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GO A cat rides a merry-go-round turning with uniform circular motion. At time t1 = 2.00 s, the cat’s velocity is
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FUNDAMENTALS OF PHYSICS - EXTENDED
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- A cat rides a merry-go-round while turning with uniform circular motion. At time t, = 2.00 s, the cat's velocity is v1 = (3.50)î + (4.00 m/s) î, measured on a horizontal xy coordinate system. At time t2 = 6.00 s, a half-revolution later, its velocity is v2 = (-3.50 m/s)î + (-4.00 m/s) j. (a) What is the magnitude of the cat's centripetal acceleration? m/s2 (b) What is the magnitude of the cat's average acceleration during the time interval t2 - t1? m/s2 Submit Answerarrow_forwardA particle travels clockwise around a circular path as shown below. The speed of the particle is given as a function of position s, such that v(s) = (s^2 ) m⁄sec where position is measured in meters. The radius of the circle is 1 m. What is the magnitude of the acceleration of the particle at the position s = 1 m?arrow_forwardAt t₁ = 4.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular motion is (7.00 m/s²)i + (3.00 m/s²) = At t27.00 s (less than one period later), the acceleration is = (3.00 m/s²)-(7.00 m/s²); The period is more than 3.00 s. What is the radius of the circle? Number Unitsarrow_forward
- A particle moves along a circular path of radius 5 ft. If its position is 0 = (e0.5t) rad/s, where t is in seconds, determine the magnitude of the particle's acceleration when 0 = 90°.arrow_forwardStarting from rest, a bicyclist travels around a horizontal circular path, r = 10 m, at a speed of v = (0.09t^2 + 0.1t) m/s, where t is in seconds. Determine the magnitudes of his velocity and acceleration when he has traveled s = 3 m.arrow_forwardA particle initially is moving at a velocity with Cartesian components (5.0 m/s, 4.0 m/s) and 5.6 s later it is moving at a velocity with components (8.0 m/s, 0.0 m/s). What is the magnitude of its average acceleration, in m/s2?arrow_forward
- A particle moves along a circular path having a radius of 1.1 m. At an instant when the speed of the particle is equal to 3.22 m/s and changing at the rate of 6.46 m/s², what is the magnitude of the total acceleration of the particle?arrow_forwardThe velocity of a particle is V and is constant. It moves counterclockwise on a circle with center "O" and radius R. Draw the circle. When the particle is in the vector R position, draw vector R, vector V, vector A, and vector da/dt(time derivative of acceleration).arrow_forwardA purse at radius 2.20 m and a wallet at radius 3.30 m travel in uniform circular motion on the floor of a merry-go-round as the ride turns. They are on the same radial line. At one instant, the acceleration of the purse is (1.50 m/s² )i + (4.00 m/s² )Ĵ. At that instant and in unit-vector notation, what is the acceleration of the wallet? Number î+ i Ĵ Unitsarrow_forward
- A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.30 s, it is at point (4.40 m, 5.90 m) with velocity (2.70 m/s)ĵ and acceleration in the positive x direction. At time t2 = 12.0 s, it has velocity (–2.70 m/s)î and acceleration in the positive y direction. What are the (a) x and (b) y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit.arrow_forwardA particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 4.40 s, it is at point (4.00 m, 6.70 m) with velocity (3.40 m/s) J and acceleration in the positive x direction. At time t, 14.0 s, it has velocity (-3.40 m/s) and acceleration in the positive y direction. What are the (a)x and (b)y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit. (a) Number Units (b) Number Unitsarrow_forwardA particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time t1 = 3.20 s, it is at point ( 5.00 m, 6.60 m) with velocity ( 3.70 m/s) ĵ and acceleration in the positive x direction. At time t2 = 10.1 s, it has velocity (- 3.70 m/s) î and acceleration in the positive y direction. What are the (a) x and (b) y coordinates of the center of the circular path? Assume at both times that the particle is on the same orbit. (a) Number i Units (b) Number i Unitsarrow_forward
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