A car travelling an unbanked curve of radius 200 ft notices a truckstopped on the road ahead. The driverimmediately applies brakes causing t

Question

A car travelling an unbanked curve of radius 200 ft notices a truckstopped on the road ahead. The driverimmediately applies brakes causing the speed of the carto decrease at the rate of 10 ft/s2. If at that instant, the stationary truckis 100 ft ahead (the distance is measured along the path) and the car is travelling at a speed of 40ft/s, whatis the magnitude of the relative velocity ofthe truck perceived by the driver of the car (i.e. from the moving frame of referenceof the car).

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Thiên Ân 4 years 2021-07-13T11:44:13+00:00 1 Answers 12 views 0

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  1. thienthi
    0
    2021-07-13T11:46:03+00:00
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    Answer:

     u = – 40 ft / s

    Explanation:

    The Galilean relation for the relative velocity is

             v ’= v + u

    where u is the speed between the two reference frames, v is the speed of the fixed system and v ‘the speed of the mobile system.

    In this case the truck has a speed with respect to the ground (fixed system) 0 m / s (it is stopped), the car has a speed with respect to the ground of v = 40 ft / s,

            u = v’- v

             

            u = 0 – 40

            u = – 40 ft / s

    the speed perceived by the car if the system is fixed on it is -40 ft / s

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