Answer:
We know that, the kinetic energy
ke= \frac{1 }{2} m{v}^{2}
and we also know that the acceleration causes the speed's value to be doubled
Hence, v becomes 2v
When 2v is squared, it becomes 4v^2. After substituting this value in the equation above and comparing it,
We can conclude that the Kinetic Energy has increased
by a factor of 4
Answer:
a. 3.6 units
b. 1.4 units
c. 3.6 units
d. 6.1 units
Explanation:
The length of a vector is given by the following formula:
Length = √(x² + y²)
where,
x = x-component of vector
y = y-component of vector
a.
Here,
x = 2
y = 3
Therefore,
Length = √(2² + 3²)
Length = √13
<u>Length = 3.6 units</u>
<u />
b.
Here,
x = 1
y = 1
Therefore,
Length = √(1² + 1²)
Length = √2
<u>Length = 1.4 units</u>
<u />
c.
Here,
x = 2
y = -3
Therefore,
Length = √(2² + (-3)²)
Length = √13
<u>Length = 3.6 units</u>
<u />
d.
Here,
x = 1
y = -6
Therefore,
Length = √(1² + (-6)²)
Length = √37
<u>Length = 6.1 units</u>
We will apply the equation:
2as = v² - u²
v = √(2as + u²)
v = √(2 x 4 x 400 + 13²)
v = 58 m/s
hope this helps
Answer:
0.46 J/gC
Explanation:
The specific heat capacity of a material is given by:
where
Q is the amount of heat absorbed
m is the mass
is the variation of temperature
For the piece of iron in the problem:
Substituting into the equation,
Answer:
α = 2Πft + 2Πx/¶
Explanation:
A transverse wave is one of the type of electromagnetic waves which occurs when the vibration of the medium is perpendicular to the direction of the wave. Mathematically, the wave equation according to the question
y1 = Asin(α).... (1)
since its characteristic wave gives a sine wave.
y1 is the vertical displacement
A is the amplitude.
The expression for α of the transverse wave on a string traveling along the positive x-direction in terms of its wavenumber k, the position x, its angular frequency ω, and the time t can be given as;
α = ωt+theta ... (2)
theta is the phase angle. This phase angle is a function of the position x of the wave and the wave number.
theta = kx
where k = 2Πx/¶... (3)
¶ is the wavelength.
ω which is the angular frequency is a function of the frequency (f) of the wave and it is given as;
ω = 2Πf... (4)
Substituting equation 3 and 5 into 2;
α = 2Πft + 2Πx/¶
Therefore,
y1 = Asin(2Πft + 2Πx/¶)
