Answer:
If by 1.5 MJ you mean 1.5E6 Joules then
W = P t = power X time
W / t = P power
P = 1.5E6 J / 600 sec = 2500 J / s
P = I V
a) I = 2500 J/s / (240 J/c) = 10.4 C / sec = 10.4 amps
b) Q = I t = 10.4 C / sec * 300 sec = 3120 Coulombs
c) E = P * t = 2500 J / sec * 100 hr * 3600 sec / hr = 9.0E8 Joules
The combined momentum is 4000 kg m/s south
Explanation:
The total combined momentum of the two cars is given by the vector addition of the momenta of the two cars.
For this problem, we choose north as positive direction and south as negative direction.
The momentum of the first car travelling north is given by:
![p_1 = m_1 v_1](https://tex.z-dn.net/?f=p_1%20%3D%20m_1%20v_1)
where
is the mass of the car
is its velocity
Substituting,
![p_1 = (1600)(8)=+12800 kg m/s](https://tex.z-dn.net/?f=p_1%20%3D%20%281600%29%288%29%3D%2B12800%20kg%20m%2Fs)
The momentum of the second car travelling south is given by:
![p_2 = m_2 v_2](https://tex.z-dn.net/?f=p_2%20%3D%20m_2%20v_2)
where
is the mass of the car
is its velocity (negative because the car travels south)
Substituting,
![p_2 = (1400)(-12)=-16800 kg m/s](https://tex.z-dn.net/?f=p_2%20%3D%20%281400%29%28-12%29%3D-16800%20kg%20m%2Fs)
And therefore, the combined momentum is
![p=p_1 + p_2 = +12800 + (-16800)=-4000 kg m/s](https://tex.z-dn.net/?f=p%3Dp_1%20%2B%20p_2%20%3D%20%2B12800%20%2B%20%28-16800%29%3D-4000%20kg%20m%2Fs)
where the negative sign means the direction of the total momentum is south.
Learn more about momentum:
brainly.com/question/7973509
brainly.com/question/6573742
brainly.com/question/2370982
brainly.com/question/9484203
#LearnwithBrainly
Answer:
Explanation:
given,
tuning fork vibration = 508 Hz
accelerates = 9.80 m/s²
speed of sound = 343 m/s
observed frequency = 490 Hz
![f_s = f(\dfrac{v}{v-(-v_s)})](https://tex.z-dn.net/?f=f_s%20%3D%20f%28%5Cdfrac%7Bv%7D%7Bv-%28-v_s%29%7D%29)
![f_s = f(\dfrac{v}{v+v_s})](https://tex.z-dn.net/?f=f_s%20%3D%20f%28%5Cdfrac%7Bv%7D%7Bv%2Bv_s%7D%29)
![v_s = v[\dfrac{f_s}{f_o}-1]](https://tex.z-dn.net/?f=v_s%20%3D%20v%5B%5Cdfrac%7Bf_s%7D%7Bf_o%7D-1%5D)
![= 343[\dfrac{508}{490}-1]](https://tex.z-dn.net/?f=%3D%20343%5B%5Cdfrac%7B508%7D%7B490%7D-1%5D)
![v_s=12.6 m/s](https://tex.z-dn.net/?f=v_s%3D12.6%20m%2Fs)
distance the tunning fork has fallen
![y_1=\dfrac{v^2}{2a_y}](https://tex.z-dn.net/?f=y_1%3D%5Cdfrac%7Bv%5E2%7D%7B2a_y%7D)
![=\dfrac{12.6^2}{2\times 9.8}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B12.6%5E2%7D%7B2%5Ctimes%209.8%7D)
=8.1 m
now, time required for the observed will be
![t = \dfrac{8.1}{343} = 0.023 s](https://tex.z-dn.net/?f=t%20%3D%20%5Cdfrac%7B8.1%7D%7B343%7D%20%3D%200.023%20s)
now, for the distance calculation
![y_2 = u\ t + \dfrac{1}{2}at^2](https://tex.z-dn.net/?f=y_2%20%3D%20u%5C%20t%20%2B%20%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
![= 12.6\times 0.023 +\dfrac{1}{2}\times 9.8 \times 0.023^2](https://tex.z-dn.net/?f=%3D%2012.6%5Ctimes%200.023%20%2B%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%209.8%20%5Ctimes%200.023%5E2)
=0.293 m
total distance
= 8.1 + 0.293 = 8.392 m
Answer: y = 40 + 21t
Explanation:
Apply the equation of distance covered.
d = vt + C
Where d is the distance covered
v = velocity , t = time
C = constant = initial distance covered
For the case above....
d = y
y(t) = vt + C
But y(0) =40 = C
C = 40ft
velocity v = 21 ft/s
Therefore, the equation of the altitude is given by;
y(t) = 21t +40
y = 40 + 21t