Question

While launching a rocket of mass 5×104 kg, a force of 5×105 N is applied for 15 seconds. What is the velocity of the rocket at the end of 15th second?

A. 0 m/s
B. 5 m/s
C. 15 m/s
D. 150 m/s

Answer 1

To find the velocity of the rocket, we can use the equation: Velocity = Initial velocity + Acceleration x Time. By using Newton's second law of motion, we can calculate the acceleration of the rocket. Plugging in the given values and solving the formula, we find that the velocity of the rocket at the end of the 15th second is 150 m/s.

Step-by-step explanation:

To find the velocity of the rocket at the end of the 15th second, we can use the formula:

Velocity = Initial velocity + Acceleration x Time

Since the force applied to the rocket is equal to the mass of the rocket multiplied by its acceleration, we can use Newton's second law of motion to find the acceleration:

Force = Mass x Acceleration

Rearranging the formula, we get:

Acceleration = Force / Mass

Plugging in the given values, we have:

Acceleration = 5 × 10^5 N / 5 × 10^4 kg

Acceleration = 10 m/s^2

Now we can substitute the values into the first equation to find the velocity:

Velocity = 0 + 10 m/s^2 x 15 s

Velocity = 150 m/s

Therefore, the velocity of the rocket at the end of the 15th second is 150 m/s.