Answer:
(a) 1.85 m/s
(b) 4.1 m/s
Explanation:
Data
- initial bullet velocity, Vbi = 837 m/s
- wooden block mass, Mw = 820 g
- initial wooden block velocity, Vwi = 0 m/s
- final bullet velocity, Vbf = 467 m/s
(a) From the conservation of momentum:
Mb*Vbi + Mw*Vwi = Mb*Vbf + Mw*Vwf
Mb*(Vbi - Vbf)/Mw = Vwf
4.1*(837 - 467)/820 = Vwf
Vwf = 1.85 m/s
(b) The speed of the center of mass speed is calculated as follows:
V = Mb/(Mb + Mw) * Vbi
V = 4.1/(4.1 + 820) * 837
V = 4.1 m/s
Answer:
Potential difference and charge will also increase.
Explanation:
Asking that :
What will happen to the charge and potential difference if the plate area were increased while the plate separation remains unchanged?
The charge is directly proportional to area of the plate. That is, increase in area of the plate of a capacitor will lead to the increase in the charges between the plates.
And since charge is also proportional to the magnitude of potential difference between the plates from the definition of capacitance of a capacitor which says that:
Q = CV
Therefore, increase in the area of the plate will also lead to increase in potential difference between the plates.
Therefore, if the plate area were increased while the plate separation remains unchanged, the charge and potential difference between them will also increase.
The acceleration of the jet is 
Explanation:
Since the jet motion is a uniformly accelerated motion (=constant acceleration), we can use the following suvat equation:

where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacement
For the jet in this problem, we have
u = 0 (it starts from rest)
v = 40 m/s (final velocity)
s = 70 m (length of the runway)
Solving for a, we find the acceleration:

Learn more about acceleration:
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#LearnwithBrainly
Answer:

147.45 Hz
Explanation:
v = Speed of sound in water = 1482 m/s
= Speed of whale = 4.95 m/s
Frequency of the wave in stationary condition

Ship's frequency which is reflected back

The difference in frequency is given by





The difference in wavelength is 147.45 Hz
Answer:
the instantaneous velocity is 51 m/s
Explanation:
Given;
acceleration, a = 2 + 5t²
Acceleration is the change in velocity with time.
![a = \frac{dv}{dt} \\\\a = 2 + 5t^2\\\\The \ acceleration \ (a) \ is \ given \ so \ we \ have \ to \ find \ the \ velocity \ (v)\\\\To \ find \ the \ velocity, \ integrate\ both \ sides \ of \ the \ equation\\\\2 + 5t^2 = \frac{dv}{dt} \\\\\int\limits^3_0 {(2 + 5t^2)} \, dt = dv\\\\v = [2t + \frac{5t^3}{3} ]^3_0\\\\v = 2(3) + \frac{5(3)^3}{3} \\\\v = 6 + 5(3)^2\\\\v = 6 + 45\\\\v = 51 \ m/s](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bdv%7D%7Bdt%7D%20%5C%5C%5C%5Ca%20%3D%202%20%2B%205t%5E2%5C%5C%5C%5CThe%20%5C%20acceleration%20%5C%20%28a%29%20%5C%20is%20%5C%20given%20%5C%20so%20%5C%20we%20%5C%20have%20%5C%20to%20%5C%20find%20%5C%20the%20%5C%20velocity%20%5C%20%28v%29%5C%5C%5C%5CTo%20%5C%20find%20%5C%20the%20%5C%20velocity%2C%20%5C%20integrate%5C%20both%20%5C%20sides%20%5C%20of%20%5C%20the%20%5C%20equation%5C%5C%5C%5C2%20%2B%205t%5E2%20%3D%20%5Cfrac%7Bdv%7D%7Bdt%7D%20%5C%5C%5C%5C%5Cint%5Climits%5E3_0%20%7B%282%20%2B%205t%5E2%29%7D%20%5C%2C%20dt%20%3D%20dv%5C%5C%5C%5Cv%20%3D%20%5B2t%20%2B%20%5Cfrac%7B5t%5E3%7D%7B3%7D%20%5D%5E3_0%5C%5C%5C%5Cv%20%3D%202%283%29%20%2B%20%5Cfrac%7B5%283%29%5E3%7D%7B3%7D%20%5C%5C%5C%5Cv%20%3D%206%20%2B%205%283%29%5E2%5C%5C%5C%5Cv%20%3D%206%20%2B%2045%5C%5C%5C%5Cv%20%3D%2051%20%5C%20m%2Fs)
Therefore, the instantaneous velocity is 51 m/s