Two air track carts move toward one another on an air track.Cart 1 has a mass of
ID: 1722597 • Letter: T
Question
Two air track carts move toward one another on an air track.Cart 1 has a mass of 0.55 kg and a speed of0.8 m/s. Cart 2 has a mass of 0.73 kg.(a) What speed must cart 2 have if the total momentum of the systemis to be zero? (b) Since the momentum of the system is zero, does it followthat the kinetic energy of the system is also zero?
(c) Verify your answer to part (b) by calculating the system'skinetic energy.
Two air track carts move toward one another on an air track.Cart 1 has a mass of 0.55 kg and a speed of0.8 m/s. Cart 2 has a mass of 0.73 kg.
(a) What speed must cart 2 have if the total momentum of the systemis to be zero? (b) Since the momentum of the system is zero, does it followthat the kinetic energy of the system is also zero?
(c) Verify your answer to part (b) by calculating the system'skinetic energy.
(b) Since the momentum of the system is zero, does it followthat the kinetic energy of the system is also zero?
(c) Verify your answer to part (b) by calculating the system'skinetic energy.
Explanation / Answer
Two air track carts move toward one another on an air track.Cart 1 has a mass of 0.55 kg and a speed of0.8 m/s. Cart 2 has a mass of 0.73 kg.(a) What speed must cart 2 have if the total momentum of the systemis to be zero?
0.55*0.8=0.73v
so v=0.602739726m/sec
(b) Since the momentum of the system is zero, does it followthat the kinetic energy of the system is also zero?
no because kinetic energy isscalar.
(c) Verify your answer to part (b) by calculating the system'skinetic energy.
total kinetic energy=1/2(0.55*0.8*.8+0.73*0.6027*0.6027)=0.48455J
(b) Since the momentum of the system is zero, does it followthat the kinetic energy of the system is also zero?
no because kinetic energy isscalar.
(c) Verify your answer to part (b) by calculating the system'skinetic energy.
total kinetic energy=1/2(0.55*0.8*.8+0.73*0.6027*0.6027)=0.48455J