Question

The mass of a bike and cyclist is 75.0 kg. The rider starts at rest at a height of 0 m. She speeds up to 6.00 m/s. The rider reaches the top of a 15.0 m hillmoving at 3.00 m/s. What are the potential energy and kinetic energy of the bike?

Answer 1

Given that the mass of the object is m = 75 kg and the height of the object is h = 15 m. The speed of the bike is v = 3 m/s

Also, the acceleration due to gravity is g = 9.8 m/s^2

The potential energy is given by the formula

`P\mathrm{}E\text{. = mgh}`

Substituting the values, the potential energy will be

`\begin{gathered} P\mathrm{}E\mathrm{}=75*9.8*15 \\ =11025\text{ J} \end{gathered}`

The kinetic energy of the bike is given by the formula,

`\begin{gathered} K\mathrm{}E\text{. =}(1)/(2)mv^2 \\ =(1)/(2)*75*3^2 \\ =337.5\text{ J} \\ \approx338\text{ J} \end{gathered}`