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QUESTION 2 The kinetic energy of a system Ksys may be found two ways 1) sum the

ID: 1582075 • Letter: Q

Question

QUESTION 2 The kinetic energy of a system Ksys may be found two ways 1) sum the kinetic energy K of each object in the system: Ksy® K,, or 2) sum the kinetic energy of the system's center of mass Kcm and the kinetic energy of each object in the system relative to the center of mass Krel: Ksys Kcm Krel True False QUESTION 3 The gravitational potential energy of a system Ug,sys may be found two ways: 1) Sum the gravitational potential energy of each object Ug,i in the center: Ug, sys- ug,i, or 2) Calculate the gravitational potential energy of the center of mass: Ug,sys MgyV cm True False

Explanation / Answer

Ans 2 )

1) True, as we can divide a continuous body into large no. of small particles. We know kinetic energy of continuous body then we assume body as a system, kinetic energy of system will be equal to sum of individual kinetic energy of particles. Like in ideal gas.

2) true.

we know velocity of center of mass of system then all particles of the system will have relative velocity with respect to velocity of center of mass. All particles are moving at some velocity relative to velocity of center of mass. So kinetic energy of system will be sum of kinetic energy of center of mass & relative kinetic energy of particles with respect to velocity of center of mass.

Ans3

1) False.

Potential energy of system will be sum of potential energy of all interacting pair of particles.

2) True

Gravitational potential energy of system will be equal to potential energy of center of mass. As center of mass can be treated as a point where all mass of object is concentrated. So gravitational potential energy must depend on position of center of mass.