1.Easy
A 1.9 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 150 N. Find the highest speed vmax the stone can have.
m = 1.9 kgr = 0.6 mTmax = 150 N
vmax = m/s
Circular motion worksheet with answers
2.Easy
A small object sits 10 cm from the axis of a disc that turns at a steady 30 revolutions per minute. Find the speed v of the object.
n = 30 rpmr = 0.1 m
v = m/s
3.Medium
A 1200 kg car drives over the top of a hump in the road at 16 m/s. The top of the hump is a circular arc of radius 120 m. Use g = 9.81 m/s². Find the normal force N of the road on the car at the top.
m = 1200 kgv = 16 m/sr = 120 mg = 9.81 m/s²
N = N
4.Medium
A car takes a flat curve of radius 95 m. The coefficient of static friction between tyres and road is 0.4. Use g = 9.81 m/s². Find the highest speed vmax at which the car can take the curve without skidding.
r = 95 mμs = 0.4g = 9.81 m/s²
vmax = m/s
5.Hard
A 0.6 kg ball on a light string 0.7 m long is swung in a vertical circle. At the lowest point its speed is 11.5 m/s. Ignore air resistance and use g = 9.81 m/s². Find the tension Ttop in the string at the highest point.
m = 0.6 kgr = 0.7 mvbottom = 11.5 m/sg = 9.81 m/s²
Ttop = N
6.Hard
A 0.9 kg ball on a string 0.9 m long is swung in a vertical circle. At the lowest point it moves at 4.5 m/s. Use g = 9.81 m/s². Find the tension T in the string at the lowest point.
m = 0.9 kgr = 0.9 mv = 4.5 m/sg = 9.81 m/s²
T = N
Answer key
- 1. vmax = 6.882 m/s
- 2. v = 0.3142 m/s
- 3. N = 9212 N
- 4. vmax = 19.31 m/s
- 5. Ttop = 83.93 N
- 6. T = 29.08 N
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