Kinetic energy is the energy possessed by an object when that object is moving in space. The higher the mass of an object or higher the speed of an object the higher the kinetic energy will be.
So to calculate the Kinetic Energy we can use the following formula
K.E=(1/2)*m*v^2
Inserting the values in formula gives:
K.E=1/2*7.26*2^2
14.52J
This is the final answer which gives the kinetic energy of the ball.
Answer:
Part a)
v = 16.52 m/s
Part b)
v = 7.47 m/s
Explanation:
Part a)
(a) when the large-mass object is the one moving initially
So here we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say
![m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v](https://tex.z-dn.net/?f=m_1v_%7B1i%7D%20%2B%20m_2v_%7B2i%7D%20%3D%20%28m_1%20%2B%20m_2%29v)
since this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say
![v = \frac{(m_1v_{1i} + m_2v_{2i})}{(m_1 + m_2)}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B%28m_1v_%7B1i%7D%20%2B%20m_2v_%7B2i%7D%29%7D%7B%28m_1%20%2B%20m_2%29%7D)
![v = \frac{(8.4\times 24 + 3.8\times 0)}{3.8 + 8.4}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B%288.4%5Ctimes%2024%20%2B%203.8%5Ctimes%200%29%7D%7B3.8%20%2B%208.4%7D)
![v = 16.52 m/s](https://tex.z-dn.net/?f=v%20%3D%2016.52%20m%2Fs)
Part b)
(b) when the small-mass object is the one moving initially
here also we can use momentum conservation as the net force on the system of two masses will be zero
so here we can say
![m_1v_{1i} + m_2v_{2i} = (m_1 + m_2)v](https://tex.z-dn.net/?f=m_1v_%7B1i%7D%20%2B%20m_2v_%7B2i%7D%20%3D%20%28m_1%20%2B%20m_2%29v)
Again this is a perfect inelastic collision so after collision both balls will move together with same speed
so here we can say
![v = \frac{(m_1v_{1i} + m_2v_{2i})}{(m_1 + m_2)}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B%28m_1v_%7B1i%7D%20%2B%20m_2v_%7B2i%7D%29%7D%7B%28m_1%20%2B%20m_2%29%7D)
![v = \frac{(8.4\times 0 + 3.8\times 24)}{3.8 + 8.4}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B%288.4%5Ctimes%200%20%2B%203.8%5Ctimes%2024%29%7D%7B3.8%20%2B%208.4%7D)
![v = 7.47 m/s](https://tex.z-dn.net/?f=v%20%3D%207.47%20m%2Fs)
Answer:
Velocity=1.1m/s
Amplitude=0.35m
Explanation:
Given:
time 't' = 2.9s
wavelength 'λ'= 5.5m
distance 'd'=0.7m
The time period 't' is the time b/w two successive waves. Therefore, the time it takes from the boat to travel from its highest point to its lowest is a half period.
So, T = 2 x 2.9 => 5.8 s
As we know that frequency is the reciprocal of time period, we have
f= 1/T = 1/5.8 =>0.2 Hz
In order to find how fast are the waves traveling, the velocity is given by
Velocity = f λ
V= 0.2 x 5.5 =>1.1m/s
The distance between the boat's highest point to its lowest point is double the amplitude.
Therefore , we can write
Amplitude 'A'= d/2 =>0.7/2 =>0.35m
<span>When Kevin pulls his cotton shirt off his body, the electrons get transferred from the shirt (in form of static charges i.e. electrons to the body. So, the shirt becomes positively charged and Kevin’s body becomes negatively charged.
As a result of charge transfer from the shirt to the body, we can hear a crackling sound. or if observed in dark, a sparkle can be seen.</span>