Question

compute the potential energy of a box a and b using the formula PE=mgh (g=9.8 m/s²).​

Answer 1

We are asked to compute the potential energy of the box A and B using the formula PE = mgh (g = 9.8 mps sq.)

Answer:

• The potential energy of the box A = 490 Joules.

• The potential energy of the box B = 980 Joules.

Explanation:

#ConditionFirst!

Given that:

• Mass = 10 kg
• Height = 5 m
• g = 9.8 mps sq.

To determine:

• Potential energy

Solution:

• Potential energy = 490 J

Using concept:

• Potential energy formula

Using formula:

• PE = mgh

Required solution:

»»» PE = mgh

»»» PE = 10 × 9.8 × 5

»»» PE = 98 × 5

»»» PE = 490 Joules

#ConditionSecond!

Given that:

• Mass = 10 kg
• Height = 5 m
• g = 9.8 mps sq.

To determine:

• Potential energy

Solution:

• Potential energy = 980 J

Using concept:

• Potential energy formula

Using formula:

• PE = mgh

Required solution:

»»» PE = mgh

»»» PE = 20 × 9.8 × 5

»»» PE = 100 × 9.8

»»» PE = 980 J $\:$

Answer 2

The potential energy of an object can be computed by using the formula:

$\\ P.E. = mgh$

where m$= mass \ of \ the\ object$

           g$= acceleration\ due\ to \ gravity( 9.8\frac{m}{s^{2} } )$

           h$= height$

Given:

BOX A⇒

Mass($m_{A$) $=10 kg$

Height( $h_{A}$)$= 5m$

P.E.= $mgh=m_{A} gh_{A}= 10\times 9.8\times 5 = 490J$

BOX B⇒

Mass$(m_{B}) =20 kg$

Height$(h_{B} )=5m$

P.E.=$mgh=m_{B} gh_{B}= 20\times 9.8\times 5 = 980J$

The P.E. of Box A and B are 490 J and 980 J, respectively.