Question

: There is a 19 kg bell at the top of the tower, and it has 9,500 J of potential energy. Using g = 10 m/s^2, how tall is the tower?

A) The tower is 19 meters tall.
B) The tower is 95 meters tall.
C) The tower is 190 meters tall.
D) The tower is 950 meters tall.

Answer 1

To determine the height of the tower, the formula for gravitational potential energy is used: PE = mgh. By re-arranging the formula and substituting the given values, the height of the tower is calculated to be 50 meters.

Step-by-step explanation:

To find out how tall the tower is using the potential energy and the mass of the bell, the formula for gravitational potential energy (PE) which is PE = mgh can be applied, where m is mass, g is the acceleration due to gravity, and h is the height of the object above the ground. Using the provided data, PE = 9,500 J, m = 19 kg, and g = 10 m/s², you can solve for h.

Rearranging the equation to solve for height, h = PE / (mg). Substituting the given values results in h = 9,500 J / (19 kg × 10 m/s²). Doing the calculation yields h = 9,500 / 190, which simplifies to h = 50 meters. Therefore, the correct answer is B) The tower is 50 meters tall.