Answer: Their final relative velocity is -0.412 m/s.
Explanation:
According to the law of conservation,
![m_{1}v_{1} + m_{2}v_{2} = (m_{1} + m_{2})v](https://tex.z-dn.net/?f=m_%7B1%7Dv_%7B1%7D%20%2B%20m_%7B2%7Dv_%7B2%7D%20%3D%20%28m_%7B1%7D%20%2B%20m_%7B2%7D%29v)
Putting the given values into the above formula as follows.
![m_{1}v_{1} + m_{2}v_{2} = (m_{1} + m_{2})v](https://tex.z-dn.net/?f=m_%7B1%7Dv_%7B1%7D%20%2B%20m_%7B2%7Dv_%7B2%7D%20%3D%20%28m_%7B1%7D%20%2B%20m_%7B2%7D%29v)
![2.50 \times 10^{3} kg \times 0 m/s + 7.50 \times 10^{3} kg \times -0.550 m/s = (2.50 \times 10^{3} kg + 7.50 \times 10^{3} kg)v](https://tex.z-dn.net/?f=2.50%20%5Ctimes%2010%5E%7B3%7D%20kg%20%5Ctimes%200%20m%2Fs%20%2B%207.50%20%5Ctimes%2010%5E%7B3%7D%20kg%20%5Ctimes%20-0.550%20m%2Fs%20%3D%20%282.50%20%5Ctimes%2010%5E%7B3%7D%20kg%20%2B%207.50%20%5Ctimes%2010%5E%7B3%7D%20kg%29v)
![-4.12 \times 10^{3} kg m/s = (10^{4} kg) v](https://tex.z-dn.net/?f=-4.12%20%5Ctimes%2010%5E%7B3%7D%20kg%20m%2Fs%20%3D%20%2810%5E%7B4%7D%20kg%29%20v)
v = ![\frac{-4.12 \times 10^{3} kg m/s}{10^{4} kg}](https://tex.z-dn.net/?f=%5Cfrac%7B-4.12%20%5Ctimes%2010%5E%7B3%7D%20kg%20m%2Fs%7D%7B10%5E%7B4%7D%20kg%7D)
= -0.412 m/s
Thus, we can conclude that their final relative velocity is -0.412 m/s.
Answer:
D. Frequency
Explanation:
The energy of an electromagnetic wave is proportional to frequency, mathematically it is expressed as;
E ∝ f
E = hf
where;
h is Planck's constant = 6.626 x 10⁻³⁴ Js
The equation above can also be expanded to;
![E = hf = h \frac{c}{\lambda}](https://tex.z-dn.net/?f=E%20%3D%20hf%20%3D%20h%20%5Cfrac%7Bc%7D%7B%5Clambda%7D)
where;
c is speed of light = 3 x 10⁸ m/s
λ is the wavelength of the electromagnetic wave
Since the speed of light is constant, we can conclude that the energy of the electromagnetic wave is directly proportional to its frequency and inversely proportional to its wavelength.
Therefore, the correct option for direct proportionality is FREQUENCY
Answer:
Wheres. The. Pics. Of. The. Structures
Explanation:
Answer:
a)Velocity of car =v=16 m/s
b)Force against the track at point B=1.15*
N
Explanation:
Given mass of roller coaster=m=350 kg
Position of A=Ha=25 m
Position of B=Hb=12 m
Net potential energy=mg(ha-hb)
Net potential energy=(350)(9.80)(25-12)
Net potential energy=44590 J
Using energy conservation
net kinetic energy=net potential energy
(1/2)mv^2=mg(ha-hb)
m=350
velocity=v=16 m/s
b)There two force acting,centripetal force upward and gravity downward.
Thus net force acting will be
Net force=(mv^2/r)-mg
Net force=14933.33-3430
Net force=1.15*
N
Answer:
thermal energy
Explanation:
heat transfers into it causing it to physically change