Kinematics Questions and Answers

A man walks 4m towards north then 3m towards east and there he climbs a pole of 12m height The total displacement and distance covered by a man are A 13m and 19m C 3m and 9m B 19m and 13m D 9m and 3m

1 A particle is projected upward with an initial speed u making an angle 0 with the horizontal The radius of curvature of the curve at the instant when the particle strikes the ground is A cos B C D Sol gcose

The equations of three waves are given by y Ao sin kx wt Y2 3 2A0 sin kx wt p and 4A cos kx wt Theses waves Y3 are in the same direction and are superimposed The phase difference between the resultant wave and the first then what is T wave is and the value of n n Corroot orroot Angwor

A point moves with uniform acceleration and its initial speed and final speed are 1 m s and 2 m s respectively then the space average of velocity over the distance moved is B C 4 m s 9 m s m s None of these

wa A ball moving with a velocity v hits a massive moving towards the ball with a velocity u An elastic impact lasts for time At Consider the following statements a The average elastic force acting on the ball is m u v At b The average elastic force acting on the ball is 2m u v At c The kinetic energy of the ball increases by 2mu u v d The kinetic energy of the ball remains the same after the collision Correct statements are 1 a d 2 b c 3 a c 4 b d

Zero Marks 0 In all other cases an insect starts from 2 3 4 and travels along 1 2 21 2k with 15 m s for 2 sec Then it reverses it direction and travels with 3 m s for 5 sec If final position of the insect is x y z then find the value of x y a

A particle is thrown vertically upwards with a speed of 10 m s from top of a tower of height 20 m One second after the projection wind starts blowing horizontally and imparts a constant horizontal acceleration 10 m s2 along with gravity to the particle The distance from the foot of the tower where the particle strikes the ground is g 10 m s 10 m 25 m 20 m 15 m

An indoor running track is to be constructed with a space for exercise equipment inside the track see figure The track must be at least 125 meters long and the exercise space must have an area of at least 500 square meters a Find a system of inequalities describing the requirements of the facility

A particle is moving in the X Yplane Its position as a function of time is given by 7 cos 3t i 2sin 31 j Let t to be the first instant after t 0 when the force acting on the particle is perpendicular to its velocity The distance of the particle from the origin at t to is Answer Enter your answer here

A particle starts from rest and moves along a straight line with uniform acceleration If s is the distance travelled in n seconds and S is the distance travelled in the nth second then n Sn 2n 1

Two second after projection a projectile is travelling in a direction inclined at 30 with horizontal after one more second it is travelling horizontally Angle of projection in degree with horizontal divided by 10 is

For a vibration magnetometer the time period o freely suspended bar magnet can be increased by A B C D Moving it from south pole to equator Moving it from north pole to equator Moving it from equator to pole None of these

Low cylinder A has pump 61 In piston whereas B and C cylinders have lift pistons If the maximum weight that can be placed on the pump piston is 50 kgwt what is the maximum weight that can be lifted by the piston in the cylinder B Find the total mechanical advantage Take g 10 m s2 m 1500 kg 00 r 5 cm W m r 0 25 m 000 57

A uniform rod AB of mass m and length is hung in horizontal position by two identical inextensible strings as shown The string attached at A is cut Immediately afterwards C www 0 A mg cose 3 cos 0 1 2mg cose 3 cos 0 1 The tension in the string BD is 3mg 3 cos 0 1 0 4 mg 3 cos 0 1 B D Read Less

Which graph best represents the variation of radius r of a circular orbit of a satellite against its time period 2 3 y 1 2 2 4 4

A lift is going up The total mass of the lift and the passenger is 1500 kg The variation in the speed of the lift is as given in the graph The height in m to which the lift takes the passenger is speed in m sec 3 6 10 12 t s

A car moving with speed v on a straight track can be stopped in a distance x by applying brakes If same car is moving with speed 2v and brakes provide half the retardation then car will stop after travelling distance A B C 8 4 2 X 8

Find the minimum kinetic energy in joule with which a particle of mass 2kg should be projecte from ground so that it crosses a cylindrical drum placed on ground of radius 1 meter and fall the other side following a parabolic path Take g 10 m s and 2 1 414

5 Three blocks of masses m 3m and 2m resting on a frictionless horizontal surface are connected to identical ideal springs as shown above A force o magnitude F directed to the left is then applied to the left end of spring A Which spring is stretched the most when the blocks are all moving with the same acceleration A A B B C C D None because the springs do not stretch E None because the springs all stretch the same amount

01 A body slides down a smooth inclined plane of base x metres The angle of the plane so that the time taken by the body to reach the bottom of the plane will be minimum is 1 30 2 60

A car moving along a straight road with speed 144 km h is brought to a stop by applying brakes within a distance of 200 m Assuming that the car experiences a uniform retardation the time taken for the car to stop after the brakes are applied is 2 10 s 1 5 s 3 15 s 4 20 s 1445 72 18

