Two astronauts on opposite ends of a spaceship are comparing lunches. one has an apple, the other has an orange. they decide to trade. astronaut 1 tosses the 0.110 kg apple toward astronaut 2 with a speed of vi,1 = 1.13 m/s . the 0.150 kg orange is tossed from astronaut 2 to astronaut 1 with a speed of 1.25 m/s . unfortunately, the fruits collide, sending the orange off with a speed of 0.977 m/s in the negative y direction.

The speed and direction of the apple is 1.448 m/s and 66.65°.

Explanation:

Given that,

Mass of apple = 0.110 kg

Speed = 1.13 m/s

Mass of orange = 0.150 kg

Speed = 1.25 m/s

Suppose we find the final speed and direction of the apple in this case

Using conservation of momentum:

Before:

In x direction,

In y direction = 0

After:

is velocity of the apple in the y direction

is the velocity of the apple in the x direction

Momentum again:

In x direction,

In y-direction,

We need to calculate the speed of apple

Put the value into the formula

We need to calculate the direction of the apple

Using formula of angle

Put the value into the formula

Hence, The speed and direction of the apple is 1.448 m/s and 66.65°.

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explanation:

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