Advertisements
Advertisements
Question
Answer the following question.
State the law of conservation of linear momentum. It is a consequence of which law? Give an example from our daily life for the conservation of momentum. Does it hold good during the burst of a cracker?
Solution
- Statement: The total momentum of an isolated system is conserved during any interaction.
- The law of conservation of linear momentum is a consequence of Newton’s second law of motion. (in combination with Newton’s third law)
- Example: When a nail is driven into a wall by striking it with a hammer, the hammer is seen to rebound after striking the nail. This is because the hammer imparts a certain amount of momentum to the nail and the nail imparts an equal and opposite amount of momentum to the hammer.
Linear momentum conservation during the burst of a cracker:
- The law of conservation of linear momentum holds good during the bursting of a cracker.
- When a cracker is at rest before the explosion, the linear momentum of the cracker is zero.
- When the cracker explodes into number of pieces, scattered in different directions, the vector sum of the linear momentum of these pieces is also zero. This is as per the law of conservation of linear momentum.
APPEARS IN
RELATED QUESTIONS
Solve the following problem.
A lighter object A and a heavier object B are initially at rest. Both are imparted with the same linear momentum. Which will start with greater kinetic energy: A or B or both will start with the same energy?
Solve the following problem.
The figure below shows a block of mass 35 kg resting on a table. The table is so rough that it offers a self-adjusting resistive force 10% of the weight of the block for its sliding motion along with the table. A 20 kg wt load is attached to the block and is passed over a pulley to hang freely on the left side. On the right side, there is a 2 kg wt pan attached to the block and hung freely. Weights of 1 kg wt each, can be added to the pan. Minimum how many and maximum how many such weights can be added into the pan so that the block does not slide along the table?
Ten identical masses (m each) are connected one below the other with 10 strings. Holding the topmost string, the system is accelerated upwards with acceleration g/2. What is the tension in the 6th string from the top (Topmost string being the first string)?
A bullet of mass m moving with velocity v is fired into a wooden block of mass M, If the bullet remains embedded in the block, the final velocity of the system is ____________.
Two masses M1 and M2 are accelerated uniformly on frictionless surface as shown in the figure. The ratio of the tensions `"T"_1/"T"_2` is ______.
If bullet of mass 'm1' is fired from a gun of mass 'm2' with a speed of 'V1', then the recoil velocity of gun is ______.
A body of mass 'M' moving with velocity 'V' explodes into two equal parts. If one part comes to rest and the other part moves with velocity 'v0'. What would be the value of 'v0'?
The motion of a rocket in upward direction with high speed is based on the principle of conservation of ______.
