a) 1.48 m/s
The tuning fork is moving by simple harmonic motion: so, the maximum speed of the tip of the prong is related to the frequency and the amplitude by

where
is the maximum speed
is the angular frequency
A is the amplitude
For the tuning fork in the problem, we have
, where f is the frequency
is the amplitude
Therefore, the maximum speed is

b) 
The fly's maximum kinetic energy is given by

where
is the mass of the fly
is the maximum speed
Substituting into the equation, we find

Answer:
The magnitude of the magnetic field at the center of the loop is 3.846 x 10⁻⁵ T.
Explanation:
Given;
number of turns of the flat circular loop, N = 18 turns
radius of the loop, R = 15.0 cm = 0.15 m
current through the wire, I = 0.51 A
The magnetic field through the center of the loop is given by;

Where;
μ₀ is permeability of free space = 4π x 10⁻⁷ m/A

Therefore, the magnitude of the magnetic field at the center of the loop is 3.846 x 10⁻⁵ T.
Angle is 31 adding all sides
Answer:
aaa
Explanation:
= Mass of the Earth = 5.98 × 10²⁴ kg
G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²
= Distance from the center of the Moon to the center of Earth = 6371000 m
= Distance from the center of the earth center to sun center
= Mass of moon = 
M = Mass of sun = 



Hence the force of moon on earth is 0.00566 times the force of earth on moon center to center