2265 helium-filled balloons will be needed to lift a person whose mass is 70 kg.
Bouyancy, also known as upthrust, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. According to Achimede's principle, a force acts in opposition to an object's weight; if the force is higher than the object's weight, the object will float, but if the force is less than the object's weight, the object will sink. As a result, the helium balloon's weight must be more than the man's weight in order to lift him.
Vm = 30L
Mass = 70kg
Air density = 1.20kg/m^3
Helium density = 0.17kg/m^3
Overall density = Air density - Helium density
= 1.20 - 0.17
= 1.03kg/m^3
Convert the overall density to kg/liter
1.03/1000
0.00103kg/liter
Force on balloon
F = Overall density × vm
= 0.00103 × 30
= 0.0309kgf
Number of ballons is
70kgf/ 0.0309kgf
= 2265.37 ballons
=2265 ballons
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Let's take the positive x-direction towards east and the positive y-direction towards south. The momentum must be conserved on both directions, after the collision. On the x-direction, initially we have only momentum from car 1, while on the y-direction initially only car 2 contributes to the total momentum of the system. After the collision, the two cars will move together with a total mass (m1+m2) and with final velocity vf, which can be decomposed on both directions. All of this translates into the equations:
(1)
(2)
where
,
,
and
.
and
are the components of the final velocity on both axes x and y.
By dividing equation (2) by (1), we get:
And the tangent of this ratio gives exactly the angle of the velocity vf in the south-east direction, with respect to the positive x-axis, so it gives us the direction of the final velocity:
Answer:
I think that the liquids molecules are slowing down. Hope this helps!
Explanation:
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Answer:
the correct answer is wavelength
Ohms law means
a law stating that electric current is proportional to voltage and inversely proportional to resistance