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

`m=90.1kg`

Step-by-step 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=(V^2-U^2)/(2d)`

`a=(0^2-35^2)/(21.4)`

`a=(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=(-39400)/(-437.5)`

`m=90.1kg`