Question

A 1,407.48 N rocket travels at constant speed for 1,876.33 m in 1.04 seconds. what is the kinetic energy of the rocket?

Answer 1

`233,741,069.3J`

Step-by-step explanation

To find the kinetic energy of the rocket, apply the formula:

`E=(1)/(2)mv^2`

where m = mass; v = velocity

To find the mass of the rocket, divide its weight by the acceleration due to gravity:

To find the velocity of the rocket, divide the distance traveled by the time taken:

`\begin{gathered} v=(d)/(t) \\ v=(1876.33)/(1.04) \\ v=1804.16 \end{gathered}`

Hence, the kinetic energy of the rocket is:

`\begin{gathered} E=(1)/(2)\cdot143.62\cdot(1804.16)^2 \\ E=233,741,069.3J \end{gathered}`