Answer:
<em>The ball falls 0.3 m in the first 1/4 seconds, and it falls 0.92 m in the second 1/4 second</em>
Explanation:
<u>Horizontal Launch
</u>
When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.
To calculate the vertical distance (y) traveled by the object in terms of the time (t) we use:

The fastball is thrown horizontally. The distance the ball falls in t=1/4 seconds = 0.25 seconds, is:


The distance the ball falls in t=1/2 seconds = 0.5 seconds is:


The distance it falls in the second 1/4 second is:


The ball falls 0.3 m in the first 1/4 seconds, and it falls 0.92 m in the second 1/4 second
Answer:
Em₀ = U = m g h
, Em_{f} = K = ½ m v²
Explanation:
When a car is on a ramp it has a certain amount of mechanical energy. At the highest point of the ramp the mechanical energy is fully potential given by
Em₀ = U = m g h
As part of this energy descends down the ramp, part of this energy is transformed into kinetic energy and has one part of each, even though the sum remains the initial energy
Em = K + U = ½ m v² + mg y
y <h
when it reaches the bottom of the ramp it has no height therefore there is no potential energy, all of it has been transformed into kinetic energy
Em_{f} = K = ½ m v²
This energy transformation is in the case that the friction force is zero.
If there is a friction force, it performs work against the low car, it is reflected in an increase in the internal energy (temperature) of the car. In this case the energy in the lower part is less than the initial one by a factor
= - fr L
therefore the numeraire values of the velocity are lower, due to the energy lost by friction.
A pair of scissors .....................................
Answer:
14.79 kgm/s
Explanation:
Data provided in the question
Let us assume the mass of baseball = m = 0.145 kg
The Initial velocity of pitched ball =
= 47 m/s
Final velocity of batted ball in the opposite direction =
= -55m/s
Based on the above information, the change in momentum is

= 14.79 kgm/s
Hence, the magnitude of the change in momentum of the ball is 14.79 kg m/s
Answer:

Explanation:
We have,
Speed of an electron is 
It is required to find the De Broglie wavelength of electron. The formula for the De- Broglie wavelength is given by :

h is Planck's constant
m is mass of an electron
Plugging all the values we get :

So, the De-Broglie wavelength of an electron is 