You are working for the Defenders of Wildlife on the protection of the bald eagl

Question

You are working for the Defenders of Wildlife on the protection of the bald eagle, an endangered species. Aardman Animations has agreed to help your cause by producing an animated movie about the bald eagle. You have set up a dramatic scene in which a young rabbit is frightened by the shadow of the eagle and starts bounding toward the east at 30 m/s as the Eagle swoops down vertically at a speed of 15 m/s. A moment before the eagle contacts the rabbit, it (the rabbit) leaps off a cliff and is captured in mid-air. The animators want to know how to portray what happens just after the capture. If the eagle has a mass of 2.5 kg and the rabbit has a mass of 0.8 kg what is the velocity of the eagle with the rabbit in its talons just after the capture? Hint: You need to specify the speed and direction of the eagle-rabbit system. Include a diagram of the situation before and after the capture with vectors showing the velocities.

Explanation / Answer

Here ,

let the downwards is +ve y -direction

direction to the right is +ve x direction

let the final velocity is v

Using conservation of momentum

2.5 * 15 j + 30 * 0.8 i = v *(2.5 + 0.8)

v = 11.4 j + 7.27 i m/s

v = sqrt(11.4^2 + 7.27^2) at arctan(7.27/11.4) degree

v = 13.52 m/s at 32.5 degree

the speed v2 is 13.52 m/s

the angle theta is 32.5 degree

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