Answer:
The towers height is 322m
Explanation:
We can assume that a simple pendulum hangs from the top of the tower.
In this case, the length of the pendulum will be the same as the height of the tower.
We will use the next expression then:
Where T is the period, L is the pendulum length and g is the gravity
From the previous expression we will have then that the length will be:
Replacing:
The towers height will be then: 322m
It is 10.20 m from the ground.
<u>Explanation:</u>
<u>Given:</u>
m = 0.5 kg
PE = 50 J
We know that the Potential energy is calculated by the formula:
where m is the is mass in kg; g is acceleration due to gravity which is 9.8 m/s and h is height in meters.
PE is the Potential Energy.
Potential Energy is the amount of energy stored when an object is stationary.
Here, if we substitute the values in the formula, we get
50 = 0.5 × 9.8 × h
50 = 4.9 × h
h = 10.20 m