Answer:
σ = 0.255*10^-3 C/m²
Explanation:
The Electric field Intensity act due to plate = σ/ε₀, where σ is surface charge density of plate.
At equilibrium ,
Upward force = downward force
Tcosθ = mg ----(1)
Assuming that the Forward force = backward force, then
Tsinθ = σq/ε₀
[ ∵ F = qE , ∴ F = qσ/ε₀ ] -----(2)
Dividing equation (2) by (1)
Tsinθ/Tcosθ = qσ/ε₀mg
⇒Tanθ = qσ/ε₀mg
σ = ε₀mg tanθ/q
Now substituting the values of
σ = (8.85*10^-12 * 1 * tan 30) / 2*10^-8
σ = (8.85*10^-12 * 0.5774) / 2*10^-8
σ = 5.11*10^-12 / 2*10^-8
σ = 0.255*10^-3 C/m²
We are given
the torque requirement of 97 Newton meter.
The formula of the torque is
τ = r * F * sinθ
where
τ is the torque
r = radius from the axis of rotation to the point of application.
F = force exerted
θ = the angle between the lever arm and the radius
Try to substitute the given and solve for F.
Answer:
E. downward and constant
Explanation:
Freefall is a special case of motion with constant acceleration because the acceleration due to gravity is always constant and downward. This is true even when an object is thrown upward or has zero velocity.
For example, when a ball is thrown up in the air, the ball's velocity is initially upward. Since gravity pulls the object toward the earth with a constant acceleration ggg, the magnitude of velocity decreases as the ball approaches maximum height. At the highest point in its trajectory, the ball has zero velocity, and the magnitude of velocity increases again as the ball falls back toward the earth.
By definition, the kinetic energy is given by:
K = (1/2) * m * v ^ 2
where
m = mass
v = speed
We must then find the speed of both objects:
blue puck
v = root ((0) ^ 2 + (- 3) ^ 2) = 3
gold puck
v = root ((12) ^ 2 + (- 5) ^ 2) = 13
Then, the kinetic energy of the system will be:
K = (1/2) * m1 * v1 ^ 2 + (1/2) * m2 * v2 ^ 2
K = (1/2) * (4) * (3 ^ 2) + (1/2) * (6) * (13 ^ 2)
K = <span>
525</span> J
answer
The kinetic energy of the system is<span>
<span>525 </span></span>J
Lab safety equipment prevents damage from accidents and helps keep the people working in the lab safe. The equipment goes hand in hand with the clothing of the person. The first step would be to wear closed shoes and a lab coat.
The equipment that must be worn are goggles to protect the eyes from irritants and latex gloves to protect the skin on the hands.
