Question

A mass m1 traveling to the right with a speed v1 makes a glancing collision with a mass
m₂ initially at rest. After the collision the masses have speeds v1

Answer 1

Consider an inelastic collision between a 1 Kg cart moving to the right at 2 m/s and a 2 Kg cart moving to the left at 4 m/s. What is the speed and direction of the 2 carts after they have stuck together? A mass m1 traveling to the right with a speed V1 makes a glancing collision with a mass m2 initially at rest. After the collision the masses have speeds V1 and v2 and move in directions theta1 and theta2, as shown below. Determine the velocity of m2 after collision (i.e. find v2')

2) V = m1*u1 - m2*u2/(m1+m2) = ((1*2)-(2*4))/(1+2) = 2 m/s left

3)
along x axis

m1*v1 + m2*v2 = m1*v1'*cos30 + m2*v2'*costheta2

1*5 + 2*0 = 1*3*cos30 + 2*v2'*costheta2

v2'*costheta2 = 0.962
along y axis

0 = m1*v1'*sin30 - m2*v2'*sintheta2


0 = 1*3*sin30 - 2*v2'*sintheta2

v2'*sintheta2 = 0.75

v2 = sqrt(v2'*costheta2^2 + v2'*sintheta2^2) = 1.22m/s