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FOUNDATION QUESTIONS EXERCISE, 1 A bicyclist comes to, the force, , process,, , 200 N and is, done by the, , skidding stop in 10 m. During this, , a, , the, , on, , bicycle due to the road is, directly opposed to the motion. The work, , cycle, , the road is, (b)-200 J, (c) Zero, , (a) +2000J, , on, , (d)-20000J, , 2 A force F acting on an object varies with distance x as, shown here. The force is in newton and x is in metre. The, work done by the force in moving the, fromX, , object, , X = 6m isS, , =, , 0 to, , F (N), 3t, , 8 Velocity-time graph of, particle of mass 2 kg, moving in a straightline is, as shown in figure. Work, done by all the forces on, the particle is, (a) 400 J, , (C)-200J, , v (m/s), , 20, , 2, , (d) 200J, , 9 A ball of mass 2 kg and another of mass 4 kg are, dropped together from a 60 ft tall building. After a fall of, 30 ft each towards the earth, their respective kinetic, energies will be in the ratio of, , (a) 4.5 J, , 2, , 3, , 4, , (b)13.5 J, , 5, , 6, , 10 The momentum of a body is increased by 20%. The, percentage increase in kinetic energy is, , x (m), , 7, , (d) 18.0 J, , 3 A particle moves from a point (-2i+5j)to (4j+3k), when a force of (4i +3 j) Nis applied. How much work, NEET 2016, has been done by the force?, (a) 8 J, , 4 Force Fon a particle moving in, , (a) 21 J, (c) 13 J, , (a) x/2, (c) x2, , 12 d(m), , 3, , particle of mass, uniform force of (3i + j), from position, 2kg. Hence, the particle is displacedThe work done by, +, -k) m., N acts, , A, , +k) m to, , on a, , 3j, , position (4i, , NEET 2013, , the force on the particle is, , (a) 9 J, , (b) 6J, moves, , from, along the X-axis, , influence of a, , process, , acting, , on a, , particle, , (b) x, (a)x/3, , =, , 0 to, , =7, , -, , X, , 7 T, , of, , a, , =, , 5, , e potential energy, done, (a) t the system against a, , a, , the system, , by a, , 10, , shown in the figure. The work, , X = - 2 m to x, (a) -, , 10J, , x(m), , = 0 is, , (b) + 5 J, , --, , ----., , if work is, , CBSE AIPMT 201 11, , conservative, , force, , non-conservative, , force, , -10, , (d)+40J, , 14 A particle is moved from, , P(a, a), , two paths. Path 1 is OP, , increases,, , *******, , done by this force in, displacing the particle from, , (0,0)to(a, a) undera, force F (3i + 4j)from, , system against, force, conservative, the system by a n o n - c o n s e r v a t i v e force, , the, , F(N), , m, , 2x +3x., , Is, , system, , 13 A force F acting on a particle, varies with the position x as, , (c)- 20 J, , (b) 270 J, (d) 135 J, , (c) 35 J, , pon, , x, , force given by F, , (a) 70 J, , pon, , (d) 15 J, , (c) 13 J, , he work done in the, , y, , force, , particle varies with the displacement x as, , (b) 26 J, (d) 18 J, , under the, , The power supplied by a, , CBSE AIPMT 2011, , of 12 mis, , particle, , (d)mv,2, , (b), , moving in a straight line is constant. The velocity of the, , particle during its displacement, , A, , (a)m, 12, , F (N), , a straightline varies with, distance d as shown in the, figure. The work done on the, , (21, , 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 of time is, given by, , (d) 2J, , (c) 5 J, , (b) 11 J, , (d) 50%, , (c) 100%, , (b) 44%, , (a) 54%, , (c) 9.0 J, , (d) 1: 2, , (c) 1:2, , (a)2:1 (b) 1:4, 1, , t(s), , (b) -400 J, , and path 2 is OQP. Let, W and W, be the work, done by this force in, , these two, , 45, , paths. Then,, , (a) W W, =, , (c)W = 2W, , (b) W = 2W, , (d) W, = 4W

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15 An engine pumps water continuously through a hose., Water leaves the hose with a velocity v and m is the mass, per unit length ot the water jet. What is the rate at which, , Kinetic energy is imparted to water?, , (a)m, , 17 The, , U, , potential energy of, A, , Takingg, , a, , particle in, , a, , paticle, , the distance of, , r, , is, , particle is, CBSE AIPMT 2012, , (b) 2A/B, , (a) 8/2A, , (d) B/A, , (c) A/B, , is stretched, , 10, , Nm, spring of spring, unstretched position. Then, the, the, from, cm, 5, by, initially, work required to stretch it further by another 5 cm is, (a) 12.50 N-m (b) 18.75 N-m (c) 25.00 N-m (d) 6.25 N-m, constant 5, , 18 A, , x, , 20 m to 30, , =, , m., , CBSE AIPMT 2015, (d) 250 JJ, , (c) 275 J, , mass, , the earth's surface. Its, , on, , reduced, , speed, , when