Answer:
1m= 3.2 feets
? = 5280 feets
let ? be n
cross multiply
3.2n = 1×5280
n= 5280÷3.2
n= 1650
so, 5280 feets is equal to 1650 metres
In the circuit, the total current is 60 A and the voltage is 240 V. If R1
resistance is 20 Ω, then the R2 resistance would be 5 Ω
<h3>What is resistance?</h3>
Resistance is the obstruction of electrons in an electrically conducting material. The SI unit of the resistance is Ohm
The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.
V=IR
where V is the voltage
I is the current
R is the resistance
For the given problem V= 240 V and I = 60 A
R = V/I
R =240/60
R =4 Ω
For calculating equivalent resistance in parallel combination.
1/Re = 1/R1 + 1/R2
1/4 = 1/20 + 1/R2
R2 = 5 Ω
Thus , the R2 resistance would be 5 Ω, therefore the correct answer is option B.
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The time of flight of the launched particle will be 2v₀ sinθ / g.
<h3>What is kinematics?</h3>
The study of motion without considering the mass and the cause of the motion.
A projectile is launched from level ground with an initial speed v₀ at an angle θ with the horizontal. If air resistance is negligible.
Then the time of flight of the launched particle will be given as,
Determine how long it requires the projectile to reach its highest point in order to calculate the flight duration. Just twice as long as the maximum altitude is the travel time.
At maximum height, 
.
The time to reach maximum height is given as
The time of flight is given as,
Substituting in 
, then we have
The time of flight of the launched particle will be 2v₀ sinθ / g.
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The height reached by the two carts after collision is determined as 5.34 m.
<h3>
Initial velocity of Cart A</h3>
Apply the principle of conservation of mechanical energy.
K.E = P.E
v = √2gh
v = √(2 x 9.8 x 12)
v = 15.34 m/s
<h3>Final velocity of the two carts after the collision</h3>
Apply the principle of conservation of linear momentum for inelastic collision.
m₁u₁ + m₂u₂ = v(m₁ + m₂)
8(15.34) + 4(0) = v(8 + 4)
122.72 = 12v
v = 10.23 m/s
<h3>Height reached by both carts</h3>
Apply the principle of conservation of mechanical energy.
P.E = K.E
mgh = ¹/₂mv²
h = v²/(2g)
h = (10.23²) / (2 x 9.8)
h = 5.34 m
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Answer:
in the water cycle evaporation occurs when the sunlight warms the surface of the water the heat from the sun makes the water molecules move faster and faster until they move so fast they can escape as a gas once evaporated a molecule from water that vapor spends about 10 days in the air
