Question

A 1kg mass is thrown to a height of 2cm. what is the potential energy​

Answer 1

POTENTIAL ENERGY

Question:

A 1 kg mass is thrown to a height of 2cm. What is the potential energy?

Answer:

• 
  `\color{hotpink}{ \bold{0.196 \: \: J}}`

— — — — — — — — — —

Formula:

— To calculate the potential energy, use formula

• 
  `\underline{ \boxed{ \tt PE=mgh}}`

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.

• 
  `\tt \: 2 * 0.01 = \underline{ \boxed{ \purple{ \tt0.02}}}`

Solution:

— Substitute the givens in the formula, we get:

• 
  `\tt \: PE = mgh \\`

• 
  `\tt PE= (1 kg) × (9.8 m/s²) × (0.02 m) \\`

• 
  `\tt PE = \underline{ \boxed{ \blue{ \tt0.196 \: J }}} \\`

Hence, the potential energy is 0.196 Joules.

_______________∞_______________

Answer 2

• Mass=m=1kg
• Height=h=2cm=0.02m
• Acceleration due to gravity=g=10m/s^2

`\\ \tt\hookrightarrow P.E=mgh`

`\\ \tt\hookrightarrow PE=1(10)(0.02)`

`\\ \tt\hookrightarrow PE=0.2J`