Question

1. calculate the ke of a 5 kg toy cart that moves at 10 m/s.

Explanation:

Step1: Recall the formula for kinetic energy (KE)

The formula for kinetic energy is $KE = \frac{1}{2}mv^2$, where $m$ is the mass of the object and $v$ is its velocity.

Step2: Identify the given values

We are given that the mass $m = 5\space kg$ and the velocity $v = 10\space m/s$.

Step3: Substitute the values into the formula

Substitute $m = 5$ and $v = 10$ into $KE=\frac{1}{2}mv^2$:
\[

$$\begin{align*} KE&=\frac{1}{2}\times5\times(10)^2\\ &=\frac{1}{2}\times5\times100\\ &=\frac{500}{2}\\ & = 250 \end{align*}$$

\]

Answer:

The kinetic energy of the toy cart is $250\space J$ (joules).