Question

A rocket with a mass of 10,000 kilograms is propelled upward with 8,000,000 joules of kinetic energy. What is the velocity of the rocket in meters per second?

Answer 1

Using the kinetic energy formula, the velocity of a rocket with a mass of 10,000 kilograms and 8,000,000 joules of kinetic energy is calculated to be 40 meters per second.

To determine the velocity of a rocket with a known mass and kinetic energy, we can use the kinetic energy formula:

K = ½ mv²

Where K is the kinetic energy, m is the mass, and v is the velocity. We can solve for v by rearranging the formula:

v = √(2K/m)

Given that the kinetic energy (K) is 8,000,000 joules and the mass (m) of the rocket is 10,000 kilograms, we can calculate the velocity (v) as follows:

v = √(2×8,000,000 J / 10,000 kg)

v = √(1,600 m²/s²)

v = 40 m/s

Therefore, the velocity of the rocket is 40 meters per second.

Answer 2

The velocity of the rocket is 40 meters per second.

To find the velocity of the rocket, we can use the formula for kinetic energy:

`Kinetic Energy = 0.5 * mass * velocity^2`

Given that the rocket has a mass of 10,000 kilograms and 8,000,000 joules of kinetic energy, we can rearrange the formula to solve for velocity:

`Velocity = sqrt((2 * Kinetic Energy) / mass)`

Plugging in the values, we get:

Velocity =
`sqrt((2 * 8,000,000) / 10,000) = sqrt(16,000)`=40 meters per second.