Exploring Energy Dynamics Main Idea Check (25 mins long)

Which relationship is represented by the straight line in the graph shown?

• Linear relationship with mass

• Quadratic relationship with speed

• Exponential relationship with mass

• Linear relationship with speed

What happens to the kinetic energy of an object if you double its mass while keeping the speed constant?

• The kinetic energy quadruples.

• The kinetic energy halves.

• The kinetic energy remains the same.

• The kinetic energy doubles.

If you double the speed of an object, what happens to its kinetic energy?

• The kinetic energy doubles.

• The kinetic energy halves.

• The kinetic energy quadruples.

• The kinetic energy remains the same.

Based on the information provided, which factor has a significantly greater effect on kinetic energy: mass or speed?

• Mass

• Speed

• Both equally

• Neither

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Why does speed have a greater effect on kinetic energy than mass?

• Because kinetic energy is proportional to the square of speed.

• Because kinetic energy is proportional to the cube of mass.

• Because kinetic energy is proportional to the square root of speed.

• Because kinetic energy is proportional to the mass only.

What does the variable "m" represent in the kinetic energy formula KE = 1/2 mv²?

• Mass (kg)

• Velocity (m/s)

• Momentum (kg·m/s)

• Acceleration (m/s²)

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In the kinetic energy formula KE = 1/2 mv², what does the variable "v" represent?

• Volume

• Velocity (m/s)

• Voltage

• Viscosity

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Why does speed (velocity) dominate the calculation of kinetic energy in the formula KE = 1/2 mv²?

• Because mass is squared in the formula

• Because velocity is squared in the formula

• Because mass is cubed in the formula

• Because velocity is not used in the formula

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Which type of energy increases when the height of a ramp is raised before the car starts moving?

• Kinetic energy

• Thermal energy

• Potential energy

• Electrical energy

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Explain why a car has higher speed at the bottom of a higher ramp compared to a lower ramp.

• Because the car is heavier.

• Because the ramp is smoother.

• Because more potential energy is converted to kinetic energy.

• Because the car is pushed harder.

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