A ball travels around a circular track with a circumference of 0.850m every 2.50s. What is...

A ball travels around a circular track with a circumference of 0.850m every 2.50s. What is the tangential velocity of the ball?

0.340m/s

3.35m/s

2.94m/s

1.65m/s

A little girl sits on a merry-go-round horse. The radius of the horse's path is 10.0m and it is spinning at 3.00m/s. The net centripetal force on the girl is 13.5N. What is the girl's mass?

45.0kg

109kg

15.0kg

12.2kg

Solutions

Expert Solution

Q1:

Circumference of the circular track, d = 0.850 m

The ball completes the circular track in t = 2.50 s

i.e. the ball travels d=0.850 m in t = 2.50 s.

Tangential velocity of the ball, v = ( d / t) = ( 0.850 / 2.50 ) = 0.340 m/s (Ans)

Correct option: (i)

Q2:

Let the mass of the girl be m.

radius of the circular path, r = 10.0 m

speed of the merry-go-round horse , v = 3.00 m/s

The net centripetal force on the girl, F_c = 13.5 N

Now, F_c = ( mv² / r )

m = (F_c * r / v² ) = ( 13.5 * 10.0 / ( 3.00)²) = 15.0 kg

Correct option: (iii)

genius_generous answered 2 years ago

Next > < Previous

Related Solutions

Consider three vehicles running on a circular track of circumference 2 km. Vehicle A travels at...

Consider three vehicles running on a circular track of circumference 2 km. Vehicle A travels at a constant speed of 30 km/h, vehicle B travels at 60 km/h and vehicle C travels at 90 km/hr. Calculate the ratio of space mean speed over time mean speed.

1.1 While a car travels around a circular track at a constant speed its, which of...

1.1 While a car travels around a circular track at a constant speed its, which of the following is true? A) it has non-zero acceleration B) it has zero acceleration C) it has zero velocity, because the speed is constant D) It has zero inertia 1.2. How many of the following statements are impossible? (a) An object that has zero velocity and a non-zero acceleration. (b) An object that travels with a constant velocity and a varying acceleration. (c) An...

The Nardo ring is a circular test track for cars. It has a circumference of 12.5...

The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km . Cars travel around the track at a constant speed of 100 km/h. A car starts at the easternmost point of the ring and drives for 7.5 minutes at this speed. Part A What distance, in km, does the car travel? Express your answer in kilometers. Part B What is the magnitude of the car's displacement, in km, from its initial position? Express...

A runner sprints around a circular track of radius 130 m at a constant speed of...

A runner sprints around a circular track of radius 130 m at a constant speed of 7 m/s. The runner's friend is standing at a distance 260 m from the center of the track. How fast is the distance between the friends changing when the distance between them is 260 m? (Round your answer to two decimal places.) m/s

George and Paula are running around a circular track. George starts at the westernmost point of...

George and Paula are running around a circular track. George starts at the westernmost point of the track, and Paula starts at the easternmost point. The illustration below shows their starting positions and running directions. They start running toward each other at constant speeds. George runs at 8 feet per second. Paula takes 50 seconds to run a lap of the track. George and Paula pass each other after 11 seconds. After running for 3 minutes, how far east of...

Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at...

Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at the westernmost point of the track, and, at the same time, Alexandra started at the northernmost point. They both run counterclockwise. Alexandra runs at 4 meters per second, and will take exactly 3 minutes to catch up to Charlie. Impose a coordinate system with units in meters where the origin is at the center of the circular track, and give the x- and y-coordinates...

Marla is running clockwise around a circular track. She runs at a constant speed of 2...

Marla is running clockwise around a circular track. She runs at a constant speed of 2 meters per second. She takes 46 seconds to complete one lap of the track. From her starting point, it takes her 12 seconds to reach the northernmost point of the track. Impose a coordinate system with units in meters, the center of the track at the origin, and the northernmost point on the positive y-axis. (Round your answers to two decimal places.) (a) Give...

Alice is driving a race car around an essentially circular track. Brian, who is sitting at a...

Alice is driving a race car around an essentially circular track. Brian, who is sitting at a fixed position at the edge of the track, measures the time that Alice takes to complete a lap by starting his watch when Alice passes by his position (call this event E) and stopping it when Alice passes his positin again (call this event F). This situation is also observed by Cara and Dave, who are passengers in a train that passes very close to...

1a. A car drives around a circular track of diameter 154 m at a constant speed...

1a. A car drives around a circular track of diameter 154 m at a constant speed of 45.1 m/s. During the time it takes the car to travel 97 degrees around, what is the magnitude of the car s average acceleration? b. A car starts from rest, then accelerates at a constant rate over a distance of 63 m. It then immediately decelerates at a constant rate over a distance of 122 m. The entire trip lasts a total duration...

1. Khalif runs a full lap around a circular track of radius 20 m in 100...

1. Khalif runs a full lap around a circular track of radius 20 m in 100 s. What is the magnitude of his average velocity? 2. A 10 Newton force is needed to move an object with a constant velocity of 5.0 m/s. What power must be delivered to the object by the force? 3. A ball is kicked horizontally with an initial speed of 8.0 m/s from the edge of a cliff. A stop watch measures the ball’s trajectory...

Subjects