential energy. Height and speed of the particle at that instant are
2. A ball whose K.E is E is projected at an angle of 450 to the horizontal. The K.E of the ball at the heighest point of its flight will be
3. A ball of mass m moving with velocity V collides with an identical ball at rest. After collision, the Ist ball comes to rest. The speed of the other ball is
4. If the momentom of a body increases by 0.01% then its K.E will increases by
5. A rod elongates by l when a body of mass M is suspended from it. The workdone is
6. In a gravitational field, the workdone in transporting mass from one point to another depends on.
7. If water falls from a dam into a turbine wheel 19.6m below. Then velocity of water at turbine is
8. Which of the following is not a perfectly in elastic collision.
9. A car is moving with a speed of 40 km/h can be stopped by applying brakes after at least 2m. If the same car is moving with speed of 80 km/h. Whats the minimum stopping distance.
10. A force (mv2/r) is acting on a body of mass m moving with a velocity V in a circle of radius r. What is workdone by the force in moving the body over half the circumference of the circle
11. Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of static friction between road and tyres is 0.5, the shortest distance in which the car can be stopped is
12. If K.E of a body increases by 0.1%, The percent increase in its momentum will be
13. A ball falls from rest from a height h onto a floor, and rebounds to a height h/4. The coefficient of restitution between the ball and the floor is
14. A mass m1moves with great velocity. It strikes another mass m2 at rest in a head on collision. It comes back along its path with low speed, after collision
15. The principle of conservation of linear momentum can be strictly applied during a collision between two particles provided the time of impact is
16. A ballet of mass a and velocity b is fixed into a large block of mass c. The final velocity of the system is
17. What is the mass of an electron moving with velocity of 0.5 C in terms of electronic rest mass (m0)
18. When the brakes of a car going at 90km/h are locked how much farther will it skid than if the brakes lock at 30km/h?
19. A motor cysle is moving along a straight horizontal road with a speed V0.If the coefficient of friction between the tyres and road is μ.The short distance in which the car can be stopped is
20. A motor of 100HP moves with a uniform peed of 72km/hr. The forward thrust applied by the engine on the car is
21. Two springs have their force constants K1 and K2 both are stretched till their elastic energies are equal. Then ratio of stretching forces F1/F2is equal to
22. What is the shape of the graph between speed and K.E of a body?
23. If two protons are brought near one another, the P.E of the system will
24. The vessel A and B of equal volume and weight are immersed in water to depth h. The vessel A has an oprning at the bottom through which water can enter. If the workdone is imersing A and B are WA and WB respectively then
25. The slope of potential energy versus position graph represent
26. A car drives along straight level frictionless road by an engine delivering constant power.Then velocity is directly proportional to
27. A particle of mass m moving towards the east with speed v collides with another particle of same mass and same speed v moving towards north.If two particles stick to each other, the new particle of mass 2m will have a speed of
28. A ball is dropped from a height h.If the coefficient of restitution be e,then to what height will it rise after jumping twice from the ground?
29. A particle of mass m is moving in a horizontal circle of radius r under the centripetal force=Kr2,where K is a constant.The total energy of the particle is
30. The relation between U(r) and r for a diatomic molecule is given as U(r)=ar12−br6 The energy of dissociation of the molecule is given as
31. Liquid of density p flows along a horizontal pipe of uniform area of cross-section'a' with a velocity 'v' through a right-angled bend.The force which should be applied to the bend to hold it in equilibrium is
32. The vessels P and Q of equal volume and weight are immersed in water to depth h.The vessel P has an opening at the bottom through which water can enter.If the work done in immersing PLQ are WPandWQrespectively,then
33. A machine, which is 75% efficient,uses 12 J of energy in lifting up a ikg mass through a crtain distance.The mass is then allowed to fall through that distance.The velocity at the end of its fall is (in m/s)
34. A particle moves under a force F=cx from x=0 to x=x1.The work done is equal to
35. A metal ball of mass 2 kg moving with a speed of 36 km/hr has a head-on collision with a stationary ball of mass 3kg.If after collision both the balls move together,then the loss in kinetic energy due to collision is
36. Two springs A and B with spring constants,kA=2kB are stretched by applying forces of equal magnitudes at their ends.If the energy stored in A is E,then the energy stored in B is
37. If two balls, each of mass 0.06kg moving in opposite directions with a speed 4 m/s,collide and rebound with same speed,then impulse imparted to each ball due to other is
38. A particle moves along the x-axis from x=x1to x=x2 under the influence of a force given by F=2x.Work done in the progress is
39. The KE acuired by a mass m in travelling a certain distance d1 starting from rest,under the action of a constant force is directly proportional to
40. A body is allowed to fall on the ground from a height h1.If it is to rebound to a height h2,then the coefficient of restitution is
41. A mass m moving horizontally with velocity v0 strikes a pendulum of mass m.If the two masses stick together after the collision, then the maximum height reached by the pendulum is
42. At her maximum height, a girl in a swing is 3m above the ground and at lowest point she is 2m above the ground.What is her maximum velocity?
43. A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration ac=K2rt2where K is a constant.The power delivered to the particle by the forces acting on it is
44. The speed v reached by a car of mass m,driven with constant power P, is given by
45. The earth circles the sun once a year.The work which would have to be done on the earth to bring it to the rest relative to the sun is (ignore the rotation of the earth about its own axis.Given that mass of the earth = 6×1024kg and distance between the sun and the earth is 1.5×108km)
46. A spring is compressed so that its stored energy is 2.4J.It ends are in contact with masses 1g and 48 g placed on a frictionless table.When the spring is released, the heavier mass will acquire a speed of
47. A uniform chain has mass M and length L respectively.It is lying on a smooth horizontal table with half of its length hanging vertically down.The work done in pulling the chain up the table is
48. Two bodies M and N of equal masses are suspended from two separate springs of spring constants k1and k2respectively.If the two bodies oscillate vertically such that their maximum velocities are equal,the ratio of the amplitude of vibration of M to that of N is
49. A ball is thrown vertically upwards with a velocity of 10m/s. It returns to the ground with a velocity of 9m/s. If g=9.8ms2, then the maximum height attained by the ball is nearly
50. A spring iscompressed between two toy carts of masses m1and m2.When the toy carts are released, the spring exerts on each toy cart equal and opposite forces for the same time t.If the coefficients of friction μbetween the ground and the toy carts are equal, then the displacement of the toy carts are in the ratio