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
Zepler [3.9K]
3 years ago
7

Four identical masses of 2.5 kg each are located at the corners of a square with 1.0-m sides. What is the net force on any one o

f the masses?

Physics
1 answer:
Ghella [55]3 years ago
8 0

Answer:

F=8.0*10^{-10}N

Explanation:

See the attached file for the masses distributions

The force between two masses at distance r is expressed as

F=\frac{Gm_{1}m_{2}  }{r^{2} }\\ G=Gravitional constant \\

since the masses are of the same value, the above formula can be reduce to

F=\frac{Gm^{2}}{r^{2} }\\

using vector notation,Let use consider the force on the lower left corner of the mass due to the upper left side of the mass is

F_{12} =\frac{Gm^{2}}{r^{2} }j\\

The force on the lower left corner of the mass due to the lower right side of the mass is

F_{14} =\frac{Gm^{2}}{r^{2} }i\\

The force on the lower left corner of the mass due to the upper right side of the mass is

F_{13} =\frac{Gm^{2}}{d^{2} }cos\alpha i +\frac{Gm^{2}}{d^{2} }sin\alpha j\\

The net force can be express as

F=\frac{Gm^{2}}{r^{2} }j +\frac{Gm^{2}}{r^{2} }i +\frac{Gm^{2}}{d^{2} }cos\alpha i +\frac{Gm^{2}}{d^{2} }sin\alpha j\\\\F=Gm^{2}[\frac{1}{r^{2}}+ \frac{1}{d^{2}cos\alpha }]i + Gm^{2}[\frac{1}{r^{2}}+ \frac{1}{d^{2}sin\alpha }]j\\\alpha=45^{0}, G=6.67*10^{-11}Nmkg^{-2}

if we insert values we arrive at

F=6.67*10^{-11}*2.5^{2}[\frac{1}{1^{2}}+ \frac{1}{\sqrt{2}^{2}cos45 }]i + 6.67*10^{-11}*2.5^{2}[\frac{1}{1^{2}}+ \frac{1}{\sqrt{2}^{2}sin45}]j\\F=5.643*10^{-10}i+5.643*10^{-10}j

if we solve for the magnitude, we arrive at

F=5.643*10^{-10}i+5.643*10^{-10}j \\F=\sqrt{(5.643*10^{-10})^{2} +(5.643*10^{-10})}^{2} \\F=8.0*10^{-10}

Hence the net force on one of the masses is

F=8.0*10^{-10}N

You might be interested in
Explain how skeletal muscles work in pairs.<br><br> plzzzz answer asap !!
Olegator [25]

Answer:

it holds the bone and helps to move

I don't know if this is right

3 0
3 years ago
Scientist who first proposed the theory that the continents drifted is __________
Aloiza [94]

Answer:

Alfred Wegener

Explanation:

Alfred Wegener is a german meteorologist who proposed the theory that the continents drifted, and he presented it to the German Geological Society on January 1912.

4 0
3 years ago
Brainliest for the first person to answer Which is a characteristic of an electromagnetic wave?
KiRa [710]
The first one. The E and B chatacteristic are perpendicular to eachother. The direction of the wave can be found by the right hand rule.
5 0
3 years ago
how does the electric force between two charged particles change if the distance between them is increased by a factor of 3? a.
Aleksandr [31]

how does the electric force between two charged particles change if the distance between them is increased by a factor of 3?

a. it is reduced by a factor of 3

4 0
3 years ago
HELP
Digiron [165]
Speed is the answer
4 0
2 years ago
Other questions:
  • hydraulic lift is to be used to lift a 2100-kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm. Determi
    6·1 answer
  • Helium is considered a noble gas because it has a _blank___ valence electron shell
    7·2 answers
  • A car is safely negotiating an unbanked circular turn at a speed of 25 m/s. The road is dry, and the maximum static frictional f
    7·1 answer
  • !!! 100 POINTS !!! PLEASE HELP !!!
    15·2 answers
  • Why do people get sunburned by UV light ?
    6·1 answer
  • Which graph best represents the relationship between the electric current and the rate at which a magnet is turning inside an el
    6·2 answers
  • Help me with this question please
    13·1 answer
  • LOADS OF POINTS - PLEASE SHOW WORKING AND METHOD USED
    12·2 answers
  • What are the issues that hinders efforts to achieve sustainability?
    5·1 answer
  • A ball X of mals 1 kg travelling at 2 m/s has a
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!