at time t= 0 , a particle is located at the point
(4,8,7). it travels in...
at time t= 0 , a particle is located at the point
(4,8,7). it travels in a straight line to the point (7,1,6) has
speed 7 at (4,8,7) and constant acceleration 3i-7j-k. find an
equation for the position vector r(t) of the particle at time
t
at time t=0, a particle is located at the
point(4,8,7). it travels in a straight line to the point (7,1,6),
has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. Find an
equation for the position vector r(t) of the particle at time
A particle moves from point A = (0, 0, 0) to point B = (2π, 0,
2π), under the action of the force F = xi +
yj − zk .
a. Calculate the work done by the force F on
the particle if it moves along the conic-helical curve
r(t) = (t cost )i +
(t sint )j +
tk with 0 ≤ t ≤ 2π.
b. Find a parametric vector equation for the straight line
connecting A to...
Q.1- At time t=0.00s, a particle located at the origin in the
x-y plane has a velocity given by
3.00m/s i + 2.00m/s j. Three seconds later, the velocity is
9.00m/s i - 7.00m/s j. Assume
that the particle had a constant acceleration during those
three seconds.
1- What was the acceleration of the particle?
2-What is the position of the particle at t=3.00s?
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 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...
A particle is moving according to the given data
v(t)=t^2 - sqrt(t), x(0) = 0, 0 ≤ t ≤ 4.
• Find x(t), the position of the particle at time t.
• For what values of t is the particle moving to the left? To the
right?
• Find the displacement of the particle.
• Find the total distance covered by the particle.
A particle (charge = -15.0 µC) is located on the x- axis at the
point x = -25.0 cm, and a second particle (charge = +45.0 µC) is
placed on the x- axis at x = +30.0 cm. What is the magnitude of the
total electrostatic force on a third particle (charge = -3.50 µC)
placed at the origin (x = 0)?
A particle with charge 7 µC is located on the x-axis at the
point −4 cm , and a second particle with charge 4 µC is placed on
the x-axis at 8 cm . What is the magnitude of the total
electrostatic force on a third particle with charge −4 µC placed on
the x-axis at 2 cm ? The Coulomb constant is 8.9875 × 109 N · m2 /C
2 . Answer in units of N.
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.
Q3. Point charge q1 = 2.0 nC is located at (0,
0).
What is the electric potential at point A (2.0 cm,0)?
What is the electric potential at point B (3.0 cm, 0)?
What is the change of electric potential from A to
B?
What is the change of electric potential energy for a
proton when it moves from A to B?
What is the change of electric potential energy for an
electron when it moves from A to B?...