Cars A and B have kinetic energies 100 J and 225 J. On braking, A stops in 1000 m and B in 1500 m. Find the ratio of the magnitudes of their average braking forces Fₐ/Fᵦ.
Options

Question

Cars A and B have kinetic energies 100 J and 225 J. On braking, A stops in 1000 m and B in 1500 m. Find the ratio of the magnitudes of their average braking forces Fₐ/Fᵦ.

G1 Physics · Accepted Answer

Step 1: From work–energy theorem, the braking work equals the loss in kinetic energy: F s = K (magnitudes). Step 2: For A, Fₐ = 100/1000 = 0.10 N. Step 3: For B, Fᵦ = 225/1500 = 0.15 N. Step 4: Fₐ/Fᵦ = 0.10/0.15 = 2/3. Final answer: Ratio = 2/3, Option B.