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Suppose an elephant has a mass of 1,800 kg and a person has a mass of 75 kg. If the strength of the gravitational force on the person was 735 N, what would be the gravitational force on the elephant? (Assume both the person and elephant are on Earth’s surface.)

Respuesta :

Answer:

17640 N

Explanation:

Force is a product of mass and acceleration due to gravity,

Making g the subject then [tex]g=\frac {F}{m}[/tex] and substituting F with 735 N and m with 75 for the case of a person, g is equivalent to 735/75=9.8

elephant of 1800 kg, force F=mg=1800*9.8=17640 N

The magnitude of strength of gravitational force on elephant is of 17640 N.

Given data:

The mass of elephant is, [tex]m=1800 \;\rm kg[/tex].

The mass of person is, [tex]m'=75 \;\rm kg[/tex].

Strength of gravitational force on person is, [tex]F'=735 \;\rm N[/tex].

The expression for the strength of gravitational force on person is given as,

[tex]F'=m'g[/tex]

here, g is the gravitational acceleration on Earth.

Solving as,

[tex]735=75 \times g\\g =9.8 \;\rm m/s^{2}[/tex]

And, strength of gravitational force on elephant is,

[tex]F=mg\\F=1800 \times 9.8\\F=17640 \;\rm N[/tex]

Thus, we conclude that strength of gravitational force on elephant is 17640 N.

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