Kinematics Questions and Answers

o Full Marks 4 If the correct integer is typed in the provided space o Zero Marks 0 In all other cases A ball rolls down a tube that is inclined at an angle of 53 with the horizontal The ball leaves the lower opening of the tube with a speed of 5 m s A strong horizontal wind imparts the ball uniform horizontal acceleration everywhere during its flight as shown in the figure As a result the ball strikes the ground at a point that is 12 m vertically below the lower opening of the tube What is the horizontal acceleration imparted by wind to the ball 53 5 m s wind

A particle is projected with velocity 10 m s at an angle of 60 from ground Then the vertical component of velocity vector when instantaneous velocity becomes perpendicular to initial velocity is 5 1 m s 3 3 5 m s 10 2 m s 3 4 5 3 m s

A particle is initially at point P on xy plane whose position vector makes an angle of 30 with positive x axis The particle moves to the point Q on xy plane whose position vector makes an angle of 60 with positive x axis If O be the origin and OP OQ 2 find the displacement vector of the particle 0 5 1 1 1 0 5 3 1 732 i 0 732 1 1 2 0 732 4 0 732 i

A person travelling on a straight line moves with a uniform velocity v for distance x and with a uniform velocity v in same direction for the next equal distance the average velocity v is given by V V 2 V V V 3 1 1 12 V 11 1 V V V

mine the magnitude of the torque acting on it 0 1256 N m 7 A string wound around a solid cylinder is unwound by apply ing a f rce of 20 N Calculate the torque acting on the cylinder and angular acceleration produced in mass of cylinder is 2 5 kg and radius of 50 cm 0N m 32 rad s2

Question 37 A beam of 4 m span is simply supported at its end It carries a concentrated load of 40 KN 20 KN at 1 m 2 m from left hand support respectively Determine the reactions at left hand support 20 KN 40 KN

32 72 1 8 N 3 6 N 2 10 N 4 4 N An object is thrown from a point A Q 92 horizontally from a tower and hits the ground 3s later at B The line from A to B makes an angle of 30 with the horizontal The initial velocity of the object is Take g 10 m s 1 15 3 m s 2 15 m s 3 30 3 m s 4 25 3 m s A pomon A of 50 ka ing 1 8 N 3 6 N vagy afava SRI are a fu 1 15 3 m s 3 30 3 m s 2 10 N 4 4 N 3 fag A BAB fam 8 g 10 m s 2 15 m s 4 25 3 m s 073

7 1 A body of density p is dropped from rest from a height h into a lake of density o o p Neglecting all dissipative effect the acceleration of body while it is in the lake is B 8 1 downwards A g 1 u upwards C g upwards 9 D g downwards 7 d re

Two blocks A and B of masses 4 kg and 6 kg are as shown in the figure A horizontal force of 12 N is required to make A slip over B Find the maximum horizontal force Fg that can be applied on B 1 5 2 so that both A and B move together take g 10 m s A B FB

1 34 The position vector 7 of a moving particle at tim after the start of the motion is given by 7 5 20 t E 95 10 t 5t j At the t T the particle is moving at ri angles to its initial direction of motion Find the value of Ta the distance of the particle from its initial position at this tim Ans 5s 125m sl idw endo endo en sout

A player completes a circular path of radius r in 40s At the end of 2 minutes 20 seconds displacement will be Her 2 r the promises 3 7 r 4 Zero A body goes 20 km north and then 10 km due east The displacement of body from its starting point is 1 30 km 2 25 2 km 3 10 km 422 36 km A man walks 4m towards north then 3m towards east and there he climbs a pole 12m height 1 distance covered by man is 13 m 3 distance covered by man is 21 m 2 total 2total displacement by man is 13 m 4 total displacement by man is 19 m

7 17 A beaker containing a liquid is kept inside a big closed jar If the air inside the jar is continuously pumped out the pressure in the liquid near the bottom of the liquid will A Increases B Decreases C Remain constant D First decrease and then increase y to 2 To dould A C T

0 Rajdhani express moves at a speed of 120 km h How long will it take to cover a distance of 15 km 37 5 min 1 6 4 min 2 2 3 min 4 8 3 min 1 A car travels a distance of 250 km from Hyderabad to Guntur in 5 hours the velocity of the car for this journery is 1 40 kmph 2 50 kmph 3 60 kmph 4 70 kmph 2 A car is moving at a speed of 15 ms In how much time will it cover a distance of 1 2 km 1 70 s 2X 80 s 3 18 s 4 45 s

A monkey is sitting on the top of a tree having an apple in his hand A person standing on the ground at a distance d from the foot of the tree throws a stone towards the monkey directly aiming towards the apple and at the same instant the monkey drops the apple then a stone will always hit the apple b stone will hit the apple in certain circumstances c stone and apple would have same speed when they collide d None of the above

