Question

1. one of the tallest radio towers is in fargo, north dakota. the tower is 629 m tall.

if a bird lands on top of the tower so that the energy associated with the bird is
30,800 j, what is its mass? (ke / gpe)
knowns
unknown
equation
work
answer with unit

Explanation:

Step1: Identify the formula

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

Step2: Rearrange the formula to solve for mass

From \(GPE=mgh\), we can solve for \(m\) as \(m=\frac{GPE}{gh}\).

Step3: Substitute the known values

Given \(GPE = 30800\ J\), \(h = 629\ m\), and \(g=9.8\ m/s^{2}\).

$$m=\frac{30800}{9.8\times629}$$

$$m=\frac{30800}{6164.2}$$

$$m\approx 5.0\ kg$$

Answer:

\(5.0\ kg\)