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A particle P travels with constant speed on a circle of radius r = 2.0 m (see th

ID: 2209830 • Letter: A

Question

A particle P travels with constant speed on a circle of radius r = 2.0 m (see the figure) and completes one revolution in 20.0 s. The particle passes through 0 at t = 0. Find the magnitude and direction of each of the following vectors. With respect to 0, find the particle's position vector at t = 5.0 s.

a. What is it magnitude? 2.83 m

b. What is its angle with repect to the x-axis? 4.50?101 deg

c. With respect to 0, find the particle's position vector at t = 7.5 s. What is it magnitude?

d.What is its angle with repect to the x-axis?

e.With respect to 0, find the particle's position vector at t = 10.0 s. What is it magnitude?

f. What is its angle with repect to the x-axis? 9.00?101 deg

g.For the 5.00 s interval from the end of the fifth second to the end of the tenth second, find the magnitude of the particle's displacement.

h.For the 5.00 s interval from the end of the fifth second to the end of the tenth second, find the particle's average velocity. What is the x-component of the average velocity?

i.What is the y-component of the average velocity?

j.Find its velocity at the beginning and end of that 5.00 s interval. What is the x-component of the velocity at t = 5.0 s?

k.What is the y-component of the velocity at t = 5.0 s?

l.Find its acceleration at t = 5.0 s? What is the x-component of the acceleration at t = 5.0 s?

m.What is the y-component of the acceleration at t = 5.0 s?

n.Find its velocity at the end of that 5.00 s interval. What is the x-component of the velocity at t = 10.0 s?

o.What is the y-component of the velocity at t = 10.0 s?

p.Find its acceleration at t = 10.0 s? What is the x-component of the acceleration at t = 10.0 s?

q.What is the y-component of the acceleration at t = 10.0 s?

Explanation / Answer

T=20 s

2r/=20;

=>=.628 rad/s

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