Answer:
160 kg
12 m/s
Explanation:
= Mass of first car = 120 kg
= Mass of second car
= Initial Velocity of first car = 14 m/s
= Initial Velocity of second car = 0 m/s
= Final Velocity of first car = -2 m/s
= Final Velocity of second car
For perfectly elastic collision
![m_{1}u_{1}+m_{2}u_{2}=m_{1}v_{1}+m_{2}v_{2}\\\Rightarrow m_2v_2=m_{1}u_{1}+m_{2}u_{2}-m_{1}v_{1}\\\Rightarrow m_2v_2=120\times 14+m_2\times 0-(120\times -2)\\\Rightarrow m_2v_2=1920\\\Rightarrow m_2=\frac{1920}{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%5C%5C%5CRightarrow%20m_2v_2%3Dm_%7B1%7Du_%7B1%7D%2Bm_%7B2%7Du_%7B2%7D-m_%7B1%7Dv_%7B1%7D%5C%5C%5CRightarrow%20m_2v_2%3D120%5Ctimes%2014%2Bm_2%5Ctimes%200-%28120%5Ctimes%20-2%29%5C%5C%5CRightarrow%20m_2v_2%3D1920%5C%5C%5CRightarrow%20m_2%3D%5Cfrac%7B1920%7D%7Bv_2%7D)
Applying in the next equation
![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 120}{120+\frac{1920}{v_2}}\times 14+\frac{m_2-m_1}{m_1+m_2}\times 0\\\Rightarrow \left(120+\frac{1920}{v_2}\right)v_2=3360\\\Rightarrow 120v_2+1920=3360\\\Rightarrow v_2=\frac{3360-1920}{120}\\\Rightarrow v_2=12\ m/s](https://tex.z-dn.net/?f=v_2%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%20120%7D%7B120%2B%5Cfrac%7B1920%7D%7Bv_2%7D%7D%5Ctimes%2014%2B%5Cfrac%7Bm_2-m_1%7D%7Bm_1%2Bm_2%7D%5Ctimes%200%5C%5C%5CRightarrow%20%5Cleft%28120%2B%5Cfrac%7B1920%7D%7Bv_2%7D%5Cright%29v_2%3D3360%5C%5C%5CRightarrow%20120v_2%2B1920%3D3360%5C%5C%5CRightarrow%20v_2%3D%5Cfrac%7B3360-1920%7D%7B120%7D%5C%5C%5CRightarrow%20v_2%3D12%5C%20m%2Fs)
![m_2=\frac{1920}{v_2}\\\Rightarrow m_2=\frac{1920}{12}\\\Rightarrow m_2=160\ kg](https://tex.z-dn.net/?f=m_2%3D%5Cfrac%7B1920%7D%7Bv_2%7D%5C%5C%5CRightarrow%20m_2%3D%5Cfrac%7B1920%7D%7B12%7D%5C%5C%5CRightarrow%20m_2%3D160%5C%20kg)
Mass of second car = 160 kg
Velocity of second car = 12 m/s
Answer:
Explanation:
The magnetic force acting horizontally will deflect the wire by angle φ from the vertical
Let T be the tension
T cosφ = mg
Tsinφ = Magnetic force
Tsinφ = BiL , where B is magnetic field , i is current and L is length of wire
Dividing
Tanφ = BiL / mg
= .055 x 29 x .11 / .010 x 9.8
= 1.79
φ = 61° .
Tension T = mg / cosφ
= .01 x 9.8 / cos61
= .2 N .
<em>Hello there, and thank you for asking your question here on brainly.
<u>Answer: Koala bears are considered herbivores, or as in the scientific name, arboreal herbivorous marsupial, marsupial because it also carries it's babies around in a pouch. Koala bears are also native to Australia, which eucalyptus leaves are also native to.
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Hope this helped you! ♥</em>
The answer would be 4, each kinetic equation has 4 variables