Answer:
If you use the same force to push a truck and a car, the car will have more acceleration than the truck because the car has less mass.
It is easier to push an empty shopping cart than a full one, because the full shopping cart has more mass than the empty one. This means that more force is required to push the shopping cart.
When a person kicks a ball the person exerts force in a specific direction, that is the direction in which it will travel. In addition to this, the stronger the ball is kicked, the stronger the force we put on it and the further away it will travel.
Suppose two people are walking and among the two people, if one is heavier than the other, then the one weighing heavier will walk slower because the acceleration of the person weighing lighter is greater.
When riding a bicycle, the bicycle acts as mass and our leg muscles pushing on the pedals of the bicycle is the force.
Explanation:
The circuit change when the wire is added will see a short circuit occur and makes bulbs 1 and 2 turn off but keeps bulbs 3 and 4 lit. Option D. This is further explained below.
<h3>
How does the circuit change when the wire is added?</h3>
Generally, Electronic circuits consist of a series of interconnected parts that form a closed loop through which electricity may flow.
In conclusion, If two wires are linked together, a short circuit will develop, cutting power to bulbs 1 and 2. But there is no impact on bulbs 3 and 4. There is no problem with bulbs 3 and 4.
Read more about circuit
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Answer:
Explanation:
Given
altitude of the Plane ![h=6\ miles](https://tex.z-dn.net/?f=h%3D6%5C%20miles)
When Airplane is
away
Distance is changing at the rate of ![\frac{\mathrm{d} s}{\mathrm{d} t}=290\ mph](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D290%5C%20mph)
From diagram we can write as
![h^2+x^2=s^2](https://tex.z-dn.net/?f=h%5E2%2Bx%5E2%3Ds%5E2)
differentiate above equation w.r.t time
![2h\frac{\mathrm{d} h}{\mathrm{d} t}+2x\frac{\mathrm{d} x}{\mathrm{d} t}=2s\frac{\mathrm{d} s}{\mathrm{d} t}](https://tex.z-dn.net/?f=2h%5Cfrac%7B%5Cmathrm%7Bd%7D%20h%7D%7B%5Cmathrm%7Bd%7D%20t%7D%2B2x%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D2s%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
as altitude is not changing therefore ![\frac{\mathrm{d} h}{\mathrm{d} t}=0](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20h%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D0)
![0+x\frac{\mathrm{d} x}{\mathrm{d} t}=s\frac{\mathrm{d} s}{\mathrm{d} t}](https://tex.z-dn.net/?f=0%2Bx%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3Ds%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
at ![s=10\ miles\ and\ h=6\ miles](https://tex.z-dn.net/?f=s%3D10%5C%20miles%5C%20and%5C%20h%3D6%5C%20miles)
substitute the value we get ![x=\sqrt{10^2-6^2}=8\ miles](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B10%5E2-6%5E2%7D%3D8%5C%20miles)
![8\times \frac{\mathrm{d} x}{\mathrm{d} t}=10\times 290](https://tex.z-dn.net/?f=8%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D10%5Ctimes%20290)
Answer:
Yes
Explanation:
Tube worms are living creatures.
Answer:
The electric flux though each face of the cube is 0.0942 Nm²/C.
Explanation:
The expression for the electric flux through the cuboid is given by:
![\phi_E=E\times A=\frac {q}{\epsilon_0}](https://tex.z-dn.net/?f=%5Cphi_E%3DE%5Ctimes%20A%3D%5Cfrac%20%7Bq%7D%7B%5Cepsilon_0%7D)
Since, area of cuboid = 6a²
![\phi_E=E\times 6a^2=\frac {q}{\epsilon_0}](https://tex.z-dn.net/?f=%5Cphi_E%3DE%5Ctimes%206a%5E2%3D%5Cfrac%20%7Bq%7D%7B%5Cepsilon_0%7D)
Where,
E is the electric field
a is the side of the cuboid
q is the charge
is the constant having value 8.85×10⁻¹² C²/Nm²
Thus, the expression for the electric flux through one face of the cuboid is given by:
![\phi_E=E\times a^2=\frac {q}{6\times \epsilon_0}](https://tex.z-dn.net/?f=%5Cphi_E%3DE%5Ctimes%20a%5E2%3D%5Cfrac%20%7Bq%7D%7B6%5Ctimes%20%5Cepsilon_0%7D)
So,
Given ,
q = 5.0×10⁻¹² C
![\phi_E=\frac {5\times 10^{-12}\ C}{6\times 8.85\times 10^{-12}\ C^2N^{-1}m^{-2}}](https://tex.z-dn.net/?f=%5Cphi_E%3D%5Cfrac%20%7B5%5Ctimes%2010%5E%7B-12%7D%5C%20C%7D%7B6%5Ctimes%208.85%5Ctimes%2010%5E%7B-12%7D%5C%20C%5E2N%5E%7B-1%7Dm%5E%7B-2%7D%7D)
Solving,
<u>The electric flux though each face of the cube is 0.0942 Nm²/C.</u>
<u></u>