Kinematics Questions and Answers

A car travels one third of the distance at a speed of 6 km hr and remaining distance of 30 km hr Then the average speed of the car for the whole journey is O O 30 km hr 36 km hr 40 km hr

A ball with mass 0 6 kg is thrown upward with initial velocity 5 m s from the roof of a building 20 m high Assume there is a force due to v directed opposite to the velocity air resistance of magnitude 1325 where the velocity v is measured in m s NOTE Use g 9 8 m s as the acceleration due to gravity Round your answers to 2 decimal places a Find the maximum height above the ground that the ball reaches Height m b Find the time that the ball hits the ground Time seconds

A particle is projected with velocity 20 m s at angle 60 with the horizontal The radius of curvature of path followed by particle at the position when velocity vector makes an angle of 45 with the horizontal is g 10 m s m

A stone is projected towards a wall at any angle with the horizontal The wall is at a distance of 80 m from the point of projection What should be minimum speed in m s of projection so that the stone can hit the wall g 10 m s

A particle is projected with same speed um s at two different angle of projection from the horizontal ground and it is found that ranges are equal If sum of maximum heights in m attained in then find then value of k g 9 8 m s these two cases is k

Paragraph 2 A particle A starts moving from point A with constant velocity 4 m s along x axis Another particle B initially at rest starts moving along x axis after 8 3 sec after the start of A with acceleration varying as a 4 3 t m s Based on the above information answer the following questions 34 Particle B will stop again at the position x equal to B 36 m A 72 m C 3 m 35 Total distance traveled by the particle B when it meets the particle A for the second time is 56 C m A 304 3 m 96 B m 3 36 Magnitude of the relative velocity of the two particles when they meet for the first time is C 20 m s B 12 m s A 16 m s D 6 m D 36 m D 18 m s

A force of 150 newton is required to just slide a sledge weighing 5 10 newton over a surface of ice Calculate the co efficient of friction between the surfaces of contact of the sledge and the ice

Le d A body is pushed up on a rough inclined plane making an angle 30 to the horizontal If its time of ascent on the plane is half the time of its descent find coefficient of friction between the body and the inclined plane e F

A mass m is suspended from a spring of force constant k and just touches another identical spring fixed to the floor as shown in the figure The time period of small oscillations is eeeee k feeeee 8 poly para sa MNA 018 38 zex bolxb Loc

Starting from rest a wooden block moves with a velocity of 25ms along a rough ground and comes 1 to rest Calculate the distance travelled by the wooden block on the rough surface of coefficient of friction 0 25

A block of wood of mass 0 5 kg is placed on a plane making 300 with the horizontal If the co efficient of friction between the surfaces of contact of the body and the plane is 0 5 What force is required to keep the body sliding down

balls of al ter 5 m each moving th a speed 01 3 roll without slipping towards each other on a horizontal rectangular U shaped trough that is sufficiently deep that the balls are clear of its base see figure The resulting instantaneous collision is perfectly elastic and during it each ball reverses its linear velocity through their angular velocities are not affected Answer A B C Your Attempt Correct answer When width 4 cm the balls will collide twice When width 3 cm the balls will collide twice Rate this question speed of the balls just before the second collision if the width of the trough is 4 cm is 0 16 m s

22 The standard acceleration at sea level and 45 lat itude due to gravity is 9 806 65 m s2 What is the force needed to hold a mass of 2 kg at rest in this gravitational field How much mass can a force of 1 N support

In the given circuit capacitor is initially uncharged At t 0 switch S is closed Current in ammeter just after closing the circuit is 3V 9R R www 4V 9R 5t 9Rc e Re S V e 3Re 9R V 9R wwww The current flowing in the branch of capacitor is C R Read Less A

3 51 A shell acquires the initial velocity 320 m s having turned complete two revolutions inside the barrel whose length is equal to 2 m Assuming that the shell moves inside the barrel with uniform acceleration find the angular velocity of its axial rotation at the moment when the shell escapes the barrel Ans 2 x 10 m s

A particle A is moving in positive x direction with velocity 20 m s and particle B is moving in positive y direction with velocity 10 m s At a certain instant they are at the positions shown in figure If minimum separation between them will be k 5m then find the value of k 14 40 m B 40 m X

