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
SVEN [57.7K]
3 years ago
5

Two particles of equal mass m are at the vertices of the base of an equilateral triangle. The triangle’s center of mass is midwa

y between the base and the third vertex. What’s the mass at the third vertex?

Physics
1 answer:
Helga [31]3 years ago
8 0

Answer:Twice of given mass

Explanation:

Given

Two Particles of Equal mass placed at the base of an equilateral Triangle

let mass of two equal masses be m and third mass be m'

Taking one of the masses at origin

Therefore co-ordinates of first mass be (0,0)

Co-ordinates of other equal mass is (a,0)

if a is the length of triangle

co-ordinates of final mass (\frac{a}{2},\frac{\sqrt{3}a}{2})

Given its center of mass is at midway between base and third vertex therefore

x_{cm},y_{cm}=\frac{a}{2},\frac{\sqrt{3}a}{4}

y_{cm}=\frac{m_1y_1+m_2y_2+m_3y_3}{m_1+m_2+m_3}

\frac{\sqrt{3}a}{4}=\frac{m\cdot 0+m\cdot 0+m'\cdot \frac{\sqrt{3}a}{2}}{m+m+m'}

2m+m'=4\times (\frac{m'}{2})

2m+m'=2m'

m'=2m

You might be interested in
What is the minimum amount of data points an experiment should gather?
nydimaria [60]

The answer is "Three".

At the point when individuals take studies for factual purposes or when the Statistics Agency comes around and gets everyone's data, data from one individual is one information point for them. Toward the finish of its exploration or overview, the organization will have accumulated numerous bits of data from numerous individuals. One piece of information equals with one data point.

7 0
3 years ago
Calculate the propellant mass required to launch a 2000 kg spacecraft from a 180 km circular orbit on a Hohmann transfer traject
Finger [1]

Answer:

t = 12,105.96 sec

Explanation:

Given data:

weight of spacecraft is 2000 kg

circular orbit distance to saturn = 180 km

specific impulse = 300 sec

saturn orbit around the sun R_2 = 1.43 *10^9 km

earth orbit around the sun R_1= 149.6 * 10^ 6 km

time required for the mission is given as t

t = \frac{2\pi}{\sqrt{\mu_sun}} [\frac{1}{2}(R_1 + R_2)]^{3/2}

where

\mu_{sun} is gravitational parameter of sun =  1.32712 x 10^20 m^3 s^2.t = \frac{2\pi}{\sqrt{ 1.32712 x 10^{20}}} [\frac{1}{2}(149.6 * 10^ 6 +1.43 *10^9 )]^{3/2}

t = 12,105.96 sec

6 0
3 years ago
Can a falling object reach terminal velocity in outer space? Explain.
Damm [24]
Ith air resistance acting on an object that has been dropped, the object will eventually reach a terminal velocity, which is around 53 m/s (195 km/h or 122 mph) for a human skydiver. ... (On the Moon, the gravitational acceleration is much less than on Earth, approximately 1.6 m/s2.)
6 0
3 years ago
If it takes 100 N to move a box 5 meters, what is the work done on the box?
inysia [295]

Answer:

Explanation:

Work=force×distance

W=F×S

   =100 N × 5 m

   = 500 Nm

W = 500J

7 0
3 years ago
Determine the kinetic of 600 kg roller coaster car that is moving with the speed of 35.2 m/s.
antiseptic1488 [7]
The answer is 10,560 Joules or 1.1*10^4


Explanation:

Step 1: Calculate
The equation for Kinetic Energy is

Kinetic energy=.5 times Mass times Velocity²
KE=.5*m*v²

so we plug in our numbers
KE=.5*600*35.2²

This works out to be 10,560 Joules or 1.1*10^4
5 0
3 years ago
Other questions:
  • Which three elements have strong magnetic properties?
    15·1 answer
  • Parallax error occurs when the observer records data when he/she is at an angle to the event he/she is observing. Where do you t
    13·1 answer
  • A straight wire carries a current of 10 A at an angle of 30° with respect to the direction of a uniform 0.30-T magnetic field. F
    7·2 answers
  • If the strength of the magnetic field at A is 200 units and the strength of the magnetic field at B is 50 units, what is the dis
    8·1 answer
  • If the resistivity of copper is less than that of gold at room temperature, which of the following statements must be true? Gold
    14·1 answer
  • La corriente que fluye por una resistencia es
    11·1 answer
  • Emma a total of 25 seconds to crawl 4 feet south and then 6 feet east.
    10·1 answer
  • Tapping into this energy source could provide at least 10 times the energy that can be obtained from the nation’s known coal res
    9·1 answer
  • You drag a crate across a floor with a rope. The force applied is 750 N and the angle of the rope is 25.0° above the horizontalH
    13·1 answer
  • An empty jar is pushed open-side down into water so that trapped air cannot escape. As it is pushed deeper, the buoyant force on
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!