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Q. 73

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 291

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Short Answer

A rocket in deep space has an empty mass of 150 kg and exhausts the hot gases of burned fuel at 2500 m/s. It is loaded with 600 kg of fuel, which it burns in 30 s. What is the rocket’s speed 10 s, 20 s, and 30 s after launch?

At t = 10s, speed is equal to 775.5 m/s

At t = 20s, speed is equal to 1905.3 m/s

At t = 30s, speed = vmax = 4023.5 m/s

See the step by step solution

Step by Step Solution

Step 1. Given information is Empty mass of Rocket mR = 150 kgMass of fuel mFO = 600 kgTime taken to burn the fuelExhaust speed vex = 2500 m/s

We need to calculate the rocket’s speed 10 s, 20 s, and 30 s after launch.

Step 2. Using the rate of burning fuel to find out the rocket's speed after launch.

Rate of burning fuel :

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