Answer:
Option D. 5.45 Ω
Explanation:
From the question given above, the following data were obtained:
Resistance 1 (R₁) = 10 Ω
Resistance 2 (R₂) = 20 Ω
Resistance 3 (R₃) = 30 Ω
Voltage (V) = 120 V
Equivalent resistance (R) =?
The equivalent resistance can be obtained as follow:
1/R = 1/R₁ + 1/R₂ + 1/R₃
1/R = 1/10 + 1/20 + 1/30
Find the least common multiple (lcm) of 10, 20 and 30. The result is 60
Divide 60 by each of the denominators and multiply by their numerators respectively. We have:
1/R = (6 + 3 + 2)/60
1/R = 11/60
Invert
R = 60/11
R = 5.45 Ω
Thus, the equivalent resistance in the circuit is 5.45 Ω
Given
hypotenuse is 36
base is 24
Procedure
Cos function (or cosine function) in a triangle is the ratio of the adjacent side to that of the hypotenuse. The cosine function is one of the three main primary trigonometric functions and it is itself the complement of sine(co+sine).
The answer would be 48 degrees
Answer:
option E.
Explanation:
When the ball is at the highest point the velocity of the ball is zero.
At the height point the kinetic energy is zero and potential energy is maximum.
At maximum point momentum cannot be maximum because velocity is zero.
Acceleration on the ball is equal to acceleration due to gravity on the ball.
Hence, the correct answer is option E.
Given Information:
Resistance = R = 250 Ω
Voltage = V = 3 V
Tolerance = ±5%
Required Information:
Maximum current = Imax = ?
Minimum current = Imin = ?
Answer:
Imax = 12.6 uA
Imin = 11.4 uA
Explanation:
As we know from Ohm's law
I = V/R
The current will be maximum when R is minimum and the current will be minimum when R is maximum
Rmax = 250,000 + 0.05*250,000
Rmax = 250,000 + 12500
Rmax = 262500 Ω
Rmin = 250,000 - 0.05*250,000
Rmin = 250,000 - 12500
Rmin = 237500 Ω
Imax = V/Rmin
Imax = 3/237500
Imax = 12.6 uA
Imin = V/Rmax
Imin = 3/262500
Imin = 11.4 uA
Impulse = mass * change in velocity (change in momentum) = Force * change in time
So, F=(m*change in v)/(change in t)
F=(60*20)/0.5=2400N
Therefore the magnitude of the average force exerted on the cyclist by the haystack is 2.4*10^3N
