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Method / Topic: Physics
The initial kinetic energy is ½mv² = ½(1500)(20²) = 300,000 J. Constant braking force does work Fd equal in magnitude to this energy loss, so F = 300,000/50 = 6000 N. Equivalently, v² = u² + 2as gives |a| = 4 m/s² and F = m|a| = 6000 N. This result follows from the stated physical model and consistent SI units. For MCAT physics, first identify the system, list known quantities, and choose the governing relationship before substituting numbers. Track direction, signs, exponents, and unit conversions; then test whether the magnitude is physically reasonable. Common distractors omit a round trip, confuse radius with area, ignore an inverse-square or fourth-power dependence, use peak instead of average behavior, or mix stored energy with dissipated power. In clinical and laboratory settings, the same
helps interpret imaging depth, fluid flow, electrical discharge, forces, and energy safely. A final dimensional check should reproduce the unit requested in the
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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
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- Mark the given values and the exact target.
- Apply the relevant formula, rule, or concept.
- Check the final value against the options.
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Correct Answer:
Method / Topic: Physics
The initial kinetic energy is ½mv² = ½(1500)(20²) = 300,000 J. Constant braking force does work Fd equal in magnitude to this energy loss, so F = 300,000/50 = 6000 N. Equivalently, v² = u² + 2as gives |a| = 4 m/s² and F = m|a| = 6000 N. This result follows from the stated physical model and consistent SI units. For MCAT physics, first identify the system, list known quantities, and choose the governing relationship before substituting numbers. Track direction, signs, exponents, and unit conversions; then test whether the magnitude is physically reasonable. Common distractors omit a round trip, confuse radius with area, ignore an inverse-square or fourth-power dependence, use peak instead of average behavior, or mix stored energy with dissipated power. In clinical and laboratory settings, the same
helps interpret imaging depth, fluid flow, electrical discharge, forces, and energy safely. A final dimensional check should reproduce the unit requested in the
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