Collision of a Ball with a Cart

A cart filled with sand has a mass of m₁ = 100 kg and moves in a straight line on a horizontal surface at a constant velocity of v₁ = 1 m/s. Coming from the opposite direction, a ball of mass m₂ = 2 kg flies at v₂ = 70 m/s, strikes the cart, and embeds itself in the sand.

In which direction and at what speed will the cart move after the ball hits it? (Give a negative number if the velocity is in the direction of the ball.)

Final Answer:

v =  -0.3922 m/s

Step-by-step explanation:

m1=100 kg v1=1 m/s  m2=2 kg v2=70 m/s  m1 v1 + m2 v2 = (m1+m2)v v=m1+m2m1 v1+m2 v2=100+2100 1+2 (70)=5120 m/s=0.3922 m/s



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