Answer:
The mass's acceleration is 5 m/s^2 in the minus X direction and 9,8 m/s^2 in the minus Y direction.
Explanation:
By applying the second Newton's law in the X and Y direction we found that in the minus X direction an external force of 10 N is exerted, while in the minus Y direction the gravity acceleration is acting:
X-direction balance force:
Y-direction balance force:
Where ax and ay are the components of the respective acceleration and m is the mass. By solving for each acceleration:
Note that for the second equation above the mass is cancelled and, the Y direction acceleration is minus the gravity acceleration:
For the x component aceleration we must replace the Newton unit:
![ax= - 5 \frac{m}{s^2}](https://tex.z-dn.net/?f=ax%3D%20-%205%20%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%20)
Answer:
Explanation:
For sound level in decibel scale the relation is
dB = 10 log I / I₀ where I₀ = 10⁻¹² and I is intensity of sound whose decibel scale is to be calculated .
Putting the given values
61 = 10 log I / 10⁻¹²
log I / 10⁻¹² = 6.1
I = 10⁻¹² x 10⁶°¹
![=10^{-5.9}](https://tex.z-dn.net/?f=%3D10%5E%7B-5.9%7D)
intensity of sound of 5 persons
![I=5\times 10^{-5.9}](https://tex.z-dn.net/?f=I%3D5%5Ctimes%2010%5E%7B-5.9%7D)
![dB=10log\frac{5 X 10^{-5.9}}{10^{-12}}](https://tex.z-dn.net/?f=dB%3D10log%5Cfrac%7B5%20X%2010%5E%7B-5.9%7D%7D%7B10%5E%7B-12%7D%7D)
= 10log 5 x 10⁶°¹
= 10( 6.1 + log 5 )
= 67.98
sound level will be 67.98 dB .
Answer:
Increase his activity and exercise levels and add more calories to gradually gain weight
Explanation:
Magnitude of displacement = ![\sqrt{640^2 + 340^2}](https://tex.z-dn.net/?f=%5Csqrt%7B640%5E2%20%2B%20340%5E2%7D)
Adding the squares gives displacement = ![\sqrt{525,200}](https://tex.z-dn.net/?f=%5Csqrt%7B525%2C200%7D)
Displacement =
≈ 724.7m