In the tetherball game, struck ball whirls around a pole. The vertical component of the tension balances the weight and the horizontal component of tension provides the centripetal force that points toward the center of the circle.
There are two forces acting on a tether ball as it is rotating in uniform circular motion. The force of tension acts along the rope while the weight acts in downward.
The ball will move in a circular motion due to centripetal force and the tether which keeps the ball linked to the pole pulling to the center. For centripetal force, the tether can be an actual object, like a chain, or it may be a force, like gravity that acts like a tether.
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The options are;
a. V2 equals 2V1.
b. V2 equals (V1)/2.
c. V2 equals V1.
d. V2 equals (V1)/4.
e. V2 equals 4V1.
Answer:
Option A: V2 equals 2V1
Explanation:
Since the flow is steady, then we can say;
mass flow rate at input = mass flow rate at output.
Formula for mass flow rate is;
m' = ρVA
Thus;
At input;
m'1 = ρ1•V1•A1
At output;
m'2 = ρ2•V2•A2
So, m'1 = m'2
Now, we are told that the density of the fluid decreases to half its initial value.
Thus; ρ2 = (ρ1)/2
Since m'1 = m'2, then;
ρ1•V1•A1 = (ρ1)/2•V2•A2
Now, the pipe is uniform and thus the cross section doesn't change. Thus;
A1 = A2
We now have;
ρ1•V1•A1 = (ρ1)/2•V2•A1
A1 and ρ1 will cancel out to give;
V1 = (V2)/2
Thus, V2 = 2V1
Explanation:
Increase the temperature in Endothermic reactions (Reactions that absorb energy, or become cold) Decrease the temperature in Exothermic reactions (Reactions that release energy, or become hot) Add a catalyst (A substance that reduces activation energy, speeding up the reaction) Increase the concentration of reactants.
source: https://socratic.org/questions/how-can-a-chemical-change-be-speeded-up