An Energy Transfer Diagram is also known as Sankey diagram and this shows the input energy taken in and the transformation of the output energy in another form. Therefore the basis for analyzing an energy transfer diagram would be the sum of all outputs must equal the input. Therefore, it is the third option. Hope this answer helps.
Answer: 25.2 km
<u>Explanation:</u>
3 blocks east and four blocks east = 7 blocks
1 block = 0.3 km --> 7 blocks = 2.1 km
12 times 2.1 km = 25.2 km
The 102N acting on the ropes being pulled by eric and kim have some of that force acting horizontally, and some of it vertically. By visualizing it as a right angled triangle, with the hypotenuse the length of the diagonal force, and each side the length of the horizontal and vertical forces, you can use trigonometry to calculate the length of the vertical force. You are told that it is at an angle of 30 with the vertical rope, therefore you know the length of the hypotenuse, and the angle between it and the vertical force, so using trig: (vertical force=x)
x/102=cos(30)
x=102*cos(30)
x=88.33
Therefore the diagonal ropes give a vertical force of 88.33N, and the centre rope, as it acts vertically, gives a vertical force of all 102N. The total:
88.33*2+102=278.66N
I don't know if this is very clear, I hope its good enough to help. If you don't understand, just ask, and I can answer any questions!!! :)
Answer:
w = 0.886 rad / s
Explanation:
Angular and linear variables are related
a = α r
where a is the linear acceleration, α the angular acceleration and r the radius of gyration
α = a / r
the angular velocity we can find it
w² = w₀² + 2 α θ
the initial angular velocity is zero, the angles to be horizontal is
θ = π/ 2 rad
we substitute
w = √ 2 a / r θ
we calculate
w = √ (2 3/12 π/2)
w = 0.886 rad / s
Answer:
Gravitational potential energy
Explanation:
The gravitational potential energy is the energy that an object has because of its positive with respect to a certain reference level (generally assumed to be the ground level).
The magnitude of the gravitational potential energy is given by

where
m is the mass of the object
g is the strenght of the gravitational field
h is the height of the object with respect to the reference level
From the formula, we see that the higher the object is, the larger its gravitational potential energy is.