For velocity vs Time graphs, the displacement of the object from 2 seconds to 6 seconds is 30 m.
<h3>What is displacement?</h3>
The displacement is the shortest distance travelled by the particle. It is the vector quantity which re[presents both the magnitude and direction.
In velocity time graphs, the displacement is the area under the curve of the graph on the x axis.
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A line starts at (0, 2) and ends at (6, 8) in v-t graph
Displacement is equal to the area of a triangle and a rectangle formed under the line.
Area = 1/2 base x height + length x breadth
Area = 1/2 x 6x 6 + 6x2
Area = 18 +12
Area = 30 m
Thus, the displacement is 30 m.
Learn more about displacement.
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The correct answer is alpha
Refer to the diagram shown below.
μ = the coefficient of dynamic friction between the crate and the ramp.
1. The applied force of F acts over a distance, d.
The work done is F*d.
2. The component of the weight of the crate acting down the ramp is
mg sin(30) = 0.5mg.
The work done by this force is 0.5mgd.
3. The normal force is N = mgcos(30) = 0.866mg.
This force is perpendicular to the ramp, therefore the work done is zero.
4. The frictional force is μN = μmgcos(30) = 0.866μmg.
The work done by the frictional force is 0.866μmgd.
5. The total force acting on the crate up the ramp is
F - mgsin(30) - μmgcos(30) = F - mg(0.5 - 0.866μ)
6. The work done on the crate by the total force is
d*(F - 0.5mg - 0.866μmg)
V=IR, therefore when resistance is constant the voltage and current are directly proportional