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.
Answer:
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.