An object with a mass of (7 kg) a radius of (0.4 m) and a moment of inertia of (I = MR²) starts initially with a linear speed of (3 m) at the bottom of a ramp that is inclined by (34 degrees) to the horizontal. The object then rolls up the ramp before slowing to a stop. a) How far does the object travel along the ramp before slowing to a stop? 6) How many rotations does the object make during this trip up the ramp (assume a circular shape)?

An object with a mass of (7 kg) a radius of (0.4 m) and a moment of inertia of (I = MR²) starts initially with a linear speed of (3 m) at the bottom of a ramp that is inclined by (34 degrees) to the horizontal. The object then rolls up the ramp before slowing to a stop. a) How far does the object travel along the ramp before slowing to a stop? 6) How many rotations does the object make during this trip up the ramp (assume a circular shape)?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A small 700 g ball on the end of a thin, light rod is rotated in a horizontal circle of radius 2.5 m. Calculate the torque needed to keep the ball rotating at a constant angular speed if the air resistance experienced by the ball is 0.0200 N. Ignore the rods moment of inertia and air resistance. Hint: Treat the small ball as a particle.
When a fan is turned off, its angular speed decreases from 168 rpm to 64.0 rpm in 6.08 s. A) what is the angukar acceleration of the fan? B) How fast the edges of the blades are moving (in m/s) at time 6.08 s, if they are 86.0 cm long?
Ventilation fan in a house, the length of each blade is 0.25 m, rotating at a constant angle of 20 rpm, the tangential velocity of the outer end of one blade, and its tangential acceleration respectively is equal to: Choose and solve steps a- 0.2m/s , 2m/s2 b- 5.0m/s ,2m/s2 c- 0.52m/s , 0m/s2 d- 20m/s ,0m/s
A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second
An electric fan is turned off, and its angular velocity decreases uniformly from 450 rev/min to 220 rev/min in a time interval of length 4.50s. a) Find the angular acceleration α in revolutions per second per second. b) Find the number of revolutions made by the fan blades during the time that they are slowing down in Part A. c) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in Part A?
Problem 12: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.3 meters, and a mass M = 241 kg. A small boy of mass m = 46 kg runs tangentially to the merry-go-round at a speed of v = 1.8 m/s, and jumps on. Randomized Variables R = 1.3 meters M = 241 kg m = 46 kg v = 1.8 m/s
A diver runs horizontally off the end of a diving tower 3.5m above the surface of the water with an initial speed of 2.5 m/s. During her fall she rotates with an average angular speed of 2.6 rad/s How many revolutions has she made when she hits the water? Express your answer using two significant figures.Δθ= (?) rev
A truck with 0.420 m radius tires travels at 42 m/s. part a) What is the angular velocity of the rotating tires in radians per second? part b) What is the angular velocity of the rotating tires in rev/min?
Problem 5: A ball with a mass of 0.220kg is connected to a string with a length of 1.20m long so that the ball undergoes uniform circular motion with constant speed. If the string exerts a force of 30.0N to keep the ball rotating, a) what is the speed of the ball? b) What is the angular speed of the ball? (10 points)
A figure skater does a single-axle jump, turning 1.5 revolutions while in the air. The skater is in the air for 0.48 s, and his hands are located 0.69 m from the rotation axis. a) What is the angular velocity (in rad/s) of the skater during the leap? b) What is the linear tangential speed (in m/s) of the skater's hand? c) What is the centripetal acceleration (in m/s^2) of each of the skater's hands during the jump?
A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 37 rev/s, and its tip has a tangential speed of 56 m/s. What is the length of the rotating string
A bicycle has a front sprocket of diameter 5.0 cm and a back sprocket of 2.0 cm. The bicyclist pedals at 2 revolutions per second turning the front sprocket, and the chain, which connects the front and back sprockets, turns the back sprocket. The wheel and the back sprocket turn together. The back wheel has a radius of 30 cm. How fast will the bike travel down a straight level path? 3.4 m/s 6.5 m/s 9.4 m/s 1.8 m/s