What does this tell you about the direction and magnitude of the acceleration acting on the cannonball throughout its duration o
1 answer:
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For Pascal's law, the pressure is transmitted with equal intensity to every part of the fluid:
which becomes
where
is the force on the first piston
is the area of the first piston
is the force on the second piston
is the area of the second piston
If we rearrange the equation and we use these data, we can find the intensity of the force on the second piston:
which becomes
where
If we rearrange the equation and we use these data, we can find the intensity of the force on the second piston:
Answer:
The rms voltage (in V) measured across the secondary coil is 459.62 V
Explanation:
Given;
number of turns in the primary coil, Np = 375 turns
number of turns in the secondary coil, Ns = 1875 turns
peak voltage across the primary coil, Ep = 130 V
peak voltage across the secondary coil, Es = ?
The rms voltage (in V) measured across the secondary coil is calculated as;
Therefore, the rms voltage (in V) measured across the secondary coil is 459.62 V
(a) -0.211 m
At the beginning the mass is displaced such that the length of the pendulum is L = 36.1 cm and the angle with the vertical is
The projection of the length of the pendulum along the vertical direction is
the full length of the pendulum when the mass is at the lowest position is
L = 36.1 cm
So the y-displacement of the mass is
(b) 0.347 J
The work done by gravity is equal to the decrease in gravitational potential energy of the mass, which is equal to
where we have
m = 168 g = 0.168 kg is the mass of the pendulum
g = 9.8 m/s^2 is the acceleration due to gravity
is the vertical displacement of the pendulum
So, the work done by gravity is
And the sign is positive, since the force of gravity (downward) is in the same direction as the vertical displacement of the mass.
(c) Zero
The work done by a force is:
where
F is the magnitude of the force
d is the displacement
is the angle between the direction of the force and the displacement
In this situation, the tension in the string always points in a radial direction (towards the pivot of the pendulum), while the displacement of the mass is tangential (it follows a circular trajectory): this means that the tension and the displacement are always perpendicular to each other, so in the formula
and so the work done is zero.