POTENTIAL ENERGY
Question:
A 1 kg mass is thrown to a height of 2cm. What is the potential energy?
Answer:
- [tex] \color{hotpink}{ \bold{0.196 \: \: J}}[/tex]
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Formula:
— To calculate the potential energy, use formula
- [tex] \underline{ \boxed{ \tt PE=mgh}}[/tex]
where,
- PE is the potential energy in joules (J)
- m is the mass in kilograms (kg)
- g is the acceleration due to gravity (9.8 m/s²)
- h is the height in meters (m)
- To calculate the potential energy, multiply all the givens.
Given that:
- m (mass) = 1 kg
- g = 9.8 m/s²
- h (height) = 2 cm
— To get the P.E (potential energy), we need to convert 2 cm (centimeters) in m (meters) first.
All we know that 1 cm is equal to 0.01 meter. So, to get the value of 2 cm in meters, all we have to do is to multiply it by 0.01.
- [tex]\tt \: 2 \times 0.01 = \underline{ \boxed{ \purple{ \tt0.02}}}[/tex]
Solution:
— Substitute the givens in the formula, we get:
- [tex] \tt \: PE = mgh \\ [/tex]
- [tex]\tt PE= (1 kg) × (9.8 m/s²) × (0.02 m) \\[/tex]
- [tex] \tt PE = \underline{ \boxed{ \blue{ \tt0.196 \: J }}} \\ [/tex]
Hence, the potential energy is 0.196 Joules.
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