V=IR
60-V
The current that passes through a 10-ohm resistor = I
I=60/10
6 amperes
Answer:
The height is
A circular hoop of different diameter cannot be released from a height 30cm and match the sphere speed because from the conservation relation the speed of the hoop is independent of the radius (Hence also the diameter )
Explanation:
From the question we are told that
The height is
The angle of the slope is
According to the law of conservation of energy
The potential energy of the sphere at the top of the slope = Rotational kinetic energy + the linear kinetic energy
Where I is the moment of inertia which is mathematically represented as this for a sphere
The angular velocity is mathematically represented as
So the equation for conservation of energy becomes
Considering a circular hoop
The moment of inertial is different for circle and it is mathematically represented as
Substituting this into the conservation equation above
Where is the height where the circular hoop would be released to equal the speed of the sphere at the bottom
Recall that
Substituting values
Explanation:
The given data is as follows.
Electric potential energy () = ?
Formula to calculate electric potential energy is as follows.
=
=
Thus, we can conclude that the electric potential energy of the pair of charges when the second charge is at point b is .
Answer:
Difference in height = 7.5 cm
Explanation:
We are given;.
Height of ethyl alcohol;h2 = 20 cm = 0.2 m
Density of glycerin: ρ1 = 1260 kg/m³
Density of ethyl alcohol; ρ2 = 790 kg/m³
To get the difference in height, the pressure at the top of the open end must be equal to the pressure at the point where the liquids do not mix since both points will be at different levels after the pouring.
Thus;
P1 = P2
Formula for pressure is; P = ρgh
Thus;
ρ1 × g × h1 = ρ2 × g × h2
g will cancel out to give;
ρ1 × h1 = ρ2× h2
Making h1 the subject, we have;
h1 = (ρ2× h2)/ρ1
h1 = (790 × 0.2)/1260
h1 = 0.125 m
Difference in height will be;
Δh = h2 - h1
Δh = 0.2 - 0.125
Δh = 0.075 m = 7.5 cm
It's mostly used in CHEMICAL PROCESSES.