Answer:
Fg = 98.1 [N]; N = 98.1 [N]; Ff = 39.24 [N]; a = 2.076[m/^2]
Explanation:
To solve this problem, we must make a free body diagram and interpret each of the forces acting on the box. In the attached diagram we can find the free body diagram.
The gravitational force is equal to:
Fg = (10 * 9.81) = 98.1 [N]
Now by summing forces on the Y axis equal to zero, we can find the normal force exerted by the surface.
N - Fg = 0
N = Fg
N = 98.1 [N]
The friction force is defined as the product of normal force by the coefficient of friction.
Ff = N * μ
Ff = 98.1 * 0.4
Ff = 39.24 [N]
By the sum forces on the x-axis equal to the product of mass by acceleration (newton's second law), we can find the value of acceleration.
60 - Ff = m * a
60 - 39.24 = 10 * a
a = 2.076[m/^2]
The equation that relates the voltages and the number of turns in a transformer is
where
is the voltage in the secondary coil,
is the voltage in the primary coil, and
and
are the number of turns on the secondary and primary coils.
Using the numbers, we find the ratio between the number of turns:
<h2>
Electric field at the location of the charge is 1250 N/C</h2>
Explanation:
Electric field is the ratio of force and charge.
Force, F = 3.00 mN = 3 x 10⁻³ N
Charge, q = 2.40 μC = 2.40 x 10⁻⁶ C
We have
Electric field at the location of the charge is 1250 N/C
There are problems with the first sentence, and it's not really needed when
working with this question. So let's just take the 20 (Hz ?) frequency from
the first sentence, and ignore the rest of it for right now.
Wavelength = (speed) / (frequency) =
(331 m/s) / (20 Hz) = <em>16.55 meters</em>.