Answer:
M = 49.4kgm/s (towards the left)
Explanation:
Momentum is the product of mass and velocity of an object
Momentum = mass * velocity
Momentum of Object 1 with mass 1.66 kg moving to the right at 11.2 m/s, is expressed as:
M1 = 1.66 * 11.2
M1 = 18.592kgm/s
Momentum of Object 2 with mass 6.59 kg moving to the left at 10.4 m/s is expressed as:
M2 = 6.59 * -10.4
M2 = -68.536kgm/s (negative since it is moving towards the left)
The total momentum will be the sum of momentum along the x-component as shown:
M = M1+M2
M = 18.592kgm/s--68.536kgm/s
M = -49.944kgm/s
M = 49.4kgm/s (towards the left)