An ice skater weighs 500 [N]. He is coasting to the right at a constant velocity of 2 [m/s]. Assume
1 answer:
Answer:
The net force on the skater is zero. ()
Explanation:
According to Newton's First Law, an object is at equilibrium when either it is at rest or moves at constant velocity, which means a net force of zero. Based on the given statement, there are no external forces acting on skate and, therefore, the net force on the skater is zero. ()
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The displacement is 2 m south
Explanation:
Distance and displacement are two different quantities:
- Distance is the total length of the path covered by an object during its motion, regardless of the direction. It is a scalar quantity
- Displacement is a vector connecting the initial position to the final position of motion of an object. The magnitude of the displacement is the distance in a straight line between the two points
For the car in this problem, the motion is:
10 m south
8 m north
Taking north as positive direction, we can describe the two parts of the motion as
m
Therefore, the final position of the car with respect to the original position is
which means 2 m south: so, the displacement of the car is 2 m south.
Learn more about distance and displacement:
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Question:
If you are 3.00 m from speaker A directly to your right and 3.50 m from speaker B directly to your left. What is the shortest distance d you need to walk forward to be at a point where you cannot hear the speakers?
Answer:
The shortest distance d you need to walk forward to be at a point where you cannot hear the speakers is 5.625 m
Explanation:
Shortest distance is given by
For constructive interference of wave, we have
= 2nλ/2
For destructive interference of wave, we have
= (2n+1)λ/2
That is the difference in the number of wavelength between constructive and destructive interference is λ/2
We note that our positioning is 3.0 m from the first speaker and 3.5 m from the second, Which is of the form 2n and 2n + 1
Therefore when we walk forward away from the two speakers, we cannot hear the speakers at
Δr = λ/2 = r - r
Which is the distance between the points where we have constructive and destructive interference or where there is destructive interference between the waves
Where:
r = Distance from speaker A and
r = Distance from speaker B
λ/2 = (344 m/s /688 Hz)/2
= 1/4
For
λ/2 = r - r
we have
√(3.5² +d²) - √(3²+d²) = 1/4
∴ d = 5.625 m
