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FOUNDATION QUESTIONS EXERCISE, 1 A ship of mass 3 x 10 kg initially at rest is pulled by a, force of 5 x 10 N through a distance of 3 m. Assume, that the resistance due to water is negligible, the speed, , 2 An open knife edge of, 5, , offered, , mass, , 200 g is dropped from, , by, , V, , edge penetrates, , the knife, , on a cardboard. If, , m, , (d) 5 ms, , (C)0.1ms, , (b) 60 ms, , (a) 1.5 ms, , distance 2, , 60, , (b) 25 N, , (d) None of these, , kg is acted upon by a force, F=(-3i + 4j) N. If its initial veiocity at t =0is, V, (6i -12j) m/s. The time at which it will just have, , 3 A body with, , a, , momentum, , (d) 15 s, , (c) 2 s, , (b) 10 s, mass m, , on, , (a), , (b) 2000 dyne, , (c) 20 dyne, , (d), , under the action of, , acquires an acceleration, , a, , None of these, , force F, , =, , 6i -8j+10k,, , of 1 m s . The, , mass, , CBSE, , body must be, , of this, AIPMT 2009, , (d) 10/2 kg, , (c) 20 kg, , (b) 10 kg, , horizontally in air by, 7 A disc of mass 100 g is kept floating, with the same velocity at, firing bu!lets, each of mass 5g, bullets rebound with, the same rate of 10 bullets/s. The, direction, the velocity of, the same speed in opposite, bullet at the time of impact is, , each, , (b) 9.8 cms, , (a) 196 cms, , (d) 980 cms, , (c) 98 cms, 40, , kg, , dog of mass 4 kg, 10 ms'. What is the, of, velocity, , is at rest. A, , in the boat with, , a, , 24 N-s, , (b), , (C) 8 ms, , (b)2ms, , (d) 1 ms, with muzzle, , velocity, , projected, 9 A body of mass 0.25 kg, 100 kg. What is the recoil, mass, of, tank, 100 m/s from a, velocity of the tank?, (d) 0.25 m/s, (c) 0.5 m/s, (b) 25 n/s, (a) 5 m/s, is, , 8, , t(s), (c) 12 N-s, , 20 N-s, , (d) 6 N-s, , 12 Three forces start acting simultaneously, on a, , particle moving, , with, , velocity v., , These forces are represented in, , magnitude and direction by the three, sides of a triangle ABC (as shown). The, , -B, , A, , particle will now move with velocity, , (a) less than v, (b) greater than v, (c) |v| in the direction, , of largest force BC, , (d) v remaining unchanged, 13 You, , are, , plane and, force by pushing against the, , marooned on a frictionless horizontal, , cannot exert any horizontal, , surface. How can you get off, , (a) by jumping, , the surtace, (b) by rolling your body on, or, sneezing or throwing any object, (c) by splitting, an, object in opposite direction, (d) by throwing, with a velocity of, 14 A bullet of mass 10 g moving horizontal, , 400 m/s strikes, , velocity of boat?, , (a) 4 rms, , 6, 3, , (d)mte, , (a) 200 dyne, , mass, , the time interval from 0 to 8, -CBSE AIPMT 2014, , 3, , each of mass 10 g, the, 5 A machine gun fires 10 bullets/s,, then force of recoil is, speed of each bullet is 20 cms,, , 8 A boat of, , over, , Thee, , the block is, , (b)ma, (c)mya+ a?, , (a) 210 kg, , particle, , is, , magnitude of pseudo force, , (a) ma, , of the, , by, , SIS, , moving on a wedge with the, acceleration ag. The wedge is moving with the, acceleration a. The observer is situated on wedge., , 4 A block of, , is indicated, , 11 The force Facting on a particle of, in, the force-time graph shown below. The change, mass m, , velocity along the Y-axis is, (a) never, , (d) mv/3, , (c) mv/2, , (b) 2mvV, , (a) mv, , 5, , mass, , =, , moves, , 60, , into the cardboard, the average resistance, the cardboard to the knife edge is, m, , (a) 7N, (c) 35 N, , 6 A body,, , NEET 2016, , be, , of the ship is, , height, , 10 A rigid ball of mass m strikes a rigid wall at 60° and gets, reflected without loss of speed as shown in the figure, The value of impulse imparted by the wall on the ball will, , a, , wood block of, , suspended by light, , inextensible, , 2 kg which, string of length 5, , mass, , is, m., , As, , to rise a, result, the centre of gravity of the block found, after it, bullet, the, of, vertical distance of 10 cm. The speed, 2016, NEET, be, will, block, emerges of horizontally from the, , (a) 100 m/s, , (b) 80 m/s, , (c) 120 m/s, , (d) 160 m/s

