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27 votes
A 1,000 kg car travels around a circular track at a constant speed. If the radius of thepath is 200 m and the car is traveling at 25 m/s, how long does it take the car to makea lap around the track?O 8.5 secondsO 50.2 secondsO 49.2 seconds0 9.8 seconds

User Ahsonkhan
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2 Answers

19 votes
19 votes

Final answer:

The car takes approximately 50.2 seconds to make a lap around the track.

Step-by-step explanation:

To find the time it takes for the car to make a lap around the track, we can use the formula for the circumference of a circle: C = 2πr, where C is the circumference and r is the radius. In this case, the radius is 200 m, so the circumference is 2π(200) = 400π m. The car is traveling at a constant speed of 25 m/s, so we can divide the circumference by the speed to find the time: 400π m / 25 m/s = 16π s ≈ 50.2 s. Therefore, it takes the car approximately 50.2 seconds to make a lap around the track.

User Ray Fischer
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17 votes
17 votes

m = mass = 1,000 kg

r = radius = 200 m

v = 25 m/s

User Tswaters
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