Author: Physics Notebook
-
A Mass ‘m1’ Travelling With Speed Speed ‘u’ On A Horizontal Plane Hits Another Mass ‘m2’ Which Is At Rest. If The Coefficient Of Restitution Is ‘e’, Calculate The Loss Of Kinetic Energy.
—
by
Ans. On a horizontal plane, a mass hits another mass . and zero are the velocities of the masses and respectively. Let, and be their respective velocities after collision. According to the conservation of linear momentum, If be the coefficient of restitution, then After collision, the loss of kinetic energy is Total kinetic energy before…
-
A Neutron Of Mass ‘m’ Undergoes An Elastic Head-On Collision Nucleus Of Mass ‘M’, Initially At Rest, By What Function Is The Kinetic Energy Of The Neutron Reduced?
—
by
Ans. Mass of the neutron is , and the mass of the nucleus is . Let us consider be the velocity of the neutron, and the velocity of the nucleus before collision is zero, i.e., Let , and be the velocities of the neutron and nucleus respectively after collision. Since the collision is elastic head-on…
-
A Particle Of Mass ‘m’ Moving With Velocity ‘V’ Collides Head-On With Another Particle Of Mass ‘2m’, Which Was At Rest. If The Collision Is Perfectly Inelastic, Find Out The Velocity Of The Composite Particle.
—
by
Ans. A particle of mass collides head-on with another particle of mass . The velocity of the particle of mass is , and the velocity of the particle of mass is zero. The collision is perfectly inelastic. after collision the two bodies together behave like one body, so the velocity after collision of the two…
-
A Particle Of Mass m1 Moving With Velocity u1 Collides Head-On Collision With A Particle Of Mass m2 Moving With Velocity u2. If ‘e’ Be The Coefficient Of Restitution, Then Calculate The Loss Of The Kinetic Energy As A Result Of The Collision.
—
by
Ans. A particle of mass moving with velocity collides head-on collision with the particle of mass moving with the velocity . Let us consider and be the velocities of mass and respectively. According to the conservation of linear momentum, If be the coefficient of restitution, then The loss of kinetic energy due to the impact…
-
If A Particle Collides Head On Perfectly Elastic Collision With A Particle Of Same Mass At Rest, Then Show That The Two Particles Exchange Their Velocities.
—
by
Ans. Let us consider a particle of mass moving with velocity collides head-on with a particle of same mass which is at rest, . Let and be their respective velocities after collision. Since the collision is perfectly elastic collision, According to the conservation of linear momentum, or, , since or, or, According to the conservation…
-
A Particle Of Mass m1 Moving With Velocity u1 Collides Head On With A Particle Of Mass m2 At Rest Such That After Collision They Travel With Velocities v1 And v2 Respectively. If The Collision Is Perfectly Elastic One, Show That v2=(2.m1.u1)/(m1+m2).
—
by
Ans. The particle of mass collides head on with the particles of mass . The velocities of particles and before collision are and respectively. After collision their respective velocities are and . Since the collision is perfectly elastic, So according to the conservation of momentum we get or, or, And according to the conservation of…
-
Calculate The Time Period Of Oscillation Of A Solid Cylinder Of Length ‘l’ And Radius ‘r’ About An Axis Perpendicular To Its Axis Of Symmetry And At A Distance ‘d’ From Its Centre Of Mass, Also Calculate The Minimum Time Period.
—
by
Ans. Let us consider a solid circular cylinder of radius , length and mass . If be the moment of inertia of the solid cylinder about an axis passing through the centre of gravity and parallel to the axis of suspension through the centre of suspension , as shown in the Fig. 1, then […
-
A Rectangular Plate Having Edges Of Lengths ‘a’ And ‘b’ Respectively, Hangs Vertically From The Edge Of Length ‘a’. (i) Find The Time Period For Small Oscillations And (ii) The Length Of The Equivalent Simple Pendulum.
—
by
Ans. Let us consider a rectangular plate having edges of lengths and respectively. This rectangular plate hangs vertically from the edge of length . Let be the total mass of the rectangular plate and be the centre of gravity of the plate. (i) Time period for small oscillation: Let be the moment of inertia of…
-
A Uniform Solid Sphere Of Radius ‘a’ And Mass ‘M’ Is Suspended Vertically Downward From A Point On Its Surface. (i) Find The Time Period For Small Oscillation, And (ii) The Length Of The Equivalent Simple Pendulum.
—
by
Ans. Let us consider a uniform solid sphere of radius and of mass is suspended vertically downward a from a point on its surface. G is the centre of gravity of the sphere. (i) Time period for small oscillation: If be the moment of inertia of this sphere about an axis passing through the point…
-
What Is The Distance Between The Centre Of The Suspension And Centre Of Oscillation Of A Uniform Cylindrical Metal Bar Used As A Second Pendulum.
—
by
Ans. If L be the distance between the centre of suspension and centre of oscillation of the compound pendulum then the time period of oscillation of the compound pendulum is where, is the acceleration due to gravity. For a second pendulum the time period of oscillation is 2 sec. therefore, or, or, cm or, cm