As series resistors are added, the resistance is added directly so the total resistance will be equal to

Since the power is determined as

We have there that

The power is inversely proportional to the increase in resistance, so it will tend to decrease as more resistors are added in series.
The correct answer is: C.
These are some potential dangers of synthetic drug abuse
Answer:
C. 1400
Explanation:
The force exerted = f1 = 250
Diameter d1 = 0.02
r1 = d1/2 = 0.01
Diameter d2 = 0.15
r2 = d2/2 = 0.075
The mass of jack to lift
F1/A1 = f2/A2
250/r1² = f2/r2²
250/0.01² = f2/0.075²
When we cross multiply, we will have:
250x0.005625 = 0.0001f2
1.40625 = 0.0001f2
F2 = 1.40625/0.0001
F2 = 14062.5N
Force f = mg
g = 9.81
m = 14062.5/9.81
Mass = 1433Kg
Therefore option c is correct. A mass of 1400kg can be lifted by the jack
Answer:
Surely Achilles will catch the Tortoise, in 400 seconds
Explanation:
The problem itself reduces the interval of time many times, almost reaching zero. However, if we assume the interval constant, then it is clear that in two hours Achilles already has surpassed the Tortoise (20 miles while the Tortoise only 3).
To calculate the time, we use kinematic expression for constant speed:

The moment that Achilles catch the tortoise is found by setting the same final position for both (and same time as well, since both start at the same time):

Answer:
8.24 m/s
Explanation:
Given:
t = 2.10 s
v₀ᵧ = 0 m/s
vₓ = 22.2 cos(-68.2) m/s
aₓ = 0 m/s²
Find: v₀
In the x direction:
v = at + v₀
22.2 cos(-68.2) = (0) (2.10) + v₀ₓ
v₀ₓ = 8.24
v₀² = v₀ₓ² + v₀ᵧ²
v₀² = (8.24)² + (0)²
v₀ = 8.24 m/s