A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.00 s, the cat’s velocity is given by vx = 3.00 m/s and vy = 4.00 m/s. At t2 = 5.00 s, the cat’s velocity is given by vx= −3.00 m/s and vy = −4.00 m/s. Take the coordinate system of the merry-go-round to have its origin at the center. (a) What is the magnitude of the cat’s centripetal acceleration? (b) What is the magnitude of the cat’s average acceleration during the time interval t2-t1? (c) Assuming uniform circular motion before �", what would have been the x-y coordinate location of the cat at t0=0.00s
A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.00 s,...
A cat rides a merry-go-round tuning with a uniform circular motion. At t1= 2.00 s, the cat's velocity is given by vx= 3.00 m/s and vy= 4.00 m/s. At t2= 5.00 s, the cat's velocity is given by vx= -3.00 m/s and vy= -4.00 m/s. Take the coordinate system of the merry-go-round to have its origin at the center. (a) What is the magnitude of the cat's centripetal acceleration? (b) What is the magnitude of the cat's average acceleration during...
A uniform circular disk (merry-go-round) of radius R=2.19 m and mass M=21.9 kg freely rotates about a vertical axis, which is perpendicular to the ground, with initial angular velocity omegai=3.05 rad/s. A cat of mass m=8.70 kg, climbing in a tree, which hangs over the disk, falls straight down onto the edge of the disk and rides on it. The cat decides to walk inward and sits down R/2 m from the center. What is now the magnitude of the...
7.An 80.0 kg person rotates and undergoes uniform circular motion with a constant angular velocity of 8.0 rad/s 2.0m from the center of a merry-go-round. a) What is the person’s centripetal acceleration? b) What is the centripetal force this person experiences?
A jet plane is flying at a constant altitude. At time t1=0 it has components of velocity vx= 94 m/s , vy= 106 m/s . At time t2= 30.0 s the components are vx= 175 m/s , vy= 44 m/s . For this time interval calculate the average acceleration. Find the magnitude of the average acceleration. Find the direction of the average acceleration (let the direction be the angle that the vector makes with the +x-axis, measured counterclockwise).
An astronaut in training rides in a seat that is moved in uniform circular motion by a radial arm 5.70 meters long. If her speed is 15.0 m/s, what is the centripetal force on her in "G's," where one G equals her weight on the Earth?
1) An object undergoes uniformly accelerated motion from point x1 = 6 m at time t1 = 3 s to point x2 = 47 m at time t2 = 7 s. (The direction of motion of the object does not change.) (a) If the magnitude of the instantaneous velocity at t1 is v1 = 2 m/s, what is the instantaneous velocity v2 at time t2? (b) Determine the magnitude of the instantaneous acceleration of the object at time t2. 2)...
A child sits on a merry‑go‑round that has a diameter of 4.00 m. The child uses her legs to push the merry‑go‑round, making it go from rest to an angular speed of 19.0 rpm in a time of 47.0 s. What is the average angular acceleration ?avg of the merry‑go‑round in units of radians per second squared (rad/s2)? ?avg= What is the angular displacement Δ? of the merry‑go‑round, in units of radians (rad), during the time the child pushes the...
A 100-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.900 rev/s in 2.00 s? (State the magnitude of the force.)
A dog running in an open field has components of velocity vx = 2.7 m/s and vy = -1.4 m/s at time t1 = 11.1 s . For the time interval from t1 = 11.1 s to t2 = 23.1 s , the average acceleration of the dog has magnitude 0.51 m/s2 and direction 31.0 ∘ measured from the +x−axis toward the +y−axis. 1) At time t2 = 23.1 s , what is the x-component of the dog's velocity? 2)...
A dog running in an open field has components of velocity vx = 2.8 m/s and vy = -1.6 m/s at time t1 = 12.0 s . For the time interval from t1 = 12.0 s to t2 = 22.7 s , the average acceleration of the dog has magnitude 0.48 m/s2 and direction 32.0 ∘ measured from the +x−axis toward the +y−axis. A. At time t2 = 22.7 s , what is the x-component of the dog's velocity? B....