Answer: Acceleration of the car at time = 10 sec is 108
and velocity of the car at time t = 10 sec is 918.34 m/s.
Explanation:
The expression used will be as follows.
![M\frac{dv}{dt} = u\frac{dM}{dt}](https://tex.z-dn.net/?f=M%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%20u%5Cfrac%7BdM%7D%7Bdt%7D)
![\int_{t_{o}}^{t_{f}} \frac{dv}{dt} dt = u\int_{t_{o}}^{t_{f}} \frac{1}{M} \frac{dM}{dt} dt](https://tex.z-dn.net/?f=%5Cint_%7Bt_%7Bo%7D%7D%5E%7Bt_%7Bf%7D%7D%20%5Cfrac%7Bdv%7D%7Bdt%7D%20dt%20%3D%20u%5Cint_%7Bt_%7Bo%7D%7D%5E%7Bt_%7Bf%7D%7D%20%5Cfrac%7B1%7D%7BM%7D%20%5Cfrac%7BdM%7D%7Bdt%7D%20dt)
= ![u\int_{M_{o}}^{M_{f}} \frac{dM}{M}](https://tex.z-dn.net/?f=u%5Cint_%7BM_%7Bo%7D%7D%5E%7BM_%7Bf%7D%7D%20%5Cfrac%7BdM%7D%7BM%7D)
![v_{f} - v_{o} = u ln \frac{M_{f}}{M_{o}}](https://tex.z-dn.net/?f=v_%7Bf%7D%20-%20v_%7Bo%7D%20%3D%20u%20ln%20%5Cfrac%7BM_%7Bf%7D%7D%7BM_%7Bo%7D%7D)
![v_{o} = 0](https://tex.z-dn.net/?f=v_%7Bo%7D%20%3D%200)
As, ![v_{f} = u ln (\frac{M_{f}}{M_{o}})](https://tex.z-dn.net/?f=v_%7Bf%7D%20%3D%20u%20ln%20%28%5Cfrac%7BM_%7Bf%7D%7D%7BM_%7Bo%7D%7D%29)
u = -2900 m/s
![M_{f} = M_{o} - m \times t_{f}](https://tex.z-dn.net/?f=M_%7Bf%7D%20%3D%20M_%7Bo%7D%20-%20m%20%5Ctimes%20t_%7Bf%7D)
= ![2500 kg + 1000 kg - 95 kg \times t_{f}s](https://tex.z-dn.net/?f=2500%20kg%20%2B%201000%20kg%20-%2095%20kg%20%5Ctimes%20t_%7Bf%7Ds)
= ![(3500 - 95t_{f})s](https://tex.z-dn.net/?f=%283500%20-%2095t_%7Bf%7D%29s)
![v_{f} = -2900 ln(\frac{3500 - 95 t_{f}}{3500}) m/s](https://tex.z-dn.net/?f=v_%7Bf%7D%20%3D%20-2900%20ln%28%5Cfrac%7B3500%20-%2095%20t_%7Bf%7D%7D%7B3500%7D%29%20m%2Fs)
Also, we know that
a =
= ![\frac{u}{3500 - 95 t} \times (-95) m/s^{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bu%7D%7B3500%20-%2095%20t%7D%20%5Ctimes%20%28-95%29%20m%2Fs%5E%7B2%7D)
= ![\frac{95 \times 2900}{3500 - 95t} m/s^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B95%20%5Ctimes%202900%7D%7B3500%20-%2095t%7D%20m%2Fs%5E%7B2%7D)
At t = 10 sec,
= 918.34 m/s
and, a = 108 ![m/s^{2}](https://tex.z-dn.net/?f=m%2Fs%5E%7B2%7D)
The energy in electron volts of the photons that has the following frequencies is as follows:
- 620 THz = 2.564eV
- 3.10GHz = 1.28 × 10-⁵eV
- 46.0 MHz = 1.902 × 10-⁷eV
<h3>How to calculate energy?</h3>
The energy of a photon can be calculated using the following formula:
E = hf
Where;
- E = energy
- h = Planck's constant (6.626 × 10-³⁴ J/s)
- f = frequency
First, we convert the frequencies to hertz as follows;
- 620THz = 6.2 × 10¹⁴Hz
- 3.10GHz = 3.1 × 10⁹Hz
- 46.0MHz = 4.6 × 10⁷Hz
- E = 6.626 × 10-³⁴ × 6.2 × 10¹⁴ = 2.564eV
- E = 6.626 × 10-³⁴ × 3.1 × 10⁹ = 1.28 × 10-⁵eV
- E = 6.626 × 10-³⁴ × 4.6 × 10⁷ = 1.902 × 10-⁷eV
Learn more about energy of a photon at: brainly.com/question/2393994
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Answer:
no it is not a property of mass