Question

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

Answer 1

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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