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15 An explosion breaks a rock into three parts in a, , horizontal plane. Two of them go off at right angles to, each other. The first part of mass 1 kg moves with a, speed of 12 ns and the second part of mass 2 kg, moves with 8 ms speed II the third part fies off with, , 4 ms, , speed. then its masS is, (b) 5 kg, , (a) 3 kg, , NEET 2013, , (c) 7 kg, , (d)17 kg, 16 A ift is moving down with acceleration a. A manin the lift, drops a ball inside the lift The acceteration of the ball as, observed by the man in the lift and a man standing, stationary on the ground are respectively, , (b)g-a.g-a (c) g -a.g, , (a) g. g, , acceleration a (where, a < g). How much mass should be, , removed from it, so that its starts moving up with an, 2ma, , (a), , CBSE AIPMT 2014, , b) cma, , ma, , (c), , (d), , g+a, , 9-a, , ma, , when the lift is stationary. 1f the lift moves downwards, , with an acceleration of 5 ms. The reading of the spring, balance would be, (c) 15 N, , (d) 49 N, , 19 A person of mass 60 kg is inside a itt of mass 940 kg, and presses the button on control panel. The lift starts, , If, moving upwards with an acceleration 1.0 m/s., is, cable, the, in, tension, supporting, g10 m/s, the, , CBSE AIPMT 2011, , (a) 9680 N, , (b) 11000N, , (c), , 1200 N, , 4, , =, , on the pulley is nearly, (a) 27 N, , kg and m2, , 2, , =, , kg, , are, , (b) 54 N, (d) None of these, , (c) 2.7 N, , 24 Three blocks of masses m. m2 and mg are placed on a, horizontal frictionless surface. A force of 40 N pulls the, system, then calculate the value of T, if m, = 10 kg., ma = 6 kg, mg = 4 kg., , m2, , m, , 10 kg, , 6, , kg, , 4 kg, , (d) 8600 N, , (d)5N, , (c) 10N, , (b) 20 N, , (a) 40 N, , 25 Three identical blocks of masses m= 2 kg are drawn by, on a, acceleration of 0.6 ms, a force F =10.2N with an, in, the, tension, the, is, what, N), (in, then, frictionless surface,, between the blocks B and C?, , string, , g-a, , hangs his bag on the string and the balance reads 49 N, , (b) 74 N, , m,, , connected to the ends of a string which passes Over a, thrust, massless, frictionless pulley. The total downward, , C, TITTTTTTT7T, , 18 A spring balance is attached to the ceiling of lift. A man, , (a) 24 N, , masses, , (d) a, g, , 17 A balloon with mass m is descending down with an, , acceleration a ?, , 23 Two blocks of, , (b) 7.8 N, , (a) 9.2 N, , B, , A, , F, , 7TTTTTT7TTTTTTTT7, , (d) 9.8 N, , (c)4N, , 26 The mass m is placed on a body of, mass M. There is no friction. The force, Fis applied on M and it moves with, acceleration a. Then, the net force on, , m, , M, , TTtTTTTITITTT, , the top body is, (a) F, , (b) ma, , (c) F-ma, , (d) None of these, , 27 Three blocks A, B and C of masses 4 kg. 2 kg and 1kg., , respectively, are, , in contact on a frictionless surface as, , shown. If a force of 14 N is applied on the 4 kg block,, , then the contact force between A and B is, , 20 The mass of a lift is 2000 kg. When the tension in the, , Supporting, (a) 30 ms, , cable is 28000 N, then its acceleration is, CBSE AIPMT 2009, , downwards, , (c) 4 msdownwards, , (b) 4 ms upwards, (d) 14 ms, , upwards, , 21 The ratio of the weight of a man in a stationary lift and, when it is, , moving, , downwards with uniform acceleration a, , d), , 3, , 22 A block of mass 10 kg is kept on a horizontal surface. A, , shown in figure. For wha, inimum value ot F, the block will be l:tted up?, on, , the block, , (d) 2N, , 28 A spring balance is attached to the ceiling of a lift. A man, , hangs his bag on the spring and the spring reads 49 N,, when the lift is stationary. If the lift moves downward with, , (a) 24 N, , force F is acted, , (c) 18N, , balance will be, , ), g, , (b)8N, , an acceleration of 5 ms, the reading of the spring, , iS 3:2, then the value of a is, , (a, , (a) 6N, , as, , (b) 74 N, , (c) 15 N, , (d) 49 N, , masses m, 2m and 3m are, connected by string as shown in the figure., , 29 Three biocks with, , After an upward force Fis applied on bioch m, the masses move upward at constarnt speed, What is the net force, , on the, , block of mass 2m, , ?, , gis the acceleration due ta graVIy, , NEET 2013, , a) 98 N, (c) 200 N, , b) 49 N, (ct) None of these, , (a) Zero, , c3mg, , (h) 2 mg, d 6 mg

