Centripetal Force Tangential Velocity and Acceleration

A rope attaches a tire to an overhanging tree limb. A girl swinging on the tire has a centripetal acceleration of 3.0 m/s^2. If the length of the rope is 2.1 m, what is the girl’s tangential speed?

• 3.5 m/s
• 2.5 m/s
• 8.5 m/s
• 12.5 m/s

As a young boy swings a yo-yo parallel to the ground and above his head, the yo-yo has a centripetal acceleration of 250 m/s^2. If the yo-yo’s string is 0.50 m long,what is the yo-yo’s tangential speed?

• 11 m/s
• 15 m/s
• 111111111111111111111112 m/s
• 22 m/s

A dog sits 1.5 m from the center of a merry-go-round. The merry-go-round is set in motion, and the dog’s tangential speed is 1.5 m/s. What is the magnitude of the dog’s centripetal acceleration?

• 3.9 m/s^2
• 2.8 m/s^2
• 1.5 m/s^2
• 11.5 m/s^2

Tags

NGSS.HS-PS2-1

A racecar moving along a circular track has a centripetal acceleration of 15.4 m/s².If the car has a tangential speed of 30.0 m/s, what is the distance between the car and the center of the track?

• 33.7 m
• 88.6 m
• 44.2 m
• 58.4 m

A 2.10 m rope attaches a tire to an overhanging tree limb. A girl swinging on the tire has a tangential speed of 2.50 m/s. If the magnitude of the centripetal force is 88.0 N, what is the girl’s mass?

• 54.3 kg
• 29.6 kg
• 33.8 kg
• 99.6 kg

Tags

NGSS.HS-PS2-1

A bicyclist is riding at a tangential speed of 13.2 m/s around a circular track.The magnitude of the centripetal force is 377 N, and the combined mass of the bicycle and rider is 86.5 kg. What is the track’s radius?

• 40.0 m
• 99.8 m
• 65.4 m
• 53.6 m

Tags

NGSS.HS-PS2-1

A dog sits 1.50 m from the center of a merry-go-round and revolves at a tangential speed of 1.80 m/s. If the dog’s mass is 18.5 kg, what is the magnitude of the centripetal force on the dog?

• 56 N
• 21 N
• 40 N
• 98 N

Tags

NGSS.HS-PS2-1

A 905 kg car travels around a circular track with a circumference of 3.25 km. If the magnitude of the centripetal force is 2140 N, what is the car’s tangential speed?

• 21.3 m/s
• 56.4 m/s
• 44.3 m/s
• 35.0 m/s

Tags

NGSS.HS-PS2-1