NEET Physics System of Particles and Rotational Motion Class 11 Questions

Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligible mass. The centre of mass of the system from the 5 kg particle is nearly at a distance of:

The force 7î + 3ĵ − 5k̂ acts on a particle whose position vector is î − ĵ + k̂. What is the torque of a given force about the origin?

A uniform rod AB of length l and mass m is free to rotate about point A. The rod is released from rest in horizontal position. Given that the moment of inertia of the rod about A is ml²/3 the initial angular acceleration of the rod will be

What happens to the bob's motion if the connecting string is cut at point C?

What does the work-energy theorem state about the relationship between kinetic energy and work done by a force?

What is conserved in all collisions, according to the laws of physics?

What is the condition for two vectors A and B to be perpendicular?

In an elastic collision between two equal masses, what is the relationship between their velocities after the collision if one mass is initially at rest?

What does the work-energy theorem state regarding the work done by a variable force?

In a perfectly elastic collision between two objects of equal mass, what is conserved aside from momentum?

In the context of angular momentum during a collision, what must be known to solve the equations for the final velocities and angles of two colliding objects?

What is the relationship between gravitational potential energy and kinetic energy when an object is released from a height h?

What is the condition for two vectors A and B to be considered perpendicular?

What is the sign of work done by gravitational force when a bucket is lifted out of a well?

What is the result when two equal masses undergo a glancing elastic collision with one of them at rest?

What is the characteristic of the work done by a spring force during a complete cyclic process?

The work done by a frictional force on a moving body is typically characterized as what type of quantity?

In a perfectly elastic collision, which of the following quantities is conserved?

What condition must be satisfied for the total linear momentum of a system to be conserved during a collision?

Which of the following statements regarding work and energy in a system of particles is correct?

Which of the following statements about mechanical energy in a system of particles is correct?

Which of the following statements regarding the relationship between work, energy, and force is correct?

Which of the following statements about conservative forces and mechanical energy is correct?

Which of the following statements about the relationship between work done and kinetic energy is correct?

Which of the following statements about work and gravitational forces is correct?

Which of the following statements about the center of mass in a system of particles is correct?

Which of the following statements about elastic collisions and the motion of particles is correct?

Which of the following combinations about work done in different scenarios are correct?

Which of the following statements about gravitational potential energy and kinetic energy is correct?

Which of the following combinations of statements regarding work done by forces is correct?

Assertion (A): The dot product of two vectors is always a scalar quantity.

Reason (R): The scalar product of vectors follows the commutative law.

Assertion (A): The dot product of two vectors is a scalar quantity.

Reason (R): The dot product of vectors follows the commutative law.

Assertion (A): The scalar product of two vectors is a scalar quantity.

Reason (R): The scalar product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them.

Assertion (A): The work done by the gravitational force on the moon as it orbits the Earth is zero.

Reason (R): The gravitational force acts perpendicular to the moon's instantaneous displacement.

Assertion (A): The center of mass of an isolated system of particles moves with a constant velocity.

Reason (R): The external force acting on the system is zero.

Assertion (A): The total linear momentum of a system is conserved during a collision.

Reason (R): The forces between the colliding objects are equal and opposite according to Newton's third law.

Assertion (A): The work done by gravitational force on the Moon due to the Earth is zero.

Reason (R): The Earth's gravitational force on the Moon is perpendicular to the Moon's instantaneous displacement during its orbit.

Assertion (A): The work done by a variable force can be expressed as the area under the force-displacement curve.

Reason (R): The scalar product of two vectors is a scalar quantity.

Assertion (A): When a spring is compressed by a certain amount, the work done on the spring is equal to the area under the force versus displacement curve.

Reason (R): The work done by a varying force can be expressed as a definite integral over displacement.

Assertion (A): The work-energy theorem applies to both constant and variable forces.

Reason (R): The work-energy theorem is an integral form of Newton's second law.

Assertion (A): The work done by a conservative force depends only on the initial and final positions of the object.

Reason (R): The work done by a conservative force can be expressed as the negative of the difference in potential energy between the initial and final positions.

Assertion (A): In a perfectly circular orbit, the gravitational force does no work on the orbiting body.

Reason (R): The force is always perpendicular to the direction of displacement in a circular orbit.

Assertion (A): The work-energy theorem is an integral form of Newton’s second law.

Reason (R): The work-energy theorem involves an integral over an interval of time, relating to force and displacement.

Match Column-I with Column-II.

Match Column-I with Column-II.

Match Column-I with Column-II.

Match Column-I with Column-II.

Match Column-I with Column-II.

Match Column-I with Column-II.

If a ball is dropped from height H and reaches a speed v_f at ground level, what is the relation between v_f and H?