trolley mass / kg speed / (m/s) A 2 4 B 4 2 C 1 6 D 3 3 Table 1.1 shows the mass and speed of four moving trolleys. Which trolley has the greatest kinetic e...
Question 1 Report
| trolley | mass / kg | speed / (m/s) |
|---|---|---|
| A | 2 | 4 |
| B | 4 | 2 |
| C | 1 | 6 |
| D | 3 | 3 |
Table 1.1 shows the mass and speed of four moving trolleys. Which trolley has the greatest kinetic energy?
Answer Details
The correct answer is C. Kinetic energy \( E_k = \tfrac{1}{2}mv^2 \), so speed counts twice over: A gives \( \tfrac{1}{2}(2)(4^2)=16\ \text{J} \), B \( \tfrac{1}{2}(4)(2^2)=8\ \text{J} \), C \( \tfrac{1}{2}(1)(6^2)=18\ \text{J} \), D \( \tfrac{1}{2}(3)(3^2)=13.5\ \text{J} \). C is largest because its high speed is squared.
Choosing the heaviest trolley (B) ignores that speed, not mass, dominates through the \(v^2\) term.
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