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Four cats are sitting in a living room. Which cat has the greatest gi potential energy? (Lesson 3.10 Gravitational Potential Energy) O A 15 lb cat sitting 3 feet off the ground in a window O A 10 lb cat sitting 1 foot off the ground on a box O A 10 lb cat sitting 3 feet off the floor in a window • A 15 lb cat sitting 1 foot off the ground on a box Question 2 (1 point)​

Respuesta :

MrRoyal

Answer:

Cat 1

Explanation:

Required

Determine the cat with the greatest potential energy.

To do this, we calculate the potential energy of each cat.

Cat 1:

Given

[tex]Mass = 15lb[/tex]

[tex]Height = 3ft[/tex]

Convert mass to kg and height to m

[tex]Mass = 15/2.205[/tex]

[tex]Mass = 6.8kg[/tex]

[tex]Height = 3/3.281[/tex]

[tex]Height = 0.91\ m[/tex]

[tex]PE = Mass * Gravity * Height[/tex]

[tex]PE = 6.8 * 9.8 * 0.91[/tex]

[tex]PE = 60.64\ J[/tex]

Cat 2:

Given

[tex]Mass = 10\ lb[/tex]

[tex]Height = 1\ ft[/tex]

Convert mass to kg and height to m

[tex]Mass = 10/2.205[/tex]

[tex]Mass = 4.54kg[/tex]

[tex]Height = 1/3.281[/tex]

[tex]Height = 0.30\ m[/tex]

[tex]PE = Mass * Gravity * Height[/tex]

[tex]PE = 4.54 * 9.8 * 0.30[/tex]

[tex]PE = 13.34\ J[/tex]

Cat 3:

Given

[tex]Mass = 10\ lb[/tex]

[tex]Height = 3\ ft[/tex]

Convert mass to kg and height to m

[tex]Mass = 10/2.205[/tex]

[tex]Mass = 4.54kg[/tex]

[tex]Height = 3/3.281[/tex]

[tex]Height = 0.91\ m[/tex]

[tex]PE = Mass * Gravity * Height[/tex]

[tex]PE = 4.54 * 9.8 * 0.91[/tex]

[tex]PE = 40.49\ J[/tex]

Cat 4:

Given

[tex]Mass = 15\ lb[/tex]

[tex]Height = 1\ ft[/tex]

Convert mass to kg and height to m

[tex]Mass = 15/2.205[/tex]

[tex]Mass = 6.8kg[/tex]

[tex]Height = 1/3.281[/tex]

[tex]Height = 0.30\ m[/tex]

[tex]PE = Mass * Gravity * Height[/tex]

[tex]PE = 6.8 * 9.8 * 0.30[/tex]

[tex]PE = 19.99\ J[/tex]

By comparison, cat 1 has the highest potential energy...

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