Pedro and Perla are grocery shopping. Pedro throws a banana at Perla to get her attention. Perla picks up a cantaloupe, which is 5 times heavier, and throws it at Pedro with the same speed that he threw the banana. How much more kinetic energy does the cantaloupe have

Respuesta :

Answer:

The cantaloupe has a kinetic energy that is 5 times that of the banana.

Explanation:

Kinetic energy (KE) = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]

where m is the mass of the object and v its velocity.

For the banana, let its mass be represented by m and its velocity by v.

So that:

Kinetic energy of the banana = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]

For the cantaloupe, given that its mass is 5 times that of banana (5m) but has the same speed as that of banana.

Then,

kinetic energy of the cantaloupe = [tex]\frac{1}{2}[/tex] 5m[tex]v^{2}[/tex]

                                                       = [tex]\frac{5}{2}[/tex]m[tex]v^{2}[/tex]

                                                      = 5([tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex])

                                                      = 5 x kinetic energy of the banana

The cantaloupe has a kinetic energy that is 5 times that of the banana.

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