A bullet is accelerated down the barrel of a gun by hot gases produced in the combustion of gun powder. What is the average forc
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1. Due to the first law of Newton: there is a force that accelerate the body,
then the net force for 2 forces in opposite directions can calculated as
2. For a force make an angle with the horizontal plane, we need to analysis the force into 2 perpendicular forces:
- In horizontal plane:
θ
then, as Q(1),
3. Because of the non change in the velocity, there is no acceleration
Then, there is no force is acted from the body
Hence all forces is according to the tension in the cable
4. A) As we solve the Q(2), we will analysis the un horizontal or vertical forces into 2 forces
θ
θ
Hence we have 2 opposite horizontal forces. also, 2 opposite vertical forces.
now, we calculate the net forces in each direction
in east
in south
The total net force for perpendicular forces is calculated from the relation:
B) To find the direction, we need to calculate the angle which the total force is made with the east direction of the x-axis (horizontal)
θ =
That meas that the total force is made with the east direction of the x-axis angle equal to 23.48 for the south (the 4th quarter)
5. According to the third law of Newton, to make the balance the net force equal to zero (for each action there is a reaction with the same amplitude and in opposite direction)
Then,
From the definition of apparent magnitude, we know that:
where:
m = apparent magnitude
F = corresponding flux
We also know that the flux is given by the formula:
where:
L = luminosity
d = distance
Therefore:
Now, let's apply these formulae to the same star (therefore, same luminosity), using apparent magnitude and absolute magnitude (which is defined as the apparent magnitude the star would have if it were at a distance of 10pc):
Now, let's solve for m:
= <span>
</span>
= 13
Hence, the apparent magnitude of the star would be m = +13
where:
m = apparent magnitude
F = corresponding flux
We also know that the flux is given by the formula:
where:
L = luminosity
d = distance
Therefore:
Now, let's apply these formulae to the same star (therefore, same luminosity), using apparent magnitude and absolute magnitude (which is defined as the apparent magnitude the star would have if it were at a distance of 10pc):
Now, let's solve for m:
= <span>
= 13
Hence, the apparent magnitude of the star would be m = +13