The net force on the sledge is 31.64N.
Frictional force = µkR
= 0.269 x 42.2 x 9.81 = 111.36
net force = 143N - 111.36N
= 31.64N
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<span>0.0001 km / year or 10^-5 km/year just take 50 km and divide it by 5 million</span>
Answer: 28.96 V
Explanation:
Given
No of loops on the armature, N = 80
Length of the loop, l = 12 cm = 0.12 m
Width of the loop, b = 8 cm = 0.08 m
Speed of the armature, 1200 rpm
Magnetic field of the loop, B = 0.30 T
To solve this, we use the formula
V(max) = NBAω
Where,
A = area of loop
A = l*b = 0.12 * 0.08
A = 0.0096 m²
ω = 1200 rpm = 1200 * 2π/60 rad/s
ω = (1200 * 2 * 3.142) / 60
ω = 7540.8 / 60
ω = 125.68 rad/s
Substituting the values into the formula
V(max) = NBAω
V(max) = 80 * 0.30 * 0.0096 * 125.68
V(max) = 80 * 0.362
V(max) = 28.96 V
Therefore, the maximum output voltage of the generator would be 28.96 V
Answer:
The rate of change of distance between the two ships is 18.63 km/h
Explanation:
Given;
distance between the two ships, d = 140 km
speed of ship A = 30 km/h
speed of ship B = 25 km/h
between noon (12 pm) to 4 pm = 4 hours
The displacement of ship A at 4pm = 140 km - (30 km/h x 4h) =
140 km - 120 km = 20 km
(the subtraction is because A is moving away from the initial position and the distance between the two ships is decreasing)
The displacement of ship B at 4pm = 25 km/h x 4h = 100 km
Using Pythagoras theorem, the resultant displacement of the two ships at 4pm is calculated as;
r² = a² + b²
r² = 20² + 100²
r = √10,400
r = 101.98 km
The rate of change of this distance is calculated as;
r² = a² + b²
r = 101.98 km, a = 20 km, b = 100 km
The function y must be equal to 0 on any interval on which it is defined. The function y must be increasing (or equal to 0) on any interval on which it is defined.
Analysis of solution by seeing differential equation:
Given differential equation is: y' = (1/2)y2
How do deduce the results just by seeing them?
The equation tells us that:
rate = positive of ( y^2 )
rate = positive of (positive or zero) = positive or zero
Thus, the rate is positive or zero no matter what value we put in the place of y from its valid domain, since.
When the rate is positive or zero, that means the function will never grow upwards. Thus, either increasing or staying at the same level.
Learn more about differential equations here:
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