Answer:
18.1 MN/C
Explanation:
The gravitational force of the plastic sphere is in equilibrium with the electric force.
Mass of the plastic sphere = m = 14.2 g = 0.0142 kg
Force of gravity = F = mg = (0.0142)(9.81) = 0.139 N
This force is balanced by the electric force due to the charge 7.7 nC
Charge = q = 7.7 x 10⁻⁹ C
Electric field = E = F / q = (0.139) /(7.7 x 10⁻⁹) = 18.1 MN/C
Answer:
<em>The second person will have a velocity of 0.85 m/s in the opposite direction of the first person.</em>
Explanation:
<u>Law Of Conservation Of Linear Momentum</u>
The total momentum of a system of bodies is conserved unless an external force is applied. The formula for the momentum of a body with mass m and velocity v is:
P=mv.
If we have a system of bodies, then the total momentum is the sum of them all
If a collision occurs, the velocities change to v' and the final momentum is:
In a system of two masses, the law of conservation of linear momentum is:
According to the conditions of the problem, two persons standing on a frictionless surface are initially at rest (v1=0, v2=0). Their masses are m1=50 Kg and m2=65 Kg. After the push, one person (say m1) moves backward at v1'=-1.1 m/s. We can calculate the speed of the other person by solving for v2':
Substituting:
The second person will have a velocity of 0.85 m/s in the opposite direction of the first person.
<span> the resolution of </span>0.01s<span> </span>10 ms<span>, or </span>1/100<span> of a second.</span>
Answer:
OPTIMISATION
Explanation:
Optimisation is a mathematical theory for developing strategies that maximize gains and minimize losses while adhering to a given set of rules and constraints.
The theory has a target function to be maximised or minimised, dependent on its explanatory variable(s), with respect to which the function has to be maximised or minimised. It also has constraints which might be binding factors to maximisation / minimisation.
Eg : Revenue optimising output is found by maximising profit function with respect to constraint function in forms of cost etc.
Answer:
Explanation:
Consider:
The equation for the Poynting vector is given as:
∴