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
mamaluj [8]
3 years ago
15

System A has masses m and m separated by a distance r; system B has masses m and 2m separated by a distance 2r; system C has mas

ses 2m and 3m separated by a distance 2r; and system D has masses 4m and 5m separated by a distance 3r. A) Rank these systems in order of decreasing gravitational force.
Physics
1 answer:
Anna [14]3 years ago
5 0

Answer:

System D --> System C --> System A --> System B

Explanation:

The gravitational force between two masses m1, m2 separated by a distance r is given by:

F=G \frac{m_1 m_2}{r^2}

where G is the gravitational constant. Let's apply this formula to each case now to calculate the relative force for each system:

System A has masses m and m separated by a distance r:

F=G\frac{m \cdot m}{r^2}=G \frac{m^2}{r^2}

system B has masses m and 2m separated by a distance 2r:

F=G\frac{m \cdot 2m}{(2r)^2}=G \frac{2m^2}{4r^2}=\frac{1}{2} G \frac{m^2}{r^2}

system C has masses 2m and 3m separated by a distance 2r:

F=G\frac{2m \cdot 3m}{(2r)^2}=G \frac{6m^2}{4r^2}=\frac{3}{2} G \frac{m^2}{r^2}

system D has masses 4m and 5m separated by a distance 3r:

F=G\frac{4m \cdot 5m}{(3r)^2}=G \frac{20m^2}{9r^2}=\frac{20}{9} G \frac{m^2}{r^2}

Now, by looking at the 4 different forces, we can rank them from the greatest to the smallest force, and we find:

System D --> System C --> System A --> System B

You might be interested in
The figure (Figure 1) shows the velocity of a solar-powered motorhome (RV) as a function of time. The driver accelerates from a
SpyIntel [72]

Explanation :

It is given that, the driver accelerates from a stop sign, cruises for 20 s at a constant speed of 60 km/h, and then brakes to come to a stop 40 s after leaving the stop sign.

We know that acceleration is defined as the rate of change of velocity.

a=\dfrac{dv}{dt}

Where

dv is the change in velocity, dv = 0 - 60 m/s = -60 m/s

dt is the change in time, dt = 40 s - 30 s = 10 s

So, a=\dfrac{-60\ m/s}{10\ s}

a = -6\ m/s^2

From the graph it is clear that, from 30 s to 40 s the car is decelerating. So, at every second within this time the value of acceleration will be same i.e. -6\ m/s^2.

6 0
3 years ago
Which statement correctly distinguishes between all mechanical and all electromagnetic waves?
lutik1710 [3]

Answer: Mechanical waves carry energy through a medium; electromagnetic waves carry energy through media and space.

Explanation:

<u>The waves which require medium to travel are known as mechanical waves. </u>The waves carry energy forward by compression and rarefaction that is by changing density /pressure of medium particles.

<u>Electromagnetic waves can transfer energy through space as well as medium. </u>In an electromagnetic wave, electric field generates magnetic field and magnetic field generates electric field. Electric field and magnetic field are perpendicular to each other and to the direction of motion.

3 0
3 years ago
Read 2 more answers
A person wearing rollerblades starts from rest and accelerates at a constant rate. She reaches a speed of 13 mph (5.18 m/s) exac
kvv77 [185]

Answer: a. ) What is the magnitude of their average acceleration (in m/s2)

5 0
3 years ago
Read 2 more answers
What is hydraulic pressure?
Ilia_Sergeevich [38]
Hydraulic pressure is actually the pressure that is exerted to liquid and the pressure gets transmitted throughout the liquid. Since liquid cannot be compressed, so the pressure that was exerted on the liquid gets transmitted to the walls of the container containing the liquid. This theory is applied to the braking system of cars and some other vehicles. This is known as the hydraulic pressure. It is actually the science that is concerned with the laws of movements of a fluid  and the application of this theory for engineering purpose. This theory has not only been used in cars but also in planes .
3 0
3 years ago
WILL GIVE BRAINLIST QUICK!!! How does biodiversity support different varieties of species? (please put short answer)
Kay [80]
Biodiversity boosts ecosystem productivity where each species, no matter how small, all have an important role to play.A larger number of plant species means a greater variety of crops. Greater species diversity ensures natural sustainability for all life forms.
4 0
3 years ago
Other questions:
  • Tendons are strong elastic fibers that attach muscles to bones. To a reasonable approximation, they obey Hooke's law. In laborat
    14·1 answer
  • A 200-loop coil of cross sectional area 8.5 cm2 lies in the plane of the page. An external magnetic field of 0.060 T is directed
    5·1 answer
  • A truck is speeding up as it travels on an interstate. The truck's momentum (in kg · m/s) is proportional to the truck's speed (
    8·1 answer
  • which narrative point of view uses outside of the story who know. the thoug,feelings,futures and of every character?​
    14·1 answer
  • You leave a 3kW heater on in your room. You put it on at 8am and leave it on until 4pm. If a unit (1kWh) costs 12.5p, how much w
    7·1 answer
  • 7) What is the relationship between period and cycles?
    6·1 answer
  • Do earthquakes and volcanoes occur anywhere away from plate boundaries
    14·1 answer
  • A police car travels towards a stationary observer at a speed of 15m/s. the siren on the car emits a sound of frequency 250Hz. C
    9·1 answer
  • The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes
    14·1 answer
  • Heat flows from __________ energy to __________ energy.<br> A. higher, lower<br> B. lower, higher
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!