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Kinetics of a Particle :
Work and Energy
The 2-Mg car has a velocity of V = 100 km/h when the driver sees an obstacle in front of the car. It
takes 0.75 s for him to react and lock the brakes, causing the car to
skid. If the car stops when it has traveled a distance of 170 m, determine the coefficient of kinetic
friction between the tires and the road.
Solution:
𝑣2 = 𝑢2 + 2as
100 km/h = 27.77m/s
According to question car stopped at the end which ; v= 0
0 = 27.772
+ (2)(a) (170)
771.6 =(340)(a)
2.26 m/𝑠2
• F= (m)(a )
F= (2000)(2.26)
F= 4520 N
• F= 4520 N
• Friction Force = 4520N
• Friction Force = μ 𝑘 𝑁𝑐
• 𝑁𝑐 = Normal Force = (m)(g)
• 𝑁𝑐 = (2500)(9.81)=19620N
• So
• 4520 = μ 𝑘 19620
• μ 𝑘= 0.23

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Kinetics of a particle

  • 1. Kinetics of a Particle : Work and Energy
  • 2. The 2-Mg car has a velocity of V = 100 km/h when the driver sees an obstacle in front of the car. It takes 0.75 s for him to react and lock the brakes, causing the car to skid. If the car stops when it has traveled a distance of 170 m, determine the coefficient of kinetic friction between the tires and the road. Solution: 𝑣2 = 𝑢2 + 2as 100 km/h = 27.77m/s According to question car stopped at the end which ; v= 0 0 = 27.772 + (2)(a) (170) 771.6 =(340)(a) 2.26 m/𝑠2
  • 3. • F= (m)(a ) F= (2000)(2.26) F= 4520 N • F= 4520 N • Friction Force = 4520N • Friction Force = μ 𝑘 𝑁𝑐 • 𝑁𝑐 = Normal Force = (m)(g) • 𝑁𝑐 = (2500)(9.81)=19620N • So • 4520 = μ 𝑘 19620 • μ 𝑘= 0.23