Information provided:
Length of wire, L = 320 m
Current through the wire, I = 120 Amps
Earth's magnetic field acting on the wire, B = 5.0*10^-5 T
Angle at which the magnetic field acts, Ф = 60°
By definition;
Force on the wire, F = LBI Sin Ф
Substituting;
F = 320*5*10^-5*120*Sin 60 = 1.663 N
Answer:
3.04 m/s
Explanation:
As the woman moves north, the raft moves south.
We then make the following assumptions for easier calculations
Let the motion of the woman = x
Let the motion of the raft = 4.2 - x
Using law of momentum, we see that
m*v = m1*v1, where
m = 56 kg
v = x
m1 = 149 kg
v1 = (4.2 -x)
Substituting the values into the equation, we have
56 * x = 149 (4.2 - x), opening the bracket
56x = 623 - 149x collecting like terms
205x = 623 Divide by 205
x = 623/205
x = 3.04 m/s
This then means that our answer is 3.04 m/s
Answer:
2.23 Hz
Explanation:
From the attached diagram below; there exists a diagrammatic representation of the equilibrium position of the cylinder.
The equilibrium position of the spring is expressed as:
mg = K
where;
m = mass of the object
g = acceleration due to gravity
K = spring constant
= static deflection of the string
Given that:
m = 30 kg
g = 9.81 m/s²
= 50 mm = 50 ×
= 0.05 m
Then;
From here; let us find the angular velocity which will be needed to determine the natural frequency aftewards.
The angular velocity of the cylinder can be expressed by the formula:
Finally; the natural frequency can be calculated by using the equation
= 2.229305729
≅ 2.23 Hz
Thus; the resulting natural frequency of the vertical vibration of the cylinder = 2.23 Hz
Answer:
The force of <u>Gravity</u> is what holds you down to earth.
The <u>length</u> of on a vector is indicated by the length of its arrow.
A measure of the force of gravity on an object is called <u>weight</u>.
Einstein explained gravity as a <u>distortion </u>in space.
If you had the mass of 600 kg on the earth; you would have the mass of <u>226.8 kg</u> on the tiny Mercury.
I hope this helps you! :)