If Maggie is walking at 1.4 m/s and accelerates at 0.20 m/s^2. What is her final velocity at the end of 100.0m
1 answer:
Answer:
6.478m/s
Explanation:
There are some assumptions to be made. To answer this problem, I assume that Maggie is walking in a straight line and that she initially starts off with a velocity of 1.4m/s.
Maggie initially walks at a speed of 1.4m/s. We are also told that the acceleration is 0.2m/s^2 and that she walked a total of 100m. Therefore our parameters are:
Looking up kinematic equations that contains these parameters are
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The text does not specify whether the resistance R of the wire must be kept the same or not: here I assume R must be kept the same.
The relationship between the resistance and the resistivity of a wire is
where
is the resistivity
A is the cross-sectional area
R is the resistance
L is the wire length
the cross-sectional area is given by
where r is the radius of the wire. Substituting in the previous equation ,we find
For the new wire, the length L is kept the same (L'=L) while the radius is doubled (r'=2r), so the new resistivity is
Therefore, the new resistivity must be 4 times the original one.
The relationship between the resistance and the resistivity of a wire is
where
A is the cross-sectional area
R is the resistance
L is the wire length
the cross-sectional area is given by
where r is the radius of the wire. Substituting in the previous equation ,we find
For the new wire, the length L is kept the same (L'=L) while the radius is doubled (r'=2r), so the new resistivity is
Therefore, the new resistivity must be 4 times the original one.