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A wheel of mass 38 kg is lifted to a height of 0.8 m. How much gravitational potential energy is added to the wheel? The acceleration due to gravity is [tex]g = 9.8 \, \text{m/s}^2[/tex].

A. 297.9 J
B. 3.1 J
C. 11,321 J
D. 30.4 J

Sagot :

GinnyAnswer
Certainly! Let's solve the problem step-by-step.

Given:
- The mass of the wheel, [tex]\( m = 38 \)[/tex] kg
- The height to which the wheel is lifted, [tex]\( h = 0.8 \)[/tex] m
- The acceleration due to gravity, [tex]\( g = 9.8 \)[/tex] m/s[tex]\(^2\)[/tex]

We need to find the gravitational potential energy (GPE) added to the wheel.

The formula for gravitational potential energy is:
[tex]\[ \text{GPE} = m \times g \times h \][/tex]

Substitute the given values into the formula:
[tex]\[ \text{GPE} = 38 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 0.8 \, \text{m} \][/tex]

After performing the multiplication:
[tex]\[ \text{GPE} = 297.92 \, \text{J} \][/tex]

So, the gravitational potential energy added to the wheel is [tex]\( 297.92 \)[/tex] J.

Hence, the correct answer is:
A. [tex]\( 297.9 \)[/tex] J
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