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Two skaters (A and B) are in contact with each other and start from rest on fric

ID: 1310796 • Letter: T

Question

Two skaters (A and B) are in contact with each other and start from rest on frictionless ice. They push off each other with skater A exerting a constant force on skater B while they remain in contact. The skaters then move apart and are no longer in contact. The mass of skater A is larger than the mass of skater B. Complete each statement with less than, greater than or equal to.


less than greater than equal to  When they no longer are in contact, the kinetic energy of skater A is ________ the kinetic energy of skater B.

less than greater than equal to  When they no longer are in contact, the magnitude of the momentum of skater B is ________ the magnitude of the momentum of skater A.

less than greater than equal to  While they are in contact, the magnitude of the force skater A exerts on skater B is ________ the magnitude of the force skater B exerts on skater A.

less than greater than equal to  While they are in contact, the magnitude of the acceleration of skater B is ________ the magnitude of the acceleration of skater A.

Explanation / Answer

The momentum of the two skaters would be the same,since no ecternal force is applied on the two skater system.

since mass of A > mass of B

they would have the same momentum, thus VA < VB  and Kinetic Energy of A < B.

Magnitude of accleration of skater B < acc of skater A, since mass of A> B and force is same.

While they are in contact the magnitue of the force exerted is same from the validity of newton's third law.

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