Answer:
<em>The force is now 9 times the original force</em>
Explanation:
<u>Coulomb's Law
</u>
The electrostatic force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Coulomb's formula is:

Where:

q1, q2 = the particles' charge
d= The distance between the particles
Suppose the distance is reduced to d'=d/3, the new force F' is:




The force is now 9 times the original force
Malleable
Malleability
is a property of matter, that’s specializes in metals, in which these metals
can be bended, twisted or formed into a thinner sheets, and not being able to
shatter to pieces instead it can be formed into a new shape. Unlike the other
three, take for instance hardness. If a hard object such as wood for example
when used with an axe it breaks and it is lead to smithereens. Flammable like
is when applied to fire can dramatically explode when hit it obviously breaks.
Answer:
R₁ = 50.77 Ω
Explanation:
Since, we know that:
Electric Power = P = VI
but from Ohm's Law:
V = IR
(or) I = V/R
Therefore,
P = V²/R
(OR) R = V²/P
where,
V = Battery Voltage
R = Resistance of combination
FOR SERIES COMBINATION:
R = Rs = (57 V)²/48 W
Rs = 67.69 Ω
but, we know that:
Rs = R₁ + R₂
R₁ + R₂ = 67.69 Ω
R₁ = 67.69 Ω - R₂ __________ eqn (1)
FOR PARALLEL COMBINATION:
R = Rp = (57 V)²/256 W
Rp = 12.69 Ω
but, we know that:
Rp = (R₁R₂)/(R₁ + R₂) = 12.69 Ω
using eqn (1) and value of R₁ + R₂, we get
Rp = 12.69 = R₂(67.69 - R₂)/67.69
859.08 = 67.69 R₂ - R₂²
R₂² - 67.69 R₂ + 859.08 = 0
Solving this quadratic equation we get the answers:
Either, R₂ = 50.76 Ω
Either, R₂ = 16.92 Ω
Since, it is stated in the question that R₁ > R₂. Therefore, we choose the second value. So,
<u>R₂ = 16.92 Ω</u>
using this value in eqn (1), we get:
R₁ = 67.69 Ω - 16.92 Ω
<u>R₁ = 50.77 Ω</u>
Answer:
The minimum wall thickness required for the spherical tank is 0.0189 m
Explanation:
Given data:
d = inside diameter = 8.1 m
P = internal pressure = 1.26 MPa
σ = 270 MPa
factor of safety = 2
Question: Determine the minimum wall thickness required for the spherical tank, tmin = ?
The allow factor of safety:

The minimun wall thickness:

Answer:
Weight on Earth = We = 186.2 N
Weight on Mars = Wm = 70.94 N
Explanation:
The weight of an object is defined as the force applied on the object by the gravitational field. The magnitude of weight is given by the following formula:
W = mg
were,
W= Weight of Eric
m = mass of Eric
g = acceleration due to gravity
ON EARTH:
W = We = Eric's Weight on Earth = ?
m = Eric's Mass on Earth = 19 kg
ge = acceleration due to gravity on Earth = 9.8 m/s²
Therefore,
We = (19 kg)(9.8 m/s²)
<u>We = 186.2 N</u>
<u></u>
ON MARS:
W = Wm = Eric's Weight on Mars = ?
m = Eric's Mass on Mars = 19 kg
gm = acceleration due to gravity on Mars = 0.381(ge) = (0.381)9.8 m/s² = 3.733 m/s²
Therefore,
Wm = (19 kg)(3.733 m/s²)
<u>Wm = 70.94 N</u>