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
Marat540 [252]
3 years ago
11

A 10.2-kg mass is located at the origin, and a 4.6-kg mass is located at x = 8.1 cm. Assuming g is constant, what is the locatio

n of the center of mass xcom and the location of the center of gravity xcogof the two masses? Are the locations the same? Why or why not?
Physics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

center of mass of the two masses will lie at x = 2.52 cm

center of gravity of the two masses will lie at x = 2.52 cm

So center of mass is same as center of gravity because value of gravity is constant here

Explanation:

Position of centre of mass is given as

r_{cm} = \frac{m_1r_1 + m_2r_2}{m_1 + m_2}

here we have

m_1 = 10.2 kg

m_2 = 4.6 kg

r_1 = (0, 0)

r_2 = (8.1cm, 0)

now we have

r_{cm} = \frac{10.2 (0,0) + 4.6 (8.1 , 0)}{10.2 + 4.6}

r_{cm} = {(37.26, 0)}{14.8}

r_{cm} = (2.52 cm, 0)

so center of mass of the two masses will lie at x = 2.52 cm

now for center of gravity we can use

r_g_{cm} = \frac{m_1gr_1 + m_2gr_2}{m_1g + m_2g}

here we have

m_1 = 10.2 kg

m_2 = 4.6 kg

r_1 = (0, 0)

r_2 = (8.1cm, 0)

now we have

r_g_{cm} = \frac{10.2(9.8) (0,0) + 4.6(9.8) (8.1 , 0)}{10.2(9.8) + 4.6(9.8)}

r_g_{cm} = {(37.26, 0)}{14.8}

r_g_{cm} = (2.52 cm, 0)

So center of mass is same as center of gravity because value of gravity is constant here

You might be interested in
A fish swims 12.0 m in 5.0 s. It swims the first 4.0 m in 2.0 s, the next 3.0 m in 1.2 s, and the last 5.0 m in 1.8 s. What is t
xz_007 [3.2K]
Use the distance swan and the time elapsed in that interval.

Average velocity = distance / time

Average velocity = [4.0 m + 3.0m] / 3.2 s = 2.1875 m/s 
7 0
3 years ago
Read 2 more answers
What is an example of potential energy to kinetic energy?
olga_2 [115]

Potential energy is the store she energy from an object this could include rubber bands. Kinetic energy is the energy that deals with motion a good example is a person running

6 0
3 years ago
Read 2 more answers
Your friend is bragging about his motorcycle. He claims that it can go from a stopped position to 50 miles per hour in three sec
andrew-mc [135]
Acceleration because it is at a rise in speed. The formula for acceleration is Speed/Time.
5 0
3 years ago
A man throws a ball straight up to his friend on a balcony who catches it at its highest point. The ball was thrown with an init
Ede4ka [16]

Answer:

The maximum height reached by the ball is 16.35 m.

Explanation:

Given;

initial velocity of the ball, u = 17.9 m/s

the final velocity of the ball at the maximum height, v = 0

The maximum height reached by the ball is given by;

v² = u² + 2gh

During upward motion, gravity is negative

v² = u² + 2(-g)h

v² = u² -  2gh

0 = u² -  2gh

2gh = u²

h = u² / 2g

h = (17.9)² / (2 x 9.8)

h = 16.35 m

Ttherefore, the maximum height reached by the ball is 16.35 m.

3 0
3 years ago
How does energy move through the atmosphere hydrosphere and biosphere
Anna11 [10]
<span>When the Sun’s energy moves through space, it reaches Earth’s atmosphere and finally the surface.  This radiant solar energy warms the atmosphere and becomes heat energy. This heat energy is transferred throughout the planet’s systems in three ways: by radiation, conduction, and convection</span>
5 0
3 years ago
Other questions:
  • How many electrons are there in 3.5 x 10" C?
    7·1 answer
  • Once a sound recording is made, how is the sound reproduced? by converting passive sound waves into active sound waves by conver
    8·2 answers
  • A 39.7 n object is in free fall. what is the magnitude of the net force which acts on the object? answer in units of n.
    15·1 answer
  • An engine draws energy from a hot reservoir with a temperature of 1250 K and exhausts energy into a cold reservoir with a temper
    5·1 answer
  • How long does it take to drive 500 miles at 70 mph?
    7·1 answer
  • A scientist who conducted an experiment obtained an unexpected result. What will she most likely do with the unexpected result?
    15·1 answer
  • The movement of water is able to transport minerals and nutrients. Which statement best explains why water is able to do this?
    7·2 answers
  • Derive Isothermal process through ideal gas.(anyone plzz!!)​
    5·1 answer
  • A train having speed of 85 km/h takes 5 hours to travel from Kerala to Karnataka. Calculate the distance between Kerala and Karn
    9·1 answer
  • I need some help with physics ​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!