Answer:
- <em><u>B) Bill's wagon is moving 4 times faster than Tom's. </u></em>
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Explanation:
The motion of the wagons is determined by the net force that acts upon them, according to Newton's second law of motion:
- Force = mass × acceleration ⇒ acceleration = Force / mass
From your data, you can fill this table to compare the accelerations:
Bill's wagon Tom's wagon
mass (lb) 10 20
force 2F F
acceleration 2F/10 F/20
Find the ratio between both accelarations:
- Bill's wagon acceleration / Tom's wagon acceleration
- (2F/10) / (F/20) = (2 × 20 / 10 ) = 4
Meaning that the acceleration of Bill's wagon is 4 times the acceleration of Tom's wagon.
Assuming, that both wagons start from rest, you can obtain the speeds from the kinematic equation for uniformly accelerated motion:
- Speed = acceleration × time, V = a × t.
Call the acceleration of Tom's wagon X, then the acceleration of Bill's wagon will be 4X.
So, depending on the time, using V = a × t, the speeds will vary:
t (s) 1 2 3 4
Speed Tom's wagon X 2X 3X 4X
Speed Bill's wagon 4X 8X 12X 16X
Concluding that Bill's wagon is moving 4 times faster than Tom's (option B).
Im working on science too!! I would help you but the attachment isn't pulling up..
Answer:
B.
Explanation:
the SI unit for density is the kilogram per Cubic meter
Answer:
There are 0.0186 moles of formula units in 6.35 grams of aluminum sulfate
.
Explanation:
What's the empirical formula of aluminum sulfate?
Sulfate is an anion with a charge of -2 per ion. When sulfate ions are bonded to metals, the compound is likely ionic.
Aluminum is a group III metal. Its ions tend to carry a charge of +3 per ion.
The empirical formula of an ionic compound shall balance the charge on ions with as few ions as possible.
The least common multiple of 2 and 3 is 6. That is:
- Three sulfate ions
will give a charge of -6. - Two aluminum ions
will give a charge of +6.
Pairing three
ions with two
will balance the charge. Hence the empirical formula:
.
What's the mass of one mole of aluminum sulfate? In other words, what's the formula mass of
?
Refer to a modern periodic table for relative atomic mass data:
- Al: 26.982;
- S: 32.06;
- O: 15.999.
There are
- two Al,
- three S, and
- twelve O
in one formula unit of
.
Hence the formula mass of
:
.
How many moles of formula units in 6.35 grams of
?
.
Answer:
530.835 g
Explanation:
First we convert 244 g of benzoic acid (C₇H₆O₂) to moles, using its molar mass:
- 244 g benzoic acid ÷ 122.12 g/mol = 2.00 moles benzoic acid
Theoretically,<em> one mol of ethyl benzene would produce one mol of benzoic acid</em>. But the experimental yield tells us that one mol of ethyl benzene will produce only 0.4 moles of benzoic acid.
With the above information in mind we convert 2.00 moles of benzoic acid into moles of ethyl benzene:
- 2.00 moles benzoic acid *
= 5.00 moles ethyl benzene
Finally we <u>convert moles of ethyl benzene </u>(C₈H₁₀)<u> into grams</u>, using its <em>molar mass</em>:
- 5.00 moles ethyl benzene * 106.167 g/mol = 530.835 g ethyl benzene