(a) -4667 N
First of all, we can calculate the acceleration of the arm and the glove, using the following equation:
![v^2 - u^2 = 2ad](https://tex.z-dn.net/?f=v%5E2%20-%20u%5E2%20%3D%202ad)
where
v = 0 is the final speed
u = 10 m/s is the initial speed
a is the acceleration
d = 7.50 cm = 0.075 m is the distance through which the arm and the glove move before coming to a stop
Solving for a,
![a=\frac{v^2-u^2}{2d}=\frac{0-(10.0 m/s)^2}{2(0.075 m)}=-666.7 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv%5E2-u%5E2%7D%7B2d%7D%3D%5Cfrac%7B0-%2810.0%20m%2Fs%29%5E2%7D%7B2%280.075%20m%29%7D%3D-666.7%20m%2Fs%5E2)
And since the know the mass of the arm+glove:
m = 7.00 kg
We can now calculate the force exerted:
![F=ma=(7.00 kg)(-666.7 N)=-4,667 N](https://tex.z-dn.net/?f=F%3Dma%3D%287.00%20kg%29%28-666.7%20N%29%3D-4%2C667%20N)
(b) -17500 N
We can repeat the problem, but this time the stopping distance is different:
d = 2.00 cm = 0.02 m
So the acceleration is
![a=\frac{v^2-u^2}{2d}=\frac{0-(10.0 m/s)^2}{2(0.02 m)}=-2500 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv%5E2-u%5E2%7D%7B2d%7D%3D%5Cfrac%7B0-%2810.0%20m%2Fs%29%5E2%7D%7B2%280.02%20m%29%7D%3D-2500%20m%2Fs%5E2)
and so the force is
![F=ma=(7.00 kg)(-2500 m/s^2)=-17,500 N](https://tex.z-dn.net/?f=F%3Dma%3D%287.00%20kg%29%28-2500%20m%2Fs%5E2%29%3D-17%2C500%20N)
(c) Yes
The force exerted when the glove is used is
F = 4667 N
We see that this force corresponds approximately to the weight of an object of mass m=476 kg, in fact:
![W=mg=(476 kg)(9.81 m/s^2)=4670 N](https://tex.z-dn.net/?f=W%3Dmg%3D%28476%20kg%29%289.81%20m%2Fs%5E2%29%3D4670%20N)
Which is quite a lot. Therefore, the force even when gloves are used seems enough to cause damage.
Answer: In the 5th dimension, they who claim to know, say that there is only one time, including the past and the future.
Answer:
Explanation:
Sphere B and sphere A are touching so they will act as a single body . A positively charged sphere C is brought near sphere B . So there will be induction of charge on sphere B and sphere A . Opposite charge will be induced on nearer sphere and same charge will be induced on distant sphere . Hence sphere B will be negatively charged and sphere A will be positively charged. The amount of charge induced on sphere B and A will be same and it will remain as long as sphere C is kept near sphere B . As soon as sphere C is removed , induced charges will also neutralize each other .
Simplicity of conducting the study is to archival research; as ability to test large numbers participants is to survey.
Ha it’s not spring break yet for me but if it is for you I hope you have a good spring break as well :)