A boy of mass m b and his girlfriend of mass m g , both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity v g toward the east. Assume that m b > m g . (a) Describe the subsequent motion of the boy. (b) Find expressions for the final kinetic energy of the girl and the final kinetic energy of the boy, and show that the girl has greater kinetic energy than the boy. (c) The boy and girl had zero kinetic energy before the boy pushed the girl, but ended up with kinetic energy after the event. How do you account for the appearance of mechanical energy?
A boy of mass m b and his girlfriend of mass m g , both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity v g toward the east. Assume that m b > m g . (a) Describe the subsequent motion of the boy. (b) Find expressions for the final kinetic energy of the girl and the final kinetic energy of the boy, and show that the girl has greater kinetic energy than the boy. (c) The boy and girl had zero kinetic energy before the boy pushed the girl, but ended up with kinetic energy after the event. How do you account for the appearance of mechanical energy?
Solution Summary: The author explains that the boy will move to the west direction with a speed of m_b.
A boy of mass mb and his girlfriend of mass mg, both wearing ice skates, face each other at rest while standing on a frictionless ice rink. The boy pushes the girl, giving her a velocity vg toward the east. Assume that mb > mg. (a) Describe the subsequent motion of the boy. (b) Find expressions for the final kinetic energy of the girl and the final kinetic energy of the boy, and show that the girl has greater kinetic energy than the boy. (c) The boy and girl had zero kinetic energy before the boy pushed the girl, but ended up with kinetic energy after the event. How do you account for the appearance of mechanical energy?
4
Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad,
the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec².
What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector
in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle
by observing a right triangle. (20 pts)
Ꮎ
2 m
Figure 3: Particle pushed by rod along vertical path.
4
Problem 4) A particle is being pushed up a smooth slot by a rod. At the instant when 0 = rad,
the angular speed of the arm is ė = 1 rad/sec, and the angular acceleration is = 2 rad/sec².
What is the net force acting on the 1 kg particle at this instant? Express your answer as a vector
in cylindrical coordinates. Hint: You can express the radial coordinate as a function of the angle
by observing a right triangle. (20 pts)
Ꮎ
2 m
Figure 3: Particle pushed by rod along vertical path.
please solve and answer the question correctly. Thank you!!
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