The moon clock is A) (9.8/1.6)h compared to 1 hour on Earth
Explanation:
The period of a simple pendulum is given by the equation

where
L is the length of the pendulum
g is the acceleration of gravity
In this problem, we want to compare the period of the pendulum on Earth with its period on the Moon. The period of the pendulum on Earth is

where
is the acceleration of gravity on Earth
The period of the pendulum on the Moon is

where
is the acceleration of gravity on the Moon
Calculating the ratio of the period on the Moon to the period on the Earth, we find

Therefore, for every hour interval on Earth, the Moon clock will display a time of
A) (9.8/1.6)h
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Answer:
a) q_1=q_2= 7.42*10^-7 C
b) q_2= 3.7102*10^-7 C , q_1 = 14.8*10^-7 C
Explanation:
Given:
F_e = 0.220 N
separation between spheres r = 0.15 m
Electrostatic constant k = 8.99*10^9
Find: charge on each sphere
part a
q_1 = q_2
Using coulomb's law:
F_e = k*q_1*q_2 / r^2
q_1^2 = F_e*r^2/k
q_1=q_2= sqrt (F_e*r^2/k)
Plug in the values and evaluate:
q_1=q_2= sqrt (0.22*0.15^2/8.99*10^9)
q_1=q_2= 7.42*10^-7 C
part b
q_1 = 4*q_2
Using coulomb's law:
F_e = k*q_1*q_2 / r^2
q_2^2 = F_e*r^2/4*k
q_2= sqrt (F_e*r^2/4*k)
Plug in the values and evaluate:
q_2= sqrt (0.22*0.15^2/4*8.99*10^9)
q_2= 3.7102*10^-7 C
q_1 = 14.8*10^-7 C
The nucleus that completes the equation given above is 218/85 At, which is option D.
<h3>What is a nuclear fission?</h3>
Nuclear fission is a nuclear reaction in which a large nucleus splits into smaller ones with the simultaneous release of energy.
According to this question, the following nuclear fission reaction is given: 222/87Fr = 4/2He+ ?
To find the missing nucleus, we subtract 4 from 222 to get 218, therefore, the nucleus that completes the equation given above is 218/85 At.
Learn more about nuclear fission at: brainly.com/question/913303
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Answer:
The current pass through the coil is 6.25 A
Explanation:
Given that,
Diameter = 25 cm
Magnetic field = 1.0 mT
Number of turns = 100
We need to calculate the current
Using the formula of magnetic field


Where, N = number of turns
r = radius
I = current
Put the value into the formula


Hence, The current passes through the coil is 6.25 A
Answer:
The rotational kinetic energy of the rotating wheel is 529.09 J
Explanation:
Given;
moment of inertia I = 0.35kg⋅m²
number of revolutions = 35.0
time of revolution, t = 4.00 s
Angular speed (in revolution per second), ω = 35/4 = 8.75 rev/s
Angular speed (in radian per second), ω = 8.75 rev/s x 2π = 54.985 rad/s
Rotational kinetic energy, K = ¹/₂Iω²
Rotational kinetic energy, K = ¹/₂ x 0.35 x (54.985)²
Rotational kinetic energy, K = 529.09 J
Therefore, the rotational kinetic energy of the rotating wheel is 529.09 J