1.Easy
A 1.6 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 110 N. Find the highest speed vmax the stone can have.
m = 1.6 kgr = 0.6 mTmax = 110 N
vmax = m/s
Circular motion worksheet with answers
2.Easy
A 1.9 kg stone is whirled in a horizontal circle of radius 1.7 m on a smooth, level table, held by a string that breaks at a tension of 160 N. Find the highest speed vmax the stone can have.
m = 1.9 kgr = 1.7 mTmax = 160 N
vmax = m/s
3.Medium
A 1600 kg car drives over the top of a hump in the road at 12 m/s. The top of the hump is a circular arc of radius 110 m. Use g = 9.81 m/s². Find the normal force N of the road on the car at the top.
m = 1600 kgv = 12 m/sr = 110 mg = 9.81 m/s²
N = N
4.Medium
In a fairground rotor, riders stand against the wall of a vertical cylinder of radius 2.1 m. When it spins fast enough the floor drops away and friction holds them up. The coefficient of static friction is 0.8. Use g = 9.81 m/s². Find the smallest rotation rate n in revolutions per minute.
r = 2.1 mμs = 0.8g = 9.81 m/s²
n = rpm
5.Hard
A 1.5 kg ball on a string 0.8 m long is swung in a vertical circle. At the lowest point it moves at 6 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.
m = 1.5 kgr = 0.8 mv = 6 m/sg = 9.81 m/s²
T = N
6.Hard
A 1.1 kg ball on a string 1.4 m long is swung in a vertical circle. At the lowest point it moves at 3 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.
m = 1.1 kgr = 1.4 mv = 3 m/sg = 9.81 m/s²
T = N
Answer key
- 1. vmax = 6.423 m/s
- 2. vmax = 11.96 m/s
- 3. N = 13601 N
- 4. n = 23.08 rpm
- 5. T = 82.22 N
- 6. T = 17.86 N
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