A cyclist is negotiating a circular track of radius 30 m. If the cyclist's speed is 15 m/s, what is the net force acting on the cyclist towards the center of the track?
Practice Questions
1 question
Q1
A cyclist is negotiating a circular track of radius 30 m. If the cyclist's speed is 15 m/s, what is the net force acting on the cyclist towards the center of the track?
50 N
75 N
100 N
125 N
Centripetal force (F_c) = mv²/r. Assuming mass m = 100 kg, F_c = (100 kg)(15 m/s)² / (30 m) = 75 N.
Questions & Step-by-step Solutions
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Q
Q: A cyclist is negotiating a circular track of radius 30 m. If the cyclist's speed is 15 m/s, what is the net force acting on the cyclist towards the center of the track?
Solution: Centripetal force (F_c) = mv²/r. Assuming mass m = 100 kg, F_c = (100 kg)(15 m/s)² / (30 m) = 75 N.
Steps: 8
Step 1: Identify the formula for centripetal force, which is F_c = mv²/r.
Step 2: Determine the values needed for the formula. We have the speed (v = 15 m/s) and the radius (r = 30 m).
Step 3: Assume a mass for the cyclist. In this case, we will use m = 100 kg.
Step 4: Calculate v² (the speed squared). So, v² = (15 m/s)² = 225 m²/s².
Step 5: Substitute the values into the centripetal force formula: F_c = (100 kg)(225 m²/s²) / (30 m).
