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4 years ago

Prove that the acceleration due to gravity is independent tothe mass of the falling body

Physics

1 answer:

ra1l [238]4 years ago

4 0

Answer:

The force of gravity on an object increases with its mass; thus, the acceleration of gravity is constant.

Explanation:

one can prove this by plugging in values to Newton's 2nd law equation

F = ma, or by using the formula to calculate the force of gravity.

Force of Gravity = GMm/r^2

with G being the gravitational constant, M the mass of the earth, m the mass of the falling body, and r the distance from the earth's center.

Force of Gravity can be written as mg, with g being the acceleration due to gravity.

As we can see, m cancels on both sides, leaving

g = GM/r^2

Generally in physics problems, r will be treated as constant to achieve

g = 9.8m/s^2

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3 years ago

Your electric drill rotates initially at 5.21 rad/s. You slide the speed control and cause the drill to undergo constant angular

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3 years ago

The weight of a hydraulic barber's chair with a client is 2100 N. When the barber steps on the input piston with a force of 44 N

guajiro [1.7K]

Answer:

$\frac{r_1}{r_2}=6.9$

Explanation:

According to Pascal's Law, the pressure transmitted from input pedal to the output plunger must be same:

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where,

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F₂ = Force applied on input piston = 44 N

r₁ = radius of output plunger

r₂ = radius of input piston

Therefore,

$\frac{r_1^2}{r_2^2}=\frac{2100\ N}{44\ N}\\\\\frac{r_1}{r_2}=\sqrt{\frac{2100\ N}{44\ N}} \\\\\frac{r_1}{r_2}=6.9$

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3 years ago

Billiard ball A (0.35 kg) is struck such that it moves at 10 m/s toward a second identical ball (Ball B) initially at rest. Afte

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Answer:

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Hope it'll help!

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4 years ago

Prove that the acceleration due to gravity is independent tothe mass of the falling body​

Prove that the acceleration due to gravity is independent tothe mass of the falling body