Answer:
The gravitational force between them quadruples
Explanation:
According to law of gravitation, the force of attraction (F) between two masses m1 and m2 is directly proportional to the product of the masses and inversely proportional to the square of the distance(r) between them. Mathematically,
F1 = Gm1m2/r²... 1
If their masses doubles, the formula becomes;
F2 = G(2m1)(2m2)/r²
F2 = 4Gm1m2/r² ... 2
Dividing equation 2 by 1, we have;
F2/F1 = {4Gm1m2/r²}÷{Gm1m2/r²}
F2/F1 = 4Gm1m2/r²×r²/Gm1m2
F2/F1 = 4
F2 = 4F1
The gravitational force between the masses when they doubles quadruples.
Answer:
3. none of these
Explanation:
The rotational kinetic energy of an object is given by:
where
I is the moment of inertia
is the angular speed
In this problem, we have two objects rotating, so the total rotational kinetic energy will be the sum of the rotational energies of each object.
For disk 1:
For disk 2:
so the total energy is
So, none of the options is correct.
Calculate the weight of the table through the equation,
W = mg
where W is the weight, m is the mass, and g is the acceleration due to gravity. Substituting the known values,
W = (0.44 kg)(9.8 m/s²)
<em>W = 4.312 N</em>
The components of this weight can be calculated through the equation,
Wx = W(sin θ)
and Wy = W(cos θ)
x - component:
Wx = W(sin θ)
Substituting,
Wx = (4.312 N)(sin 150°) = <em>2.156 N</em>
Wy = (4.312 N)(cos 150°) =<em> -3.734 N</em>
Answer:
Explanation:
If I assume that the wind did not cause the plane to chage its velocity.
The plane will have a velocity of vp = (0*i + 100*j) km/h relative to ground
The cart has a velocity of vc = (0*i - 20*j) km/h relative to the plane
vc' = vc + vp
vc' = (0*i + 100*j) + (0*i - 20*j) = (0*i + 80*j) km/h relative to the ground.
If I assume that the wind move the plane:
The plane will have a velocity of vp = (-40*i + 100*j) km/h relative to ground
The cart has a velocity of vc = (0*i - 20*j) km/h relative to the plane
vc' = vc + vp
vc' = (-40*i + 100*j) + (0*i - 20*j) = (-40*i + 80*j) km/h relative to the ground.
In reality the wind would move the plane a little, not to the full speed of the wind, somewhere between these two values, but without more data it cannot be calculated.
Answer:
Mendeleev predicted the atomic mass of each element along with compounds they each should form.
Explanation:
Based on other elements in the same group he predicted the existence of eka-aluminum and eka-silicon, later to be named gallium (Ga) and germanium (Ge).