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30 A marble block of mass 2 kg lying on ice when given a, , veiocity of 6 m/s is stopped by friction in 10 s. Then, the, , coeifticient of friction is, (a) 0.01, , (b) 0.02, , (d) 0.06, , (C) 0.03, , 31 A block of mass 4 kg is kept on a rough horizontal, surtace The coefficient of static friction is 0 8. If a force, , 36 A system consists of three masses m, ma and m,, connected by a string passing over a pulley P. The mass, m, hangs freely and ma and ma are on a rough horizontal, table (the coetficient of friction = H)., , The pulley is frictionless and of negligible mass. The, downward acceleration of m, is, (Assume, m, = m2 = mg = m), , of 19 N is applied on the biock parallel to the floor, then, the force of friction between the block and floor is, , m2, , (d) 9.8 N, , (c) 19 N, , (b) 18 N, , (a) 32 N, , CBSE AIPMT 2014, , 32 The upper half of an inclined plane of inclination 6 is, , perfectly smooth while lower half is rough A block, starting from rest at the top of the plane will again come, to rest at the bottom, if the coetficient of friction between, the block and lower half of the plane is given by, NEET 2013, , a)u=-tane, , 2, , (b) =, , tane, , (c), , =, , 2tane, , (d) H =tane, , 33 A block of mass m is in contact with the cart C as shown, CBSE AIPMT 2010, in the figure., , m, (a)9-9u), , (c), , (b)29u, , 9, , 3, , g(1-2u), , (d)g(1-24), 2, , 37 A block A of mass 100 kg rests on another block B of, mass 200 kg and is tied to a wall as shown in the figure., The coefficient of friction between A and B is 0.2 and that, between Band the ground is 0.3. The mirnimum force F, required to move the block B is (take. g = 10 ms ), A, , m, , Wall, B, , F, , TIITTTTTTNTNTTITITITITTTITTTIIIT S, , (a) 900 N, , The coeficient of static friction between the block and, the cart is u. The acceleration o. of the cart that will, , prevent the block from falling satisfies, , (a)a 9, , (b)o.>, , (d)o, , (c)a, , 34 Which one of the following statenents is incorrect?, , (a) Frictional force opposes the relative motion, , (b) 200 N, , (c) 1100N, , (d) 700 N, , 38 A plank with a box on it at one end is gradually raised, about the other end. As the angle of inclination with the, horizontal reaches 30°, the box starts to slip and slides, 4.0 m down the plank in 4.0 s. The coeficients of static, and kinetic friction between the box and the plank will, , CBSE AlPMT 2015, , be, respectively, , NEET 2018, , (b) Limiting value of static friction is directly proportional to, , normal reaction, , (c) Rolling friction is smaller than sliding friction, (d) Coefficient of sliding friction has dimensions of length, , mg, , 35 A block A of mass m, rests on a horizontal table. A light, , connected to it passes over a frictionless pulley at, the edge of table and from its other end another block B, , string, , of mass ma is suspended. The coefficient of kinetic, , friction between the block and the table is Hk. When the, block A is sliding on the table. the tension in the string is, , (a), , ,, , )g, , (T+, , G mm-4:)g, m,+), , (b) , 2 (1+ 4)g, , (m,+R), (d m+H, m,)g, 7, , + m,), , (b) 0.6 and 0.5, (d) 04 arnd 0.3, , (a) 0.6 and 0.6, (c) 0.5 and 0.6, , 39 A block is movirng up an inclined plane of inclination 60", , with velocity of 20 ms, , and stops after 2.00 s. If, , g 10 ms, then the approximate value of coefficient o, friction is, (a) 3, , (b) 3.3, , (c) 0.27, , (d) 0.33