A fulcrum moving a resistance of 200 g has a distance to the fulcrum of 20 cm, the effort mass of 50 g has a distance to the ful
crum of 80 cm. The resistance moves 10 cm, the effort moves 40 cm. Calculate the IMA.
0.25
1
4
not enough information given
0.25
1
4
not enough information given
1 answer:
Answer:
The ideal mechanical advantage (IMA) is .
Step-by-step explanation:
The ideal mechanical advantage is the ratio of length of longer lever to that of shorter lever
IMA
Please refer to the image attached.
We could see that the the resistance load moves cm towards the fulcrum so the distance of resistance load from fulcrum
Now the as the effort force moves towards the fulcrum overall distance from the fulcrum to the effort force (load)
Plugging the values of the distances in IMA formula we can have.
IMA .
So the IMA of the fulcrum (simple machine)
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Answer:
A)82.02 mi
B) 18.7° SE
Step-by-step explanation:
From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.
A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;
a² = b² + c² - 2bc Cos A
Thus, let the distance between the home port and forrest island be x.
So,
x² = 40² + 65² - 2(40 × 65)cos 100
x² = 1600 + 4225 - (2 × 2600 × -0.1736)
x² = 6727.72
x = √6727.72
x = 82.02 mi
B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;
A/sinA = b/sinB = c/sinC
82.02/sin 100 = 40/sinθ
Cross multiply to get;
sinθ = (40 × sin 100)/82.02
sin θ = 0.4803
θ = sin^(-1) 0.4803
θ = 28.7°
From the diagram we can see that from parallel angles, 10° is part of the total angle θ.
Thus, the bearing from Forrest Island back to his home port is;
28.7 - 10 = 18.7° SE
