Question

A car company is doing crash tests and has installed forcesensors in the chairs and seatbelts to measure the forces thatare exerted on crash test dummies during a crash. In oneparticular test the sensors measure a horizontal net force onthe dummy of 39,400 N when the car comes to a complete stopfrom an initial speed of 35 m/s in 1.4 m. Treating the dummyas a point particle and assuming it comes to rest in the samedistance, what is the mass of the test dummy used during thistest

Answer 1

Answer:

$m=90.1kg$

Explanation:

From the question we are told that

Force F=39400

Initial speed $V_1=35m/s$

Distance$d=1.4m$

Generally the equation for acceleration is mathematically given by

$a=\frac{V^2-U^2}{2d}$

$a=\frac{0^2-35^2}{21.4}$

$a=\frac{0^2-35^2}{21.4}$

$a=-437.5m/sec^2$

Generally the equation for mass is mathematically given by

$F=ma\\m=F/a$

$m=\frac{-39400}{-437.5}$

$m=90.1kg$