A 1000 kg car traveling with a speed of 144 km h⁻¹ rounds a curve of radius 100 m. Find the necessary centripetal force. (Ans: 1.6 x10⁴ N)



Data Given:


Mass of car = m = 1000 kg

Speed of car = v = 144 km h⁻¹ = 40 m s⁻¹

Radius of curve = r = 100 m


To Find:


Centripetal Force  = F = ?


Solution:


Formula for Centripetal Force F is given by

F = `\frac {mv²}{r}`

By putting values

F = `\frac {1000 kg x(40 m s⁻¹)²}{100 m}`

F = `\frac {1000 kg x1600 m² s⁻²}{100 m}`

F = `\frac {1600000 kg m² s⁻²}{100 m}`

F = 16000 kg m s⁻²

or

F = 1.6 x10⁴ N --------------Ans.






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