Kinetic energy is considered one the most difficult concept.
42 Questions around this concept.
An athlete of mass 50kg in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range
A particle is projected at 600 to the horizontal with a kinetic energy . The kinetic energy at the highest point
If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should
A ball whose kinetic energy is , is projected at an angle of to the horizontal. The kinetic energy of the ball at the highest point of its flight will be
Consider the following two statements
A Linear momentum of a system of particles is zero.
B Kinetic energy of a system of particles is zero.
Then
A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work (in Joule) done by the force of gravity during the time the particle goes up is :
A mass of M kg is suspended by a weightless string . The horizontal force that is required to displace it until the string making an angle of 45o with the initial vertical direction is
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to :
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that :
If the momentum of a body is increased by , then its kinetic energy increases by
Mechanical Energy-
Mechanical energy is the sum of potential energy and kinetic energy. It is the energy associated with the motion and
position of an object.
Kinetic energy
The energy possessed by a body by virtue of its motion is called kinetic energy.
E.g-Moving vehicle possesses kinetic energy.
Where
2. Kinetic Energy is always positive.
Kinetic energy depends on the frame of reference -
The kinetic energy of a person of mass m, sitting in a bus moving with speed v, is zero in the frame of the bus but it is equal to in the frame of the earth.
4. Work-energy theorem-
Net work done by all the forces acting on a particle is equal to change in its kinetic energy.
Where
This theorem is valid for a system in the presence of all types of forces (external or internal, conservative or non- conservative).
5. Relation of kinetic energy with linear momentum
….. (1)
and, P = mv or v=p/m ….. (2)
put this value of v in equation (1)
Put we get
Where
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