Question
In: Physics
(Relativity) Draw the world line of a particle moving in the XY plane: a) Describing a...
(Relativity) Draw the world line of a particle moving in the XY plane:
a) Describing a circle with constant speed V
b) Accelerating from the rest until reaching certain speed V
Solutions
Expert Solution
The upper circular surface of
the cone at any instant t is the circle with speed v. In the second
figure the curves will be straight lines after velocity becomes
v.
genius_generous answered 5 days agoRelated Solutions
The vector position of a 3.70 g particle moving in the xy plane varies in time...
The vector position of a 3.70 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and
r
is in centimeters. At the same time, the vector position of a
5.80 g particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)
Determine the vector position (in cm) of the center of mass of
the system at t = 2.90 s.
rcm =
cm
(b)...
The vector position of a 3.95 g particle moving in the xy plane varies in time...
The vector position of a 3.95 g particle moving in the
xy plane varies in time according to
r1 = (3î +
3ĵ)t +
2ĵt2
where t is in seconds and r is in
centimeters. At the same time, the vector position of a 5.70 g
particle varies as
r2 = 3î −
2ît2 −
6ĵt.
(a)Determine the vector position (in cm) of the center of mass
of the system at t = 2.90 s.
rcm = cm
(b)Determine the...
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r1 = 3i + 3j t + 2jt2 where t is in
seconds and r is in centimeters. At the same time, the vector
position of a 5.00 g particle varies as r2 = 3i − 2it2 − 6jt. (a)
Determine the vector position of the center of mass at t = 2.40.
(b) Determine the linear momentum of the system at...
The vector position of a 3.05 g particle moving in the xy plane varies in time...
The vector position of a 3.05 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.15 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
The vector position of a 3.90 g particle moving in the xy plane varies in time...
The vector position of a 3.90 g particle moving in the xy plane
varies in time according to r with arrow1 = 3i + 3j t + 2jt2 where
t is in seconds and r with arrow is in centimeters. At the same
time, the vector position of a 5.60 g particle varies as r with
arrow2 = 3i − 2it2 − 6jt.
The velocity of a particle moving in the xy plane is given by ,v=(5t-4.5t^2)i+8.3j with in...
The velocity of a particle moving in the xy plane is given by
,v=(5t-4.5t^2)i+8.3j with in meters per second and t (> 0) in
seconds. At t = 2.4 s and in unit-vector notation, what are (a) the
x component and (b) the y component of the acceleration? (c) When
(if ever) is the acceleration zero? (d) At what positive time does
the speed equal 10 m/s?
5. A loop of wire (whose plane is in the xy plane), is moving in the...
5. A loop of wire (whose plane is in the xy plane), is moving in
the +x direction through a uniform B-field (5.0 T, directed into
the xy plane...ie., along the -z axis). What is direction of the
induced current in the loop?
a. Clockwise when viewed from the front
b. Counterclockwise when viewed from the front
c. The current direction alternates back and forth in the
loop
d. There is no induced current in the loop
6. Refer to...
A particle moves in the xy plane with constant acceleration. At t = 0 the particle...
A particle moves in the xy plane with constant acceleration. At
t = 0 the particle is at vector r1 = (3.6 m)i + (2.8 m)j, with
velocity vector v1. At t = 3 s, the particle has moved to vector r2
= (11 m)i − (1.8 m)j and its velocity has changed to vector v2 =
(4.6 m/s)i − (6.7 m/s)j. (a) Find vector v1. vector v1 = m/s
(b) What is the acceleration of the particle? vector a...
A particle moves in the xy plane with constant acceleration. At t = 0 the particle...
A particle moves in the xy plane with constant
acceleration. At t = 0 the particle is at r1 =
(4.0 m) + (3.0 m), with velocity 1. At t = 3 s,
the particle has moved to r2 = (9 m) − (2.0 m) and its
velocity has changed to v2 = (5.0 m/s) − (6.0 m/s).
i. Find 1 = m/s
ii. What is the acceleration of the particle?
iii. What is the velocity of the particle as...
The coordinates of an object moving in the XY plane vary with time according to the...
The coordinates of an object moving in the XY plane
vary with time according to the
equations x = −7.43 sin
ωt and y = 4.00 − 7.43
cos ωt,
where ω is a constant, x and y are in
meters, and t is in seconds.
(a) Determine the components of the velocity of the object at
t = 0. (Use the following as necessary: ω.)
(b) Determine the components of the acceleration of
the object at t = 0. (Use the...
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