Need one more assumption: impact force depends on how quickly the car stops (impact duration or stopping distance). I'll compute force for two common assumptions—a) stopping time, b) stopping distance—then you can pick which fits.
Given: m = 1.5 kg, initial speed before impact v = 30 m/s.
1) If you assume the car stops in time Δt (s):
- deceleration a = −v / Δt = −30 / Δt (m/s^2)
- impact force magnitude F = m * |a| = m * 30 / Δt = (1.5 * 30) / Δt = 45 / Δt (N)
Examples:
- Δt = 0.01 s → F = 45 / 0.01 = 4500 N
- Δt = 0.001 s → F = 45 / 0.001 = 45,000 N
2) If you assume the car stops over distance d (m) with uniform deceleration:
- a = −v^2 / (2d) = −(30^2) / (2d) = −900 / (2d) = −450 / d (m/s^2)
- F = m * |a| = 1.5 * 450 / d = 675 / d (N)
Examples:
- d = 0.1 m → F = 675 / 0.1 = 6,750 N
- d = 0.02 m → F = 675 / 0.02 = 33,750 N
If you provide a stopping time or distance (or coefficient of restitution for a bounce), I’ll give the numeric impact force.