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b. Calculate the rock's gravitational potential energy at 50 m, 20 m, 1 m, and om high. Put the
answers in the data table below.

Respuesta :

The gravitational potential energy of the rock is:

490 J at 50 m

196 J at 20 m

9.8 J at 1 m

Explanation:

The gravitational potential energy (GPE) of an object is the energy possessed by the object due to its position in the gravitational field.

For an object near the Earth's surface, the GPE is given by

[tex]GPE=mgh[/tex]

where

m is the mass of the object

[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity at Earth's surface

h is the heigth of the object relative to the ground

For the rock in  this problem,

m = 1 kg

So its GPE at h = 50 m is

[tex]GPE(50)=(1)(9.8)(50)=490 J[/tex]

The GPE at h = 20 m is

[tex]GPE(20)=(1)(9.8)(20)=196 J[/tex]

While the GPE at h = 1 m is

[tex]GPE(1)=(1)(9.8)(1)=9.8 J[/tex]

Learn more about gravitational potential energy:

brainly.com/question/1198647

brainly.com/question/10770261

#LearnwithBrainly

The gravitational potential energy depends on the mass and height of the object.

The gravitational potential energy at heights 50 m, 20 m, 1 m, and 0 m are 490 J, 196 J, 9.8 J, and 0 J respectively.

What is the gravitational potential energy?

The gravitational potential energy is energy that an object possesses because of its position in a gravitational field.

Given that the mass m of the rock is 1 kg and the heights h1, h2, h3 and h4 are 50 m, 20 m, 1 m, and 0 m respectively.

The gravitational acceleration g is 9.8 m/s.

The gravitational potential energy U is calculated as given below.

[tex]U = mgh[/tex]

For h1 = 50 m,

[tex]U_1 = mgh_1[/tex]

[tex]U_1 = 1 \times 9.8 \times 50[/tex]

[tex]U_1 = 490\;\rm J[/tex]

For h2 = 20 m,

[tex]U_2 = mgh_2[/tex]

[tex]U_2= 1 \times 9.8 \times 20[/tex]

[tex]U_2 = 196\;\rm J[/tex]

For h3 = 1 m,

[tex]U_3= mgh_3[/tex]

[tex]U_3 = 1 \times 9.8 \times 1[/tex]

[tex]U_3 = 9.8\;\rm J[/tex]

For h4 = 0 m,

[tex]U_4 = mgh_4[/tex]

[tex]U_4 = 1 \times 9.8 \times 0[/tex]

[tex]U_4 = 0\;\rm J[/tex]

Hence we can conclude that the gravitational potential energy at heights 50 m, 20 m, 1 m, and 0 m are 490 J, 196 J, 9.8 J, and 0 J respectively.

To know more about the gravitational potential energy, follow the link given below.

https://brainly.com/question/10427150.