Answer:
J = Δp
Explanation:
The impulse-momentum theorem says that the impulse J is equal to the change in momentum p.
J = Δp
Explanation:
The attached figure shows data for the cart speed, distance and time.
For low fan speed,
Distance, d = 500 cm
Time, t = 7.4 s
Average velocity,
![v=\dfrac{d}{t}\\\\v=\dfrac{500}{7.4}\\\\v=67.56\ cm/s](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bd%7D%7Bt%7D%5C%5C%5C%5Cv%3D%5Cdfrac%7B500%7D%7B7.4%7D%5C%5C%5C%5Cv%3D67.56%5C%20cm%2Fs)
Acceleration,
![a=\dfrac{v}{t}\\\\a=\dfrac{67.56}{7.4}\\\\a=9.12\ cm/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bv%7D%7Bt%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B67.56%7D%7B7.4%7D%5C%5C%5C%5Ca%3D9.12%5C%20cm%2Fs%5E2)
For medium fan speed,
Distance, d = 500 cm
Time, t = 6.4 s
Average velocity,
![v=\dfrac{d}{t}\\\\v=\dfrac{500}{6.4}\\\\v=78.12\ cm/s](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bd%7D%7Bt%7D%5C%5C%5C%5Cv%3D%5Cdfrac%7B500%7D%7B6.4%7D%5C%5C%5C%5Cv%3D78.12%5C%20cm%2Fs)
Acceleration,
![a=\dfrac{v}{t}\\\\a=\dfrac{78.12}{6.4}\\\\a=12.2\ cm/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bv%7D%7Bt%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B78.12%7D%7B6.4%7D%5C%5C%5C%5Ca%3D12.2%5C%20cm%2Fs%5E2)
For high fan speed,
Distance, d = 500 cm
Time, t = 5.6 s
Average velocity,
![v=\dfrac{d}{t}\\\\v=\dfrac{500}{5.6}\\\\v=89.28\ cm/s](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7Bd%7D%7Bt%7D%5C%5C%5C%5Cv%3D%5Cdfrac%7B500%7D%7B5.6%7D%5C%5C%5C%5Cv%3D89.28%5C%20cm%2Fs)
Acceleration,
![a=\dfrac{v}{t}\\\\a=\dfrac{89.28}{5.6}\\\\a=15.94\ cm/s^2](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7Bv%7D%7Bt%7D%5C%5C%5C%5Ca%3D%5Cdfrac%7B89.28%7D%7B5.6%7D%5C%5C%5C%5Ca%3D15.94%5C%20cm%2Fs%5E2)
Hence, this is the required solution.
Answer:
I belive it would be "C"
Explanation:
If it was any of the other answers "B" it would instantly stop. "A" it would roll forever.
Answer:
The amount of work done required to stretch spring by additional 4 cm is 64 J.
Explanation:
The energy used for stretching spring is given by the relation :
.......(1)
Here k is spring constant and x is the displacement of spring from its equilibrium position.
For stretch spring by 2.0 cm or 0.02 m, we need 8.0 J of energy. Hence, substitute the suitable values in equation (1).
![8 = \frac{1}{2}\timesk\times k \times(0.02)^{2}](https://tex.z-dn.net/?f=8%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimesk%5Ctimes%20k%20%5Ctimes%280.02%29%5E%7B2%7D)
k = 4 x 10⁴ N/m
Energy needed to stretch a spring by 6.0 cm can be determine by the equation (1).
Substitute 0.06 m for x and 4 x 10⁴ N/m for k in equation (1).
![E = \frac{1}{2}\times4\times10^{4}\times (0.06)^{2}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes4%5Ctimes10%5E%7B4%7D%5Ctimes%20%280.06%29%5E%7B2%7D)
E = 72 J
But we already have 8.0 J. So, the extra energy needed to stretch spring by additional 4 cm is :
E = ( 72 - 8 ) J = 64 J
Answer:
Greater than
Explanation:
The Wavelength will be higher than what will be heard without any motion on the boat due to the Doppler Effect, which is the change in the frequency of a sound wave whenever there's a relative motion between the source of the wave and observer. The amount of shift in frequency depends on the speed of the source towards the observer; the higher the velocity of the source, the higher the shift.