You may know linear momentum is given by
P= mass.velocity.
Initially car is moving with some velocity so you know initial momentum of the car. Finally it comes to rest i.e final momentum of the car is 0. According to Newton's second law : Force = change in momentum /time. Applying this you'll get answer as 642840N. Hope it helped you. Revert back to me if you have any questions. Please check out the calculation it might be wrong!
the same with that of products
Explanation:
In a chemical reaction, the total charge of the reactants must be the same with that of products.
Charges must be conserved or balanced in chemical reactions.
- In both acidic and basic/neutral medium electrons are used to balance the charge.
- The appropriate number of electrons is added to the side with a larger charge.
- One electron is used to balance each positive charge.
- This ensures that the sum of charges on both sides the same.
Learn more:
Balanced equation brainly.com/question/5297242
#learnwithBrainly
Answer:
![q=10^{-6}(e^{-4000t}-4e^{-1000t}+3)C](https://tex.z-dn.net/?f=q%3D10%5E%7B-6%7D%28e%5E%7B-4000t%7D-4e%5E%7B-1000t%7D%2B3%29C)
Explanation:
Given that
, we use Kirchhoff's 2nd Law to determine the sum of voltage drop as:
![E(t)=\sum{Voltage \ Drop}\\\\L\frac{d^2q}{dt^2}+R\frac{dq}{dt}+\frac{1}{C}q=E(t)\\\\\\\frac{d^2q}{dt^2}+5000\frac{dq}{dt}+\frac{1}{0.25\times10^{-6}}q=12\\\\\frac{d^2q}{dt^2}+5000\frac{dq}{dt}+4000000q=12\\\\m^2+5000m+4000000=0\\\\(m+4000)(m+1000)=0\\\\m=-4000 \ or \ m=-1000\\\\q_c=c_1e^{-4000t}+c_2e^{-1000t}](https://tex.z-dn.net/?f=E%28t%29%3D%5Csum%7BVoltage%20%5C%20Drop%7D%5C%5C%5C%5CL%5Cfrac%7Bd%5E2q%7D%7Bdt%5E2%7D%2BR%5Cfrac%7Bdq%7D%7Bdt%7D%2B%5Cfrac%7B1%7D%7BC%7Dq%3DE%28t%29%5C%5C%5C%5C%5C%5C%5Cfrac%7Bd%5E2q%7D%7Bdt%5E2%7D%2B5000%5Cfrac%7Bdq%7D%7Bdt%7D%2B%5Cfrac%7B1%7D%7B0.25%5Ctimes10%5E%7B-6%7D%7Dq%3D12%5C%5C%5C%5C%5Cfrac%7Bd%5E2q%7D%7Bdt%5E2%7D%2B5000%5Cfrac%7Bdq%7D%7Bdt%7D%2B4000000q%3D12%5C%5C%5C%5Cm%5E2%2B5000m%2B4000000%3D0%5C%5C%5C%5C%28m%2B4000%29%28m%2B1000%29%3D0%5C%5C%5C%5Cm%3D-4000%20%20%5C%20or%20%5C%20m%3D-1000%5C%5C%5C%5Cq_c%3Dc_1e%5E%7B-4000t%7D%2Bc_2e%5E%7B-1000t%7D)
#To find the particular solution:
![Q(t)=A,\ Q\prime(t)=0,Q\prime \prime(t)=0\\\\0+0+4000000A=12\\\\A=3\times10^{-6}\\\\Q(t)=3\times10^{-6},\\\\q=q_c+Q(t)\\\\q=c_1e^{-4000t}+c_2e^{-1000t}+3\times10^{-6}\\\\q\prime=-4000c_1e^{-4000t}-1000c_2e^{-1000t}\\q\prime(0)=0\\\\-4000c_1-1000c_2=0\\c_1+c_2+3\times10^{-6}=0\\\\#solving \ simultaneously\\\\c_1=10^{-6},c_2=-4\times10^{-6}\\\\q=10^{-6}e^{-4000t}-4\times10^{-6}e^{-1000t}+3\times10^{-6}\\\\q=10^{-6}(e^{-4000t}-4e^{-1000t}+3)C](https://tex.z-dn.net/?f=Q%28t%29%3DA%2C%5C%20Q%5Cprime%28t%29%3D0%2CQ%5Cprime%20%5Cprime%28t%29%3D0%5C%5C%5C%5C0%2B0%2B4000000A%3D12%5C%5C%5C%5CA%3D3%5Ctimes10%5E%7B-6%7D%5C%5C%5C%5CQ%28t%29%3D3%5Ctimes10%5E%7B-6%7D%2C%5C%5C%5C%5Cq%3Dq_c%2BQ%28t%29%5C%5C%5C%5Cq%3Dc_1e%5E%7B-4000t%7D%2Bc_2e%5E%7B-1000t%7D%2B3%5Ctimes10%5E%7B-6%7D%5C%5C%5C%5Cq%5Cprime%3D-4000c_1e%5E%7B-4000t%7D-1000c_2e%5E%7B-1000t%7D%5C%5Cq%5Cprime%280%29%3D0%5C%5C%5C%5C-4000c_1-1000c_2%3D0%5C%5Cc_1%2Bc_2%2B3%5Ctimes10%5E%7B-6%7D%3D0%5C%5C%5C%5C%23solving%20%5C%20simultaneously%5C%5C%5C%5Cc_1%3D10%5E%7B-6%7D%2Cc_2%3D-4%5Ctimes10%5E%7B-6%7D%5C%5C%5C%5Cq%3D10%5E%7B-6%7De%5E%7B-4000t%7D-4%5Ctimes10%5E%7B-6%7De%5E%7B-1000t%7D%2B3%5Ctimes10%5E%7B-6%7D%5C%5C%5C%5Cq%3D10%5E%7B-6%7D%28e%5E%7B-4000t%7D-4e%5E%7B-1000t%7D%2B3%29C)
Hence the charge at any time, t is ![q=10^{-6}(e^{-4000t}-4e^{-1000t}+3)C](https://tex.z-dn.net/?f=q%3D10%5E%7B-6%7D%28e%5E%7B-4000t%7D-4e%5E%7B-1000t%7D%2B3%29C)
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Answer:
Increase
Explanation:
The plane strain fracture toughness of a metal is expected to increase with rising temperature.