1.Easy
A 1.1 kg stone is whirled in a horizontal circle of radius 0.3 m on a smooth, level table, held by a string that breaks at a tension of 70 N. Find the highest speed vmax the stone can have.
m = 1.1 kgr = 0.3 mTmax = 70 N
vmax = m/s
Circular motion worksheet with answers
2.Easy
A 1.7 kg stone is whirled in a horizontal circle of radius 1.6 m on a smooth, level table, held by a string that breaks at a tension of 40 N. Find the highest speed vmax the stone can have.
m = 1.7 kgr = 1.6 mTmax = 40 N
vmax = m/s
3.Medium
A car drives over the top of a hump in the road, which is a circular arc of radius 35 m. Use g = 9.81 m/s². Above what speed vmax do the wheels leave the road at the top?
r = 35 mg = 9.81 m/s²
vmax = m/s
4.Medium
A car takes a flat curve of radius 65 m. The coefficient of static friction between tyres and road is 0.7. Use g = 9.81 m/s². Find the highest speed vmax at which the car can take the curve without skidding.
r = 65 mμs = 0.7g = 9.81 m/s²
vmax = m/s
5.Hard
A 1.2 kg ball on a string 1 m long is swung in a vertical circle. At the lowest point it moves at 7 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.
m = 1.2 kgr = 1 mv = 7 m/sg = 9.81 m/s²
T = N
6.Hard
A ball on a string 0.7 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 = 0.7 mg = 9.81 m/s²
vmin = m/s
Answer key
- 1. vmax = 4.369 m/s
- 2. vmax = 6.136 m/s
- 3. vmax = 18.53 m/s
- 4. vmax = 21.13 m/s
- 5. T = 70.57 N
- 6. vmin = 2.62 m/s
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