A rocket burns 50g of fuel per second ejecting it as a gas with a velocity of `5 xx 10 cm s^(-1)`. What force is exerted by the gas on the rocket?

Explanation

To solve the problem, we will use the principle of momentum and Newton's second law of motion. Here’s a step-by-step solution:

### Step 1: Understand the problem
We have a rocket that burns fuel at a rate of 50 grams per second, ejecting it as gas with a velocity of \(5 \times 10^5 \, \text{cm/s}\). We need to find the force exerted by the gas on the rocket.

### Step 2: Convert units (if necessary)
Since we are dealing with grams and centimeters, we will keep our calculations in these units. The mass flow rate (\(\frac{dm}{dt}\)) is given as 50 g/s, and the velocity (\(v\)) is given as \(5 \times 10^5 \, \text{cm/s}\).

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