174k views
2 votes
A car with a mass of 1,200 kilograms is moving around a circular curve at a uniform velocity of 20 meters per second. The centripetal force on the car is 6,000 newtons. What is the radius of the curve? A. 16 meters B. 160 meters C. 32 meters D. 80 meters

User Matejk
by
8.4k points

2 Answers

4 votes

Final answer:

The radius of the curve is 80 meters, which can be calculated using the centripetal force formula and the given values for mass, velocity, and force.

Step-by-step explanation:

To find the radius of the curve on which a car is moving with a centripetal force acting on it, the following formula is used:

F = (mv²)/r, where:

  • F is the centripetal force,
  • m is the mass of the car,
  • v is the velocity,
  • and r is the radius of the curve.

Given that F = 6000 N, m = 1200 kg, and v = 20 m/s, we can rearrange the formula to solve for r:

r = (mv²)/F = (1200 kg × (20 m/s)²) / 6000 N, which simplifies to:

r = 80 meters. Therefore, the radius of the curve is 80 meters.

User Johnny Oshika
by
8.5k points
4 votes
10000 Because you have to do the work and do it right stop asking for answers lol just kidding but that is the real answer thanks
User Charles Anthony
by
8.0k points