<em>Answer: D</em>
<em>Given data:</em>
The electric field due to charge q₁ is (E₁) = 1.5 × 10⁵ N/C
The electric field due to charge q₂ is (E₂) = 7.2 × 10⁵ N/C
Determine the net electric field at point P (Enet) = ?
electric field measured in Newtons/coulomb
<em>We know that,</em>
The net electric field (Enet) is vector sum of E₁ and E₂ caused by the charge q₁ and q₂ respectively
Enet = E₁ + E₂
= (1.5 × 10⁵)+ (7.2 × 10⁵)
= 8.7 × 10⁵ Newtons/coulomb
<em>The net electric field at point P is 8.7 × 10⁵ N/C</em>
Answer: y(t)= 1/π^2 sin(6*π^2*t)
Explanation: In order to solve this problem we have to consider the general expression for a harmonic movement given by:
y(t)= A*sin (ω*t +φo) where ω is the angular frequency. A is the amplitude.
The data are: ν= 3π; y(t=0)=0 and y'(0)=6.
Firstly we know that 2πν=ω then ω=6*π^2
Then, we have y(0)=0=A*sin (6*π^2*0+φo)= A sin (φo)=0 then φo=0
Besides y'(t)=6*π^2*A*cos (6*π^2*t)
y'(0)=6=6*π^2*A*cos (6*π^2*0)
6=6*π^2*A then A= 1/π^2
Finally the equation is:
y(t)= 1/π^2 sin(6*π^2*t)
40 miles at 20 mph takes 2 hours
180 miles at 60 mph takes 3 hours
<span>Average speed = Total distance / Total time </span>
<span>= (40 + 180) / (2 + 3) </span>
= 220 / 5
= 44
<span>The correct answer is 44 m/s</span>
The number of protons in one atom of an element determines the atom’s identity and the number of electrons determines electrical charge of an element.
<u>Explanation:
</u>
Atoms are made up of protons, neutrons and electrons. The protons and neutrons are enclosed in a specific spherical region at the center of the atom termed as nucleus of the atom. This is because proton is positive charge and neutron is neutral charged high mass particles.
While the electrons are negative charged lighter mass particles. So the electrons will revolve around the nucleus. The protons number in element's one atom helps to identity its chemical properties of the element. While the electrons number in an element will determine the electrical charge and conducting nature of the element.