Four charges two 8uc and two 1 uc a re fixed at 0 27 2 and 0 3 2 res pectively A third charge of 1 3uc and mass 2g is at large distance along the x axis Find the minimum velocity to be given to the charge such that it just rea ched the origin

1 To a man walking due west with a speed of 4m s wind appears to blow from the north east when he increases his speed to 7m s the wind appears to blow from the north Find velocity of wind with respect to ground YURE 4 1 1 50 131 58 VME 2 40 4 42

The figure shows the position time graph of a body moving along a straight line 10 0 x m 5 15 20 t s i Draw the velocity time graph of the body ii From the graph find the displacement in 20 seconds Draw the velocity time graph of uniformly accelerated motion From the velocity time graph of uniform accelerated motion deduce the equation of motion in Distance and time

A stone is projected with speed 15 m s at an angle of elevation 53 and moves freely under gravity The radius of curvature of its path at the instant its velocity is at an angle of elevation 37 is g 10 m s O 5 4 m 8 6 m O 12 4 m O 15 8 m

small ball falling vertically downward with constant velocity 2 m s strikes elastically an inclined plane moving with velocity 2 m s as shown in figure The velocity of rebound of the ball with respect to ground is A a 4 m s c 2 2 m s 2m s ybod ir vybolov 45 erit 18 eesmt 2m s b 2 5 m s d 2 m s ilumi qu

Two objects have masses m and 5m respectively They both are placed side by side on a frictionless inclined plane and allowed to slide down from rest Select one a The two objects reach the bottom of the incline at the same time O b It takes the lighter object 5 times longer to reach the bottom of the incline than the heavier object O c It takes the heavier object 10 times longer to reach the bottom of the incline than the lighter object d It takes the heavier object 5 times longer to reach the bottom of the incline than the lighter object Check

9 A skater of mass m standing on ice throws a stone of mass M with a velocity of u in a horizontal direction The distance over which the skater will move back the coefficient of friction between the skater and the ice is u M v M v M v b c d 2m g 2m g a Mv 2m g 2 2 2m g

50 A small ball on a frictionless horizontal surface moves towards right with a velocity v It collides with the wall and B returns back and continues to and fro motion If the average speed for first to and fro motion of the ball is 2d 9 3 u then the coefficient of restitution of impact is a 0 5 b 0 8 c 0 25 d 0 75 A m V

43 The lower end of a 4 m long uniform rod AB is pulled with constant speed v 4 m s The speed of centre of mass of the rod at 0 60 will be A 0 B 4 a m s b 2 3 m s c 4m s 3 d 4 3 m s

ABC is a uniform triangular lamina with centre of gravity G If the portion GBC is removed the centre of gravity of the remaining portion is at G then GG is equal to 1 1 AG 3 AG 2 4 AG AG

The acceleration of a particle moving in a straight line varies with its displacement as a 2S 1 Velocity of the particle is zero at zero displacement Find the relation between velocity and displacement 1 v S S 1 2 v 2S S 1 S S 1 3 v 4 None of these

A particle travels from point A 2 7 5 m to point B 8 7 7 m then displacement of particle is 1 10m along x axis 2 2 10m along x axis 3 2 10m at 0 cos 4 2 10m at 0 cos 10 30 H with x axis with x axis

Can t we use doppler effect formula for radio waves whic h one should I consider as source and which one as obser ver 070 3 View In English The frequency of a radar is 780 M The troquency of the reflected wave from an ooroplano is increased by 28 kHz The velocity of acroplane is 00 0 25 km soc 0 5 km soc 1 km soc Q 4 Correct AnteSE 2 Status incorect

A projectile P is fired from ground An observer Q running on ground with uniform velocity of magnitude v observes P to move along a straight line The time of flight of P as measured by Q is T Then the range R of the projectile on ground is R VT R VT R VT

A river 2 km wide is flowing at the rate of 2 km h A boatman can row a boat at a speed of 6 km h in still water goes 4 km upstream and then comes back The time taken by him to complete the journey will be 90 min 80 min 60 min

A composite rod comprising two rods of mass m and 2m and each of length l 1 m as shown in the figure Assume w 10 rad s and m 1 kg the KE of the rotating composite rod is 1 2 uestion Type Single Correct Type 3 125 J 150 J m 250 J 1 2m 1

