An 8.0-kg block is released from rest on a rough incline. The block moves a distance of 1.6-m down the incline, in a time interval of 0.80 s, and acquires a velocity of v2 = 4.0 m/s. How much work does gravity do on the block during this process?

Answers

Answer 1

Gravity does 62.72 J of work on the block during this process.

What is work done?

Work is defined as the energy transferred to or from an object by the application of a force over a distance. In other words, work is done when a force acts on an object to cause it to move in the direction of the force.

To calculate the work done by gravity on the block, we need to find the change in the gravitational potential energy of the block as it moves down the incline. We can do this by using the formula:

ΔU = mgh

where ΔU is the change in potential energy, m is the mass of the block, g is the acceleration due to gravity, and h is the height change of the block.

The height change of the block is equal to the vertical distance it moves down the incline, which can be found using trigonometry:

h = d sin θ

where d is the distance the block moves down the incline and θ is the angle of the incline.

We are given that the block moves a distance of 1.6 m down the incline, but we are not given the angle of the incline. However, we can use the given information about the block's velocity to find the angle.

The block starts from rest and acquires a velocity of 4.0 m/s after moving a distance of 1.6 m in 0.80 s. We can use the kinematic equation:

v2 = v1 + 2ad

where v1 is the initial velocity (which is zero), a is the acceleration, and d is the distance.

Rearranging this equation gives:

a = (v2 - v1) / (2d) = 5.0 m/s^2

The acceleration of the block is equal to the component of gravity parallel to the incline, which is g sin θ, where g is the acceleration due to gravity (9.8 m/s^2). So we have:

g sin θ = a

sin θ = a / g = 0.51

Taking the inverse sine of both sides gives:

θ = 30°

Now we can calculate the height change of the block:

h = d sin θ = 1.6 m * sin 30° = 0.8 m

Finally, we can calculate the work done by gravity:

ΔU = mgh = (8.0 kg) * (9.8 m/s^2) * (0.8 m) = 62.72 J

Therefore, gravity does 62.72 J of work on the block during this process.

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Related Questions

3. The hydraulic jack is filled with oil as shown in the figure 9 below. If F1 = 2580 N is applied piston with diameter d₁ = 5 cm and d2 = 10 cm. Calculate the force applied to a large piston F2. A. 1.34 x 108 N 5 cm diaricte Figure 9 10 cm diameter Vertical 01 S 0.85) [2]​

Answers

Answer:

The force applied to the large piston is 1.34 x 10^8 N.

How does today's stereotyping, bias, and racial profiling intersect with religion? Are personal opinions fueled by social media outlets affecting how we understand or view religious beliefs?

Answers

Answer:

Today's stereotyping, bias, and racial profiling can intersect with religion in several ways. In many cases, individuals who are members of certain religious groups may be subject to stereotyping and prejudice based on their beliefs, dress, or appearance. This can lead to bias and discrimination in employment, housing, and other areas of life.

Racial profiling, or the use of race or ethnicity as a factor in law enforcement practices, can also intersect with religion in cases where individuals of certain religious groups are targeted for surveillance or scrutiny based on their perceived association with terrorism or other criminal activities. This can lead to a breakdown of trust between law enforcement and the affected communities, and can have negative consequences for public safety.

Personal opinions fueled by social media outlets can also affect how we understand or view religious beliefs. Social media can provide a platform for individuals to express their opinions and beliefs, but it can also perpetuate stereotypes and misinformation about certain religious groups. This can lead to polarization and divisiveness, and can contribute to a climate of fear and suspicion towards certain religious groups.

To address these issues, it's important to promote education and awareness about different religious beliefs and practices, and to work towards building inclusive and respectful communities. This can involve engaging in dialogue with individuals from different religious backgrounds, challenging stereotypes and prejudices, and advocating for policies that promote equity and justice for all.

Explanation:

brain

The potential difference of a cell or battery tells you the size of the _____, and how much _____ can be transferred by the charges.


Chapter: Potential Difference

Answers

The potential difference of a cell or battery tells you the size of the voltage, and how much energy can be transferred by the charges.

What is energy?

Energy is the ability to do work. It is a fundamental part of nature and it takes several different forms. These forms include kinetic energy, potential energy, thermal energy, electrical energy, chemical energy, and nuclear energy. Kinetic energy is the energy of motion and it can be found in moving objects. Potential energy is the stored energy an object has due to its position or state. Thermal energy is heat and it is related to the motion of molecules. Electrical energy is the energy of electric current and it is carried by electrons. Chemical energy is the energy stored in the bonds of atoms and molecules. Nuclear energy is the energy stored in the nucleus of an atom, released through nuclear reactions such as fission and fusion. In order to do work, energy must be transformed from one form to another. This is done through energy conversion, which involves the transfer of energy from one form to another.


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Answer:

The potential difference of a cell or battery tells you the size of the voltage, and how much energy can be transferred by the charges.

Explanation:

Potential difference is defined as the amount of work done per unit charge in moving a charge from one point to another in an electric field. In the case of a cell or battery, the potential difference between its terminals is a measure of the electrical energy that can be transferred by the charges as they flow through an external circuit. The higher the potential difference, the more electrical energy can be transferred per unit charge.

