Answer:
Valid Expressions are; t = ∛(d²/va), a = d/t², a = √(vd/t³), v = at
while the Invalid expressions are; v = a/t and d = at
Explanation:
Given expressions
1) v = a/t
2) t = ∛(d²/va)
3) d = at
4) a = d/t²
5) a = √(vd/t³)
6) v = at
First we get our units of parameters
V = m/s, t = sec, d = m, a = m/s²
so
1)
v = a/t
we substitute in our units of parameters
v = m/s² / s = m/s² × 1/s = m/s³
v ≠ m/s³
therefore it is false
2)
t = ∛(d²/va)
we substitute
t = ∛(m² / m/s × m/s²)
t = ∛(m² / m²/s³)
t = ∛(s³)
t = s
correct, the expression is true
3)
d = at
we substitute
d = m/s² × s
d = m/s² × s/1 = ms/s² = m/s
d ≠ m/s (because d = m)
so expression is false
4)
a = d/t²
we substitute
a = m / s² = m/s²
correct
the expression is true
5)
a = √(vd/t³)
we substitute
a = √(m/s×m / s³) = √(m²/s / s³) = √(m²/s × 1/s³) = √(m²/s⁴) = m/s²
so a = m/s²
correct
the expression is true
6)
v = at
we substitute in the units
v = m/s² × s = m/s² ×s/1 = ms/s² = m/s
v = m/s
correct
the expression is correct
Electrical force between the two charges is (attractive)
Explanation:
The magnitude of the electrostatic force between two charged particles is given by Coulomb's law:
where:
is the Coulomb's constant
are the charges of the two particles
r is the separation between the two particles
In this problem, we have:
is the charge of the first particle
is the charge of the second particle
r = 3 m is the separation between them
Substituting into the formula, we find the force:
And the negative sign means the force is attractive (the electric force between two charges with opposite sign is attractive)
Learn more about electric force:
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(+105) + (+80) = 185 units.
The resultant amplitude of the wave is 185 units.
These are the two powers that were denied from Congress in the constitution: Bill of attainer, E<span>x post facto law, Ability to pass bills w/o presidents approval, Cannot give people titles of nobility. In addition, this might also help. The congress also denied </span><span>suspending the writ of habeas corpus, except in the event of rebellion or invasion. Hope this helps.</span>
Answer: c) 42 N
Explanation:
M = 2.5 kg
L = 2.5 m
h = L(1 - sin 40 degrees)
Potential energy Mgh = MgL(1 - sin 40 degrees )
kinetic energy = MgL(1 - sin 40 degrees)
(1/2)Mv^2 = MgL(1 - sin 40 deg)
Mv^2 = 2MgL(1 - sin 40 deg)
Fc = Mv^2/L
Fc = 2Mg(1 - sin 40 deg)
= 2 x 2.5 x 9.8 x (1 - sin 40 deg)
Fc = 17.5 N
Let T = tension in the string.
T - Mg = Fc
T - 2.5 x 9.8 = 17.5
T - 24.5 = 17.5
T = 17.5 + 24.5
T = 42 N