After falling from a height of 5m a ball strikes the root of a lift If at the time of collision lift is moving in the upward direction with a velocity of 1 m s then the velocity with which the ball rebounds after collision will be e 1

A particle is moving on a straight line along x direction A graph between square of its velocity position is drawn as shown Find the magni acceleration in m s of particle 100 v m s DE x m

A particle moves in x y plane The position vector of particle at any time t is F 2t i 21 m The rate of change of 0 at time t 2s where 0 is the angle which its velocity vector makes with positive x axis is 1 14 A 71 172 rad s B rad s 4 C rad s 7 6 D rad s 5

or ground to ground projectile time taken by a particle to go from point O to point C is T and during the same motion time taken by the particle to go om A to B is T2 then height h is y A h B h

What is the displacement of the body if it returns to the same point from where it started Give one example from daily life When do the distance and magnitude of displacement become equal

5 48 An object rotates about a fixed axis such that a reference line on the object makes an angle 0 aet with its starting position at time t Find for a particle on object at a distance r from the axis of rotation the tangential the radial and the total acceleration of the point bt Ans a ab re a a b re2bt ar ab reb a e b 1

Two cars are moving on straight line with constant velocities along X axis at time t 0 seperation between both is 20 m Take usual sign convention Choose comed graph of position of A with respect to B AS vs time 6m s B 4mv s

1 19 A point mass starts moving in a straight line with a constant acceleration a At a time t after the beginning of motion the acceleration changes sign remaining the same in magnitude Determine the time t from the beginning of motion in which the point mass returns to the initial position Ans 1 2 2 28 0

A thin cylindrical rod 21 2 cm long with a mass m 1 20 kg has a bail of diameter d 6 00 cm and mass M 2 00 kg attached to one end The arrangement is originally vertical and stationary with the ball at the top as shown in the figure below The combination is free to pivot about the bottom end of the rod after being given a slight nudge a After the combination rotates through 90 degrees what is its rotational kinetic energy 5 99 b What is the angular speed of the rod and ball rad s c What is the linear speed of the center of mass of the ball m s d How does it compare with the speed had the ball fallen freely through the same distance of 24 2 cm is greater than V by

54 A man standing on a rail road car throws a Q 54 R 20 m s stone straight upwards with the speed 20 m s car is also moving with constant horizontal velocity 20 m s then motion of stone w r t man is 1 Parabolic 3 Hyperbolic 2 Straight line 4 Circular for er 20 m s eft 1 deftres 3 ff 2 4 gefra F f

2 28 A crate is pulled along a horizontal surface at constant velocity by an applied force F that makes an angle 0 with the horizontal The coefficient of kinetic friction between the crate and the surface is u Find the angle 0 such that the applied force is minimum to slide the block Also find the minimum value of this force Iton 1 mmg

A particle leaves the origin with an initial velocity 37 m s and a constant acceleration 4 2 m s Its speed when its x coordinate of position is maximum is 1 3 m s 2 312 m s 3 6 m s 4 9 m s

A ball is thrown vertically upwards with a velocity of 20 m s from top of multi storey building The height of the point from where ball is thrown is 25 m above ground with what speed the ball will hit the ground 1 25 m s 3 40 m s 2 35 m s 4 30 m s

A ball is thrown at angle 0 and another ball is thrown at angle 90 0 with the horizontal direction from same point each with speeds of 40 m s The second ball reaches 50m higher than the first ball Find t Individual heights g 10 m s

All India Major Test Series Phase I II Major Test 38 32 01 08 2020 PHYSICS 1 46 The velocity time graph shown in figure Q 46 Incorrect statement is EET PHYSICS A 1 The average acceleration from 1s to 3s is 10 m s LA 1 1s 3s 10 m s xamy

A uniform chain of length and mass m overhangs a smooth table with one third part hanging and two third part lying on the table The kinetic energy of the chain as it completely slips off the table will be o mgl 3 02 mgl mgl 18 mgl

138 There is a large wedge placed on a horizontal surface with its incline face making an angle of 37 to the horizontal A particle is projected in vertically upward direction with a velocity of u 6 5 m s from a point O on the inclined surface At the instant the particle is projected the wedge begins to move horizontally with a constant acceleration of a 4 m s At what distance from point O will the particle hit the incline surface if 1 direction of a is along BC ii direction of a is along AB

a A swimmer who can swim in still water at speed y wants to cross a river flowing at a speed 1 In what direction should he swim to cross the river in least time a Perpendicular to the flow b U d c Along 0 sin 1 Parallel to the flow 4 Along 0 sin 1 0 1 1 0 0

A projectile is thrown from the ground as shown This distance between two vertical walls is 90 m The range of projectile is 1 125 m 3 225 m t 3 s 90 m t 7s X 2 180 m 4 250 m with speed v speed

The river velocity is 5 ms A swimmer starts from point A and reaches at point B after 2 The distance AB is 8 6 3 m Find the velocity of swimmer with respect to river B A 3 3ms A B 6 ms Vr 5 ms 1 C 6 3ms D 4 3ms

