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It is very useful to learn to estimate the answers to science and engineering problems quickly,...

It is very useful to learn to estimate the answers to science and engineering problems quickly, without doing detailed calculations. As an example, consider a car moving at 3 MPH that hits a brick wall. A "good" bumper should bring the car to a stop in about 2 inches. Estimate the weight of a typical car, and figure this out, making the simple assumption that the force (and thus the acceleration) is constant. The force is about? Explain you answer please

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Answer #1

Initial velocity, u = 3mph = 1.34m/s
Final Velocity, v = 0
Distance before Stop, s = 2 in = 0.051 m

v^2 = u^2 + 2*a*s
0 = 1.34^2 + 2*a*0.051
a = - 17.6 m/s^2
(-ve sign means that the acceleratio is in the opposite direction of motion.)
Accelereation , a = 17.6 m/s^2

Force = Mass * Acceleration
Let us imagine a typical car weight , m = 1400 Kg

Force = 1400 * 17.6 N
Force = 24640 N
Force on the Car, F = 24640 N

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