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A race car has a mass of 710 kg. It starts from rest and travels 40 m in 3.0 s. The car is uniformly accelerated during the entire time. What net force is applied to it

Sagot :

The net force applied to it is 6311.9 N.

To calculate the net force to the car, first, we need to find the acceleration using the equation of motion.

Force: This as be defined as the product of mass and acceleration of a body. The S.I unit of force is Newton (N)

⇒ Formula

  • S = ut+at²/2................. Equation 1

⇒ Where:

  • u = Initial velocity
  • S = Distance
  • t = Time
  • a = acceleration

From the question,

 ⇒Given:

  • S = 40 m
  • t = 3.0 s
  • u = 0 m/s (at rest)

⇒ Substitute these values into equation 1

  • 40 = 0(3)+a(3²)/2

⇒ Solve for a

  • 9a = 80
  • a = 80/9
  • a = 8.89 m/s²

⇒ To get the force, we use the formula below

  • F = ma    .................... Equation 2

⇒ Where:

  • F = Force applied
  • m = mass of the car

⇒ Given:

  • m = 710 kg
  • a = 8.89 m/s²

⇒ Substitute these values into equation 2

  • F = 710(8.89)
  • F = 6311.9 N

Hence the net force applied to it is 6311.9 N.

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