An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the righ
t. The displacement of the object is
2 answers:
Answer: Displacement of the object is 5 units to the right.
Explanation: Displacement is defined as the shortest distance between the initial position and final position. It is a vector quantity because it is described by the magnitude and direction both.
The initial position O of object is 0 units.
When it moves 3 units to the right, it is at +3 position on the number line.
When it moves 4 units to the left, It is at -1 position on the number line.
Then, when it moves 6 units to the right, it is at +5 position on the number line. This is the Final Position A.
Displacement is the distance between initial point O and Final point A = 5 units to the right.
Number line is shown in the image attached.
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<u>Answer:</u> The volume of stock solution needed is 90 mL
<u>Explanation:</u>
To calculate the molarity of the diluted solution, we use the equation:
where,
are the molarity and volume of the stock sulfuric acid solution
are the molarity and volume of diluted sulfuric acid solution
We are given:
Putting values in above equation, we get:
Hence, the volume of stock solution needed is 90 mL
Answer : The change in internal energy is, 900 Joules.
Solution : Given,
Heat given to the system = +1400 J
Work done by the system = -500 J
Change in internal energy is equal to the sum of heat energy and work done.
Formula used :
where,
= change in internal energy
q = heat energy
w = work done
As per question, heat is added to the system that means, q is positive and work done by the system that means, w is negative.
Now put all the given values in the above formula, we get
Therefore, the change in internal energy is 900 J.
The change in internal energy depends on the heat energy and work done. As we will change in the heat energy and work done, then changes will occur in the internal energy. Hence, the energy is conserved.