Question

calculating kinetic energy ke = 1/2 m v²
partner a
a ball has a mass of 2kg, suppose it travels at 10m/s. find the kinetic energy possessed by it.
variables:
e=? e = 1/2 mv²
m=
e=
v=
a spaceship has a mass of 20000kg, suppose it travels at 10m/s. find the kinetic energy possessed by it.
e=? e = 1/2 mv²
partner b
a ball has a mass of 10kg, suppose it travels at 100m/s. find the kinetic energy possessed by it.
e=? e = 1/2 mv²
m=
e=
v=
a spaceship has a mass of 5000kg, suppose it travels at 15m/s. find the kinetic energy possessed by it.
e=? e = 1/2 mv²

Explanation:

Step1: Calculate kinetic - energy for Partner A's first ball

Given $m = 2\text{ kg}$ and $v=10\text{ m/s}$, use the formula $E=\frac{1}{2}mv^{2}$.
$E=\frac{1}{2}\times2\times10^{2}$
$E = 1\times100=100\text{ J}$

Step2: Calculate kinetic - energy for Partner B's first ball

Given $m = 10\text{ kg}$ and $v = 100\text{ m/s}$, use the formula $E=\frac{1}{2}mv^{2}$.
$E=\frac{1}{2}\times10\times100^{2}$
$E = 5\times10000=50000\text{ J}$

Step3: Calculate kinetic - energy for Partner A's spaceship

Given $m = 20000\text{ kg}$ and $v = 10\text{ m/s}$, use the formula $E=\frac{1}{2}mv^{2}$.
$E=\frac{1}{2}\times20000\times10^{2}$
$E = 10000\times100 = 1000000\text{ J}$

Step4: Calculate kinetic - energy for Partner B's spaceship

Given $m = 5000\text{ kg}$ and $v = 15\text{ m/s}$, use the formula $E=\frac{1}{2}mv^{2}$.
$E=\frac{1}{2}\times5000\times15^{2}$
$E = 2500\times225=562500\text{ J}$

Answer:

Partner A's first ball: 100 J
Partner B's first ball: 50000 J
Partner A's spaceship: 1000000 J
Partner B's spaceship: 562500 J