Runner 2 sees Runner 1 passing him with a velocity of 17 m/s west.
It is B because the other ones are good.
Answer:
1. ![t_2 = 2t_1](https://tex.z-dn.net/?f=t_2%20%3D%202t_1)
2. ![t_2 = t_1\sqrt{2}](https://tex.z-dn.net/?f=t_2%20%3D%20t_1%5Csqrt%7B2%7D)
Explanation:
1. According to Newton's law of motion, the puck motion is affected by the acceleration, which is generated by the push force F.
In Newton's 2nd law: F = ma
where m is the mass of the object and a is the resulted acceleration. So in the 2nd experiment, if we double the mass, a would be reduced by half.
![a_1 = 2a_2](https://tex.z-dn.net/?f=a_1%20%3D%202a_2)
Since the puck start from rest, in the 1st experiment, to achieve speed of v it would take t time
![t = v / a_1](https://tex.z-dn.net/?f=t%20%3D%20v%20%2F%20a_1)
Now that acceleration is halved:
![t = \frac{v}{2a_2}](https://tex.z-dn.net/?f=%20t%20%3D%20%5Cfrac%7Bv%7D%7B2a_2%7D)
![\frac{v}{a_2} = 2t](https://tex.z-dn.net/?f=%20%5Cfrac%7Bv%7D%7Ba_2%7D%20%3D%202t)
You would need to push for twice amount of time ![t_2 = 2t_1](https://tex.z-dn.net/?f=t_2%20%3D%202t_1)
2. The distance traveled by the puck is as the following equation:
![d = at^2](https://tex.z-dn.net/?f=d%20%3D%20at%5E2)
So if the acceleration is halved while maintaining the same d:
![\frac{d_1}{d_2} = \frac{a_1t_1^2/2}{a_2t_2^2/2}](https://tex.z-dn.net/?f=%5Cfrac%7Bd_1%7D%7Bd_2%7D%20%3D%20%5Cfrac%7Ba_1t_1%5E2%2F2%7D%7Ba_2t_2%5E2%2F2%7D)
As
, then
. Also ![a_1 = 2a_2](https://tex.z-dn.net/?f=a_1%20%3D%202a_2)
![1 = \frac{2a_2t_1^2}{a_2t_2^2}](https://tex.z-dn.net/?f=1%20%3D%20%5Cfrac%7B2a_2t_1%5E2%7D%7Ba_2t_2%5E2%7D)
![t_2^2 = 2t_1^2](https://tex.z-dn.net/?f=%20t_2%5E2%20%3D%202t_1%5E2)
![t_2 = t_1\sqrt{2}\approx 1.14t_1](https://tex.z-dn.net/?f=t_2%20%3D%20t_1%5Csqrt%7B2%7D%5Capprox%201.14t_1)
So t increased by 1.14
Answer:
Velocity is the rate of motion in a specific direction. ... My velocity is 30 kilometers per hour that-a-way. Average speed is described as a measure of distance divided by time. Velocity can be constant, or it can change (acceleration).
Explanation:
Velocity is the rate of motion in a specific direction. ... My velocity is 30 kilometers per hour that-a-way. Average speed is described as a measure of distance divided by time. Velocity can be constant, or it can change (acceleration).
Answer:
The magnitude of magnetic field at given point =
×
T
Explanation:
Given :
Current passing through both wires = 5.0 A
Separation between both wires = 8.0 cm
We have to find magnetic field at a point which is 5 cm from any of wires.
From biot savert law,
We know the magnetic field due to long parallel wires.
⇒ ![B = \frac{\mu_{0}i }{2\pi R}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B%5Cmu_%7B0%7Di%20%7D%7B2%5Cpi%20R%7D)
Where
magnetic field due to long wires,
,
perpendicular distance from wire to given point
From any one wire
5 cm,
3 cm
so we write,
∴ ![B = B_{1} + B_{2}](https://tex.z-dn.net/?f=B%20%3D%20B_%7B1%7D%20%2B%20B_%7B2%7D)
![B = \frac{\mu_{0} i}{2\pi R_{1} } + \frac{\mu_{0} i}{2\pi R_{2} }](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B%5Cmu_%7B0%7D%20i%7D%7B2%5Cpi%20R_%7B1%7D%20%7D%20%2B%20%20%5Cfrac%7B%5Cmu_%7B0%7D%20i%7D%7B2%5Cpi%20R_%7B2%7D%20%7D)
![B =\frac{ 4\pi \times10^{-7} \times5}{2\pi } [\frac{1}{0.03} + \frac{1}{0.05} ]](https://tex.z-dn.net/?f=B%20%3D%5Cfrac%7B%204%5Cpi%20%5Ctimes10%5E%7B-7%7D%20%5Ctimes5%7D%7B2%5Cpi%20%7D%20%5B%5Cfrac%7B1%7D%7B0.03%7D%20%2B%20%5Cfrac%7B1%7D%7B0.05%7D%20%5D)
![B = 5.33\times10^{-5} T](https://tex.z-dn.net/?f=B%20%3D%205.33%5Ctimes10%5E%7B-5%7D%20%20T)
Therefore, the magnitude of magnetic field at given point = ![5.33\times10^{-5} T](https://tex.z-dn.net/?f=5.33%5Ctimes10%5E%7B-5%7D%20T)