1.Easy
A 0.8 kg stone is whirled in a horizontal circle of radius 0.4 m on a smooth, level table, held by a string that breaks at a tension of 200 N. Find the highest speed vmax the stone can have.
m = 0.8 kgr = 0.4 mTmax = 200 N
vmax = m/s
Circular motion worksheet with answers
2.Easy
A 1.2 kg stone is whirled in a horizontal circle of radius 0.6 m on a smooth, level table, held by a string that breaks at a tension of 120 N. Find the highest speed vmax the stone can have.
m = 1.2 kgr = 0.6 mTmax = 120 N
vmax = m/s
3.Medium
A car takes a flat curve of radius 105 m. The coefficient of static friction between tyres and road is 0.6. Use g = 9.81 m/s². Find the highest speed vmax at which the car can take the curve without skidding.
r = 105 mμs = 0.6g = 9.81 m/s²
vmax = m/s
4.Medium
A car drives over the top of a hump in the road, which is a circular arc of radius 20 m. Use g = 9.81 m/s². Above what speed vmax do the wheels leave the road at the top?
r = 20 mg = 9.81 m/s²
vmax = m/s
5.Hard
A 1.2 kg ball on a light string 0.8 m long is swung in a vertical circle. At the lowest point its speed is 10 m/s. Ignore air resistance and use g = 9.81 m/s². Find the tension Ttop in the string at the highest point.
m = 1.2 kgr = 0.8 mvbottom = 10 m/sg = 9.81 m/s²
Ttop = N
6.Hard
A ball on a string 0.8 m long is swung in a vertical circle. Use g = 9.81 m/s². What is the smallest speed vmin at the top for which the string just stays tight?
r = 0.8 mg = 9.81 m/s²
vmin = m/s
Answer key
- 1. vmax = 10 m/s
- 2. vmax = 7.746 m/s
- 3. vmax = 24.86 m/s
- 4. vmax = 14.01 m/s
- 5. Ttop = 91.14 N
- 6. vmin = 2.801 m/s
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