Two carts (A and B), having spring bumpe...

Two carts (A and B), having spring bumpers, collide as shown. Cart A has a mass of 2 kg and is initially moving to the right. Cart B has a mass of 3 kg and is initially stationary. When the separation between the carts is a minimum :

cart B is still at rest

cart A has come to rest

both carts have the same kinetic energy

the kinetic energy of the system is at a minimum

Text Solution

Verified by Experts

The correct Answer is:

At minimum separation, velocity of A and B are same and the compression in spring is maximum. Hence kinetic energy of the system is minimum.

Topper's Solved these Questions

ENERGY & MOMENTUM
VMC MODULES ENGLISH|Exercise Level - 1 PARAGRAPH QUESTIONS|3 Videos
ENERGY & MOMENTUM
VMC MODULES ENGLISH|Exercise LEVEL - 2|48 Videos
ENERGY & MOMENTUM
VMC MODULES ENGLISH|Exercise LEVEL - 0 - LONG ANSWER TYPE|5 Videos
ELECTROSTATICS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|89 Videos
GASEOUS STATE & THERMODYNAMICS
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE )|111 Videos

Similar Questions

Explore conceptually related problems

A force F= 2t^2 is applied to the cart of mass 10 Kg, initially at rest. The speed of the cart at t = 5 s is -

Three blocks are initially placed as shown in the figure. Block A has mass m and initial velocity v to the right. Block B with mass m and block C with mass 4m are both initially at rest. Neglect friction. All collisions are elastic. The final velocity of blocks A is

A boy of mass 50 kg jumps with horizontal velocity of 1 m/s on to a stationary cart. If mass of the cart will be 5 kg[Assume friction between the wheels the cart and road is zero ]

A child of mass 4 kg jumps from cart B to cart A and then immediately back to cart B . The mass of each cart is 20 kg and they are initially at rest. In both the cases the child jumps at 6 m//s relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of V_(B) and V_(A) , respectively, find the ratio of 6V_(B) and 5v_(A) .

A horse has to pull a cart harder in the initial stange of his motion . Why ?

A ball is suspended from the top of a cart by a light string of length 1.0 m. The cart and the ball are initially moving to the right at constant speed V, as shown in figure I. The cart comes to rest after colliding and sticking to a fixed bumper, as in figure II. The suspended ball swings through a maximum angle 60°. The initial speed V is (take g = 10 m//s^(2) ) (neglect friction)

A ball of negligible size and mass m is given a velocity v_0 on the centre of the cart which has a mass M and is originally at rest. If the coefficient of restitution between the ball and walls A and B is e. Determine the velocity of the ball and the cart just after the ball strikes A. Also, determine the total time needed for the ball to strike A, rebound, then strike B, and rebound and then return to the centre of the cart. Neglect friction.

A man is standing on a cart of mass double the mass of man. Initially cart is at rest. Now, man jumps horiozontally with velocity u relative to cart. Then work done by man during the process of jumping will be

A ball is suspended from the top of a cart by a string of length 1.0m. The cart and the ball are initially moving to the right at constant speed V, as shown in figure I. The cart comes to rest after colliding and sticking to a fixed bumper, as in figure II. The suspended ball swings through a maximum angle 60^@ . The initial speed V is (take g=10(m)/(s^2) )

Two particles A and B of mass 3kg and 2kg moving with speed 10m//s and 5m//s as shown in figure. Kinetic energy of particle A when particle B has the maximum momentum

VMC MODULES ENGLISH-ENERGY & MOMENTUM-Level - 1

A particle of mass 15 kg has an initial velocity vecv(i) = hati - 2 ha...
Text Solution
|
A U-shaped wire has a semicircular bending between A and B as shown in...
Text Solution
|
Two carts (A and B), having spring bumpers, collide as shown. Cart A h...
Text Solution
|
An open water tight railway wagon of mass 5xx10^(3) kg coasts at initi...
Text Solution
|
A 64-kg woman stands on frictionless ice. She kicks a 0.10-kg stone ba...
Text Solution
|
A golf ball of mass m is hit by a golf club so that the ball leaves th...
Text Solution
|
A projectile is moving at 20 m s^(-1) at its highest point where it b...
Text Solution
|
A particle of mass m moving towards west with speed v collides with an...
Text Solution
|
Two particle A and B start moving due to their mutual interaction only...
Text Solution
|
a. A rail road car of mass M is moving without friction on a straight ...
Text Solution
|
A bullet hits a lock kept at rest on a smooth horizontal surface andge...
Text Solution
|
A nucleus moving with velocity bar(v) emits an alpha-particle. Let the...
Text Solution
|
A bullet of mass 0.01 kg and travelling at a speed of 500 ms^(-1) stri...
Text Solution
|
A block of mass m is pushed towards a movable wedge of mass 2 m and he...
Text Solution
|
Two blocks m(1) and m(2) are pulled on a smooth horizontal surface, an...
Text Solution
|
Blocks A and B are moving towards each other along the x axis. A has m...
Text Solution
|
A body of mass M moving with a speed u has a ‘head on’, perfectly elas...
Text Solution
|
The first ball of mass m moving with the velocity upsilon collides hea...
Text Solution
|
A ball A moving with momentum 2hati + 4hatj collides with identical ba...
Text Solution
|
In which of the following cases no work is done by the force?
Text Solution
|