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
ozzi
3 years ago
10

A cable that weighs 4 lb/ft is used to lift 1000 lb of coal up a mine shaft 700 ft deep. Find the work done.

Physics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

<h2>980000ft-lbs</h2>

Explanation:

Step one:

given data

mass of cable= 4lb/ft

mass of coal= 1000lb

dept of mine= 700ft

Step two:

Required

the work-done to lift the coal and the rope combined

Work-done to lift coal

Wc=1000*700= 700,000 lb-ft

Work-done to lift rope

Wr=\int\limits^{700} _0 {4(700-y)} \, dx \\\\Wr=4(700y-\frac{1}{2}y^2 )\limits^{700}_0

substitute y=700 we have, since y=0 will result to 0

Wr=4(700*700-\frac{1}{2}*700^2 )\\\\Wr=4(490000-245000)\\\\Wr=4(245000)\\\\Wr=980000ft-lbs

You might be interested in
1.) Rn-222 decays from 400 grams to 6.25 grams in 240 minutes. How long is one “half-life.
KiRa [710]

Answer:

40

Explanation:

7 0
3 years ago
The 45-g arrow is launched so that it hits and embeds in a 1.40 kg block. The block hangs from strings. After the arrow joins th
worty [1.4K]

Question: How fast was the arrow moving before it joined the block?

Answer:

The arrow was moving at 15.9 m/s.

Explanation:

The law of conservation of energy says that the kinetic energy of the arrow must be converted into the potential energy of the block and arrow after it they join:

\dfrac{1}{2}m_av^2 = (m_b+m_a)\Delta Hg

where m_a is the mass of the arrow, m_b is the mass of the block, \Delta H of the change in height of the block after the collision, and v is the velocity of the arrow before it hit the block.

Solving for the velocity v, we get:

$v = \sqrt{\frac{2(m_b+m_a)\Delta Hg}{m_a} } $

and we put in the numerical values

m_a = 0.045kg,

m_b = 1.40kg,

\Delta H = 0.4m,

g= 9.8m/s^2

and simplify to get:

\boxed{ v= 15.9m/s}

The arrow was moving at 15.9 m/s

6 0
3 years ago
What is the meaning of diversity and find evidence in the source which show that all South Africans should accept and honour div
maksim [4K]

Diversity involves the inclusion of people which have various backgrounds and differences.

<h3>What is Diversity?</h3>

This involves people from a range of different social and ethnic backgrounds and of different genders, etc living in a given area at a given time.

It is best for all South Africans to accept and honour diversity as discrimination is wrong and individuals are unique and equal.

Read more about Diversity here brainly.com/question/1136627

4 0
1 year ago
An object has an acceleration of 6.0 m/s/s. if the net force acting upon this object were doubled, then its new acceleration wou
Flauer [41]
F has direct relation with a
then doubling F cause acc. to get double i:e 6×2=12
5 0
3 years ago
Batman (95kg) is standing on top of a 50m high building looking out over the city of Gotham. Given that he uses the potential en
Oksanka [162]

Answer:

47 kJoules (kJ)

Explanation:

Potential enegy on Earth is given by the relationship:

P.E. = mgh, where m is mass, g is the acceleration due to Earth's gravity, and h is height. Since we are given metric values, we will look for an answer that is consistent with Joules, the metric measure of energy. 1 Joule is defined as 1 kg*m^2/s^2, so we wnat units of kg, m, and sec.

We are given:

m = 95kg

h = 50 meters

Earth's gravity, g is 9.8 m/s^2

Enter the data:

P.E. = mgh

P.E. = (95kg)(9.8m/s^2)(50m)

P.E. = 46550 kg*m^2/s^2 or 46550 Joules(J)

Since we only have 2 sig figs, and since 1kJ =- 1000J

We can state the potential energy is 47kJ.

Spiderman has 47kJ of potential energy for the start of any dive back to Earth. [He needed that same amount of energy to reach that height, but we don't know from where it came. A jump, helicopter, beamed up by Scotty, or tossed up by Doctor Octopus.]

3 0
1 year ago
Other questions:
  • After a 50-kg person steps from a boat onto the shore, the boat moves away with a speed of 0.70 m/s with respect to the shore. I
    13·2 answers
  • What is the most basic level of knowledge that contains the most specific concepts
    11·1 answer
  • Wings of a bird what kind of motion is it
    6·1 answer
  • When time is measured in​ days, the decay constant for a particular radioactive isotope is 0.16. Determine the time required for
    5·2 answers
  • A student was heard saying "the mass of a ball on the moon is one sixth it's mass on earth"Give a reason why this statement is w
    14·2 answers
  • Please help me on this physics, i got confused​
    7·1 answer
  • Anyone know the answer
    15·1 answer
  • Find out how the position of the Sun would be different at 12:00 midday in December than in June. What path would the sun take f
    10·1 answer
  • Someone please answer this, ill give you brainliest and your getting 100 points.
    13·1 answer
  • F. If heat could flow to the container, how would the final temperature be affected?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!