Explanation:
The force of the roller-coaster track on the cart at the bottom is given by :
, m is mass of roller coaster
Case 1.
R = 60 m v = 16 m/s

Case 2.
R = 15 m v = 8 m/s

Case 3.
R = 30 m v = 4 m/s

Case 4.
R = 45 m v = 4 m/s

Case 5.
R = 30 m v = 16 m/s

Case 6.
R = 15 m v =12 m/s

Ranking from largest to smallest is given by :
F>E>A=B>C>D
Answer:
Yes, the heat that flows into the system is used to change the internal energy of the gas and becomes work done by the piston.
Explanation:
First law of thermodynamics known as Law of Conservation of Energy, states that energy can neither be created nor destroyed; energy can only be transferred or changed from one form to another.
The first law of thermodynamics states that the change in internal energy of a system equals the net heat transfer into the system minus the net work done by the system. In equation form, the first law of thermodynamics.
This is the first law of thermodynamics
ΔE= Q− W
ΔE= change internal energy of the system.
Q= heat transfer into the system
And
W= work done by the system.
Rewriting the equation
ΔE= Q− W
Q=ΔE +W
Show that the heat flowing l into the system is transferred to the internal energy of the system and the work done by the piston
So the third option is correct
Answer:
σ = 1.09 mm
Explanation:
<u>Step 1:</u> Identify the given parameters
rod diameter = 20 mm
stiffness constant (k) = 55 MN/m = 55X10⁶N/m
applied force (f) = 60 KN = 60 X 10³N
young modulus (E) = 200 Gpa = 200 X 10⁹pa
<u>Step 2:</u> calculate length of the rod, L



d = 20-mm = 0.02 m

A = 0.0003 m²


L = 1.14 m
<u>Step 3:</u> calculate the displacement of the rod, σ


σ = 0.00109 m
σ = 1.09 mm
Therefore, the displacement at the end of A is 1.09 mm
Explanation:
The centripetal force acting on a particle is given by :

Since,


Case 1.
If 
Since, 
So, 

So, the force becomes,

F is independent of r
Case 2.
If 


So, 
So, the force is inversely proportional to the square of radius.
Case 3.
If T is independent of r, the force will be directly proportional to the radius of orbit.
Hence, this is the required solution.
Answer:
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Explanation: