The Sun keeps all of the planets orbiting it because _____.

Physics

2 answers:

ArbitrLikvidat [17]3 years ago

5 0

Answer:

The answer is the law of universal gravitation states that an increase in mass causes an increase in gravitational force

Explanation:

The law of universal gravitation is a physical law that describes the gravitational interaction between different bodies with mass. It was formulated by Isaac Newton and establishes a proportional relationship of the force with which two objects with mass are attracted, that is, the force with which two bodies are attracted had to be proportional to the product of their mass divided by the distance between them squared.

Sergeeva-Olga [200]3 years ago

4 0

a) the law of universal gravitation states that an increase in mass causes an increase in gravitational force

hope this helps!

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Halleys comet has period of 75.3 years. Using Kepler’s third law, find it’s semimajor axis expressed in astronomical units?

natta225 [31]

Answer: 17.83 AU

Explanation:

According to Kepler’s Third Law of Planetary motion “The square of the orbital period of a planet is proportional to the cube of the semi-major axis (size) of its orbit”. 

$T^{2}\propto a^{3}$ (1)

Talking in general, this law states a relation between the orbital period $T$ of a body (moon, planet, satellite, comet) orbiting a greater body in space with the size $a$ of its orbit.

However, if $T$ is measured in years, and $a$ is measured in astronomical units (equivalent to the distance between the Sun and the Earth: $1AU=1.5(10)^{8}km$ ), equation (1) becomes:

$T^{2}=a^{3}$ (2)

This means that now both sides of the equation are equal.

Knowing $T=75.3years$ and isolating $a$ from (2):

$a=\sqrt[3]{T^{2}}=T^{2/3}$ (3)

$a=(75.3years)^{2/3}$ (4)

Finally:

$a=17.83AU$ (5)

4 0

2 years ago

g A bowling ball with a mass of 3.86 kg and a radius of 0.161 m starts from rest at a height of 2.5 m and rolls down a 48.4 o sl

Fynjy0 [20]

Answer:

$v=1.5m/s$

Explanation:

The gravitational potential energy gets transformed into translational and rotational kinetic energy, so we can write $mgh=\frac{mv^2}{2}+\frac{I\omega^2}{2}$ . Since $v=r\omega$ (the ball rolls without slipping) and for a solid sphere $I=\frac{2mr^2}{5}$ , we have: