Calculating Object Height from Potential Energy
This question asks us to find the height (\(h\)) of an object given its mass (\(m\)), potential energy (\(PE\)), and the acceleration due to gravity (\(g\)).
Key Information:
- Mass (\(m\)): 20 kg
- Potential Energy (\(PE\)): 600 J
- Acceleration due to gravity (\(g\)): 10 m/s2
Potential Energy Formula
The formula for potential energy (\(PE\)) is given by:
\( PE = m \times g \times h \)
Where:
- \(PE\) is the potential energy in Joules (J)
- \(m\) is the mass in kilograms (kg)
- \(g\) is the acceleration due to gravity in meters per second squared (m/s2)
- \(h\) is the height in meters (m)
Step-by-Step Height Calculation
- Substitute known values into the formula:
\( 600 \text{ J} = (20 \text{ kg}) \times (10 \text{ m/s}^2) \times h \)
- Simplify the equation:
\( 600 = 200 \times h \)
- Solve for height (\(h\)):
To find \(h\), divide both sides by 200:
\( h = \frac{600}{200} \)
\( h = 3 \text{ m} \)
Therefore, the height of the object is 3 meters.
Important Questions from Potential Energy
Which one of the following is not a conservative force ?
Which of the following is an example of gravitational potential energy?
What type of energy conversion takes place during the thunder of clouds?
The potential difference is 40V. Find the work done to transmit a charge of 0.5C?
Which of the following terms is used for stored energy that depends upon the relative position of various parts of a system?
