If the velocity of an object is doubled and its mass is halved, which of the...
If the velocity of an object is doubled and its mass is halved, which of the following statements is true about the object? Select one: a. Its momentum is halved; its kinetic energy doubles. b. Its momentum stays the same; its kinetic energy doubles. c. Its momentum is halved; its kinetic energy quadruples. d. Its momentum is halved; its kinetic energy is also halved.
Homework Answers
Option b is correct.
Its momentum stays the same; its kinetic energy doubles.
Kinetic Energy,K = (1/2)*m*v^2
Momentum,P = m*v
If velocity is doubled and mass is halved,
Kinetic Energy = (1/2)*(m/2)*(2v)^2 = 2K
Momentum = (m/2)*(2v) = P
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