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A mass of 20 kg is at a height of 8 m ab...

A mass of 20 kg is at a height of 8 m above the ground. Then the potential energy possessed by the body is:
[Given `g = 9.8 ms^(-2)`]

A

1568 J

B

1568 C

C

1568 W

D

1568 N

Text Solution

AI Generated Solution

The correct Answer is:
To calculate the potential energy (PE) possessed by a mass at a certain height, we can use the formula: \[ PE = mgh \] Where: - \( m \) = mass (in kg) - \( g \) = acceleration due to gravity (in \( m/s^2 \)) - \( h \) = height (in m) ### Step-by-step Solution: 1. **Identify the values**: - Mass \( m = 20 \, \text{kg} \) - Acceleration due to gravity \( g = 9.8 \, \text{m/s}^2 \) - Height \( h = 8 \, \text{m} \) 2. **Substitute the values into the formula**: \[ PE = 20 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 8 \, \text{m} \] 3. **Perform the multiplication**: - First, calculate \( 20 \times 9.8 \): \[ 20 \times 9.8 = 196 \] - Next, multiply the result by the height \( h \): \[ 196 \times 8 = 1568 \] 4. **Conclusion**: - The potential energy possessed by the body is: \[ PE = 1568 \, \text{Joules} \] ### Final Answer: The potential energy possessed by the body is **1568 Joules**. ---
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