To solve the exercise it is necessary to keep in mind the concepts about the ideal gas equation and the volume in the cube.
However, for this case the Boyle equation will not be used, but the one that corresponds to the Boltzmann equation for ideal gas, in this way it is understood that

Where,
N = Number of molecules
k = Boltzmann constant
V = Volume
T = Temperature
P = Pressure
Our values are given as,




Rearrange the equation to find V we have,



We know that length of a cube is given by

Therefore the Length would be given as,



Therefore each length of the cube is 3.44nm
The cart travelled a distance of 14.4 m
Explanation:
The work done by a force when pushing an object is given by:

where:
F is the magnitude of the force
d is the displacement
is the angle between the direction of the force and the displacement
In this problem we have:
W = 157 J is the work done on the cart
F = 10.9 N is the magnitude of the force
, assuming the force is applied parallel to the motion of the cart
Therefore we can solve for d to find the distance travelled by the cart:

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An object that has kinetic energy must be <em>moving</em>.
The formula for an object's kinetic energy is
KE = (1/2) · (the object's mass) · <u><em>(the object's speed)²</em></u>
As you can see from the formula, if the object has no speed, then its kinetic energy is zero. That's why kinetic energy is usually called the "energy of motion", and if an object HAS kinetic energy, then that tells you right away that it must be moving.
Answer:
stress = 16.9 MPa
Explanation:
The stress in the cable can be calculated as:

Where F is the force and A is the area. So, the area can be calculated as:

Where r is the radius. Since the radius is half the diameter, the radius is 4.0 mm and the area will be equal to:

Then, replacing the force F by 850 N, and A by 50.24 mm², we get that the stress is equal to:

Therefore, the answer is 16.9 MPa
25g of mass will require 25g of opposite force on the ball from the road and opposition is moving upward to work on the ball