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.
Similar Questions
- Determine the energy of an object with a mass of 5 kg at a height of 8 metres above the ground. Assume the value of 'g' as 9.8 m s-2.
- The potential energy of a 20-kg object at height h is 600 J. The value of h is ______. (Take \(g = 10 \text{ m/s}^2\).)
An object of mass m is made to fall freely from a height h. As the object continues to fall, what will happen to its energy?
Calculate the energy possessed by an object of mass 10 kg when it is raised to a height of 5 m from the ground. Given: g = 9.8 m s-2.
In the case of light reflection from a convex mirror, when a parallel beam strikes its surface, how is the reflected light?
Important Questions from Potential Energy
Which of the following is an example of gravitational potential energy?
- Determine the energy of an object with a mass of 5 kg at a height of 8 metres above the ground. Assume the value of 'g' as 9.8 m s-2.
The Energy stored in a system is called as
The potential energy acquired by a balloon when we press it (changing its shape), or by a spring inside a toy car when wound, is possessed by virtue of the object's _________________.
- The potential energy of a 20-kg object at height h is 600 J. The value of h is ______. (Take \(g = 10 \text{ m/s}^2\).)
