The first rule of vectors is that the horizontal and vertical components are separate. Disregarding air resistance, the only thing we have to worry about is gravity.
The appropriate suvat to use for the vertical component is v = u +at
I will take a to be -9.81, you may have to change it to be 10 if your qualification likes g to be 10.
v = 30 + (-9.81x2)
v = 30 - 19.62
=10.38m/s
Therefore we know that after 2.0 s the vertical component will be 10.38ms^-1, ie 10m/s as the answers given are all to 2sf.
The horizontal component is completely separate to the vertical component and since there is no air resistance, it will remain constant throughout the projectiles trajectory. Therefore it will remain at 40ms^-1.
Combining this together we get:
(1) vx=40m/s and vy=10m/s
Answer:
Entonces seria 127 para vencer.
Explanation:
espero averte ayudado:-)
According to the description given in the photo, the attached figure represents the problem graphically for the Atwood machine.
To solve this problem we must apply the concept related to the conservation of energy theorem.
PART A ) For energy conservation the initial kinetic and potential energy will be the same as the final kinetic and potential energy, so
![E_i = E_f](https://tex.z-dn.net/?f=E_i%20%3D%20E_f)
![0 = \frac{1}{2} (m_1+m_2)v_f^2-m_2gh+m_1gh](https://tex.z-dn.net/?f=0%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28m_1%2Bm_2%29v_f%5E2-m_2gh%2Bm_1gh)
![v_f = \sqrt{2gh(\frac{m_2-m_1}{m_1+m_2})}](https://tex.z-dn.net/?f=v_f%20%3D%20%5Csqrt%7B2gh%28%5Cfrac%7Bm_2-m_1%7D%7Bm_1%2Bm_2%7D%29%7D)
PART B) Replacing the values given as,
![h= 1.7m\\m_1 = 3.5kg\\m_2 = 4.3kg \\g = 9.8m/s^2 \\](https://tex.z-dn.net/?f=h%3D%201.7m%5C%5Cm_1%20%3D%203.5kg%5C%5Cm_2%20%3D%204.3kg%20%5C%5Cg%20%3D%209.8m%2Fs%5E2%20%5C%5C)
![v_f = \sqrt{2gh(\frac{m_2-m_1}{m_1+m_2})}](https://tex.z-dn.net/?f=v_f%20%3D%20%5Csqrt%7B2gh%28%5Cfrac%7Bm_2-m_1%7D%7Bm_1%2Bm_2%7D%29%7D)
![v_f = \sqrt{2(9.8)(1.7)(\frac{4.3-3.5}{3.5+4.3})}](https://tex.z-dn.net/?f=v_f%20%3D%20%5Csqrt%7B2%289.8%29%281.7%29%28%5Cfrac%7B4.3-3.5%7D%7B3.5%2B4.3%7D%29%7D)
![v_f = 1.8486m/s](https://tex.z-dn.net/?f=v_f%20%3D%201.8486m%2Fs)
Therefore the speed of the masses would be 1.8486m/s
Answer: The coefficient of static friction is 3.85 and The coefficient of kinetic friction is 2.8
Explanation:
in the attachment
Explanation:
Pressure = force / area
P = 55 N / (0.55 m × 0.45 m)
P = 220 Pa