Kinematics Questions and Answers

frictionless pulley The other end of the cord is attached to a ball of mass m 0 433 kg The parcel is given an initial velocity with magnitude v 3 49 m s directed parallel to and up the inclined plane as shown in the image The coefficient of kinetic friction is 0 23 theexpertta com tracking id OP65 5D AD 4B BCDF 29658 In accordance with Expert TA s Terms of Service copying this information to any solutions sharing website is strictly forbidden Doing so may result in termination of your Expert TA Account sin cos asin tan T acos E cotan atan acotan sinh cosh tanh cotanh A 50 Part a What is the distance in meters that the parcel travels up the inclined plane before coming to rest A 50 Part b What is the minimum value of the coefficient of static friction such that after coming to a stop the parcel remains at rest and does not accelerate down the inclined parcel H4x 1 L 7 8 9 4 5 6 1 2 3 0 HOME my END 111 Grade Summary Deductions Potential 100 Submissions Attempts remaining 4 per attempt detailed view

A car s velocity vector is given by m 3 tj m 20 i 3 V S a What is the car s speed at t 5s b What is the car s direction of travel at t 5s c How far is the car from where it was at t 0s when t 5s

from the inclined plane at angle 37 with the inclined plane in upward direction with speed 10 m s The angle of inclined plane with horizontal is 53 Then the maximum height attained by the particle from the incline plane from the point of projection will be A 3m B 4 m 53 372 C 5 m D

If R and h represents the horizontal range and maximum height respectively of an oblique R projectile then 2h represents 8h 1 Time of flight 2 Maximum horizontal range 3 Maximum height 4 Velocity of projectile at highest point

A projectile is thrown with a velocity up at an angle 0 with the horizontal The ratio of the rate of change of speed w r t time at the highest point to that at the point of projection is A g sin 0 C zero B g sin 0 D g

5 A particle is moving in a plane on curve y Its x component of velocity is constant and is equal to 3 at x 1 m is y 232323 Vy Bx xx J3 2 m s Angle between its velocity and acceleration A 90 C 60 B 45 D 30 If the system shown in figure is released from rest at t 0 The relation between acceleration of pro ideal

1 with A man mass 50kg and his son mass 20 kg are standing on a frictionless surface facing each other The man pushes his son so that he starts moving at a speed of 0 70 ms respect to the man The speed of the man with respect to the surface is 2 0 28 ms b 0 20 ms 2019 Main 12 April I 0 47 ms d 0 14 ms 1

Wind is blowing in the north direction at speed of 2 m s which causes the rain to fall at some angle with the vertical With what velocity should a cyclist drive so that the rain appears vertical to him A 2 m s south C 4 m s west B 2 m s north D 4 m s south

3 4 14 A block of mass 2 kg moves such that the position is as variation of velocity with represented in the graph The power delivered to the particle at x 2m will be v m s 45 T JEET 0 0 1 8 W 3 4 W 1 IN 2 x m 3 2 32 W 4 16 W

A particle is moving along the circumference of a circular track of radius 2 m What is the average velocity of particle when it covers th of its circumference in 42 second O 3 4 2 E 2 2 m s m s O 50 cm s O 140 cm s

SolveLancer Test From top of the tower first ball is thrown in vertically upward direction and second ball is thrown in vertically downward direction First ball reaches the ground in 20 sec and second ball reaches the ground in 8 sec If both balls thrown with same speed then find their velocity in m s when they reach the ground and height in km of the tower respectively SolveLancer Test a 140 800 b 800 140 c 140 0 8 0 08 140

surface is horizontal near the smaller mass and gradually curves to become vertical T smaller mass is pushed on the longer one at a speed u towards right Assume that all t surfaces are frictionless The maximum speed of larger mass will be m Answer A B C h r Your Attempt u 1 M m 2u 1 M m u 1 M m Correct answer Rate this

4 8 A motor vehicle moves such that the velocity is linear function of time The graph betwe acceleration and time and velocity and tim respectively will be 1 Straight line straight line 2 Straight line parabola 3 Parabola straight line 4 Parabola parabola

A block A of mass 3kg moving with a speed 2m s collides elastically with a stationary block B of mass 4kg The location of block B is at origin at the time of collision Assume the collision with the wall to be elastic in nature and the size of the blocks is negligible The x coordinate of block B when it collides with block A for the second time is 2m s A A 3 6 m C 10 2 m B x 0 x 12m B 4 8 m D 15 m

In figure a bar of mass m is placed on the smooth surface of a wedge of mass M The bar is connected to an inextensible string passing over a light smooth pulley fitted with the wedge The string is connected to the vertical wall The angle of inclination of the slant surface of the wedge is a If all contacting surfaces are smooth find the acceleration of the wedge M

2 3 Vcos a 001CJA101620000 LLEN 3m 2m 0 13m s An armored car 2m long and 3m wide is moving at 13m s when a bullet hits it in a direction making an angle arctan 3 4 with the car as seen from the street see figure The bullet enters one edge of the car at the corner and passes out at the diagonally opposite corner Neglecting any interaction between bullet and car the time in sec for the bullet to cross the car is Target JEE Main Advanced 2022 10 10 2021 Paper V 20 1 t 20 E 7 28 m s where t is the time in sec The power in Watt required to drive this car at 10m s on the same road is

