A shopper in a supermarket takes a box of sugar from a shelf that is 1.5 m high because he is going to bake some muffins. He also needs to get some blueberries. The sugar has a weight of 5N. What Potential Energy did the sugar have before it was taken from the shelf?

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Lanuel

Answer:

7.5 Joules.

Explanation:

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

[tex] P.E = mgh[/tex]

Where, P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Given the following data;

Weight of sugar = 5N

Height = 1.5m

[tex] P.E = mgh[/tex]

But we know that weight = mg = 5N

Substituting into the equation, we have;

[tex] P.E = 5 * 1.5 [/tex]

[tex] P.E = 7.5 J[/tex]

Therefore, the potential energy the sugar had before it was taken from the shelf is 7.5 Joules.

The potential energy of the sugar at the given position before it was taken from shelf is 7.5 J.

The given parameters;

  • height of the shelf, h = 1.5 m
  • weight of the sugar, W = 5 N

The potential energy of the sugar at the given position before it was taken from shelf is calculated as follows;

P.E = mgh

P.E = Wh

P.E = 5 x 1.5

P.E = 7.5 J

Thus, the potential energy of the sugar at the given position before it was taken from shelf is 7.5 J.

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