A rock hits the ground with a speed of 13 m s−1
1 answer:
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Answer:
7.5 km/h (2.1 m/s) due east
Explanation:
The average velocity of the person is given by:
where
d is the displacement
t is the time taken
In this problem,
d = 15 km is the displacement
t = 2.0 h is the time elapsed
so the average velocity is
and the direction is the same as the displacement (east).
We can also convert the velocity into SI units (m/s). We have:
d = 15 km = 15,000 m
t = 2.0 h * 3600 s/h = 7200 s
The equivalent resistance of resistors connected in parallel is
In our problem, we have 5 identical resistor of resistance
, so their equivalent resistance is
The problem also says that the equivalent resistance is
, so we can find the resistance R of each piece of wire:
In the initial wire, it's like the 5 pieces are connected in series, so the equivalent resistance of the wire is just the sum of the resistances of the 5 pieces:
In our problem, we have 5 identical resistor of resistance
The problem also says that the equivalent resistance is
In the initial wire, it's like the 5 pieces are connected in series, so the equivalent resistance of the wire is just the sum of the resistances of the 5 pieces:
The initial velocity of the cat is 56.6 m/s
Explanation:
The motion of the cat is a projectile motion, consisting of:
- a uniform horizontal motion with constant velocity
- a vertical accelerated motion with constant acceleration (free fall)
We start by analyzing the vertical motion, to find the time it takes for the cat to reach the ground. We use the following suvat equation:
where we have (choosing downard as positive direction)
s = 125 m is the vertical displacement of the cat
u = 0 is the initial vertical velocity
t is the time taken to reach the ground
is the acceleration of gravity
Solving for t, we find
Now we can analzye the horizontal motion. Since the motion is uniform and the horizontal velocity is constant, it is given by
where
d = 286 m is the horizontal distance travelled
t = 5.05 s is the time taken
Solving the equation,
Learn more about projectile motion:
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