An object initially at rest explodes into three fragments A
An object initially at rest explodes into three fragments A,B and C. The momentum of A is piˆ and that of B is 3–√p jˆ where p is a + ve number. The momentum of C will be
20
Oct
An object initially at rest explodes into three fragments A,B and C. The momentum of A is piˆ and that of B is 3–√p jˆ where p is a + ve number. The momentum of C will be An object initially at rest explodes into three fragments A B and C. The momentum of A [...]
A railway flat car has an artillery gun installed on it. The combined system has a mass M and moves with a velocity V. The barrel of the gun makes an angle a with the horizontal. A shell of mass m leaves the barrel at a speed v relative to the barrel. The speed of the flat car so that it may stop after the firing is
21
Sep
A railway flat car has an artillery gun installed on it. The combined system has a mass M and moves with a velocity V. The barrel of the gun makes an angle a with the horizontal. A shell of mass m leaves the barrel at a speed v relative to the barrel. The speed of [...]
A ball of mass m is projected with a speed v into the barrel of a spring gun of mass M initially at rest lying on a frictionless surface. The mass sticks in the barrel at the point of maximum compression in the spring. The fraction of kinetic energy of the ball stored in the spring is
21
Sep
A ball of mass m is projected with a speed v into the barrel of a spring gun of mass M initially at rest lying on a frictionless surface. The mass sticks in the barrel at the point of maximum compression in the spring. The fraction of kinetic energy of the ball stored in the [...]
In a system of particles 8 kg mass is subjected to a force of 16 N along + ve x-axis and another 8 kg is subjected to a force of 8 N along + ve y-axis. The magnitude of acceleration of centre of mass and the angle made by it with x-axis are given respectively by
21
Sep
In a system of particles 8 kg mass is subjected to a force of 16 N along + ve x-axis and another 8 kg is subjected to a force of 8 N along + ve y-axis. The magnitude of acceleration of centre of mass and the angle made by it with x-axis are given respectively [...]
Two blocks of masses 5 kg and 2 kg are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of 14m/s to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are, respectively,
21
Sep
Two blocks of masses 5 kg and 2 kg are placed on a frictionless surface and connected by a spring. An external kick gives a velocity of 14m/s to the heavier block in the direction of lighter one. The magnitudes of velocities of two blocks in the centre of mass frame after the kick are, [...]
A man stands at one end of a boat which is stationary in water. Neglect water resistance. The man now moves to the other end of the boat and again becomes stationary. The centre of mass of the ‘man plus boat’ system will remain stationary with respect to water
21
Sep
A man stands at one end of a boat which is stationary in water. Neglect water resistance. The man now moves to the other end of the boat and again becomes stationary. The centre of mass of the ‘man plus boat’ system will remain stationary with respect to water An object initially at rest explodes [...]
Two men ‘A’ and ‘B’ are standing on a plank. ‘B’ is at the middle of the plank and ‘A’ is at the left end of the plank. Lower surface of the plank is smooth. System is initially at rest and masses are as shown in Fig. ‘A’ and ‘B’ start moving such that the position of ‘B’ remains fixed with respect to ground, then ‘A’ meets ‘B’. Then the point where A meets B is located at
21
Sep
Two men ‘A’ and ‘B’ are standing on a plank. ‘B’ is at the middle of the plank and ‘A’ is at the left end of the plank. Lower surface of the plank is smooth. System is initially at rest and masses are as shown in Fig. ‘A’ and ‘B’ start moving such that the [...]
A car of mass m is initially at rest on the boat of mass M tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity v0 in times to. At t=t0 the car applies brake and comes to rest relative to the boat in negligible time. Neglect friction between the boat and water: the time ‘t’ at which boat will strike the wall is
21
Sep
A car of mass m is initially at rest on the boat of mass M tied to the wall of dock through a massless, inextensible string. The car accelerates from rest to velocity v0 in times to. At t=t0 the car applies brake and comes to rest relative to the boat in negligible time. Neglect [...]
A block of mass M is tied to one end of a massless rope the other end of the rope is in the hands of a man of mass 2M as shown in the figure the block and the man are resting on a rough plank of mass M as shown in the figure the whole system is resting on a smooth horizontal surface the man pulls the rope pulley is massless and friction what is the displacement of the plank when the block meets the pulley ( Man does not leave his position on plank during the pull)
21
Sep
A block of mass M is tied to one end of a massless rope the other end of the rope is in the hands of a man of mass 2M as shown in the figure the block and the man are resting on a rough plank of mass M as shown in the figure the [...]
A particle of mass 2 m is projected at an angle of 45∘ with horizontal with a velocity of 202 root 2 m/s. After 1 s explosion takes place and the particle is broken into two equal pieces. As a result of explosion one part comes to rest. Find the maximum height attained by the other part. Take g = 10 m/s^2.
21
Sep
A particle of mass 2 m is projected at an angle of 45∘ with horizontal with a velocity of 202 root 2 m/s. After 1 s explosion takes place and the particle is broken into two equal pieces. As a result of explosion one part comes to rest. Find the maximum height attained by the [...]