# Example 9.3

Last updated at May 24, 2019 by Teachoo

Last updated at May 24, 2019 by Teachoo

Transcript

Example 9.3 A motorcar is moving with a velocity of 108 km/h and it takes 4 s to stop after the brakes are applied. Calculate the force exerted by the brakes on the motorcar if its mass along with the passengers is 1000 kg. Given Mass of the motor car along with passengers = m = 1000 kg Initial velocity = u = 108 km/h Time taken = 4s Since the car stops, Final velocity = v = 0 m/s Converting initial velocity in m/s Initial velocity = u = 108 km /h = 108 × 5/18 = 30 m/s Conversion from km/h to m/s 1 km = 1000 m 1 hour = 60 minutes = 3600 s ∴ (1 𝑘𝑚)/ℎ = (1000 𝑚)/(3600 𝑠) ∴ 1 km/h = 5/18 m/s We need to find the force exerted by the brakes We know that Force = (𝑚 (𝑣 − 𝑢))/𝑡 = (1000 (0 − 30))/4 = 250 × − 30 = −7500 N The Negative sign of the force means that force was applied in opposite direction of motion

Class 9

Chapter 9 Class 9 - Force and Laws Of Motion

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CA Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 9 years and a teacher from the past 16 years. He teaches Spoken English, Written English, Grammar and Vocabulary at Englishtan.