Answer:
Compounds are two or more elements chemically combined in definite proportions by weight.
Mixtures are two or more substances not chemically combined.
Explanation:
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Answer:
= -12 N
,
= -80 N and
= - 44 N
Explanation:
The force is related to the potential energy by the formula
F = -Δ U = - (
i ^ +
j ^ +
k ^)
It indicates the potential energy
U = 2xyz + 3z² + 4yx + 16
To solve this problem let's make the derivatives, to find each component of the force
= 2yz + 0 + 4y + 0 = 2yz + 4y
= 2xz + 0 + 4x + 0 = 2xz + 4x
= 2xy + 3 2z + 0 +0 = 2xy + 6z
We look for the expression for the force in each axis
= - 2yz - 4y
= -2xz -4x
= -2xy -6z
We calculate at the point P = (20 i ^ + 1j ^ + 4 k ^) m
= - 2 1 4 - 4 1
= -12 N
= - 2 20 4 - 4 20
= -80 N
= - 20 1 - 6 4
= - 44 N
We put together the expression for strength
F = (-12 i ^ - 80j ^ -44k ^) N
Given :
Number of operations move through a pocket calculator during a full day's operation ,
.
To Find :
How many coulombs of charge moved through it .
Solution :
We know , charge in one electron is :

So , charge on n electron is :

Therefore , -21.44 coulombs of charge is moved through it .
Hence , this is the required solution .
Answer:
a. Decreases
b. Increases
c. Remains the same
d. Increases
Explanation:
a. Capacitance is given by c= Ak€/d
where A is conductivity plate with Area
K is a constant
€ is dielectric with permittivity.
d is the distance
b. Potential difference is given by
V = Ed, since, the electric field remains the
same, the potential diterence also increases with increase in distance.
Since the capacitance depends upon the distance, and all the other factors are kept constant, the capacitance decreases.
c. Electric field remains the same because charge on the
plate remains the same.
d. since electric field remains the same and capacitance decreases, the energy increases.
E= 1/2c * Q^2
Answer:
h = 0.0259 m
Explanation:
given,
diameter of the cone = 0.0208 m
radius,r = 0.0104 m
angle of inclination,θ = 18°
initial angular velocity, ω_i = 56 rad/s
final angular velocity ,ω_f = 0 rad/s
height, h = ?
Rotational kinetic energy

Moment of inertia of coin

so,

Transnational Kinetic energy

v = r ω

now,
using conservation energy
Kinetic energy of the coin is converted into the potential energy
KE_r + KE_t = PE



h = 0.0259 m
Vertical height gain by the coin is equal to 0.0259 m