Choices #1, #4, and #5 are true.
Choices #2 and #3 aren't.
To solve this problem it is necessary to apply the concepts related to Newton's second law, the definition of density and sum of forces in bodies.
From Newton's second law we understand that
Gravity at this case)
Where,
m = mass
a= acceleration
Also we know that
Part A) The buoyant force acting on the balloon is given as
As mass is equal to the density and Volume and acceleration equal to Gravity constant
PART B) The forces acting on the balloon would be given by the upper thrust force given by the fluid and its weight, then
PART C) The additional mass that can the balloon support in equilibrium is given as
Answer:
a) 14M
Explanation:
a)The inertia of a particle moving in a circular axis is given by,
I = Moment of inertia
M = mass of the particle
r = perpendicular distance from axis of rotation.
And by adding moment of inertia of each particle we can come to the moment of inertia of the system.
I = M+M +M+M
= 14M
b) Your question is incomplete but I'll write how to find the minimum force required to give a system given angular acceleration.
Minimum force is found when applied from the furthest point to the axis of rotation in the system.
, by τ = Fr, whereτ = torque , F = Force , = perpendicular distance from axis of rotation.
For minimum force r = 3d
And also τ = Iα where I = Moment of inertia and α = angular acceleration
By combining the two equations you get minimum force as,
F = Iα/r
F' = 14Mα/3d
= 14Mαd/3
Answer:
d = 8.4 cm
Explanation:
In order to calculate the amplitude of oscillation of the top of the building, you use the following formula for the max acceleration of as simple harmonic motion:
(1)
A: amplitude of the oscillation
w: angular speed of the oscillation = 2f
f: frequency = 0.17Hz
The maximum acceleration of the top of the building is a 2.0% of the free-fall acceleration. Then, you have:
Then, you solve for A in the equation (1) and replace the values of the parameters:
The total distance, side to side, of the oscilation of the top of the building is twice the amplitude A. Then you obtain:
d = 2A = 2(4.2cm) = 8.4cm
The correct answer is D. Coal
It is non renewable because it will not come into existence on its own if we don't mine it. Other resources will replenish over time.