A baseball with mass 0.145 kg is moving in the+y direction with a speed of 2.10m/s, and a tennis ball with mass 0.0570 kg is moving in the-y direction with a speed of 8.80m/s. What is the magnitude of the total momentum of the systemconsisting of the two balls? What is the direction of the total momentum of thesystem?

a. + x direction

b. + ydirection

c. - x direction

d. - y direction

d. - y direction

Explanation:

Given that

m₁=0.145 kg, u₁=2.1 j m/s

m₂ = 0.0570 kg, u₂ = - 8.8 j m/s

We know that linear momentum is the product of mass and velocity

P = Mass x velocity

Therefore the total linear momentum P

P = m₁u₁ + m₂u₂

Now by putting the values

P = 0.145 x (2.1 j) + 0.057 ( - 8.8 j) kg. m/s

P = 0.3045 j - 0.5016 j kg. m/s

P = - 0.1971 j kg. m/s

P = 0.1971 ( - j) kg. m/s

So we can say that the direction of the liner momentum of the system will be in the negative y - direction.

d. - y direction