A bicycle and a car are both traveling at a rate of 5 m/s. Which statement is true?
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A
The bicycle has more kinetic energy than the car.
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B
The bicycle has less kinetic energy than the car.
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C
Both vehicles have the same amount of kinetic energy.
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D
Only the car has kinetic energy.
The car possesses substantially greater kinetic energy than the bicycle.
This is because despite both traveling at 5 m/s, kinetic energy scales linearly with mass when velocity is identical. With the car's mass typically exceeding the bicycle's by two orders of magnitude, its kinetic energy proportionally exceeds the bicycle's even at matching speeds.
A) The bicycle has more kinetic energy than the car.
This contradicts the kinetic energy equation since the bicycle's mass is substantially smaller than the car's while velocities match. With velocity identical (5 m/s) for both, KE becomes proportional solely to mass. A typical bicycle (≈10 kg) cannot possess greater kinetic energy than a typical car (≈1,500 kg) at equal speeds.
B) The bicycle has less kinetic energy than the car.
Kinetic energy scales linearly with mass when velocity is constant. Both vehicles travel at 5 m/s, but the car's mass (typically 1,000–2,000 kg) vastly exceeds the bicycle's mass (typically 10–20 kg). Therefore, the car possesses proportionally greater kinetic energy, often 100 times more, despite identical velocities.
C) Both vehicles have the same amount of kinetic energy.
Equal kinetic energy would require either identical masses (impossible for bicycle vs. car) or compensating velocity differences (not present here). Since KE = ½mv² and v is identical while m differs dramatically, their kinetic energies cannot be equal. This option ignores the mass dependence inherent in the kinetic energy formula.
D) Only the car has kinetic energy.
Any object with non-zero mass moving at non-zero velocity possesses kinetic energy. The bicycle's motion at 5 m/s guarantees it has kinetic energy, albeit substantially less than the car's. This option incorrectly suggests a velocity threshold below which kinetic energy vanishes, contradicting fundamental physics principles.
Conclusion
Kinetic energy depends on both mass and velocity squared, making mass a critical determinant when velocities match. A car traveling at the same speed as a bicycle possesses substantially greater kinetic energy due to its larger mass, a principle with profound implications for vehicle safety, collision dynamics, and energy transfer in mechanical systems.

Topic Flashcards
Click to FlipWhat is the formula for calculating the kinetic energy (KE) of a moving object? Define each variable.
KE=i/2mv2,where m is the object's mass (in kg) and v is its speed (in m/s).
Object A has a mass of 10 kg and Object B has a mass of 40 kg. If both are moving at the same speed of 3 m/s, how many times greater is the kinetic energy of Object B compared to Object A?
4 times greater. (Since K E ∝ m KE∝m when v is constant, and B has 4 times the mass of A, its KE is 4 times larger).
A car has 9 times the kinetic energy of a bicycle when they are traveling at the same speed. What is the ratio of the car's mass to the bicycle's mass?
9 to 1. (From K E ∝ m KE∝m, if the velocities are equal, the ratio of kinetic energies equals the ratio of their masses).
How does the kinetic energy of an object change if its speed is doubled while its mass remains the same?
The kinetic energy increases by a factor of 4. (Since K E ∝ v 2 KE∝v 2 , doubling v means KE new=1/2m(2v)2=4*1/2mv2)
Can a less massive object ever have more kinetic energy than a more massive object? If so, what condition must be met?
Yes. The less massive object must have a high enough speed so that its v 2 v 2 term compensates for its smaller mass. Specifically, its speed must be greater by a factor larger than the square root of the mass ratio.