its, , tois (given mass of the earth, , is, , 6x102kg), , from the centre of the field. For, , stable equilibrium, the distance of the, , x, , kg. It is situated at a height h(< <R,)from, , height has, , force field is, , where A and B are positive constants and, , (b) 450 J, , where it falls, , (d) 1000 J, , B, , its travel from, , Its final KE will be, , 3 x10, , =10 ms, work, , (C) zero, , (b) 100 J, , (a) 200 J, , m., , forceF=0.1x J/m during, , has, 24 A small block of super dense material, , 16 300 J of work is done in sliding a 2 kg block up ann, , inclined plane of height 10, done against friction is, , Constant, , (a) 475 J, , (a)m, 2, , (c)m, , (b) m, , with a, kg, moving in x-direction, to a retarding, speed of 10 ms , is subjected, , 23 A block of mass 10, , 19 Two similar springs Pand Q have spring constants kp, and Ko. such that kp >ko. They are stretched, first by the, , 2gh, , ()gh, , 25 A block of, vertical, , (d) gh, , (C) zero, , Mis attached to the lower end of a, The spring is hung from a ceiling and has, , mass, , spring., , rest, force constant value k. The mass is released from, maximum, The, unstretched., initially, with the, , spring, , extension, , produced in the length of the spring will be, CBSE AIPMT 2009, , (a) Mg/k, , (b) 2 Mglk, , 26 The block of mass M, , (c) 4 Mglk, , (d) Mg2, , M, , moving on the frictionless, horizontal surface collides, , same amount (case a), then by the same force (case b)., , with the spring of spring, , The work done by the springs Wp and Wo are related as,, , constantk and compresses it by length L. The maximum, , in case (a) and case (b), respectively, , CBSE AIPMT 2015, , (a) We =Woi W > Wo, , (b) Wp = WG: Wp, , (c)W> Wo: Wo > We, , (d) Wp < WG: W% < Wp, , Wo, , (a) MkL, , 20. When a bullet of mass 10g and speed 100 ms, , The resistance offered by human body is, (c) 5000 N, , (b)1500 N, , (d) 1000 N, , 21 A block is left on a frictionless curve path that connects, , path. At the end of the horizontal path, spring connected. Find the work one by, , to a horizontal, , there is, , a, , spring. when the block compress it completely., m, , 0, , (a), , (b)-mgh, , h, , 22 Consider, , (c) mgh, , (d) m k, , h, , of rain water having mass 1g falling, from a height of 1 km. It hits the ground with a speed of, a, , drop, , 50 m/s. Take g constant with a value of 10 m/s, The work, done by the (i) gravitational force and the (i) resistive, force of air is, , NEET 2017, , (a) (i) -10J,, , (i) -8.25 J, , (b) (i) 1.25 J., , (c) (i) 100J,, , (i) 8.75 J, , (d) (i) 10 J,, , (ii), , (c) zero, , (a) ML, , 2M, , 20 ms. It momentarily comes to rest after attaining a, , height of 18 m. How much energy is lost due to air, CBSE AIPMT 2009, , friction? (Take, g =10 ms), , (a) 20 J, , 8.25 J, , ()8.75 J, , (6) 30 J, , (C) 40 J, , (d) 10J, , 28 The string of a pendulum is horizontal. The mass of bob, attached to it is m. Now, the string is released. The, tension in the string in the lowest position is, , (a) mg, h, , GO000, , (b)KL, , 27 A body of mass 1 kg is thrown upwards with a velocity, , penetrates up to distance 1 cm in a human body in rest., , (a) 2000 N, , momentum of the block after collision is, , (b) 2mg, , (c) 3mg, , (d) 4mg, , 29 A stone is tied to a string of length land is whirled in a, vertical circle with the other end of the string as the, centre. At a certain instant of time, the stone is at its, lowest position and has a speed u. The magnitude of the, change in velocity as it reaches a position where the, string is horizontal (g being acceleration due to gravity) is, , (a)y2u-g) (b) yu -g(c) v- yu-2g1 (d)2gl, 30 A heavy stone, , hanging from a massless string of length, 15 m is protected hor izontally with speed 147 m/s. The, , speed of the particle at the point where tension in the, , string equals the weight of the particle is, (a) 10 m/s, (c) 12 m/s, , (b) 7 m/s, (d) None of these

