A 795-kg two-stage rocket is traveling at a speed of 6.10×10 3 m/s away from Ear

Question

A 795-kg two-stage rocket is traveling at a speed of 6.10×103 m/s away from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of 2.20×103 m/s relative to each other along the original line of motion.

Part A

What is the speed of each section (relative to Earth) after the explosion?

What are the direction of each section (relative to Earth) after the explosion?

What are the direction of each section (relative to Earth) after the explosion?

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Part C

How much energy was supplied by the explosion? [Hint: What is the change in kinetic energy as a result of the explosion?]

Express your answer to three significant figures and include the appropriate units.

A 795-kg two-stage rocket is traveling at a speed of 6.10×103 m/s away from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of 2.20×103 m/s relative to each other along the original line of motion.

Part A

What is the speed of each section (relative to Earth) after the explosion?

What are the direction of each section (relative to Earth) after the explosion?

What are the direction of each section (relative to Earth) after the explosion?

both away from Earth both towards the Earth one away from Earth and the other towards the Earth

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Part C

How much energy was supplied by the explosion? [Hint: What is the change in kinetic energy as a result of the explosion?]

Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

mv = m1v1+ m2v2

here given relative to each other means = v1- v2 = relativ to each other

m1 = m2 = m/2

795 * 6.1 x 10^3 = 795/2 * v1 + 795/2 * (v1+ 2.2 x 10^3)

v1 = 5000 m/s

v2 = 7200 m/s

both away from earth

part c )

KE = mv^2/2

dE = KEf - KEi

KEi = 795 * (6.1 x 10^3)^2/2

KEf = 795/2 * (5000)^2/2 + 795/2*(7200)^2/2

dE = 4.81 x 10^8 J

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