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A crate of aluminum recyelables (mass m =4.00 kg ) is launched from rest by a spring that is compressed by 25.0 cm. The spring constant is 2750 N/m. The first crate collides With a second crate that is initially at rest. Immediately after the collision, the first crate bounces off to the left at 1.50 m/s, and the second crate slides to the right at 4.50 m/. The second crate then collides and sticks to a third Crate mass 3kg ), and they continue traveling to the right.
Solve for the speed of the first crate (m1) immediately before the first collision.
Solve for the mass of the second crate (m2).
Solve for the speed of the third crate (m3) after its collision.
How much energy is lost in the first collision?
How much energy is lost in the second collision?

Answers

The speed of the first crate (m1) immediately before the first collision is 8.97 m/s. The mass of the second crate (m2) is 4.00 kg.

What is speed ?

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in units of distance per unit of time, such as miles per hour or meters per second. Speed is a scalar quantity, meaning it only has magnitude and not direction. This means that when an object moves faster, its speed increases, but its direction remains the same. Speed can also refer to the rate at which something happens, such as the speed at which a chemical reaction occurs.

The speed of the third crate (m3) after its collision is 2.40 m/s.The energy lost in the first collision is 271.4 J.The energy lost in the second collision is 89.8 J.

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(ii) Given instead that G=0 and the forces are in equilibrium, find the values of F and alpha

Answers

If G = 0 and the forces are in equilibrium, then the net force on the object must be 0. This means that the sum of the forces must be 0. The values of F and α are 8N and -19.47° .

What is force ?

Force is a physical quantity that describes the interaction between two or more objects. It is a vector quantity, meaning it has both magnitude and direction. Forces can cause an object to accelerate, decelerate, change direction, or remain in its current state of motion. Some examples of forces include gravity, friction, and electromagnetic forces. Force is one of the most fundamental concepts in physics and is the basis of many physical phenomena. It is essential to understand forces in order to understand how the universe works.

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What is one danger that astronauts would face going to the moon, visiting the moon, or returning to Earth?​

Answers

One danger that astronauts would face going to the moon, visiting the moon, or returning to Earth is exposure to radiation. The space environment exposes astronauts to high levels of ionizing radiation from cosmic rays and solar flares, which can damage their DNA and increase their risk of developing cancer or other health problems. Additionally, during a moon landing or takeoff, astronauts are exposed to radiation from the lunar surface, which contains radioactive elements such as uranium and thorium. To minimize this risk, spacecraft and spacesuits are designed to provide some protection from radiation, and astronauts are carefully monitored for radiation exposure.

Look at the simple machine shown below and determine the mechanical
advantage.
3.4m
A. 3.0
OB. 4.9
C. 0.2
D. 1.4
0.7 m

Answers

The basic machine in the question has a mechanical advantage of 4.9, B.

How to determine mechanical advantage?

To determine the mechanical advantage of the simple machine, use the formula:

Mechanical Advantage (MA) = output force / input force

Use the formula for the lever arm:

lever arm = distance from pivot to point of force

For the input force, the lever arm is 0.7 meters. For the output force, the lever arm is 3.4 meters.

So, the mechanical advantage is:

MA = output force / input force = lever arm of output force / lever arm of input force = 3.4 / 0.7 = 4.9

Therefore, the mechanical advantage of the simple machine shown in the question is 4.9.

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A light rigid rod with two masses attached to its ends is pivoted about a horizontal axis into the page. The system rotates with a constant angular velocity w. What is the angular momentum of the system?

Answers

The angular momentum of the system is given by the product of the moment of inertia and the angular velocity. Since the rod is light and rigid, we can consider the two masses as point masses located at the ends of the rod.

Let m1 and m2 be the masses at the ends of the rod, and let r be the distance from the axis of rotation to each mass. The moment of inertia of each mass about the axis of rotation is given by I = mr^2. Since the masses are symmetrically arranged about the axis of rotation, the total moment of inertia of the system is I = 2mr^2.

The angular momentum of each mass is L = Iw = 2mr^2w. The angular momentum of the system is the sum of the angular momentum of each mass, so we have:

L_total = L1 + L2 = 2mr^2w + 2mr^2w = 4mr^2w

Therefore, the angular momentum of the system is 4mr^2w

Vincent carrying his luggage with a mass of 10.5kg . If he does 100J of work to what height will raise it?

Answers

The height of the luggage with work done of 100J with a mass of 10.5 kg is 0.97m.

Work done equals the product of force and displacement. The energy that gets transferred by the force to move a object is called work done. Work done is equal to the potential energy of the object.

Work done = potential energy

                   = m×g×h

m is the mass of the luggage = 10.5 kg

g is the acc. due to gravity = 9.8 m/s

W is the work done = 100J

h (height) = W / (m×g)

               = 100 / ( 10.5×9.8)

              = 0.97 m

Thus, the luggage rises above the ground with a height of 0.97 m.

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What energy transformation takes place when you climb a ladder?
A. Mechanical energy transforms into elastic energy.
B. Potential energy transforms into thermal energy.
O C. Potential energy transforms into kinetic energy.
D. Kinetic energy transforms into potential energy.
SUBM

Answers

When you climb a ladder, your potential energy increases as you move upwards against gravity. Therefore, the energy transformation that takes place when you climb a ladder is:

Potential energy transforms into kinetic energy.

So, the correct answer is C.

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