Work, Energy & Power Concepts

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Questions and Answers

What is the definition of work in physics?

  • Work is defined as the product of force and distance in the direction of the force. (correct)
  • Work is defined as the total energy of an object.
  • Work is defined as the rate of energy transfer.
  • Work is defined as the change in kinetic energy.

Which of the following units is NOT equivalent to work?

  • Foot-pound
  • Watt (correct)
  • Joule
  • Newton metre

If a force of 20N moves an object through 15m, how much work is done?

  • 300 J (correct)
  • 400 J
  • 50 J
  • 150 J

What is the formula to calculate work done when a force is applied at an angle?

<p>Work = Fdcosθ (A)</p> Signup and view all the answers

How is the work done against gravity calculated when lifting a mass?

<p>Work = mgh (B)</p> Signup and view all the answers

A boy runs up a staircase with 30 steps, where each step is 15cm high. If his mass is 80kg and g = 10 m/s², how much work is done by the boy?

<p>3600 J (D)</p> Signup and view all the answers

When lifting a mass of 12kg through a distance of 1.25m with a force of 35N, what is the work done?

<p>43.75 J (D)</p> Signup and view all the answers

What information is needed to calculate work when a force is applied at an angle?

<p>The distance moved and angle of application. (D)</p> Signup and view all the answers

What is the formula for calculating work done?

<p>Work done = Force x distance (D)</p> Signup and view all the answers

Which type of energy is stored in the nucleus of atoms?

<p>Nuclear energy (C)</p> Signup and view all the answers

What is the unit of measurement for energy?

<p>Joules (A)</p> Signup and view all the answers

How is potential energy calculated?

<p>P.E = mass x gravity x height (B)</p> Signup and view all the answers

If a body of mass 30 kg is lifted to a height of 5 m, what is its potential energy? (Use g = 10 m/s²)

<p>1500 Joules (D)</p> Signup and view all the answers

What type of energy is characterized by a body in motion?

<p>Kinetic energy (D)</p> Signup and view all the answers

What is the potential energy of an object with a mass of 0.55 kg at a height of 14.2 m? (Use g = 10 m/s²)

<p>78.1 Joules (B)</p> Signup and view all the answers

If an object has a potential energy of 55 Joules and a mass of 15 kg, what is its height? (Use g = 10 m/s²)

<p>0.366 m (A)</p> Signup and view all the answers

Flashcards

Work

Work is done when a force moves an object some distance in the direction of the force.

Work Formula

Work = Force x Distance

Work Unit

The SI unit of work is the joule (J).

Force Calculation

Force = mass x acceleration (F=ma)

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Inclined Force Work

Work done by a force at an angle = Fd cos θ

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Lifting Work Formula

Work = mgh (lifting)

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Work Calculation Example

Calculating work done, for example, includes using the formula by plugging in the known values for force and distance.

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Calculating work against gravity

Work done against gravity is weight multiplied by the height.

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Potential Energy

Potential energy is the stored energy an object has due to its position or state. It's the energy an object has the potential to use.

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Potential Energy Formula

Potential energy (PE) is calculated by multiplying the object's mass (m), acceleration due to gravity (g), and its height (h): PE = mgh

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Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion.

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Kinetic Energy Calculation

Kinetic energy (KE) is calculated by multiplying 1/2 the object's mass (m) and the square of its velocity (v): KE = 1/2mv²

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Mechanical Energy

Mechanical energy is the total energy of an object due to its motion and position. It's the sum of its potential energy and kinetic energy.

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Forms of Energy

Energy exists in different forms, including chemical, mechanical, nuclear, sound, hydro, and solar energy.

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Study Notes

Work, Energy & Power

  • Work: Work is done when a force moves an object through a distance. For work to occur, the force must be applied in the direction of the displacement.
  • Work Formula: Work = Force x Distance x cosθ, where θ is the angle between the force and the displacement
    • Work is measured in Joules (J) or Newton-meters (Nm).
    • Force is measured in Newtons (N).
    • Distance is measured in meters (m).
  • Force: Force = mass x acceleration (F = ma)
  • Example Calculation: A force of 20N moves an object 15m. The work done is 300 Joules (20 N x 15 m = 300 J).

Different Forms of Energy

  • Energy: Energy is the ability to do work. It is measured in Joules.
  • Types of Energy:
    • Chemical Energy
    • Mechanical Energy (potential and kinetic)
    • Nuclear Energy
    • Sound Energy
    • Hydro Energy
    • Solar Energy

Potential Energy

  • Potential Energy: Energy stored in an object due to its position or configuration.
  • Gravitational Potential Energy (GPE):
    • P.E. = mgh (mass x acceleration due to gravity x height)
    • Example Calculation: An 80kg boy climbs 4.5m. GPE = 3600 J (80 kg x 10 m/s² x 4.5 m = 3600 J).

Kinetic Energy

  • Kinetic Energy: Energy an object possesses due to its motion (movement).
  • Kinetic Energy Formula: KE = 1/2mv² (one-half x mass x velocity²).
    • Mass (m) is in kilograms (kg).
    • Velocity (v) is in meters per second (m/s).
    • Kinetic energy (KE) is in Joules (J).
  • Example Calculation: A 25kg car moving at 15 m/s has kinetic energy of 2812.5 J (1/2 x 25 kg x (15 m/s)² = 2812.5 J).

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