A pendulum has 951 J of potential energy at the highest point of its swing. How much kinetic energy will it have at the bottom o
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The velocity of the eagle is 7.0 m/s
Explanation:
The motion of the fish is a projectile motion, which consists of two independent motions:
- A uniform motion (constant velocity) along the horizontal direction, where the horizontal velocity of the fish is equal to the horizontal velocity of the eagle
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
We start by analyzing the vertical motion, using the following suvat equation:
where:
s = 6.1 m is the vertical displacement of the fish
u = 0 is the initial vertical velocity of the fish
is the acceleration of gravity
t is the time
Solving for t, we find the time of flight of the fish:
Now we know that during this time, the fish travels a horizontal distance of
x = 7.9 m
Therefore, the horizontal velocity of the fish is
And therefore, this is the initial velocity of the eagle.
Learn more about projectile motion:
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1) Current in each bulb: 0.1 A
The two light bulbs are connected in series, this means that their equivalent resistance is just the sum of the two resistances:
And so, the current through the circuit is (using Ohm's law):
And since the two bulbs are connected in series, the current through each bulb is the same.
2) 4 W and 8 W
The power dissipated by each bulb is given by the formula:
where I is the current and R is the resistance.
For the first bulb:
For the second bulb:
3) 12 W
The total power dissipated in both bulbs is simply the sum of the power dissipated by each bulb, so: