Answer:
b
Explanation:
Answer:
Explanation:
A charge within an electric field E experiences a force proportional to the field whose module is F = qE, whose direction is the same, if the charge is negative, it experiences a force in the opposite direction to the field and if the charge is positive, experience a force in the same direction of the field.
In our case we are interested in the magnitude of the force, therefore the sign of the charge has no relevance
Answer:
The kinetic coefficient of friction of the crate is 0.235.
Explanation:
As a first step, we need to construct a free body diagram for the crate, which is included below as attachment. Let supposed that forces exerted on the crate by both workers are in the positive direction. According to the Newton's First Law, a body is unable to change its state of motion when it is at rest or moves uniformly (at constant velocity). In consequence, magnitud of friction force must be equal to the sum of the two external forces. The equations of equilibrium of the crate are:
(Ec. 1)
(Ec. 2)
Where:
- Pushing force, measured in newtons.
- Tension, measured in newtons.
- Coefficient of kinetic friction, dimensionless.
- Normal force, measured in newtons.
- Weight of the crate, measured in newtons.
The system of equations is now reduced by algebraic means:
And we finally clear the coefficient of kinetic friction and apply the definition of weight:
If we know that , , and , then:
The kinetic coefficient of friction of the crate is 0.235.
The calculation of the coefficient of kinetic friction involves setting the total force exerted by the workers equal to the force of friction, as the crate moves at a constant speed. The coefficient of kinetic friction is then calculated by dividing the force of friction by the normal force, which is the weight of the crate. The coefficient of kinetic friction for the crate on the floor is approximately 0.235.
To calculate the coefficient of kinetic friction, we first must understand that the crate moves at a constant velocity, indicating that the net force acting on it is zero. Thus, the total force exerted by the workers (400 N + 290 N = 690 N) is equal to the force of friction acting in the opposite direction.
Since the frictional force (F) equals the normal force (N) times the coefficient of kinetic friction (μk), we can write the equation as F = μkN. Here, the normal force is the weight of the crate, determined by multiplying the mass (m) of the crate by gravity (g), i.e., N = mg = 300 kg * 9.8 m/s² = 2940 N.
Next, we rearrange the equation to solve for the coefficient of kinetic friction: μk = F / N. Substituting the known values (F=690 N, N=2940 N), we find: μk = 690 N / 2940 N = 0.2347. Thus, the coefficient of kinetic friction for the crate on the floor is approximately 0.235.
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Answer:
a.
b.
Explanation:
From the data given, the radius is 5.0m, and the time taken to complete one circle is 4.0secs
Since the motion is in a circular part, we can conclude that the total distance covered in this time is given as circumference of the circle.
which is expressed as
To determine the speed, we use the equation
The acceleration as required is expressed as
if the speed increase and it takes 3secs to complete one circle, the speed is
and the acceleration becomes
The acceleration of the passengers in the vertical circle carnival ride is 19.6 m/s^2. When the time taken to complete one circle is 3.0 s, the new acceleration is 26.13 m/s^2.
The acceleration of the passengers can be determined using the centripetal acceleration formula, which is given by a = v^2 / r.
In this case, the velocity v can be found by dividing the circumference of the circle (2πr) by the time taken to complete one circle (T). The radius r is given as 5.0 m. Plugging in the values, we have:
a = (v^2) / r = ((2πr / T)^2) / r = (4π^2r) / T^2 = (4π^2 * 5.0) / 16.0 = 19.6 m/s^2
To find the new acceleration when the time taken to complete one circle is 3.0 s, we can use the proportional reasoning to determine the relationship between the two accelerations. Since the time is inversely proportional to the acceleration, when T is 3.0 s, the new acceleration arad can be found using the equation:
arad / 19.6 = 4.0 / 3.0
Simplifying the equation, arad = (19.6 * 4.0) / 3.0 = 26.13 m/s^2
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Answer:
True
Explanation:
Answer:
1.56 - 1.67
Explanation:
Refractive index of any material is given as the ratio of the speed of light in a vacuum to the speed of light in that medium.
Mathematically, it is given as:
n = c/v
Where c is the speed of light in a vacuum and v is the speed of light in the medium.
Given that the speed of light in the optical medium varies from 1.8 * 10^8 m/s to 1.92 * 10^8 m/s, we can find the range of the refractive index.
When the speed is 1.8 * 10^8 m/s, the refractive index is:
n = (3 * 10^8) / (1.8 * 10^8)
n = 1.67
When the speed is 1.92 * 10^8 m/s, the refractive index is:
n = (3 * 10^8) / (1.92 * 10^8)
n = 1.56
Therefore, the range of values of the refractive index of the optical medium is 1.56 - 1.67.
Answer:
The current flows in the second wire is
Explanation:
Given that,
Upward current = 24 A
Force per unit length
Distance = 7.0 cm
We need to calculate the current in second wire
Using formula of magnetic force
Where,
=force per unit length
I₁= current in first wire
I₂=current in second wire
r = distance between the wires
Put the value into the formula
Hence, The current flows in the second wire is