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Forces and Energy - Transfer and Transformation of Energy

Grade 5IB

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Energy is defined as the ability to do work and is measured in Joules (JJ).

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The Law of Conservation of Energy states that energy cannot be created or destroyed, it can only be transferred or transformed. The total energy remains constant: Etotal=Einitial=EfinalE_{total} = E_{initial} = E_{final}

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Energy Transformation occurs when energy changes from one form to another, such as Chemical Energy in a battery transforming into Electrical Energy.

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Energy Transfer occurs when the same type of energy moves from one object to another, such as thermal energy moving from a hot cup to a cold hand.

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Potential Energy (EpE_p) is stored energy based on an object's position or state, such as Gravitational Potential Energy (GPEGPE).

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Kinetic Energy (EkE_k) is the energy an object possesses due to its motion.

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Work is done when a force (FF) causes an object to move a distance (dd) in the direction of the force.

📐Formulae

W=F×dW = F \times d

PE=m×g×hPE = m \times g \times h

KE=12mv2KE = \frac{1}{2}mv^2

Efficiency=Useful Energy OutputTotal Energy Input×100%Efficiency = \frac{Useful \, Energy \, Output}{Total \, Energy \, Input} \times 100\%

💡Examples

Problem 1:

A student uses a force of 20 N20\text{ N} to push a box across a floor for a distance of 5 m5\text{ m}. Calculate the work done.

Solution:

W=20 N×5 m=100 JW = 20\text{ N} \times 5\text{ m} = 100\text{ J}

Explanation:

Using the formula W=F×dW = F \times d, we multiply the force applied by the distance moved to find the energy transferred to the box in Joules.

Problem 2:

Identify the energy transformations occurring in a battery-powered flashlight.

Solution:

Chemical Energy→Electrical Energy→Light Energy+Thermal Energy\text{Chemical Energy} \rightarrow \text{Electrical Energy} \rightarrow \text{Light Energy} + \text{Thermal Energy}

Explanation:

The battery stores chemical energy, which transforms into electrical energy flowing through the wires, which then transforms into light (useful) and heat (waste) in the bulb.

Problem 3:

A ball with a mass of 2 kg2\text{ kg} is held at a height of 10 m10\text{ m}. If the acceleration due to gravity is g≈9.8 m/s2g \approx 9.8\text{ m/s}^2, calculate its Gravitational Potential Energy (GPEGPE).

Solution:

PE=2 kg×9.8 m/s2×10 m=196 JPE = 2\text{ kg} \times 9.8\text{ m/s}^2 \times 10\text{ m} = 196\text{ J}

Explanation:

The formula PE=mghPE = mgh is used to calculate the energy stored due to the object's position above the ground.