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A car is moving in a circular path of radius 50 m with a constant speed of 20 m/
A car is moving in a circular path of radius 50 m with a constant speed of 20 m/s. What is the centripetal acceleration of the car?
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A car is moving in a circular path of radius 50 m with a constant speed of 20 m/s. What is the centripetal acceleration of the car?
2 m/s²
4 m/s²
8 m/s²
10 m/s²
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Centripetal acceleration (a_c) = v²/r = (20 m/s)² / (50 m) = 8 m/s².
Questions & Step-by-step Solutions
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Q
Q: A car is moving in a circular path of radius 50 m with a constant speed of 20 m/s. What is the centripetal acceleration of the car?
Solution:
Centripetal acceleration (a_c) = v²/r = (20 m/s)² / (50 m) = 8 m/s².
Steps: 5
Show Steps
Step 1: Identify the formula for centripetal acceleration, which is a_c = v² / r.
Step 2: Determine the values needed for the formula. Here, the speed (v) is 20 m/s and the radius (r) is 50 m.
Step 3: Substitute the values into the formula: a_c = (20 m/s)² / (50 m).
Step 4: Calculate (20 m/s)², which equals 400 m²/s².
Step 5: Divide 400 m²/s² by 50 m to find the centripetal acceleration: 400 m²/s² / 50 m = 8 m/s².
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