A bird is flying towards south with a velocity 40km h and a train is moving with a velocity 40 km h towards east What is the velocity of the bird w r t an obserber in the train 1 40 2 km h N E 2 40 2 km h S E 3 40 2 km h S W 4 40 2 km h N W

A boat man can row a boat to make it move with a speed of 10 km h in still water River flows steadily at the rate of 5 km h and the width of the river is 2 km If the boat man cross the river along the minimum distance of approach then time elapsed in rowing the boat will be 2 1 h 2 5 3h 3 2 3 5 3 2 5 5 2 h 4 h 3

A river is flowing at the rate of 6 km h A swimmer swims across the river with a velocity of 9 km h w r t water The resultant velocity of the man will be in km h 1 117 2 340 3 17 4 3 40

The velocity of a swimmer in still water is v and water current in river is v The swimmer is applying strokes perpendicular to water current If d is width of river the time taken by the swimmer to cross river is v

A proton of mass 1 67 10 27 kg and charge 1 0 10 19 C is projected with a 1 speed of 2 x 100 m s at an angle of 60 to the x axis If a uniform magnetic field of 0 104 T is applied along y axis the path of proton is helix with circular OPTIONS MARK FOR REVIEW

A particle starts from rest with constant acceleration If first distance S is covered in time t then the time taken to cover next 2S distance is 1 2 1 t 2 3 2 t 201 PHYSIC MAY 4

A body moves along a straight line with uniform acceleration and at instants t 0 1 2 3 s it is at distances of 30 52 5 80 and 112 5 m from a fixed point Find its acceleration and velocity at t 0 5 m s 20 m s A man covers a distance from a point P to a point Q in a straight line at a speed of 4 m s and returns back along the same path at a speed of 8 m s What is his average speed What is his average velocity 16 3 m s zero Two particles starting from the same point O at the same time and moving along the same straight line are at distances 5 11 metres and 7 3t metres respectively from O after ts from start a When will they have the same speed b When will they meet c What will be their velocities accelerations and distance from O when they meet x 2x b 4 c 51 and 59 m s dy 10 m s my 14 m s 1 1

Two blocks A and B are connected through a string as shown in figure If velocity of block A is v 5 m s at given instant then velocity in m s of block B at the same instant is given by Given cos8 2cos0 B 0 A VY V V

Ship A is sailing towards north east with velocity v 30 50 where points east and north Ship B is at a distance of 80 km east and 150 km north of Ship A and is sailing towards west at 10 km h A will be at minimum distance from B in CHW 2019 Main A B 4 2 h 2 6 h C D 3 2 h 2 2 h

3 mgl 4 mgl 19 A heavy stone is thrown from a cliff of heighth with a speed v The stone will hit the ground with maximun speed if it is thrown 1 Vertically downward 2 Vertically upward 3 Horizontally 4 The speed does not depend on the initial direction

Velocity of three particles A B and C varies with time t as V 2ti 6 m s VB 3 A 4 m s and vc 61 4tj m s Regarding the C pseudo force match the following table Column I Column II 1 On A as observed by B 2 On B as observed by C 3 On A as observed by C 4 On C as observed by A P Along positive x direction Q Along negative x direction R Along positive y direction S Along negative y direction T Zero

A block of mass 1 kg is attached to a spring with a force constant 100 N m and rests on a rough horizontal ground as shown in the figure Initial displacement block from natural length is 50 cm The total distance covered by the block if coefficient of friction between block ground is 0 05 g 10m s

A box is sliding on smooth surface with constant speed A particle is projected inside box from point P with velocity rel 10m s with respect to box at an angle a 60 with the floor of box The particle lands at point Q in the box with respect to observer B If to an stationary observer A the horizontal displacement of particle is zero then the velocity of box V at the moment particle was projected is in m s A V rol a 60 B

2 A ball is thrown vertically upwards from the ground It crosses a point at the height of 25 m twice at an interval of 4 s The ball was thrown with the velocity of 1 20 m s 2 25 m s 3 30 m s 4 35 m s A ball is thrown horizontally from the top of a tower

6 A car travelling at 40 km h can be stopped at distance 40m applying brakes If the same car is travelling with speed 120 km h Same brakes are applied then minimum stopping distance is 1 80 m 2 120 m 3 360 m 4 200m

An electric dipole is placed along x axis at the origin as shown in the figure Electric field at the point P is parallel to the y axis If x coordinate of P is 2 m what is its y coordinate 1 Question Type Single Correct Type 2 3 4 1 m 2 m 3 m YA 4 m P x y

A body dropped from the top of a tower covers a distance 7x in the last second of its journey where x is the distance covered in first second How much time does it take to reach the ground 1 3s 3 5s 2 4s 4 6s

