A boy reaches out of a window and tosses a ball straight up with a speed of 10 m/s. The ball is 20 m above the ground as he rele
1 answer:
Explanation:
It is given that,
Speed of the ball, v = 10 m/s
Initial position of ball above ground, h = 20 m
We need to find the ball's maximum height above the ground. It can be calculated using the conservation of energy as :
h' = 5.1 m
The maximum height above ground,
H = 5.1 + 20
H = 25.1 meters
So, the maximum height reached by the ball is 25.1 meters. Hence, this is the required solution.
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Answer:
Explanation:
By using the Newton second law and the position equation for a simple harmonic motion we have
where a is the acceleration, w is the angular frecuency and \phi is the phase constant. We can calculate w from the equation for the maximum acceleration
(a).
(b).
(c).
(d). The mecanical energy is the kinetic energy when the velocity is a maximum
The equivalent resistance of n resistors connected in parallel is given by
(1)
In our problem, the resulting resistance of the 5 pieces connected in parallel is
, and since the 5 pieces are identical, their resistance R is identical, so we can rewrite (1) as
From which we find
.
So, each piece of wire has a resistance of
. Before the wire was cut, the five pieces were connected as they were in series. The equivalent resistance of a series of n resistors is given by
So if we apply it at our case, we have
therefore, the resistance of the original wire was
.
In our problem, the resulting resistance of the 5 pieces connected in parallel is
From which we find
So, each piece of wire has a resistance of
So if we apply it at our case, we have
therefore, the resistance of the original wire was