An advertisement claims that a particular automobile can "stop on a dime". What net force would actually be necessary to stop an automobile of mass 970 kgkg traveling initially at a speed of 52.0 km/hkm/h in a distance equal to the diameter of a dime, which is 1.8 cmcm ?

F=5618278.8 N

Explanation:

Given that

m = 970 kg

Initial speed ,u = 52 km/h

u = 14.44 m/s          ( 1 km/h = 0.277 m/s)

Distance d= 1.8 cm  = 0.018 m

The final speed ,v = 0 m/s

We know that

v² = u² + 2 a d

a=Acceleration

0² = 14.44² + 2 x a x 0.018

a=5792.04 m/s²

We know that

Force = Mass x acceleration

F=  m a

F= - 5792.04 x 970 N

F= - 5618278.8 N

Therefore the magnitude of the force will be 5618278.8 N.

F=5618278.8 N

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