The position vector r → of a particle moving in the xy plane is r → = 2 t i ^ + 2 sin [ ( π /4 rad/s) t ] j ^ , with r → in meters and t in seconds. (a) Calculate the x and y components of the particle’s position at t = 0, 1.0, 2.0, 3.0, and 4.0 s and sketch the particle’s path in the xy plane for the interval 0 ≤ t ≤ 4.0 s. (b) Calculate the components of the particle’s velocity at t = 1.0, 2.0, and 3.0 s. Show that the velocity is tangent to the path of the particle and in the direction the particle is moving at each time by drawing the velocity vectors on the plot of the particle’s path in part (a). (c) Calculate the components of the particle’s acceleration at t = 1.0, 2.0, and 3.0 s.
The position vector r → of a particle moving in the xy plane is r → = 2 t i ^ + 2 sin [ ( π /4 rad/s) t ] j ^ , with r → in meters and t in seconds. (a) Calculate the x and y components of the particle’s position at t = 0, 1.0, 2.0, 3.0, and 4.0 s and sketch the particle’s path in the xy plane for the interval 0 ≤ t ≤ 4.0 s. (b) Calculate the components of the particle’s velocity at t = 1.0, 2.0, and 3.0 s. Show that the velocity is tangent to the path of the particle and in the direction the particle is moving at each time by drawing the velocity vectors on the plot of the particle’s path in part (a). (c) Calculate the components of the particle’s acceleration at t = 1.0, 2.0, and 3.0 s.
The position vector
r
→
of a particle moving in the xy plane is
r
→
=
2
t
i
^
+
2
sin
[
(
π
/4 rad/s)
t
]
j
^
,
with
r
→
in meters and t in seconds. (a) Calculate the x and y components of the particle’s position at t = 0, 1.0, 2.0, 3.0, and 4.0 s and sketch the particle’s path in the xy plane for the interval 0 ≤ t ≤ 4.0 s. (b) Calculate the components of the particle’s velocity at t = 1.0, 2.0, and 3.0 s. Show that the velocity is tangent to the path of the particle and in the direction the particle is moving at each time by drawing the velocity vectors on the plot of the particle’s path in part (a). (c) Calculate the components of the particle’s acceleration at t = 1.0, 2.0, and 3.0 s.
Consider a rubber rod that has been rubbed with fur to give the rod a net negative charge, and a glass rod that has been rubbed with silk to give it a net positive charge. After being charged by contact by the fur and silk...?
a. Both rods have less mass
b. the rubber rod has more mass and the glass rod has less mass
c. both rods have more mass
d. the masses of both rods are unchanged
e. the rubber rod has less mass and the glass rod has mroe mass
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