Question

A force F is applied to a spacecraft with velocity vector v. Express F as a sum of vector ?? and ??, where ?? is parallel to v and ?? is orthogonal to v.

? = ? + ? − 2?, ? = 12? + 5k

Answer #1

i. The maximum velocity of the
piston and the maximum force that can be applied in the forward
stroke. (2 points)
ii. The maximum velocity of the
piston and the maximum force that can be applied in the reverse
stroke. (2
points)
Hints:
Velocity: V
= Q/A
V = Velocity of Piston
A = Area of cylinder cross
section,
Q = volumetric flow rate,
Applied Force,
F = p A
F = Applied force
p = fluid pressure
A = Area of cylinder cross section,...

The vector F is given by F = v × B, where v = 27i + 30j + -1k
and B = 13i + 5j + 21k.
Calculate the value of the x-component of F.
Calculate the value of the y-component of F.
Calculate the value of the z-component of F.
Calculate the magnitude F.
Calculate the (smaller) angle between two straight lines, one
parallel to v and the other to B.

Determine
the following:
i. The maximum velocity of the
piston and the maximum force that can be applied in the forward
stroke. (2 points)
ii. The maximum velocity of the
piston and the maximum force that can be applied in the reverse
stroke. (2
points)
Hints:
Velocity: V
= Q/A
V = Velocity of Piston
A = Area of cylinder cross
section,
Q = volumetric flow rate,
Applied Force,
F = p A
F = Applied force
p = fluid pressure
A = Area of...

velocity (v) of an object is defines as the rate of change in
position vector (s). acceleration (a) is defined as the rate of
change in velocity (v). express the units of velocity and
acceleration in terms of the correct basic parameters in
physics.

the electrostatic force vector F for a system of unit
charges is defined by vector F=(x^2+y^2+z^2)^n (xi+yj+zk). where is
an integer. Find (a) div vector F, (b) a scalar potential psi such
that F =-delta psi. Leave your answer in terms of vector |r| where
vector r=(xi+yj+zk).
the electrostatic force vector F for a system of unit
charges is defined by vector F=(x^2+y^2+z^2)^n (xi+yj+zk). where is
n an integer. Find (a) div vector F, (b) a scalar potential psi
such...

A particle with positive charge q = 2.56 10-18 C moves with a
velocity v with arrow = (3î + 5? ? k) m/s through a region where
both a uniform magnetic field and a uniform electric field exist.
(a) Calculate the total force on the moving particle, taking B with
arrow = (3î + 5? + k) T and E with arrow = (2î ? ? ? 5k) V/m. Fx =
N Fy = N Fz = N (b)...

f an electron moves in a magnetic field,
it always feels a force.
it only feels a force if its velocity vector is parallel (or
antiparallel) to the direction of the magnetic field.
it only feels a force if its velocity vector is not parallel (or
antiparallel) to the direction of the magnetic field.
it does not feel a force if it is in motion, only if
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A charged particle with charge q and unknown velocity v
experiences a force F in a magnetic field B . Determine as much
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consider a damped pendulum where the damping force is given by F
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dertemine an expression for the period of the pendulum for its
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Let V = R and F = Q (V is a F-vector space). Is the subset S1 =
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