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38 Three objects A, B and C are kept, , 31 A stone of mass 1 kg is tied of a string 4m long and is, , rotated at constant speed of 40 m/s in a vertical circle., The ratio of the tension at the top and the bottom is, (Take, g =10 m/s), (a)11: 12, , (b)39:41, , (c)41 39, , in a straight line on a frictionless, , respectively. The object A moves, towards B with a speed 9 m/s and makes an elastic, collision with it. Thereafter, B makes completely inelastic, masses, , (d)12:11, , when the engine is working at 8 x10 w. The resistance, to motion of train is, (b) 200 N, , (c) 600 N, , (d) 800 N, , 33 A particle of mass m is driven by a machine that delivers, a constant power k watts. If the particle starts from rest, the force on the particle at time t is, CBSE APMT 2015, (a), , MK+-1/2, , (b)mkt2, , ()mkr, , (c) 2mkt-1/2, , a, , 100 kg m. What is the power of the engine?, CBSE AIPMT 2010, (d) 800 Wv, , (c) 100 W, , (b) 200 W, , (a) 400 W, , line. Find the final speed, , velocities, , (a) mu, , final, after absorbing energy E. If, have, must, we, then, be v and v2,, CBSE AIPMT 2015, , higher level,, , excited to, , of particles, , mauz, , +, , (b)mu, , -, , E, , =, , mfv,, , +, , máv2, , 1. their KE may be equal, 2., , a continuous, , and B having, 36 Two identical balls A, , (a), , m/s, -0.5 m/s and 0.3, and 0.5 m/s, , c)-0.3 m/s, , (b), (d), , velocities of 0.5, , m/s, , 2, , kg, , part of, off with 4 ms, part flies, speed. If the third, mass, , mass is, , (a) 3 kg, (c) 7 kg, , (b) 5 kg, (d) 17 kg, , original, , direction while B, , 3., , they will, , 4., , a comes, , move, , mutually perpendicular directions, and B starts moving in the direction of, , in, , to rest, ihe original motion of A, , (b) 2,3, , (d) 1,2,3, , (c) 1, 2, , in xy-plane at rest. It, Two pieces each of, suddenly explodes into three pieces., to each other with equal, mass m move perpendicular, due to, speeds . The total kinetic energy generated, , 40 A body of, , mass, , (4m) is lying, , CBSE AIPMT 2014, , explosion is, , (b)m, 2, , (d) 4mv, , (c) 2m, , 41 For inelastic collision between two spherical, , rigid, , bodies, , kinetic energy is conserved, the total mechanical energy is not conserved, the linear momentum is not conserved, the linear momentum is conserved, , (a) the total, , (b), (c), (d), 42 A moving neutron collides with a stationary a-particle., (b) 9/25, , by the, , neutron is, , (d) 2/5, , (c) 3/5, , (a) 1/2, , (b), , 1, , (c) 1/3, , (d) 1/4, , 44 A ball is thrown vertically downwards from a height of, 20m with an initial velocity Vo. It collides with the ground,, loses 50% of its energy in cllision and rebounds to the, same height. The initial velocity Vo is (Take, g = 10 m s ), , CBSE AIPMT 2015, , 0.5 m/s and -0.3 m/s, 0.3 m/s and 0.5 m/s, , mns, , second, , in the, , mass m moving at a velocity v collides with, another block of mass 2m at rest. The lighter block comes, to rest after collision. Find the coefficient of restitution., , a horizontal, into three parts in, breaks a rock, other., J7 An explosion, angles to each, them go off at right, of, Two, plane., a speed of 12, m o v e s with, m a s s 1kg, The first part of, m o v e s with 8, , and the, , move, , 43 A block of, , in one, collide elastically, and 0 . 3 m/s respectively,, collision, the, of B and A after, dimension. The velocities, NEET 2016, respectively will be, , to, , remains at rest, , (a) 16/26, , )mu mu -E -mv+mav, (d)mu+m+E =mi, mv, 2, 2, , (d) 1 m/s, , (c)5 m/s, , The fraction of the kinetic energy lost, , m mv+mv-F, , object C., , same, then after the collision, , (a) mv?, , particles get, , of the, , 39 A particle A suffers on oblique elastic collision with a, particle B, i.e. at rest initially. If their masses are the, , with initial, , move, 35 Two particles of masses m, and m2, of the, one, collision,, velocities u and ug. On, , (in m/s), , (b) 4 m/s, , (a) 3 m/s, , (a) 1,3, , hose pipe. Water, it with a velocity of, passes through the pipe and leaves, in the pipe is, water, of, unit, length, 2ms. The mass per, , 34 An engine pumps water through, , m, 2m and m,, , collision with C. All motions occur on the same straight, , tothe horizontal, 50, , (a) 400 N, , L, , C, , B, , A, , horizontal surface. These have, , 32 A train of mass 2x10° kg has a constant speed of, , 20 m/s up a hill inclined at 6 - sin", , m, , m2m, , ms, , speed, then its, NEET 2013, , (a) 14 ms1, , (b) 20 ms, , (C) 28 ms, , (d) 10ms, , 45 A bullet of mass m moving with velocity v strikes a block, of mass Mat rest and gets embedded into it. The, kinetic, energy of the composite block will be, , (a)mv x, , m, , (m+ M), (c)mx M+m), 2, , M, , (b)mv, , X, , M, , m+M), , (d)Mv2x m, (m+ M)