A car with an initial velocity of 16.0 meters per second east slows uniformly to 6.0 meters per second east in 4.0 seconds. What
1 answer:
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Answer:
1)
2)
Explanation:
Projectile Motion
When an object is projected near the surface of the Earth at an angle to the horizontal, it follows a trajectory known as a parabola. The only force acting on it (ignoring wind resistance) is gravity, affecting the vertical axis.
The height of a projectile can be calculated using
where represents the initial height from ground level,
is the vertical component of the initial velocity, and t is the elapsed time.
The vertical speed component is expressed as
1) To proceed, we will determine the initial vertical velocity component since we lack sufficient data to calculate the absolute value of .
The peak height is attained when , which allows us to compute the time to reach that height.
Solving for
Thus, the maximum height reached is
We know this value is equal to 8 meters
Continuing with the calculations for
Substituting known values yields
2) At t=1.505 seconds, the ball is positioned above Julie’s head; we can calculate
The heat required to raise the temperature of a substance by 
is represented by
where m stands for the mass of the substance and
indicates the specific heat of the substance. In this situation, we possess 
and 
, the specific heat of water.
Consequently, we can ascertain the temperature rise:
Initially, the water's temperature was
, so the end temperature should be
Thus, the water is expected to be vapor by now.
However, to give a more accurate statement, during the liquid to vapor transition, the heat added to the system is used to break molecular bonds instead of raising the system's temperature. The heat necessary for the phase change from liquid to vapor is expressed as
where
denotes the latent heat of vaporization for water.
Nevertheless, the initial heat input of 50 KJ is less than this requirement, indicating there isn't sufficient heat to finish the liquid-vapor transition. Therefore, the water will remain in the liquid-vapor change phase at a temperature of
(the temperature at which the phase change begins)
where m stands for the mass of the substance and
Consequently, we can ascertain the temperature rise
Initially, the water's temperature was
Thus, the water is expected to be vapor by now.
However, to give a more accurate statement, during the liquid to vapor transition, the heat added to the system is used to break molecular bonds instead of raising the system's temperature. The heat necessary for the phase change from liquid to vapor is expressed as
where
Nevertheless, the initial heat input of 50 KJ is less than this requirement, indicating there isn't sufficient heat to finish the liquid-vapor transition. Therefore, the water will remain in the liquid-vapor change phase at a temperature of
1) The wave's period remains constant across different media
2) The wave's velocity varies depending on the medium it travels through
3) As a wave transitions between media, its speed, direction, and wavelength can change, while its frequency stays unchanged
Clarification:
1)
The period of a wave signifies the duration it takes for one full oscillation.
The wave's period is the inverse of its frequency:
where
T denotes the period
f is the frequency
The provided table illustrates that the frequency remains consistent across the three media; hence, the period is unchanged as it solely relies on frequency. We can compute it as we know that
f = 350 Hz
thus the period equals
2)
The velocity of a wave can be derived from the wave equation:
where
f indicates the frequency
is the wavelength
, resulting in a speed of
In the second medium,
, leading to a speed of
In the third medium,
, showing a speed of
As a result, we conclude that the wave's speed varies with the medium.
3)
<pwhen a="" wave="" shifts="" from="" one="" medium="" to="" another="" the="" following="" occurs:="">- The wave's direction alters. Specifically, if the subsequent medium is of greater optical density, the wave bends towards the normal; conversely, it bends away if the second medium is of lesser optical density.
- The wave's speed is affected. The wave decelerates in media with higher optical density and accelerates in those with lower optical density.
- The wave's frequency remains unchanged.
- Ultimately, the wave's wavelength is modified. If moving into a medium of greater optical density, the wavelength decreases, while it increases in one of lower optical density.
Discover more about waves here:
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