Answer:
x = 0.40 m
Explanation:
- When the displacement is maximum, the particle is momentarily at rest, which means that at this point (assuming no friction present) all the mechanical energy is elastic potential, which can be written as follows:
- Since in absence of friction, total mechanical energy must keep constant, this means that at any time, the sum of the kinetic and potential energy, must be equal to (1), as follows:
- If KEf = U/2f, replacing in (2), we get:
- At any point, the elastic potential energy is given by the following expression:
where k= spring constant (N/m) and x is the displacement from the
equilibrium position.
- Replacing (4) in (3), simplifying and rearranging, we get:
- Finally, solving for x, we get:
Answer:
The number is
Explanation:
From the question we are told that
The wavelength is
The length of the glass plates is
The distance between the plates (radius of wire ) =
Generally the condition for constructive interference in a film is mathematically represented as
Where t is the thickness of the separation between the glass i.e
t = 0 at the edge where the glasses are touching each other and
t = 2d at the edge where the glasses are separated by the wire
m is the order of the fringe it starts from 0, 1 , 2 ...
So
=>
=>
given that we start counting m from zero
it means that the number of bright fringes that would appear is
=>
=>
Molecules at higher temperatures have more energy, thus they can vibrate faster. Since the molecules vibrate faster, sound waves can travel more quickly through a medium. Sound travels faster in warmer temperatures than cooler and more slowly in cooler temperatures.
Answer:
c. 0.71 [s]
Explanation:
To solve this problem we must use the following equation of kinematics.
where:
Vf = final velocity = 0 (because when the ball reaches the top, there is no movement)
Vo = initial velocity = 7 [m/s]
g = gravity acceleration = 9.81 [m/s²]
t = time [s]
Note: The negative sign of the equation means that the movement is againts the direction of the gravity acceleration.
You got the formulas on the sheet on the top :) So just use those, exchanging v (as in velocity, expressed in m/s) and the d (in meters) and t (in seconds). Hope you will manage it.