Mark drives his car starting from rest and travels for 15 0 s with a uniform acceleration of 3 m s 2 He then steps on the brakes causing a uniform acceleration of 2 0 m s 2 If the brakes are applied for 7 0 s a What if the initial velocity b What is the velocity after 15 seconds m s c How fast is Mark driving at the end of the braking period d How far has the car gone m m s Write the answer in two decimal places e g 0 20 11 98 125 30 0 00 m s

A 7 sec B 3 sec C 4 sec A car travelling at 72 km h decelerates uniformly at 2 m s Calculate a the distance it goes before it stops b the time it takes to stop and c the distance it travels during the first and third seconds 51

0 If acceleration velocity curve for a particle moving along straight line is as shown in figur velocity time curve will be A K V C a V B D a

A particle is moving in a straight line with velocity v t 4 m s What is the average speed between t 0 to t 8 second 2 1 ms 1 4 4 ms 1 1 0 ms 1 3 2 ms 1

24 Velocity of a particle moving along a straight changes parabolically with time according to the graph shown in figure Then its average velocity in the time internal t 0 to t 4 s 8 v m s O 1 2 57 m s 3 6 15 m s 2 4 t s 2 4 m s 4 5 33 m s

B B and B are three balloons ascending with velocities v 2v and 3v respectively If a ball dropped each balloon at the same height then 1 Ball from B reaches the ground first 110 1 3 Ball from B3 reaches the ground first 2 Ball from B reaches the ground first 4 All balls reach the ground simultaneously

An elevator is moving downward with a uniform acceleration of 2 m s 2 Two blocks A and B are placed on its floor as shown in the figure The force exerted by the block A and B if the mass of A is 2 kg is g 10 ms a A B

PHYSICS Consider a particle for which gravity acts only during alternative odd seconds 1st 3rd after projection Projection velocity and angle of projection are 25 m s and 37 respectively Then choose the correct options Take g 10 m s A Horizontal range of the particle is 100 m 15145 25m s B Maximum height attained by the particle is 21 25 m C Particle strikes on ground after 3 sec D Average velocity of particle for complete journey is 20 m s Ja 1371 5 28x1 20

Three mutually perpendicular mirrors are facing a point object P placed at 1 2 3 If intersection point of mirrors is taken as origin distance between the closest image and the farthest image from object P will be A Distance between the closest image and the farthest image from object P will be 2 13 B Distance between the closest image and the farthest image from object P will be 2 14 e All the images will lie on a sphere of radius 14 unit D All the images will lie on a sphere of radius 13 unit 2

A football is kicked at an angle 0 45 It is intended that the ball lands in the b ack of a moving truck which has a trun k of length L 5 m If the initial horizont al distance from the back of the truck t o the ball at the instant of the kick is 5 m the truck moves directly away from the ball at velocity V 9 m s What is a pproximate maximum minimum velo city in m s so that ball lands on the tr uck Assume the ball back of the tru ck to be at the same horizontal level

p Iwo particles A and B are thrown in directions as shown in figure simultaneously with velocities 5 m s and 20 m s Initially the particle A is at a height 20 m from ground The time when the particles will collide is rem 082 A 1 0 2 sec 3 0 6 sec O A 20 m 10 15 m s 420 m s B 105 2 0 8 sec 4 0 5 sec

Two planes are inclined at angles a and with the horizontal and a particle is projected at right angle to the one plane from a point at a distance a from the point of intersection of the planes as shown in the figure If the particle strikes to the other plane at right angle time of flight is A C 2a sin a B g sin a sin cos a B 2a sin x B Vg sin a sin cos a B B D 2a sin B Vg sin a sin cos a B 2a sin a B g sin a sin cos a B

A projectile is fired from the origin O at an angle of 45 with the horizontal At the highest point P of its trajectory the components of its acceleration along and perpendicular to its position vector respectively are y a a a 2g 5 2g 5 5 5 2g 5 X

A trolley is moving horizontally with a constant velocity of v m s w r t earth A man starts running from one end of the trolley with a velocity 1 5v m s w r t to trolley After reaching the opposite end the man return back and continues running with a velocity of 1 5v m s w r t the trolley in the backward direction If the length of the trolley is L then the displacement of the man with respect to earth during the process will be A 2 5L B 1 5 L 5L 4L D

A car going at 24 meters per second passes a motorcycle at rest As it passes the motorcycle starts up accelerating at 3 2 meters per second squared If the motorcycle can keep up that acceleration how long will it take for it to catch the car a 12 s b 14s 0

4 50 N 112 A football of mass 0 5 kg is moving towards east with a speed of 20 m s Now a player kicks the moving football with a force of 1000 N in north direction and football remains in contact with his feet for 0 01 s then find new speed of football 1 60 m s 2 30 m s 3 20 2 m s