uniform circular motion easy numerical

A car travels around a circular track with a radius of 100 meters at a constant speed of 20 meters per second. Calculate the car's acceleration.

• 25 m/s^2
• 15 m/s^2
• 10 m/s^2
• 4 m/s^2

A cyclist moves along a circular path with a diameter of 50 meters at a constant speed of 15 meters per second. What is the cyclist's acceleration?

• 9 m/s^2

• 6 m/s^2

• 18 m/s^2

• 3 m/s^2

A ball is thrown straight up with an initial velocity of 20 meters per second. Ignoring air resistance, what is its velocity after 1 second?

• 10 m/s upwards

• 10 m/s downwards

• 0 m/s

• 20 m/s upwards

A car moves around a circular track with a radius of 50 meters at a constant speed of 10 meters per second. Calculate the centripetal acceleration.

• 20 m/s^2
• 15 m/s^2
• 2 m/s^2
• 5 m/s^2

A 2 kg mass is attached to a string and swung in a horizontal circle of radius 1 meter at a constant speed of 4 meters per second. Calculate the tension in the string.

• 8 N
• 16 N
• 64 N
• 32 N

A particle moves at a constant speed of 15 m/s in a circular path. If its radius changes from 10 meters to 20 meters in 4 seconds, what is the magnitude of its centripetal acceleration?

• 7.5 m/s^2
• 20 m/s^2
• 11.25 m/s^2
• 5 m/s^2

A 500 g ball is attached to a string and swung in a vertical circle of radius 2 meters with a constant speed of 6 m/s. Calculate the tension in the string at the bottom of the swing.

• 35.7 N
• 39.2 N
• 44.1 N
• 50.5 N

A car moves around a circular track with a radius of 80 meters. If the centripetal acceleration is 2 m/s2 , what is the car's speed?

• 12.65 m/s
• 20.33 m/s
• 15.75 m/s
• 8.45 m/s

A car rounds a curve with a radius of 50 meters. If the maximum centripetal acceleration the car can withstand is 8 m/s2 , what is the maximum speed the car can travel without skidding?

• The maximum speed the car can travel without skidding is 15 m/s.
• The maximum speed the car can travel without skidding is 20 m/s.
• The maximum speed the car can travel without skidding is 25 m/s.
• The maximum speed the car can travel without skidding is 30 m/s.

A satellite orbits Earth at a constant speed in a circular orbit with a radius of 7000 km. If the gravitational acceleration at this altitude is approximately 8.7 m/s², what is the satellite's orbital speed?

• 7.35 km/s

• 6.95 km/s

• 8.2 km/s

• 5.4 km/s