Answer:
Velocity, v = 0.239 m/s
Explanation:
Given that,
The distance between two consecutive nodes of a standing wave is 20.9 cm = 0.209 m
The hand generating the pulses moves up and down through a complete cycle 2.57 times every 4.47 s.
For a standing wave, the distance between two consecutive nodes is equal to half of the wavelength.

Frequency is number of cycles per unit time.

Now we can find the velocity of the wave.
Velocity = frequency × wavelength
v = 0.574 × 0.418
v = 0.239 m/s
So, the velocity of the wave is 0.239 m/s.
What condition alone is necessary so that the final kinetic energy of the system is zero after the collision?
<u>Option(a). </u>The objects must have initial momenta with the same magnitude but opposite directions.
What is a momentum?
- In Newtonian mechanics, linear momentum, translational momentum, or simply momentum is the product of the mass and velocity of an object.
- It is a vector quantity, possessing a magnitude and a direction.
- If m is an object's mass and v is its velocity (also a vector quantity), then the object's momentum p is :p=mv.
- In the International System of Units (SI), the unit of measurement of momentum is the kilogram metre per second (kg⋅m/s), which is equivalent to the newton-second.
To know more about momentum, refer:
brainly.com/question/1042017
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To solve this problem it is necessary to apply the concepts related to the Gravitational Force, for this purpose it is understood that the gravitational force is described as

Where,
G = Gravitational Universal Force
Mass of each object
To solve this problem it is necessary to divide the gravitational force (x, y) into the required components and then use the tangent to find the angle generated between both components.
Our values are given as,

Applying the previous equation at X-Axis,

Applying the previous equation at Y-Axis,

Therefore the angle can be calculated as,

Then in the measure contrary to the hands of the clock the Force in the particle 3 is in between the positive direction of the X and the negative direction of the Y at 71 ° from the positive x-axis.