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A girl inside a moving train observes the objects outside of the train Choose the correct statement from the following Question Type Single Correct Type 1 2 3 A Stationary objects near the train will move with greater velocity and objects far from train will move with lesser velocity with respect to the girl All stationary objects outside the train will move with same velocity in opposite direction of the train with respect to the girl Large objects like moon or mountains will move with same velocity as that of the train

tion from 0 5 hr to 1 hr A particle is projected horizontally from top of an incline Incline makes 37 angle with horizontal At the same time a flat trolley is released from a point 27 m down the incline which goes down without any friction starting from rest If the particle lands in the trolley find the speed in m s with which the particle is projected 27m 37

7 If the displacement of a particle varies with time as x t the A velocity of the particle is inversely proportional to t B velocity of the particle is proportional to t C velocity of the particle is proportional to

96 Speed time graph of a particle moving along a fixed direction is as shown in figure The distance travelled by particle in first 7 s is v m s 15 10 5 1 40 m 101 0 5 10 t s 2 75 m p

A particle is performing a circular motion of radius 1m Its linear speed is varying with time t as per the equation v 3t where t is in seconds and v in meter secon At time t 3s find the magnitude of the acceleration A 6670m s B 6570m s C 6870m s

Thrust on the pulley 27 6 A body of mass m is on a smooth inclined plane as shown A string attached to it T passes over a light pulley and carries mass m at the other end as shown If m moves up and m moves down for my for m m g T m a T m g sin 0 m a acceleration of each block is a mig sin 0 m m sin 0 g m m Tension in the string T m g a Thrust on the nulley T 7 27 cos 90 0 0 27 1 sin 0 T m2 g

34 Two bodies starts moving from same point along a straight line with velocities v 6 m s and V 10 m s simultaneously After what time their separation becomes 40 m 1 6 s 2 8 s 3 12 s 4 10 s

A stone thrown upward with a speed u from the of a tower reaches the ground with a velocity 4u height of the tower is 1 15u 2g 16u 2 7u 2g

What vector must be added to the two vectors i 2j 2k and 2i j k so that the resultant may be a unit vector along x axis The two vectors have magnitudes 3 and 5 If angle between them is 60 find the dot product of two vectors Find the cosine of the angle between the vectors A 31 1 2k andB 21 21 4k

A particle moves in a straight line with retardation proportional to displacement Its loss of kinetic energy for any displacement x is proportional to x et X log x

2 Abox of mass m lies on a floor Suppose a force of magnitude Facts on vertically upwards on the box If F increases the magnitude of normal force exerted on the box from the floom A Increases from the initial value mg B Remains the same C Decreases from initial value mg and becomes zero D Either increases or decreases depending on the magnitude of force F

3 At t 0 an arrow is fired vertically upwards with a speed of 98 ms A second arrow is fired vertically upward with the same speed at t 5 s Then a the arrows will be at the same height above the ground at t 12 5 s b the two arrows will reach back at their starting points at t 20s and t 25 s c the ratio of the speeds of the first and the second arrows at t 20 s will be 2 1 d all the above are correct

Two trains A B100km apart are travelling towards each other on different tracks with starting speed of 50km h for both The train A accelerates at 20km h and the train B retards at the rate 20km h The distance covered by the train A when they cross each other is

A charged particle B 41 31 T exists If D is the maximum separation of charged particle from x y plane and the velocity of the charged particle at this time then y q m B 47 3 Options D D m V 1 47 4 87 ms m Xv 1 4i 48j m s Solution Answer A B D 2 m 3 6 9 5 5 m q 1 in Sl unit is thrown with velocity 51 m s from origin in a gravity free space where a uniform magnetic field m 1 47 4 87 m s

nown is a Distance and Time graph 5 Time Block G and H 4 Distance m N 3 H O 0 A Distance Time Graph 1 B 2 C Which time block s showed the particle acceleration without stopping 3 4 D E Time s 5 6 7 8 F GH

From a great height two projectiles are thrown simultaneously in horizontally opposite direction with equal speed 20 m s If acceleration due to gravity g 10 m s2 Then the time after which the projectiles will be moving perpendicular to each other is 1 1s 2 2 s 3 3 s 4 4 s

Q9 A particle is projected in the X Y plane 2 sec after projection the velocity of the particle makes an angle 45 with the X axis 4 sec after projection it moves horizontally Find the velocity of projection use g 10 ms