<span>No sé una palabra que acaba de decir, ¿se puede decir en inglés por favor ???</span>
Answer: 2.37N
Explanation:
According to coulombs law which states that the force of attraction (F) between two charges (q1 and q2) is directly proportional to the product of their charges and inversely proportional to the square of the distance (r) between them. Mathematically,
F = kq1q2/r²
For the first two charges that are sitting 1.5 m apart with a force of 3 N between them, we have
3 = kq1q2/1.5²
3 = kq1q2/2.25
Kq1q2= 6.75... (1)
If the charges are now moved farther apart 2.25 m and one of the charges is increased by a factor of 4. The formula becomes
F2 = k(4q1)q2/2.25² (q1 has been increased by factor of 4)
k(4q1)q2 = 5.06F2 ... (2)
Dividing 2 by 1 we have
k(4q1)q2/kq1q2 = 5.06F2/3
4 = 5.06F2/3
5.06F2 = 12
F2= 12/5.06
F2 = 2.37N
Therefore the magnitude of the new force between the two charges is 2.37N
ANSWER:
0.0562 J
STEP-BY-STEP EXPLANATION:
Angular momentum is expressed in terms of moment of inertia and angular velocity. This is expressed as follows:
Here, I is the angular momentum and ω is the angular velocity.
Angular momentum is mass time the square of the radius of the object. Moment of inertia for a uniform disk is given as,
Here, m is the mass of the disk and r is the radius of the disk.
Replacing:
Convert the units of angular velocity into rad/s.
We replace each data to calculate the angular momentum:
The angular momentum of the uniform disk is 0.0562 J
Say we have a cylinder
that has a height of dx, we see that the cylinder has a volume of: <span>
<span>Vcylinder = πr^2*h = π(5)^2(dx) = 25π dx
Then, the weight of oil in this cylinder is:
Fcylinder = 50 * Vcylinder = (50)(25π dx) = 1250π dx.
Then, since the oil x feet from the top of the tank needs to
travel x feet to get the top, we have:
Wcylinder = Force x Distance = (1250π dx)(x) = 1250π x dx.
<span>Integrating from x1 to x2 ft gives the total work to be: (x1
= distance from top liquid level to ground level; x2 = distance from bottom
liquid level to ground level)</span>
<span>W = ∫ 1250π x dx
<span>W = 1250π ∫ x dx
W = 625π * (x2 – x1)</span></span></span></span>
<span>x2 = 14 ft + 15 ft = 29 ft</span>
x1 = 14 ft + 1 ft = 15
ft
<span>
W = 625π * (29^2 - 15^2)
<span>W = 385,000π ft-lbs
= 1,209,513.17 ft-lbs</span></span>
Answer:
a) a right triangle, b) x = 0.167 m
Explanation:
a) It is asked to find which geometry figure describes the movement of the ant.
Let's use trigonometry with the angles measured in radians
tan θ = y / x
tan θ = 6/10
θ = tan⁻¹ 0.6
θ = 0.54 rad
this value is equal to the upward slope therefore the geometric body that describes the movement is a right triangle
b) it is asked to find the horizontal displacement for a vertical displacement of y = 0.1 cm x = y / tan tea
x = 0.1 / tan 0.54
x = 0.1668 m
x = 0.167 m
