Answer:
0.3858 Nm
Explanation:
The torque of the couple is the dot product of the force vector and the couple vector from 1 end of the ruler to the center. This equals to the product of their magnitude times the cosine() of the angle made by their direction:

<span>Ans : The total measured force will be : total centripetal force F = m*r*w^2 F = force r = radius w = angular velocity 1.8 = m*0.12*10^2 mass m = 0.15 kg</span>
Answer:
Explanation:
We have here values from SI and English Units. I will convert the units to English Units.
We hace for the power P,


we have other values such
and
(specific weight of the water), and 0.85 for \eta
We need to figure the flow rate of the water (V) out, that is,

Where
is the turbine efficiency, at which is,

Replacing,


With this value (the target of this question) we can also calculate the mass flow rate of the waters,
through the density and the flow rate,

converting the slugs to lbm, 1slug = 32.174lbm, we have that the mass flow rate of the water is,

Answer:
The 40g mass will be attached at 69 cm
Explanation:
First, make a sketch of the meterstick with the masses placed on it;
--------------------------------------------------------------------------
↓ Δ ↓
20 g.................50 cm.................40g
38 cm y cm
Apply principle of moment;
sum of clockwise moment = sum of anticlockwise moment
40y = 20 (38)
40y = 760
y = 760 / 40
y = 19 cm
Therefore, the 40g mass will be attached at 50cm + 19cm = 69 cm
12cm 50 cm 69cm
--------------------------------------------------------------------------
↓ Δ ↓
20 g.................50 cm.................40g
38 cm 19 cm
Answer:
B. They are inversely proportional to the square of the distance.
Explanation:
The gravitational force between two objects is given by:

where
G is the gravitational constant
m1, m2 are the masses of the two objects
r is the distance between the two objects
While the electrical force is given by

where
k is the Coulomb's constant
q1, q2 are the charges of the two objects
r is the distance between the two objects
As we see from the two equations, both forces are inversely proportional to the square of the distance, so the correct option is
B. They are inversely proportional to the square of the distance.