What is the measurement of the missing angle for the following?
1 answer:
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Step-by-step explanation:
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f(x) is the same as y
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Answer:
Plane's speed is 150 miles/hour
Step-by-step explanation:
Let the plane's airspeed be x
Speed of wind is 30 miles/hour
When a plane flew with the wind , Speed = (x+30)
So, the speed plain with wind on going = (x+30)
Since we are given that on returning plane fly against the wind .
So,When a plane flew against the wind , Speed = (x-30)
So, the speed plain against wind on returning = (x-30)
Distance = 720 miles .
So, time on going
Time on returning
Now we are given that the total time for the whole trip (going + returning) = 10 hours.
So,
So, the plane's speed is 150 miles/hour
Answer:
(i) F = 25 N
(ii) F = 35.36 N
(iii) F = 43.3 N
Step-by-step explanation:
We note that the component of force acting along the incline surface is given by the relation
Force, acting parallel to the incline plane, = M×g×sin(θ)
Given that the weight of the body is given as 50 N, we have;
M×g = 50 N
Therefore we have;
(i) For the plane with angle of elevation = 30°
= M×g×sin(θ) = 50 × sin(30°) = 25 N
The force = F = 25 N
F = 25 N
(ii) For the plane with angle of elevation = 45°
= M×g×sin(θ) = 50 × sin(45°) = 50 × (√2)/2 = 25·√2 N
= F = 25×√2 N = 35.36 N
F = 35.36 N
(iii) For the plane with angle of elevation = 60°
= M×g×sin(θ) = 50 × sin(60°) = 50 × (√3)/2 = 25·√3 N
= F = 25×√3 N = 43.3 N
F = 43.3 N.