Answer:
Option A. 57.14 Ω
Explanation:
From the question given above, the following data were obtained:
Resistor 1 (R₁) = 100 Ω
Resistor 2 (R₂) = 400 Ω
Resistor 3 (R₃) = 200 Ω
Equivalent Resistor (Rₚ) =?
The equivalent resistor in the above circuit can be obtained as follow:
1/Rₚ = 1/R₁ + 1/R₂ + 1/R₃
1/Rₚ = 1/100 + 1/400 + 1/200
Find the least common multiple (lcm) of 100, 400 and 200. The result is 400. Divide 400 by 100, 200 and 400 respectively and multiply the result with the numerator as shown
1/Rₚ = (4 + 1 + 2)/400
1/Rₚ = 7/400
Invert
Rₚ = 400/7
Rₚ = 57.14 Ω
Answer:
The wood block reaches a height of 4.249 meters above its starting point.
Explanation:
The block represents a non-conservative system, since friction between wood block and the ramp is dissipating energy. The final height that block can reach is determined by Principle of Energy Conservation and Work-Energy Theorem. Let suppose that initial height has a value of zero and please notice that maximum height reached by the block is when its speed is zero.



(1)
Where:
- Maximum height of the wood block, in meters.
- Initial speed of the block, in meters per second.
- Kinetic coefficient of friction, no unit.
- Gravitational acceleration, in meters per square second.
- Mass, in kilograms.
- Distance travelled by the wood block along the wooden ramp, in meters.
- Inclination of the wooden ramp, in sexagesimal degrees.
If we know that
,
and
, then the height reached by the block above its starting point is:


The wood block reaches a height of 4.249 meters above its starting point.
A model would be useful for a scientist because it allows prediction of what may happen without doing really the experiments. It saves time and money for the scientist. Also, it helps scientists in communicating their <span>scientific investigation to people.</span>
Answer:
68.445 cm³/s
Explanation:
Given:
Volume, V = 
radius = 5.85 cm
Growth rate of radius = 0.5 cm/week
now
differentiating the volume with respect to time 't', we get:

or

now, substituting the value of r (i.e at r = 5.85cm) in the above equation, we get:

or

hence, the rate of change of volume at r = 5.85cm is 68.445 cm³/s
Answer:
A. a balance and a beaker of water
Explanation:
The balance is for mass.
The beaker of water is for volume.