# [SOLVED] Find the direction and magnitude of the owner’s velocity?

Find the direction and magnitude of the owner’s velocity?

A 29.0kg dog is running northward at 2.15m/s , while a 7.25kg cat is running eastward at 3.57m/s . Their 75.4kg owner has the same momentum as the two pets taken together.

Find the direction and magnitude of the owner’s velocity.

This is the best answer for Find the direction and magnitude of the owner’s velocity?

P1 = momentum of dog = 29*2.15 = 62.35 Ns

P2 = momentum of cat = 7.25 * 3.57= 25.8825 Ns

Resultant P = sqrt(P1² + P2 ²) = 67.50 Direction = Tan⁻¹ (P1/P2) = 67.45° with east

Owner’s velocity = P/m owner = 67.50/74=0.9122 m/s , Direction 67.45 °with west

i.e opposite to P

So, we have..

P(dog) = 29.0 * 2.15 = 62.35 kg m/s

P(cat) = 7.25 * 3.57 = 25.88 kg m/s

P(owner) = 75.4 v = 62.35 + 25.88

v = 1.17 m/s

The direction is

arc tan (2.15 / 3.57) = 31 degrees north of east.

This is the correct answer for A 29.0kg dog is running northward at 2.15m/s , while a 7.25kg cat is running eastward at 3.57m/s . Their 75.4kg owner has the same momentum as the two pets taken together.