Answer:
The terminal velocity is equal to C.
Explanation:
Making the assumption that k and t are positive, we then have that -kt is negative. The value of e^(-kt) will be equal to 1/(e^(kt))
If t increases, e^(kt) will increase exponentially and its reciprocal 1/(e^(kt)) will approach zero.
So, we have:
v(t) = C*(1-0)
v(t) = C*(1)
v(t) = C
Therefore, C is the terminal velocity.
When the balloon is kept in the sun, due to Sun's heat, the kinetic energy of gaseous particles inside the balloons also gets increased and the balloon expands. This will increase the pressure on the walls of the balloon. It continues to expand and comes to a stage when the baloon bursts.
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Answer:
Explanation:
The reaction between hypothetical elements X and Y to produce hypothetical compound XY₂ is represented with the chemical equation:
That equation means that one atom (or one mole of atoms) of element X reacts with 2 atoms (or two moles of atoms) of element Y to produce one molecule (one mole of molecules) of compound XY₂.
Elements X and Y are the reactants, and compound XY₂ is the product.
Hence, the mole ratio is:
- 1 mol X : 2 mol Y : 1 mol XY₂
Since, 10.0 mol of Y completely react you can set the corresponding proportions with X and XY₂ to find how many moles of them will be in the reaction:
<u>1. Moles of X</u>:
- Theoretical ratio: 1 mol of X / 2 mol of Y
- Ratio with 10.0 mol of Y: U / 10.0 mol of Y
- Proportion: equal the two ratios: 1 mol X / 2 mol Y = U / 10.0 mol Y
- Solve for U: U = 10.0 mol Y × 1 mol X / 2 mol Y = 5.0 mol X
- Result: 5.0 moles of X are in the reaction.
<u>2. Total moles of X and Y in the reaction:</u>
- The total number of moles is the sum of the moles of the two reactants: 10.0 moles of Y + 5.0 moles of X = 15.0 moles. Hence 15.0 mol of X and Y are in the reaction: option C).
Answer: The elevator must be accelerating.
Explanation:
As the tension force is opposing to the the force of gravity on the load which is hung vertically, and the tension force can adopt any value in order to comply with Newton's 2nd law, if the tension force is less than the force due to gravity, this means that all system is not in equilibrium, so it must be accelerating.
If we assume that the downward is the positive direction, we can write:
mg - T = ma
If T = 0.9 mg, ⇒ mg (1-0.9) =0.1 mg = m a ⇒a = 0.1 g , in downward direction.