Work = (force) x (distance)
Work = (21 Newtons) x (9 meters) = 189 Joules
Power = (work done) / (time to do the work)
Power = (189 Joules) / (3 sec)
Power = (63 watts/sec)
Power = 63 watts (D)
The final speed of the car at the given conditions is 30.1 m/s.
The given parameters:
- <em>Mass of the car, m = 1700 kg</em>
- <em>Velocity of the car, v = 21 m/s</em>
- <em>Time of motion, t = 10 s</em>
- <em>Additional energy provided by the engine, E₁ = 22,000 J</em>
- <em>Energy used in overcoming friction, E₂ = 3,666.67 J</em>
The change in the energy applied to the car is calculated as;

The final speed of the car is calculated as follows;

Thus, the final speed of the car at the given conditions is 30.1 m/s.
Learn more about change in kinetic energy here: brainly.com/question/6480366
Answer:
Explanation:
A particular solution for the 1D wave equation has the form

where A its the amplitude, k the wavenumber, ω the angular frequency and φ the phase angle.
Now, for any given position
, we can use:

so, the equation its:
.
This is the equation for a simple harmonic oscillation!
So, for any given point, we can use a simple harmonic oscillation as visual model. Now, when we move a
distance from the original position, we got:

and

now, this its



So, there its a phase angle difference of
. We can model this simply by starting the simple harmonic oscillation with a different phase angle.
Considering the equivalence between mass and energy given by the expression of Einstein's theory of relativity, the correct answer is the last option: the energy equivalent of an object with a mass of 1.05 kg is 9.45×10¹⁶ J.
The equivalence between mass and energy is given by the expression of Einstein's theory of relativity, where the energy of a body at rest (E) is equal to its mass (m) multiplied by the speed of light (c) squared:
E=m×c²
This indicates that an increase or decrease in energy in a system correspondingly increases or decreases its mass, and an increase or decrease in mass corresponds to an increase or decrease in energy.
In other words, a change in the amount of energy E, of an object is directly proportional to a change in its mass m.
In this case, you know:
Replacing:
E= 1.05 kg× (3×10⁸ m/s)²
Solving:
<u><em>E= 9.45×10¹⁶ J</em></u>
Finally, the correct answer is the last option: the energy equivalent of an object with a mass of 1.05 kg is 9.45×10¹⁶ J.
Learn more:
Answer:
a) 27.2 rad/min
b) 260 rev/h
Explanation:
The passenger is traveling at 9 mph, this is the tangential speed.
The relation between tangential speed and angular speed is:
v = r * w
Where
v: tangential speed
r: radius
w: angular speed
Also, the radius is
r = d/2
d is the diameter
Therefore:
v = (d * w)/2
Rearranging:
w = 2*v/d
w = (2*9 mile/h)/(58 feet)
We need to convert the feet to miles
w = (2*9 mile/h)/(0.011 miles) = 1636 rad/h
We divide this by 60 to get it in radians per minute
w = 1636/60 = 27.2 rad/min
Now the angular speed is in radians, to get revolutions we have to divide by 2π
n = v/(π*d)
n = (9 mile/h)/(π*0.011 mile) = 260 rev/h