Answer:
The number A(t) of grams of salt in the tank at time t is 
Explanation:
Knowing
First we have to find the Rin and Rout
Rin = (concentration of the salt inflow) * (input rate of brine)
Rin = 1 g/L * 3 L/min = 3 g/L
Rout = (concentration of the salt outflow) * (output rate of brine)
Rout = (
) * (3 L/min) = 
Substituting this results
= 3 - 
--> 
Thus, integration factors is
A(t) = 4 
Applying the initial conditions
A(0) = 40
c = 150 - 40 = 110
Now, substitute this result in the solution to get
Explanation:
Centripetal Force is the force that keeps the object's rotation in a circular path and it's always directed towards the center of rotation. Mathematically, it is given as,
From this equation it can be concluded that the centripetal force is proportional to the product of mass and the square of velocity. It is inversely proportional to the object's distance from the center.
Now in the above mentioned case, when the cylinder begins spinning very rapidly and it's speed becomes double. Then by applying the above equation we conclude that " the force will be increased four times if the speed is doubled as it is proportional to square of speed."
Answer:
Yes, the water level in the glass will decrease as the icecubes melt, this is a due to water displacement.
Answer:
Force = 19.62 Newton
Explanation:
Given the following data;
Mass = 2kg
Acceleration = 9.81 m/s²
To find the force;
Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.
Mathematically, it is given by the formula;
Force = mass * acceleration
Substituting into the formula, we have;
Force = 2 * 9.81
Force = 19.62 Newton
