<span>The initial velocity of the bike was 1.67 (vf)m/s. This is found by evaluating 7.5/4.5 which yields the velocity per unit of time which is equivalent to initial velocity.</span>
Explanation:
where is the question
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Answer:
If the avg speed is 10mi/h and you want to know how long it will take to run 2.5mi/h you put that as a ratio 2.5/10 which is 1/4 of an hour so it will take 15 minutes to run 2.5 miles
Explanation:
Answer:
0.78333 m/s in the opposite direction
1.566 m/s in the same direction
Explanation:
= Mass of penny = 0.0025 kg
= Mass of nickel = 0.005 kg
= Initial Velocity of penny = 2.35 m/s
= Initial Velocity of nickel = 0 m/s
= Final Velocity of penny
= Final Velocity of nickel
As momentum and Energy is conserved
![m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}](https://tex.z-dn.net/?f=m_%7B1%7Du_%7B1%7D%2Bm_%7B2%7Du_%7B2%7D%3Dm_%7B1%7Dv_%7B1%7D%2Bm_%7B2%7Dv_%7B2%7D)
![{\tfrac {1}{2}}m_{1}u_{1}^{2}+{\tfrac {1}{2}}m_{2}u_{2}^{2}={\tfrac {1}{2}}m_{1}v_{1}^{2}+{\tfrac {1}{2}}m_{2}v_{2}^{2}](https://tex.z-dn.net/?f=%7B%5Ctfrac%20%7B1%7D%7B2%7D%7Dm_%7B1%7Du_%7B1%7D%5E%7B2%7D%2B%7B%5Ctfrac%20%7B1%7D%7B2%7D%7Dm_%7B2%7Du_%7B2%7D%5E%7B2%7D%3D%7B%5Ctfrac%20%7B1%7D%7B2%7D%7Dm_%7B1%7Dv_%7B1%7D%5E%7B2%7D%2B%7B%5Ctfrac%20%7B1%7D%7B2%7D%7Dm_%7B2%7Dv_%7B2%7D%5E%7B2%7D)
From the two equations we get
![v_{1}=\frac{m_1-m_2}{m_1+m_2}u_{1}+\frac{2m_2}{m_1+m_2}u_2\\\Rightarrow v_1=\frac{0.0025-0.005}{0.0025+0.005}\times 2.35+\frac{2\times 0.5}{0.4005+0.5}\times 0\\\Rightarrow v_1=-0.78333\ m/s](https://tex.z-dn.net/?f=v_%7B1%7D%3D%5Cfrac%7Bm_1-m_2%7D%7Bm_1%2Bm_2%7Du_%7B1%7D%2B%5Cfrac%7B2m_2%7D%7Bm_1%2Bm_2%7Du_2%5C%5C%5CRightarrow%20v_1%3D%5Cfrac%7B0.0025-0.005%7D%7B0.0025%2B0.005%7D%5Ctimes%202.35%2B%5Cfrac%7B2%5Ctimes%200.5%7D%7B0.4005%2B0.5%7D%5Ctimes%200%5C%5C%5CRightarrow%20v_1%3D-0.78333%5C%20m%2Fs)
The final velocity of the penny is 0.78333 m/s in the opposite direction
![v_{2}=\frac{2m_1}{m_1+m_2}u_{1}+\frac{m_2-m_1}{m_1+m_2}u_2\\\Rightarrow v_2=\frac{2\times 0.0025}{0.0025+0.005}\times 2.35+\frac{0.005-0.0025}{0.005+0.0025}\times 0\\\Rightarrow v_2=1.566\ m/s](https://tex.z-dn.net/?f=v_%7B2%7D%3D%5Cfrac%7B2m_1%7D%7Bm_1%2Bm_2%7Du_%7B1%7D%2B%5Cfrac%7Bm_2-m_1%7D%7Bm_1%2Bm_2%7Du_2%5C%5C%5CRightarrow%20v_2%3D%5Cfrac%7B2%5Ctimes%200.0025%7D%7B0.0025%2B0.005%7D%5Ctimes%202.35%2B%5Cfrac%7B0.005-0.0025%7D%7B0.005%2B0.0025%7D%5Ctimes%200%5C%5C%5CRightarrow%20v_2%3D1.566%5C%20m%2Fs)
The final velocity of the nickel is 1.566 m/s in the same direction
The type of pollution when small particles of soil are suspended in the water is called Suspended Matter Pollution. <span>This type of pollution happens when soil enter the water and do not mix in with the water molecules.</span>