We will start from the definition of power in terms of the Force. Power could be described as the change of energy in an instant of time. Considering that Energy is the product between the Force and the distance traveled we would arrive at the expression
Here,
F = Force
h = Height
t = Time
As there is no external force, apart from the force of gravity, and this, is constant during the course of the object we will also have to be constant power and therefore this during its course will be the same. The correct answer is (1)
Answer:
E/4
Explanation:
The formula for electric field of a very large (essentially infinitely large) plane of charge is given by:
E = σ/(2ε₀)
Where;
E is the electric field
σ is the surface charge density
ε₀ is the electric constant.
Formula to calculate σ is;
σ = Q/A
Where;
Q is the total charge of the sheet
A is the sheet's area.
We are told the elastic sheet is a square with a side length as d, thus ;
A = d²
So;
σ = Q/d²
Putting Q/d² for σ in the electric field equation to obtain;
E = Q/(2ε₀d²)
Now, we can see that E is inversely proportional to the square of d i.e.
E ∝ 1/d²
The electric field at P has some magnitude E. We now double the side length of the sheet to 2L while keeping the same amount of charge Q distributed over the sheet.
From the relationship of E with d, the magnitude of electric field at P will now have a quarter of its original magnitude which is;
E_new = E/4
Answer:
The minimum speed of the box bottom of the incline so that it will reach the skier is 8.19 m/s.
Explanation:
It is given that,
Mass of the box, m = 2.2 kg
The box is inclined at an angle of 30 degrees
Vertical distance, d = 3.1 m
The coefficient of friction, 
Using the work energy theorem, the loss of kinetic energy is equal to the sum of gain in potential energy and the work done against friction.
W is the work done by the friction.
v = 8.19 m/s
So, the speed of the box is 8.19 m/s. Hence, this is the required solution.
In this 2-dimensional graph, the x-component of each vector is the horizontal distance from the origin, while the y-component of each vector is the vertical distance from the origin. It can be seen that the c vector is 1 vertical unit away from the origin, which means that it has a y-component of 1.
Answer:
a) Calcule a frequência em RPM
= 0.6 RPM
b) a velocidade escalar do carro em m/s.
= 20m/s
Explanation:
a) Calcule a frequência em RPM
A fórmula para calcular a frequência é: 1/T
onde T= Tempo (seconds)
T = 100s
A frequência = 1/100s
A frequência = 0.01Hz
em RPM
A fórmula para calcular a frequência em RPM =
1 Hz = 60RPM
0.01Hz =
A frequência em RPM = 0.01Hz × 60
= 0.6 RPM
b) a velocidade escalar do carro em m/s.
A fórmula para calcular a velocidade escalar = diâmetro ou distância (m) ÷ tempo (s)
Diâmetro ou Distância = 2.0km
Converter 2.0km para m
1 km = 1000m
2km =
2 km × 1000m
= 2000m
A velocidade escalar = 2000m ÷ 100s
A velocidade escalar = 20m/s
Answer:
a) Frequency in RPM
= 0.6 RPM
b) Scalar Velocity
= 20m/s
Explanation:
a) Frequently in RPM
Formula : 1/T
Where T= Time (seconds)
T = 100s
= 1/100s
= 0.01Hz
Frequency in RPM =
1 Hz = 60RPM
0.01Hz = 0.01Hz × 60
= 0.6 RPM
b) Scalar velocity
The formula = Diameter or Distance ÷ Time
Diameter or Distance = 2.0km
Convert 2.0km to m
1 km = 1000m
2km =
2 km × 1000m
= 2000m
Scalar Velocity = 2000m ÷ 100s
Scalar Velocity = 20m/s
