Answer:
Explanation:
We have here a simple harmonic motion, so the equation of the position in this motion is:
(1)
A: Amplitude
ω: angular frequency
φ: phase constant
If we take the derivative of x with respect to t from (1), we can find the velocity equation of this motion:
(2)
Let's evaluate (1) and (2) in t=0.
(3)
(4)
Dividing 4 by 3 we have:
Now, using (3) we can find the amplitude.
I hope it helps!
Answer:
W= 1812.6 J
Explanation:
Work (W) is defined as the scalar product of force F by the distance (d) the body travels due to this force.
W= F*d* cosα Formula ( 1)
Where:
F is the force in Newtons (N)
d is the displacemente in meters (m)
α : Angle formed between force and displacement
Data
F = 10 N
d = 200 m
α = 25°
Work done by the pulling force while the passenger walks 200 m
We replace data in the formula (1)
W= F*d* cosα
W= (10 N)*(200 m)* cos25°
W= 1812.6 (N*m)
W= 1812.6 J
Answer:
Explanation:
Given that,
Kinetic energy of an automobile is 2300J
K.E = 2300J
The formula for kinetic energy is
K.E = ½mv²
So, if the speed of the automobile is increased by 6, what is the kinetic energy
Now v' = 6v.
The mass of the automobile is constant.
Therefore, the kinetic energy is
K.E' = ½mv'²
Where v' = 6v
K.E' = ½m(6v)²
K.E' = ½m × 36v²
K.E' = 36 × ½mv²
Where, from above ½mv² = 2300J
Then,
K.E' = 36 × 2300 = 82,800J
The kinetic energy of the automobile when it increase it's speed is 82,800J
Answer:
The product of (wavelength) x (frequency) is always the same number ... the wave's speed.
So if the wavelength is somehow reduced to 1/4 its original length, the frequency is immediately multiplied by 4 . That's the only way their product can remain the same.
Explanation:
