Answer:
a) 0.09N b) positive x direction
Explanation:
Force on a conductor carrying current in a magnetic field can be expressed as;
F = BILsin(theta) where
F is the force on the conductor (wire)
B is the uniform magnetic field I'm Tesla = 1.8Tesla
I is the current in the wire = 5×10^-2A
L is the length of the wire = 1m
theta is the angle that the conductor make with the magnetic field = 90° (since the wire in the horizontal direction is perpendicular to the field acting upwards)
Substituting this value in the formula to get F we have;
F = 1.8×5×10^-2×1 × sin90°
F = 0.09N
The force on the wire is 0.09N
b) The direction of the force is in the positive x direction since the wire acts horizontally to the magnetic field.
If the observer on Earth measures the speed of the spacecraft
as 0.700c and its length as 78.0 meters, then engineers aboard
the spacecraft measure their vehicle as 142.4 meters long.
They're both correct. There's no such thing as the spacecraft's
"real" or "proper" length.
Answer:
L = 0.99 m = 99 cm
Explanation:
The period is the reciprocal of the frequency.
T = 1/0.5 = 2.0 s
T = 2π√(L/g)
L = g(T/2π)²
L = 9.8(2.0/2π)² = 0.99 m
If the system accelerates upward, it will cause the apparent gravity to increase. This will require a longer pendulum to keep the same period, or shorten the period if the length remains the same. This shows up in the equation where the product of gravity and the square of the period must remain constant for the length to remain constant.
A pipe's length is equal to 1⁄2 of the wavelength of the sound waves produced by a tuning fork vibrating over one end of the pipe that's open to the air at both ends.
