Question

A girl is travelling on her bike at a speed 2.54 m/s. If the girl and her bike have a kinetic energy of 193 J, what is the combined mass of the girl and her bike? Show all your work.

Answer 1

Answer:

About 59.83 kg

Explanation:

The formula for kinetic energy is $KE = \frac{1}{2}mV^2$, where KE = Kinetic Energy in Joules (J), m = mass in kilograms (kg), and V = Velocity in meters per second (m/s).

In this problem, we are given the Kinetic Energy amount as 193 Joules and the Velocity as 2.54 m/s. Let's plug it into our equation

• $193 = \frac{1}{2} * 2.54^2m$

Now, let's solve this equation.

Step 1: Simplify both sides of the equation.

• $193 = 0.5 * 2.54 * 2.54 * m$
• $193=3.2258m$

Step 2: Divide both sides by 3.2258.

• $193/3.2258 = 3.2258m/3.2258$
• m ≈ 59.830 kilograms