Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions)
In figure a man stands on a boat floating in still water. The mass of the man and the boat is 60 kg and 120 kg, respectively. a. If the man walks to the front of the boat and stops. what is the separation between the boat and the pier now? b. If the man moves at a constant speed of 3m/s relative to the boat, what is the total kinetic energy of the system (boat + man)? Compare this energy with the kinetic energy of the system if the boat was tied to the pier.
20
Sep
In figure a man stands on a boat floating in still water. The mass of the man and the boat is 60 kg and 120 kg, respectively. a. If the man walks to the front of the boat and stops. what is the separation between the boat and the pier now? b. If the man [...]
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In figure a man stands on a boat floating in still water. The mass of the man and the boat is 60 kg and 120 kg ,
respectively. a. If the man walks to the front of the boat and stops. what is the separation between the boat and the pier now? b. If the man moves at a constant speed of 3m/s relative to the boat ,
what is the total kinetic energy of the system (boat + man)? Compare this energy with the kinetic energy of the system if the boat was tied to the pier. ,
The block A and B of masses m and 3 m are connected by an ideal spring of force constant K. Now both the blocks are given impluse in direction so that they started moving with velocities v0 and 3 v0 as shown in the figure. Find the maximum stretch of spring.
20
Sep
The block A and B of masses m and 3 m are connected by an ideal spring of force constant K. Now both the blocks are given impluse in direction so that they started moving with velocities v0 and 3 v0 as shown in the figure. Find the maximum stretch of spring. Two identical buggies [...]
Figure shows a block A of mass 9 m having a smooth semicircular groove of radius a placed on a smooth horizontal surface. A block B of mass m is released from a position in groove where its radius is horizontal. Find the speed of the bigger block when the smaller block reaches its bottom most position.
20
Sep
Figure shows a block A of mass 9 m having a smooth semicircular groove of radius a placed on a smooth horizontal surface. A block B of mass m is released from a position in groove where its radius is horizontal. Find the speed of the bigger block when the smaller block reaches its bottom [...]
Two ring of mass m and 2 m are connected with a light sppring and can slide over two frictionless parallel horizontal rails as shown in figure. Ring of mass m is given velocity v0 in horizontal direction as shown. Calculate the maximum stretch in spring during subsequent motion.
20
Sep
Two ring of mass m and 2 m are connected with a light sppring and can slide over two frictionless parallel horizontal rails as shown in figure. Ring of mass m is given velocity v0 in horizontal direction as shown. Calculate the maximum stretch in spring during subsequent motion. Two identical buggies 1 and 2 [...]
A small block of mass m is projected on a long plank of mass 3 m with velocity v0 as shown in figure. Find the work done by friction when slipping stops.
20
Sep
A small block of mass m is projected on a long plank of mass 3 m with velocity v0 as shown in figure. Find the work done by friction when slipping stops. A small block of mass m is projected on a long plank of mass 3 m with velocity v0 as shown in figure. [...]
Two identical buggies 1 and 2 with one man in each move along parallel rails. When the buggies are opposite to each other, the men jump in a direction perpendicular to the direction of motion of buggies, so as to exchange their places. As a consequence, buggy 1 stops and buggy 2 keeps moving in the same direction with its final velocity v. Find the initial velocities v1 and v2 of buggies. Mass of each buggy (without man) equals M mass of each man is ignore frictional effects anywhere and the buggies are constrained to move along the rails only.
20
Sep
Two identical buggies 1 and 2 with one man in each move along parallel rails. When the buggies are opposite to each other, the men jump in a direction perpendicular to the direction of motion of buggies, so as to exchange their places. As a consequence, buggy 1 stops and buggy 2 keeps moving in [...]
Two blocks A and B of mass m and 2 m respectively are connected by a light spring of force constant K. They are placed on a smooth horizontal surface . spring is stretched by a length x and then released. Find the releative velocity of the blocks when the spring comes to its natural length.
20
Sep
Two blocks A and B of mass m and 2 m respectively are connected by a light spring of force constant K. They are placed on a smooth horizontal surface . spring is stretched by a length x and then released. Find the releative velocity of the blocks when the spring comes to its natural [...]
Two blocks of masses m and 2 m are connected by an ideal spring . the system is placed on smooth horizontal surface. The blocks are giiven impluse so that the blocks start moving as shown in figure. In this blocks system , find the (a) KE of centre of mass (b) KE of system w.r.t. centre of mass
20
Sep
Two blocks of masses m and 2 m are connected by an ideal spring . the system is placed on smooth horizontal surface. The blocks are giiven impluse so that the blocks start moving as shown in figure. In this blocks system , find the (a) KE of centre of mass (b) KE of system [...]
a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially, a man of mass m is standing on the car which is moving to the right with speed v0. What is the change in velocity of the car if the man runs to the left so that his speed relative to the car is vrel just before he jumps off at the left end? b. If there are n men each of mass m on the car, should they all run and jump off together or should they run and jump one by one in order to give a greater velocity to the car?
20
Sep
a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially, a man of mass m is standing on the car which is moving to the right with speed v0. What is the change in velocity of the car if the man runs to the left [...]
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a. A rail road flat car of mass M can roll without friction along a straight horizontal track . Initially ,
but afterward you have some momentum. Is the principle of conservation of momentum violated in this case ? ,
You are standing perfectly still and then you take a step forward. Before the step your momentum was zero ,
Two trolleys A and B are free to move on a level frictionless track, and are initially stationary. A man on trolley A throws a bag of mass 10kg with a horizontal velocity of 4ms−1 with respect to himself on to trolley B of mass 100kg. The combined mass of trolley A (excluding bag) and the man is 140km. Find the ratio of velocities of trolleys A and B, just after the bag lands on trolley B.
20
Sep
Two trolleys A and B are free to move on a level frictionless track, and are initially stationary. A man on trolley A throws a bag of mass 10kg with a horizontal velocity of 4ms−1 with respect to himself on to trolley B of mass 100kg. The combined mass of trolley A (excluding bag) and [...]