Momentum: A satellite, initially at rest in deep space, separates into two pieces, which move away from each other. One piece has a mass of 190 kg and moves away with a speed 0.280 c, and the second piece moves in the opposite direction with a speed 0.600 c. What is the mass of the second piece?

Respuesta :

Answer:

m = 73.88 kg

Explanation:

total momentum = 0

P_1 +P_2 = 0

P_1 =P_2

WE KNOW THAT MOMENTUM IS GIVEN BY:

[tex]P_1 =\frac{mv_1}{\sqrt{1 -\frac{v_1^2}{c^2}}}

 [tex] =\frac{190*.280}{\sqrt{1 -\frac{0.280^2}{c^2}}}[/tex]

      = 55.41c

second momentum with light velocity

[tex]P_2 =- P_1[/tex]

[tex]\frac{mv_2}{\sqrt{1 -\frac{v_2^2}{c^2}}} = 55.41c[/tex]

[tex]mv_2 =5541c *\sqrt{1 -\frac{v_2^2}{c^2}[/tex]

[tex]m *0.600c = 55.41c *\sqrt{1 -\frac{0.600^2}{c^2}[/tex]

solving for m we get

m = - 73.88 kg

-ve show that second mass moves in opposite direction to first mass.

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