Question
In: Physics
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 linear momentum (in g · cm/s) of the system at t = 2.90 s.
p = g · cm/s
(c)Determine the velocity (in cm/s) of the center of mass at t = 2.90 s.
vcm = cm/s
(d)
Determine the acceleration (in cm/s2) of the center of mass at t = 2.90 s.
acm = cm/s2
(e)Determine the net force (in µN) exerted on the two-particle system at t = 2.90 s.
Fnet = µN
Solutions
genius_generous answered 2 years 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 3.90 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.
(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
Particle Position and Time The position of a particle moving along the x axis depends on...
Particle Position and Time The position of a
particle moving along the x axis depends on the time
according to the equation x = ct2 -
bt3, where x is in meters and
t in seconds.
(a) What dimension and units must c have?
s2/ms/m2 m/s2m2/s
What dimension and units must b have?
m3/ss/m3 s3/mm/s3
For the following, let the numerical values of c and
b be 3.3 and 1.0 respectively.
(b) At what time does the particle reach its maximum positive...
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...
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 = −5.08 sin ωt and y = 4.00 −
5.08 cos ωt, where ω is a constant, x and y are in meters, and t is
in seconds.
(a) Determine the components of velocity of the object at t = 0.
(Use the following as necessary: ω.) v with arrow = m/s
(b) Determine the components of the acceleration of the object...
The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t...
The position vector F(t) of a moving particle at time t[s] is
given by F(t)= e^t sin(t)i-j+e^t cos(t)k a) Calculate the
acceleration a(t). b) Find the distance traveled by the particle at
time t = 3π/2, if the particle starts its motion at time t = π/2.
c) Find the unit tangent vector of this particle at time t = 3π/2.
d) Find the curvature of the path of this particle at time t =
3π/2.
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?
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