A rope pulls on a metal box at an angle of 60.0° with a force of 255 N. The box moves horizontally for 15.0 m. How much work was done on the box?

Answers

Answer 1
The work done by the rope on the box is equal to:
[tex]W=Fd \cos \theta[/tex]
where F is the force applied by the rope, d the  distance covered by the box and [tex]\theta [/tex] is the angle between the direction of the force and of the displacement.

Using the data of the problem: [tex]F=255 N[/tex], [tex]d=15.0 m[/tex] and [tex]\theta = 60^{\circ}[/tex], we find the work:
[tex]W=(255 N)(15.0 m)(\cos 60^{\circ})=1912.5 J[/tex]
Answer 2

Final answer:

The work done on the box is found by first calculating the horizontal component of the applied force and then multiplying it by the distance moved. The total work done is 1912.5 Joules.

Explanation:

The question involves calculating the work done on a metal box which is being pulled horizontally by a rope exerting a force at an angle. This is a classic physics problem that involves understanding the components of force and the definition of work in a physical context.

To calculate the work done on the box, we need to find the component of the force that acts in the direction of the box's movement (horizontal direction). The force is given as 255 N at an angle of 60°. The horizontal component (Fhorizontal) of this force is F * cos(θ), which gives 255 N * cos(60°) = 127.5 N. The work done (W) is the product of this horizontal force component and the distance (d) over which it acts. Hence, W = Fhorizontal * d = 127.5 N * 15.0 m = 1912.5 Joules.


Related Questions

PLEASE HELP I'M LOST.
Match the definitions with the correct name.
(A )A force that all objects have.
(B) A positive particle in the nucleus of an atom.
(C) A negative particle always in motion surrounding the nucleus of an atom.
(D) What two opposite charges do.
(E) What two like charges do.

names:
1. Proton
2. Electron
3. Electric charge
4. Attract
5. Repel

Answers

A - 3
B - 1
C - 2
D - 4
E - 5

fossils of a shellfish was found high on the top of a mountain

Answers

Answer: the rocks of the mountain were once under water

(just took the test)

Basically the mountain was once covered in water and fish lived there, so when there was some sort of drought the fish died leaving their fossils behind

The stratified rocks of the Himalayas are abundant with fossils of extinct marine plants and coral reef remnants, as well as the remains of ancient inhabitants of the Tethys Sea. The truth about the Himalayas' genesis is revealed by the finding of these fossils.

What fossils of a shellfish were found high on mountain?

Whale and other marine mammal fossils have been discovered in the Andes, proving that the South American mountain range rose quickly from the sea.

The limestone strata of the highest and youngest mountain ranges in the Himalayan include shells, pebbles, and marine fossils, providing geological proof that the Tethys Sea was the source of the Himalayas' formation.

Therefore, In essence, the mountain was originally submerged in water, where fish once thrived. When there was a drought, the fish perished and left behind fossils.

Learn more about fossils here:

https://brainly.com/question/14988327

#SPJ3

a 90 kg architect is standing 2 meters from the center of a scaffold help up by a rope on both sides. the scaffold is 6m long and has a mass of 200kg. what is the tension on each rope

Answers

We can solve the problem by requiring the equilibrium of the forces and the equilibrium of torques.

1) Equilibrium of forces:
[tex]T_1 - W_p - W_s + T_2 =0[/tex]
where
[tex]W_p = (90kg)(9.81 m/s^2)=883 N[/tex] is the weight of the person
[tex]W_s = (200kg)(9.81 m/s^2)=1962 N[/tex] is the weight of the scaffold
Re-arranging, we can write the equation as
[tex]T_1 = 2845 N-T_2[/tex] (1)

2) Equilibrium of torques:
[tex] T_1 \cdot 3 m - W_p \cdot 2 m - T_2 \cdot 3m =0[/tex]
where 3 m and 2 m are the distances of the forces from the center of mass of the scaffold.
Using [tex]W_p = 883 N[/tex] and replacing T1 with (1), we find
[tex]2845 N \cdot 3 m - T_2 \cdot 3 m - 833 N \cdot 2 m - T_2 \cdot 3 m=0[/tex]
from which we find
[tex]T_2 = 1128 N[/tex]

And then, substituting T2 into (1), we find
[tex]T_1 = 1717 N[/tex]

The density of aluminum is 2.7 g/cm3. What is the volume of a piece of aluminum if its mass is 8.1 grams?

Answers

density = 2.7g/cm3
mass =8.1grams
from density =(mass)/volume 
we can determine the volume of aluminium by simply changing the subject of the subject of the formula from density to volume 
so we have 

volume=mass/density
            =(8.1grams)/(2.7g/cm3)
            =3cm3
Final answer:

To find the volume of a piece of aluminum with a mass of 8.1 grams and a density of 2.7 g/cm³, calculate the volume by dividing mass by density, giving you a volume of 3 cm³.

Explanation:

The density of aluminum is given as 2.7 g/cm³. If the mass of a piece of aluminum is 8.1 grams, you can calculate its volume using the formula density (p) = mass (m) / volume (V). In this case, you would rearrange the formula to solve for volume, resulting in V = m / p. Plugging in the known values, we get V = 8.1 g / 2.7 g/cm³.

After performing the division, we find the volume of the piece of aluminum is 3 cm³. Thus, the piece of aluminum has a volume of 3 cubic centimeters for its mass of 8.1 grams when the density is 2.7 g/cm³.

