1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixer [17]
3 years ago
7

Find the change in the force of gravity between two planets when the distance between them becomes 10 times smaller. g

Physics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

F' = F/16

So, the force of gravity has become 16 times less than initial value.

Explanation:

The force of gravity between two planets, is given by the following formula:

F = Gm₁m₂/r²   ----------- equation 1

where,

F = Force of gravity between two planets

G = Gravitational Constant

m₁ = Mass of one planet

m₂ = Mass of other plant

r = Distance between two planets

Now, if the distance between the planets (r) is 10 times smaller, then Force of gravity will become:

F' = Gm₁m₂/(4r)²

F' = (1/16) (Gm₁m₂/r²)

using equation 1:

<u>F' = F/16</u>

<u>So, the force of gravity has become 16 times less than initial value.</u>

You might be interested in
Learning Goal: To review the concept of conservative forces and to understand that electrostatic forces are, in fact, conservati
CaHeK987 [17]

Explanation:

The electrostatic forces are conservative forces!

The mainly property of the conservative fields is \vec{\nabla} \times \vec E=\vec 0

In spherical coordinates the field's expression is:

\vec E=\frac{Q}{4\pi \epsilon _0 r^2} .\^r

and the curl expression is:

\nabla\times \vec E=\frac{1}{r^2{\sin}\,\theta}\left|\begin{matrix}\hat{r} & r\,\hat{\theta} & r\,{\sin}\,\theta\,\hat{\varphi}  \\& & \\\frac{\partial}{\partial r} & \frac{\partial}{\partial \theta} & \frac{\partial}{\partial \varphi}\\ & & \\E_r & rE_\theta & r{\sin}\,\theta\, E_\varphi\end{matrix}\right|=(0, 0, 0)

to find the expression for the potential function associated:

\vec E=\vec \nabla . V, \Delta V= V_b-V_a=-\int _c \vec E.d\vec l=-\int _c E\^r.dr\^r=-\int _c Edr=\int \limits^a_b \frac{Q}{4\pi \epsilon _0 r^2} dr= \frac{Q}{4\pi \epsilon _0}.(\frac{1}{r}|^b_a)= \frac{Q}{4\pi \epsilon _0}.(\frac{1}{b}-\frac{1}{a})

5 0
3 years ago
A source of emf is connected by wires to a resistor, and electrons flow in the circuit. The wire diameter is the same throughout
Zina [86]

Answer:

C. the same.

Explanation:

The drift speed of electrons in a circuit is the same all through the circuit.

4 0
3 years ago
A 0.30 kg ball of putty is thrown at a stationary 1.2 kg cart. The ball of putty is initially moving with a speed of 6.0 m/s. Th
Lemur [1.5K]
<span>In order to determine the speed of the entire assembly, we employ conservation of momentum. Momentum p = mv where m is the object's mass and v is the velocity.
   The putty ball's initial momentum p1 = 0.3kg*6m/s = 1.8 kg*m/s
   That momentum is conserved, so the momentum of the new system having mass 0.3 kg + 1.2 kg = 1.5 kg is:
   1.8 kg*m/s = 1.5kg*v. Solving for v, we find that the velocity is 1.2 meters/second.</span>
3 0
3 years ago
A 15.0 kg crate, initially at rest, slides down a ramp 2.0 m long and inclined at an angle of 20.0° with the horizontal. Using t
Elis [28]

The component of the crate's weight that is parallel to the ramp is the only force that acts in the direction of the crate's displacement. This component has a magnitude of

<em>F</em> = <em>mg</em> sin(20.0°) = (15.0 kg) (9.81 m/s^2) sin(20.0°) ≈ 50.3 N

Then the work done by this force on the crate as it slides down the ramp is

<em>W</em> = <em>F d</em> = (50.3 N) (2.0 m) ≈ 101 J

The work-energy theorem says that the total work done on the crate is equal to the change in its kinetic energy. Since it starts at rest, its initial kinetic energy is 0, so

<em>W</em> = <em>K</em> = 1/2 <em>mv</em> ^2

Solve for <em>v</em> :

<em>v</em> = √(2<em>W</em>/<em>m</em>) = √(2 (101 J) / (2.0 m)) ≈ 10.0 m/s

3 0
3 years ago
A car slams on its brakes, producing friction between the tires and the road. Into which type of energy is the mechanical energy
lawyer [7]

mechanical energy of the car converted to HEAT. (Don't touch ! and watch for smoke !)

6 0
3 years ago
Other questions:
  • A bird flies 10 miles south, turns and flies 15 miles east. What distance did it fly.
    6·1 answer
  • a wave travels at a speed of 793 m/s and has a wavelength of 2.3 meters. calculate the frequency of the wave​
    12·1 answer
  • How much amount of heat is required to raise the temperature of 20 grams of water from 10°C to 30°C? The specific heat of water
    13·2 answers
  • What information do you need to describe an object's location
    7·1 answer
  • Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from t
    13·1 answer
  • A speedboat travels from the dock to the first buoy, a distance of 20 meters, in 18 seconds. It began the trip at a speed of 0 m
    11·2 answers
  • Earth is just one of the planets that revolve around the Sun in the Solar System, and 5
    11·1 answer
  • How do the distances between the orbits of the inner planets compare to the distances between the orbits of the outer planets?
    5·1 answer
  • Convert 50cm to metre​
    12·1 answer
  • A playground ride requires 21 seconds to make one complete revolution
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!