44 When a body rolls without sliding up an inclined plane the frictional force is a b Directed down the plane zero C Directed up the plane d Dependent on its velocity Explanation

Q6 the figure shown of and A 5 10 3 1 5 3 10 N B 5 10 3 5 3 10 N C 5 10 3 5 3 10 N D 5 10 3 i 5 3 10 N and B Pone 11 Aa and Aa are respectively A 0 a de 20N then the resultant of OA and OB in trem Figure shows two vectors OR and OB in xy plane OA OB 5 units resultant of A OA and OB is A B a de 0 Dhora B B 30 C 0 0 C 3i j D i 3 Q7 If a vector p making angles a B and y with the X Y and Z axes respectively then sina sin sin y A 0 120 60 B 2 C 1 D 3 A vector is turned without a change in its length through a small angle de The value of X D None of these

A body thrown vertically upward remains in air for 2 seconds Another body is thrown vertically upward double the velocity How long does it stay in air 1 4 s 2 8 s 3 16 s 4 32 s

1 A long plank P is placed on a horizontal frictionless surface and connected to two springs of spring constant k and 2k respectively A cylinder of mass m is placed on the plank The plank is displaced towards right positive direction and released at t 0 and it oscillates with amplitude A The cylinder does not slip on the plank during the oscillation m A 2k mmmm 2m k mmmmm The maximum friction force acting on the cylinder during the oscillation is 2kA 3kA 2kA A 3 KA B C D 3 7 7 The friction force acting on the cylinder as a function of time is shown as Take the right side as positive NAAA D

A uniform rod AB of mass m and length l is suspended by two massless and inextensible string AC and BD whose ends C and D are fixed as shown Find the tension in the string BD immediately after the string at A is cut C C 37 17 A mg 32 18 75 mg A B B D 37 15 32 18 35 mg mg

3 A mass m 8 kg is attached to a spring as shown in figure and held in position so that the spring remains unstretched The spring constant is 200 N m The mass m is then released and begins to undergo small oscillations The maximum velocity of the mass will be g 10 m s a 1 m s 00000 777777 h 2 m s 77777 m c 4 m s d 5

Ram has been caught red handed doing notorious activities and is punished to run back and forth in a 20m long corridor from room number 109 to the other end Ram starts running from room number 109 touches the other end returns touches the door of room number 109 so on for 65 minutes continuously after which he drops down exhausted His speed is seen to be v 100 x m s where x is the distance in m from the centre of the corridor How many times did he touch the other end during this time interval Take n 3 14

A marble is projected in a viscous fluid with an initial speed u at an angle above the horizontal Drag force of the fluid results in an acceleration k in addition to that of gravity where k is a positive constant and u is the velocity of marble Determine position coordinates and x horizontal and y vertical components of velocity of the marble as functions of time t What is the terminal velocity

The figure gives the acceleration of a 4 0 kg particle as an applied force moves it from rest along an x axis from x 0 to x 9 0 m The scale of the figure s vertical axis is set by as 7 0 m s How much work has the force done on the particle when the particle reaches a x 4 0 m b x 7 0 m and c x 9 0 m What is the particle s speed and direction give positive answer if the particle moves along x axis in positive direction and negative otherwise of travel when it reaches d x 4 0 m e x 7 0 m and f x 9 0 m s w v 10 68 x m

A 15 gm ball is shot from a spring gun whose spring has a force constant of 600 N m The spring is compressed by 5 cm The greatest possible horizontal range of the ball for this compression is g 10 m s A 6 0 m 12 0 m 10 0 m 8 0 m B C D

An alpha particle is projected with an initial speed of Yo 3 2 x 107 m s into the uniform field between the parallel plates as shown in the figure 1cm Vo 2 cm E Assume that the field between the plates is uniform directed vertically downward that the field outside the plates is zero Given mass of particle 4 mass of proton

39 Two persons A and B goes from their home to office The position x time t plot of their motions are shown in the graph The home of A is taken as origin Choose the correct statement x m 250 175 150 100 A B 1 12 14 16 18 19 t s 10 1 B moves faster than A 2 A starts earlier than B 3 Both starts from origin 4 Both meet at 150 m from home of A 40 Two objects A and B are moving in opposite directions with speeds VA and VB respectively the magnitude of relative velocity of A w r t B is 1 VA VB 2 VA VB 3 16 1 4 X K

1 A body is projected vertically upwards from ground The time corresponding to height h while ascending and descending are t and t2 respectively The velocity of projection is 1 g t t 2 3 g t t 2 g tt 2 4 g 2t t 1 2 A ball is thrown vertically upwards with vertically 37 m s The displacement of the particle in 4th second will be g 10 m s 1 2 9 m 2 2 m 2

Path equation of projectile is y 16 6x x Origin is situated at earth surface Here horizontal distance is denoded by x and vertical distance is denoded y Then maximum height and range of projectile will be 1 25 m 10 m 2 15 m 6m 3 10 m 4m 4 None of these

Stion given below has four answer options out of which ONLY ONT is correct Choose the appropriate option as your answer in response area For CORRECT answer you will Marks and for WRONG answer there is a negative marking of 1 Mark No marks will be awarde leave question unattempted Two objects are moving in a straight line Their position x versus time 1 graphs are as shown in figure The relative velocity of A with respect to B is x fin 8 AB il 4 Zero 4 SPONSE AREA

police jeep is chasing with velocity 45 km h A thief in another jeep is moving with 155 km h Police fires a bullet with a muzzle velocity 180 m s The bullet strikes the jeep of the thief with a velocity a 2 m s c 250 m s b 150 m s d 450 m s

Pulling the plates of an isolated charged capacitor apart Select one O a increases the potential difference O b does not affect the capacitance O c increases the capacitance O d does not affect the potential difference O e decreases the potential difference

From the top of a tower of height 50 m a ball is thrown vertically upwards with a cer the ground 10 s after it is thrown up How much time does it take to cover a distance AB where A an B are two points 20 m and 40 m below the edge of the tower g 10 m s 1 2 0 s 2 1 0 s 3 0 5 s 4 0 4 s

70 A train is moving slowly on a straight track with a constant speed of 2 ms 1 A passenger in that tra starts walking at a steady speed of 2 ms to the back of the train in the oppoisite direction of th motion of the train So to an observer standing on the platform directly in front of that passenger the velocity of the passenger appears to be 1 4 ms 1 3 2 ms in t 2 2 ms 1 posite direction of the train 4 zero

Two particles are separated by a horizontal distance x as shown in figure They are projected as shown in figure with different initial speeds The time after which the horizontal distance between them becomes zero is 1 u 30 2u X u 2 2x u 60

A ball is hung from ceiling of trolley as shown in figure Acceleration of the trolley up the inclined plane is a g Then angle made by string supporting the ball makes with inclined plane in equilibrium is 30 0 45 60 30 0 Acceleration up

llustration 52 A boat can be rowed at 5 m s in still water It is used to cross a 200 m wide river from south bank to the north bank The river current has uniform velocity of 3 m s due east a In which direction must it be steered to cross the river perpendicular to current b How long will it take to cross the river in a direction perpendicular to the river flow c In which direction must the boat be steered to cross the river in minimum time How far will it drift lution

1 If a particle occupies x seconds less and acquires a velocity y ms more at one place than at another in falling through the same distance If g and g are accelerations due to gravity at those two places then xy is equal to 3 81 82 4 1 81 82 1 81 82 2 82 81

Q 70 Calculate power generated by tension in the string in first 2 seconds of motion T m g a 10 10 5 T 150 N 11 S ut 0 1 2 1 zat 2 x 5 x 2 10 C 11 32 Pack

A very large plank P of some unknown mass is being moved with velocity u in positive x direction under application of an external force not shown in figure Simultaneously a block B of mass m placed on the plank is also moving with velocity vok All these velocities are with respect to ground frame and at t 0 Coefficient of friction between the plank and the block is u Choose the correct option s 7 Kinetic friction force acting on the block at t 0 is mgk At t 0 power developed with respect to ground frame by kinetic friction force on the block B is jmy 2vo At t 0 power developed with respect to ground frame by kinetic friction force on the block B is jamgvo 2 CORRECT ANSWER At t 0 heat dissipation per sec in the system is 2 2pangya

Three boys A B and C are situated at the vertices of an equilateral triangle of side d at t 0 Each of the boys move with constant speed v A always moves towards B B towards C and C towards A When and where will they meet each other

1 100 N 2 25 A tennis ball is dropped on the floor from a height of 10 m It rebounds to a height of 5 m The ball was in contact with the floor for 0 01 s What was its average acceleration during the contact g 10m s 1 800 m s 2 200 m s 3 1600 m s 4 2400 m s

5 6 A part of circuit is shown in figure Choose the correct option s I 4A 2V T 3ohm 3ohm www 3V 2A 3A7 A I 1 3 B I 2 3 A C L 1 3A D 1 2 3 A In figure take 6 0 V 1 5 V and 4 5 V Take R 600 2 R 125 2 R 3000

A body is in motion along the positive axis according to the relation a a sin wt Then the variation of its kinetic energy K with time may be represented by K A B Wa TT 3 2w W K 2w N O IT 4w K IT 2w 3 C 0 TT TT 2w N W K D 0 TT 4w TT 2w 3 t 4w 3 t 2w 3 t 4w 2 T W E3 2 3 3 t t t t