Little Joey jumps into a pool on a cool fall morning. How can we describe the direction of energy transfer and temperature change between Joey and the water?

A) Energy is transferred from Joey to the water. The temperature of the water increases.
B) Energy is transferred from the water to Joey. The temperature of the water increases.
C) Energy is transferred from the water to Joey. The temperature of the water decreases.
D) Energy is transferred from the Joey to the water. The temperature of the water decreases.

Answers

Hello!

Energy always flows from hot to cold so the best answer would be A. Even though it will be a small change due to the difference in masses and the difference in body temp and the pool water on a cool morning.

Hope this helps. Just remember heat/energy always flows from hot to cold. Never the reverse. So whatever is more hot has heat energy to give up to the other.

Any questions please ask. Thank you so much.

Answer:

A

Explanation:

A scientist testing the effects of a new medicine that will treat anemia, a blood disorder, uses a sample size of 15 patients for a study. All of the patients are from the same large city, are of varying ages, and are male. What is an accurate statement regarding this investigation?

Answers

All 15 patients will most likely have the same test results reguarding the ages would make the results vary

if this isnt a statement listed please Comment/Respond telling me the statements and I will answer to the best of my ability

Hope this helped!!

Based on the diagram of a roller coaster car on a roller coaster track, what statement is true?
A) The car at point A has more kinetic energy than the car at point C.
B) The car at point C has less kinetic energy than the car at point B.
C) The car at point C has more kinetic energy than the car at point B.
D) The car at point D has less potential energy than the car at point B.

Answers

Answer:

B) The car at point C has less kinetic energy than the car at point B.

Explanation:

We have two types of energy involved in this situation:

- Gravitational potential energy: this is the energy related to the heigth of the car, and it is given by [tex]U=mgh[/tex], where m is the mass of the car, g is the gravitational acceleration, and h is the heigth of the car. The potential energy is higher when the car is located higher above the ground.

- Kinetic energy: this is the energy due to the motion of the car, and it is given by [tex]K=\frac{1}{2}mv^2[/tex], where m is the mass of the car and v is its speed. The kinetic energy is higher when the speed of the car is higher.

- The law of conservation of energy states that the total mechanical energy of the car (sum of potential energy and kinetic energy: [tex]E=U+K[/tex]) is constant). This implies that when the car is at a higher point, the kinetic energy is less (because U is larger, so K must be smaller), while when the car is at a lower point, the kinetic energy is larger.

- Based on what we have written so far, we can conclude that the correct statement is:

B) The car at point C has less kinetic energy than the car at point B.

Because the car at point C is located at a higher point than point B, so the car at point C has larger potential energy than at point B, which implies that car at point C has less kinetic energy than the car at point B.

Answer: The answer is C

A car at point B has more kinetic energy than the car at point D.

Kinetic energy is energy at work.

Potential energy is stored energy.

We spend our lives in visible light without risks to our health. Yet exposure to UV waves in sunlight can cause skin cancer. What is the BEST explanation for this? A) UV waves are longer and carry more energy. B) UV waves are higher frequency and carry more energy. C) UV waves have a lower frequency and carry more energy. Eliminate D) UV waves travel faster than visible light and have more energy.

Answers

It's B. The higher the frequency the more the energy.

Answer:

B) UV waves are higher frequency and carry more energy.

Explanation:

The light that we see around us is called visible light which is just 7% of the complete electromagnetic wave spectrum. This EM spectrum has other waves as well such as gamma, UV, IR, Radio etc. These waves are classified according to their wavelengths and frequency.

Gamma rays have the highest frequency and thus are most energetic while radio waves smallest frequency and least energy.

The UV waves coming from the Sun have higher frequency than visible light and thus are more energetic. This is the reason that UV waves can cause skin cancer. The ozone layer in the atmosphere absorbs the UV waves. The increased level of pollution is affecting this layer and thus increasing the exposure to UV waves and hence risk of skin cancer.

While exploring a section of land far from the sea, an explorer discovers a dome-shaped geologic structure with gently sloping sides. Which of the following has the explorer most likely discovered?

Answers

If your choices are the following:

A faultblock mountain
A folded mountain
A hotspot volcano
A volcanic arc

Then the answer is  A folded mountain. It is formed when an earthquake happened and this was the result of the movement of the plates.

Answer:

the answer is  A folded mountain. It is formed when an earthquake happened and this was the result of the movement of the plates.

At 10–10 s during the evolution of the universe, formed, which are elementary particles that make up protons and neutrons.

Answers

quarks make up protons and neutrons

Proton is the fundamental particle  that is found in every elements.Similarly neutron is also present in every atoms except normal hydrogen atom though it is present  in other isotopes of hydrogen also

The proton and neutron are included in the hadron family which are composed of  quark particles .

There are various types of quark particles with their anti particles also. These are named as UP, DOWN, TOP,BOTTOM,CHARM and STRANGE with their anti particles like ANTI-UP,DOWN etc.

These are held by strong forces just like electromagnetic force and becomes the building block of protons and neutrons.

One proton is made up of two up quarks and one down quark. The charge of one up quark is [tex]= +\frac{2}{3}e[/tex] and charge of one down quark is [tex]-\frac{1}{3} e[/tex]

Hence charge of proton is[tex]2/3+2/3+[-1/3][/tex] e

                                         = +e [tex]i.e 1.6702*10^{-19} coulomb[/tex]

One neutron is made up of one up quark and two down quarks.

Hence charge of neutron is- [tex]2/3+[-1/3]+[-1/3][/tex] e

                                           =0


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