Question

the object has a mass of 6.0 kg. what is the potential energy of the object at point a?
g = 10.00 m/s²
height (m) vs. time (s)
options: 30 j, 150 j, 300 j

Explanation:

Step1: Recall the formula for gravitational potential energy

The formula for gravitational potential energy is \( PE = mgh \), where \( m \) is the mass, \( g \) is the acceleration due to gravity, and \( h \) is the height.

Step2: Identify the values from the problem

• Mass \( m = 6.0 \, \text{kg} \)
• Acceleration due to gravity \( g = 10.00 \, \text{m/s}^2 \)
• From the graph, the height at point A is \( h = 2.5 \, \text{m} \)

Step3: Substitute the values into the formula

$$ PE = 6.0 \, \text{kg} \times 10.00 \, \text{m/s}^2 \times 2.5 \, \text{m} $$

Step4: Calculate the potential energy

First, multiply \( 6.0 \times 10.00 = 60 \), then multiply \( 60 \times 2.5 = 150 \). So, \( PE = 150 \, \text{J} \)

Answer:

150 J