Question

1. a bell hanging at the top of a tower has 8,550 j of energy. if it has a mass of 20 kg, find the height of the bell.

Explanation:

Step1: Recall the formula for gravitational potential energy

The formula for gravitational potential energy \(U = mgh\), where \(U\) is the energy, \(m\) is the mass, \(g\) is the acceleration due to gravity (\(g = 9.8\ m/s^{2}\)), and \(h\) is the height.

Step2: Rearrange the formula to solve for height

We can rewrite the formula as \(h=\frac{U}{mg}\).

Step3: Substitute the given values into the formula

Given \(U = 8550\ J\), \(m = 20\ kg\), and \(g = 9.8\ m/s^{2}\).

$$h=\frac{8550}{20\times9.8}$$

$$h=\frac{8550}{196}$$

$$h\approx43.62\ m$$

Answer:

The height of the bell is approximately \(43.62\ m\).