Select three standard units of the metric system.
1 answer:
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Answer:
The magnitude of the resultant displacement is 21 mi and its direction is 16.7° north of west
Explanation:
Hi there!
Please see the figure for a better understanding of the problem. The total displacement vector will be the sum of both displacements:
The vector for the first displacement is:
First displacement = (20 mi, 0)
The second displacement:
Second displacement = (0, 6.0 mi)
The resultant displacement will be:
R = (20 mi, 0) + (0, 6.0 mi) = (20 mi + 0, 0 + 6.0 mi) = (20 mi, 6.0 mi)
The magnitude of this vector will be:
The magnitude of the vector displacement is 21 mi.
To find the direction of the vector R, we have to apply trigonometry:
In a right triangle the following trigonometric rule applies:
cos θ = adjacent side to the angle/ hypotenuse
In this case:
cos θ = 20 mi / magnitude of R
θ = 16.7°
The direction of the vector is 16.7° north of west.
Answer:
ΔV = 0.98 L
Explanation:
First, we will calculate the increased volume using Charles' Law:
where,
V₁ =initial volume = 18.9 L
V₂ = final volume = ?
T₁ = initial temperature = 15°C + 273 = 288 k
T₂ = final temperature = 30°C + 273 = 303 k
Therefore,
V₂ = 19.88 L
Now, we calculate the change in volume:
ΔV = V₂ - V₁ = 19.88L - 18.9 L
<u>ΔV = 0.98 L</u>
This is the volume of gasoline that will spill out.