1.Easy
A 0.7 kg stone is whirled in a horizontal circle of radius 1.4 m on a smooth, level table, held by a string that breaks at a tension of 100 N. Find the highest speed vmax the stone can have.
m = 0.7 kgr = 1.4 mTmax = 100 N
vmax = m/s
Circular motion worksheet with answers
2.Easy
A small object sits 85 cm from the axis of a disc that turns at a steady 300 revolutions per minute. Find the speed v of the object.
n = 300 rpmr = 0.85 m
v = m/s
3.Medium
A car takes a flat curve of radius 125 m. The coefficient of static friction between tyres and road is 0.8. Use g = 9.81 m/s². Find the highest speed vmax at which the car can take the curve without skidding.
r = 125 mμs = 0.8g = 9.81 m/s²
vmax = m/s
4.Medium
A car takes a flat curve of radius 90 m. The coefficient of static friction between tyres and road is 0.5. Use g = 9.81 m/s². Find the highest speed vmax at which the car can take the curve without skidding.
r = 90 mμs = 0.5g = 9.81 m/s²
vmax = m/s
5.Hard
A 1.8 kg ball on a string 1.1 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 = 1.8 kgr = 1.1 mv = 6 m/sg = 9.81 m/s²
T = N
6.Hard
A curve of radius 230 m is banked at 25°, and the coefficient of static friction between tyres and road is 0.3. Use g = 9.81 m/s². Find the lowest speed vmin at which a car can take the curve without sliding down the bank.
r = 230 mθ = 25°μs = 0.3g = 9.81 m/s²
vmin = m/s
Answer key
- 1. vmax = 14.14 m/s
- 2. v = 26.7 m/s
- 3. vmax = 31.32 m/s
- 4. vmax = 21.01 m/s
- 5. T = 76.57 N
- 6. vmin = 18.14 m/s
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