Class 11 Exam > Class 11 Notes > MCQ: Centre of mass and collision, Class 11 - Physics
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Correct ans. d) 7.5R
Since there is no external force acting on the system of two masses M and 5M. Thus the centre of mass of the system will remain unaltered.
Considering mass M to be initially at the origin, The CM will be
X = (0×M + 5M×12R)/(5M+M)
=> X = 10R
Thus CM is at a distance 10R which remains unchanged before and after collision.
At collision the centre of the spherical masses will be 3R apart from each other
Now let the collision take place at a distance x from the origin
FAQs on MCQ: Centre of mass and collision, Class 11 - Physics
| 1. What is the center of mass in physics? |  |
Ans. The center of mass in physics is the point at which the mass of an object is considered to be concentrated. It is the average position of all the particles that make up the object.
| 2. How is the center of mass calculated? | |
Ans. The center of mass can be calculated by taking the weighted average of the positions of all the particles in an object, where the weights are the masses of the particles. The formula for calculating the center of mass is:
Center of mass = (m1r1 + m2r2 + m3r3 + ... + mnrn) / (m1 + m2 + m3 + ... + mn)
Here, m1, m2, m3, etc. are the masses of the particles and r1, r2, r3, etc. are their respective positions.
| 3. What is a collision in physics? | |
Ans. In physics, a collision refers to the interaction between two or more objects that results in a change in their velocities. Collisions can be classified into two types: elastic collisions, where kinetic energy is conserved, and inelastic collisions, where kinetic energy is not conserved.
| 4. How is momentum conserved in a collision? | |
Ans. According to the law of conservation of momentum, the total momentum of a system of objects remains constant before and after a collision, provided that no external forces are acting on the system. This means that the sum of the momenta of the objects before the collision is equal to the sum of the momenta after the collision.
| 5. What is the difference between elastic and inelastic collisions? | |
Ans. In an elastic collision, both momentum and kinetic energy are conserved. This means that the total momentum and the total kinetic energy of the system remain constant before and after the collision. In an inelastic collision, only momentum is conserved, while kinetic energy may not be conserved. Some of the kinetic energy may be converted into other forms, such as heat or sound, during an inelastic collision.
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