A car weighing 1000 kg is moving at a speed of 5 m / s along an arc of a circle with a radius of 100 m.
| April 1, 2021 | education
A car weighing 1000 kg is moving at a speed of 5 m / s along an arc of a circle with a radius of 100 m. What is the force imparting centripetal acceleration to it?
A car with a mass of m = 1000 kg moves at a speed of v = 5 m / s along an arc of a circle with a radius of R = 100 m. In this case, it is acted upon by a centripetal acceleration: a = v ^ 2 / R. To determine what the force F is equal to, imparting centripetal acceleration to the car, we use Newton’s second law: F = m ∙ a. We get:
F = m ∙ v ^ 2 / R.
Substitute the values of the quantities into the calculation formula:
F = 1000 kg ∙ (5 m / s) ^ 2/100 m; F = 230 N.
Answer: The force imparting centripetal acceleration to the car is 230 N.
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