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
brilliants [131]
3 years ago
9

A leaky 10-kg bucket is lifted from the ground to a height of 14 m at a constant speed with a rope that weighs 0.5 kg/m. Initial

ly the bucket contains 42 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 14-m level. Find the work done. (use 9.8 m/s2 for g.)
Physics
1 answer:
Lina20 [59]3 years ago
5 0

solution:

Weight of bucket = 10kg

Length or distance =14m

Weight of rope=0.5kg/m

At any point x of the rope,

=(0.5)(14-x)

=(7-0.5x)

Since the water finishes draining at 14m level and total weight of water is 42kg

Total mass=(7-0.5x)+(42-3x)+10=(59-3.5x)kg

Force=(9.8)(59-3.5x)

work w =\lim_{n \to \infty }\sum_{i \to 1}^{n}(9.8)(59-3.5x)\Delta x\\=\int_{0}^{14}(9.8)(59-3.5x)dx\\=9.8\int_{0}^{14}(59-3.5x)dx\\9.8((59x-\frac{3.5x^2}{2})){_{0}}^{14}\\9.8(59(14)-\frac{3.5(14)^2}{2})\\=4733.4\\therefore,\\W=4733.4J\approx 4733J

You might be interested in
Limestone formations in caves are considered what kind of weathering?
Zanzabum

Answer:

A.

Explanation:

because the carbonic acid reacts to the limestone.

8 0
2 years ago
Please I need help! This is the last question I need for this assignment!
Ne4ueva [31]

Answer:

When the same amount of heat is added to cold sand and cold water, the temperature change of sand will be higher because of its lower specific heat capacity.

What is specific heat capacity?

Specific heat capacity is the quantity

of heat required to raise a unit mass of

a substance by 1 kelvin.

Specific heat capacity of water and sand

{<em>refer to the above attachment}</em>

Δθ = Q/mc

Thus, for an equal mass of water and sand, when the same amount of heat is added to cold sand and cold water, the temperature change of sand will be higher because of its lower specific heat capacity.

6 0
2 years ago
If there is a negative sign in front of the Hooke's Law equation, what does the force, F, represent?
solong [7]

Answer:

C) The restoring force

Explanation:

Hooke's Law states that the restoring force acting on a spring is given by the equation:

F=-kx

where

k is the spring constant

x is the displacement of the spring from its equilibrium position

The negative sign in the equation tells the direction of the restoring force. In fact, this force tends to bring the spring back to its equilibrium position: so, the force is always in opposite direction to the displacement.

This means that when the spring is stretched to the right, the restoring force tends to bring it back to the left, to the equibrium position; if the spring is compressed to the left, the restoring force tends to bring it back to the right, to the equilibrium position.

So the correct option is

C) The restoring force

3 0
3 years ago
radio signals emitted from and received by an airplane have her fruit frequency of 3.00 * 10 to the 12th Hertz and travel at the
Elanso [62]

here we know that the speed of the signal is same as the speed of light

so here we will have

v = 3 \times 10^8 m/s

the altitude of the airplane is given as

h = 1 \times 10^4 m

now we know that time taken by the signal to reach the control tower is given as

t = \frac{d}{v}

now it is given as

t = \frac{1 \times 10^4 }{3 \times 10^8}

t = 3.33 \times 10^{-5} s

so above is the time taken by the signal to reach the control tower

3 0
3 years ago
When you rub a balloon on a sweater or your hair, the what is transferred to the balloon giving it a what charge. The balloon wi
Elis [28]

Answer:

When you rub a balloon on a sweater or your hair, the <u>electrons</u> are transferred to the balloon giving it a <u>negative</u> charge. The balloon will then <u>repel</u> any object that has a different charge.

hope this helps :)

5 0
3 years ago
Other questions:
  • How are stars important to the Milky Way
    8·2 answers
  • While online last week, you saw the following advertisement:
    11·2 answers
  • A baseball, which has a mass of 0.685 kg., is moving with a velocity of 38.0 m/s when it contacts the baseball bat duringwhich t
    15·2 answers
  • Which letter below represents a nucleotide?<br> A.<br> D.<br> B.<br> C
    5·2 answers
  • A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the sheet on each side through a
    11·1 answer
  • A toy car on a string is pulled across a table horizontally. The string is at an angle
    5·1 answer
  • Scientists aboard the International Space Station are threatened by a 2.8 kg meteor hurtling toward them at 5.4 x 103 m/s. They
    15·1 answer
  • The center of the Hubble space telescope is 6940 km from Earth’s center. If the gravitational force between Earth and the telesc
    9·2 answers
  • What are the conditions under which the resultant of three coplanar forces is zero?<br>​
    11·1 answer
  • Thermodynamics
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!