Map spling Learning with a reduced, but still high, speed. As the bounces around

Question

Map spling Learning with a reduced, but still high, speed. As the bounces around inside the sack a few times, eventual bullet flies off into space, the astronaut remembers with dismay that it was a priceless Fortunately, the astronaut knows the initial speed vo of the bullet, and that the sack was initially at rest but after being hit was found to be maving with speed v, at angle 8, as shown in the diagram artifact In what direction should the astronaut pursue the bulet, assuming that he starts from the initial lacation of the sack, and what minimum speed must he go faster than in order to catch up with it? Use the numerical values given below, and enter the direction as an angle &, measured clockwise from the x-axis. m-0.0250 kg M-45.0 kg -1550 m/s ,0.315 m/s -248 before after Number Number m/s Previous Check Answer Next Hint about us careers privacy policy terms of use

Explanation / Answer

Using law of conservation of momentum,

M Vb = m Vb cos(theta) + M Vs cos(theta)s

M Vb cos(theta) = m VA - M Vs cos(theta)s ..... (1)

In y direction

M Vb sin(theta) b = M Vs sin(theta)s. .. ....(2)

Dividing 2 by 1

Tan(theta) = M Vs sin(theta)s/(m Vs - M Vs cos(theta)s

Tan(theta) = 0.23

Theta = 12.93 degree

B)

Vb = (M Vs sin(theta)s) /(m sin(theta) = 1062.26 m/s

Comment in case any doubt please rate my answer ....

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