Answer:
<em>1) 1.56 m/s</em>
<em>2) 1.11 m/s</em>
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Explanation:
The bus travels 6 blocks east and 8 blocks west
Each block is 100 m long
time taken to travel through this distance = 15 min
average speed of the bus = ?
the total blocks traveled = 6 + 8 = 14 blocks
total distance traveled = 14 x 100 m = 1400 m
time taken = 15 min = 15 x 60 sec = 900 sec
average speed of the bus = distance traveled/time taken
==> 1400/900 = <em>1.56 m/s</em>
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2) velocity = displacement/time taken
displacement is the shortest distance between the starting position and the final position of the bus.
The displacement of this bus will be the hypotenuse of the triangle formed by the motion of the bus
the distance traveled east = 6 x 100 = 600 m
the distance traveled north = 8 x 100 = 800 m
displacement = = 1000 m
The velocity of the bus = 1000/900 = <em>1.11 m/s</em>
Answer:
2 x 10⁻³ volts
Explanation:
B = magnetic of magnetic field parallel to the axis of loop = 1 T
= rate of change of area of the loop = 20 cm²/s = 20 x 10⁻⁴ m²
θ = Angle of the magnetic field with the area vector = 0
E = emf induced in the loop
Induced emf is given as
E = B
E = (1) (20 x 10⁻⁴ )
E = 2 x 10⁻³ volts
E = 2 mV
m = mass = 5 kg
= initial velocity = 100 m/s
= final velocity = ?
I = impulse = 30 Ns
Using the impulse-change in momentum equation
I = m( -
)
30 = 5 ( - 100)
= 106 m/s
Answer:
See the explanation below
Explanation:
To better understand this problem, a cylinder sketch is attached before and after the cut, we see that after the cut, the shape of this resembles that of a right triangle.
We can find, the centroid in the xy plane, knowing that the centroid for a triangle is located a third of its base.
In the z axis there is no displacement of the centroid.