A 200 g hockey puck is launched up a metal ramp that is inclined at a 30 angle The coefficients of static and kinetic friction between the hockey puck and the metal ramp are s 0 40 and uk 0 30 respectively The puck s initial speed is 7 5 m s What speed does it have when it slides back down to its starting point

A parachutist jumps out of an airplane and accelerates with gravity for 6 seconds He then pulls the parachute cord and after a 4 s deceleration period descends at 10 m s for 60 seconds reaching the ground From what height did the parachutist jump Assume acceleration due to gravity to be 10 m s throughout the motion

18 A point moves along a circle with speed v cf the total acceleration of the point at a time when it has traced th of the circumference is 1 8c 3 a 2 2 4 4

1 An object that was at rest experiences an acceleration At 3 seconds it is in position 11 25 meters and its speed is 7 5 m s2 After 4 seconds it is in position 61 25 meters and its speed is 17 5 m s2 Determine the average acceleration of the object

4 four times the original impulse 4 19 A system of two blocks A and B are connected by an 19 fearge inextensible massless strings as shown The pulley is 1 masselss and frictionless Initially the system is at rest when a bullet of mass m moving with a velocity u as shown hits the block B and gets embedded into it The impulse imparted bension force to the block of mass 3m is 1 I 777 36 Smu 1 4 4mu 2 3 5 2mu 5 3mu 5 IELIU A 3m 10 m B 1 1 post T I I u 32 T 3 5mu 4 4mu fa farmar 5 2mu 5 3mu 5 Space for Rough Work ZZ nyu B a 30 mxu

The velocity time graph for a particle moving along x axis is shown in the figure The corresponding displacement time graph is correctly shown by 1 3 R n X4 2 n 2 Is 4

x The density of air in atmosphere decreases with height and can be expressed by the relation P P Ah where po is the density at sea level A is a constant and h is the Po height Calculate the atmospheric pressure at sea level Assume g to be constant g 9 8 m s po 1 3 kg m and A 1 2 104m 1 06 x 105 N m

A stone is thrown vertically upward When the stone is at point A its distance from a certain point O is 6 5 m at t 0 and the component of velocity along OA is non zero When it is at point B OB 10 m the component of velocity along OB is zero When it is at point C OC 6m the component of velocity of the particle along OC is zero If the velocity of projection of the stone is vo 5 n ms then find the value of n 9

View in Englan A body starting from rest accelerates uniformly at the rate of 10 cm s2 and retards uniformly at the rate of 20 cm s Find the least time in which it can complete a journey of 5km the maximum velocity attained by the body is 72 km h 1 2 3 Correct Answer 1 Status unattempted 400 sec 500 sec 300 sec 800 sec 2

The current in a wire changes with time according to the law i sin The total charge in magnituc crossing through a cross section in the time interval t 0 to t 1 s is given by nlo o ve constant Find the value of n

A ball is thrown vertically upward from the roof of a building with a certain velocity It reaches the ground is 9 s When it is thrown downward from the roof with the same initial speed it takes 4 s to come at ground How much time in second will it take to reach at ground if it just released from the rest from the roof

rinceeduhub com ropulsive Daily Test Series opic A man of mass M stands at one end of a plank of length L which lies at rest on a frictionless surface The man walks to other end of the plank If the mass I M of the plank is then the distance that the man 1 moves relative to ground is UY 2 3 COM Collision and Momentum Conservation Evolution Human Health and Disease PHYSICS 4L XIII Target Course XI XII Foundation Course VII VIII IX X Pre Foundation Course 01 L 02 1 3 fait qui fut 3L M 3 4L 2014 ang at f M L4LA 2 P DTS 24 fo

A man is running up the inclined plane making an angle a from the horizontal with a constant velocity Rain is falling perpendicular to the incline plane During motion man observes that rain is falling in vertical direction when man doubles his velocity he observes that rain is making an angle a from the incline Value of a is D tan 1 2 A tan 0 B tan 2 C tan 1 2

25 A particle is moving eastwards with a velocity of 5 m s If in 10 s the velocity changes by 5 m s northwards what is the average acceleration in this time MP PMT 2011 1 m s North West 2 2 m s North West a 1 b m s North East d 2 m s North East

14 Velocity versus time graph of a particle is as shown Then acceleration of particle at t 2 sec and average velocity in time interval t 0 to t 10 sec will be VA 20 0 15 4 8 1 5 m sec 1 m sec 2 4 m sec2 2 m sec 3 3 m sec 2 m sec 4 5 m sec 3 m sec 10 t sec

24 A body is thrown vertically upward from a point A 125 m above the ground It goes up to a maximum height of 250 m above the ground and passes through A on its downward journey The velocity of the body when it is at a height of 70 m above the ground is Take g 10 ms 2 1 a 50 ms b 60 ms c 80 ms 1 EAMCET 201 d 20 ms 1

55 A body falling vertically downwards under gravity breaks in two parts of unequal masses The centre of mass of the two parts taken together shifts horizon tally towards 100 A heavier piece B lighter piece C does not shift horizontally D depends on the vertical velocity at the time of breaking