Physics, 04.02.2021 14:00 kjjackson012002

determine the gravitational attraction between Earth (6.0 x 10^24 kg) and a 2,500 kg car if the car is 6.38 x 10^6 m from Earth's center.

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Answer from: pricebrittany41

The gravitational attraction between Earth and a 2,500 kg car is 24,592.49 N.

Explanation:

The law of universal gravitation, or simply the law of gravity, establishes the force with which two bodies attract each other simply because they have mass. This law was developed by Sir Isaac Newton.

This law describes the gravitational interaction between massive bodies, and establishes a proportional relationship of the gravitational force with the mass of the bodies.

The Universal Law of Gravitation states that all objects attract each other with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

This means that any two bodies attract each other with a greater or lesser force depending on their mass is greater or less, and according to the distance between them.

The fundamental formula of the Law of Universal Gravitation is as follows:

$F=\frac{G*m1*m2}{d^{2} }$

Where:

F is the force of attraction between two masses. G is the universal constant of gravitation (6.673484*10⁻¹¹ N.m²/kg²). m1 is the mass of one of the bodies. m2 is the mass of another of the bodies. d is the distance that separates them.

In this case:

m1: 6*10²⁴ kgm2: 2,500 kgd: 6.38*10⁶ m

Replacing:

$F=\frac{6.673484*10^{-11}\frac{N*m^{2} }{kg^{2} } *6*10^{24} kg*2,500 kg}{(6.38*10^{6} m)^{2} }$

Solving you get:

F= 24,592.49 N

The gravitational attraction between Earth and a 2,500 kg car is 24,592.49 N.

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

Hey did u get the answer?

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