You are in outer space drifting to the right as shown in the picture. You happen

Question

You are in outer space drifting to the right as shown in the picture. You happen to be holding a heavy rock. There is also a stationary watermelon floating in space, and you are really craving fresh fruit You really wish to grab the watermelon and get back to your spaceship. Typically, this would be wishful thinking, but thankfully you have taken Physics 7B and know exactly what to do! The rock has a mass m. The mass of the watermelon is 2m, twice the mass of the rock. Your mass is 9m, nine times the mass of the rock. Below use momentum charts as part of your explanation, and show all steps in your calculations. You drift while holding the rock toward the watermelon with an initial speed of 1.2 m/s. When you reach the watermelon, you grab it Use a momentum chart to help you solve for your velocity after you grab the watermelon. (Note, the watermelon's and your position have the same y-value.) Once you have the watermelon, you throw the rock. After which, you are traveling while holding the watermelon toward the spaceship with velocity in the x-direction of v_x = -1.0 m/s and in the y-direction of v_y = -1.5 m/s. Use a momentum chart to help you calculate the speed of the rock after you threw it and the angle its velocity makes with the x-axis.

Explanation / Answer

1)

conserving momentu m

10m x 1.2 = 12m x V

V = 1m/sec

2)

conserving momentum in x direction

12m x 1 = 11mx -1.1 + m x V1x

V1x = 24.1m/sec

conserving in vertical direction

0 = -1.5 x 11m + m x V1y

V1y = 16.5 m/sec

speed

V1 = 29.2 m/sec

theta = 34.4 degree

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