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We have all the charges for q1, q2, and q3.
Since k = 8.988x10^2, and N=m^2/c^2
F(1) = F (2on1) + F (3on1)
F(2on1) = k |q1 q2| / r(the distance between the two)^2
k^ | 3x10^-6 x -5 x 10^-6 | / (.2m)^2
F(2on1) = 3.37 N
Since F1 is 7N,
F(1) = F (2on1) + F (3on1)
7N = 3.37 N + F (3on1)
Since it wil be going in the negative direction,
-7N = 3.37 N + F (3on1)
F(3on1) = -10.37N
F(3on1) = k |q1 q3| / r(the distance between the two)^2
r^2 x F(3on1) = k |q1 q3|
r = sqrt of k |q1 q3| / F(3on1)
= .144 m (distance between q1 and q3)
0 - .144m
So it's located in -.144m
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The boat is moving at 22 m/s while the man is moving at 23.1 m/s.
That means the man, relative to the boat, is moving at 23.1-22 = 1.1 m/s.
v =d/t, so t = d/v --> t = 3/1.1 = 2.7 s
Answer:
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The development of SI unit has helped in the sharing of scientific as well as techical information internationally.
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Kinetic energy lost in collision is 10 J.
<u>Explanation:</u>
Given,
Mass,
= 4 kg
Speed,
= 5 m/s
= 1 kg
= 0
Speed after collision = 4 m/s
Kinetic energy lost, K×E = ?
During collision, momentum is conserved.
Before collision, the kinetic energy is
![\frac{1}{2} m1 (v1)^2 + \frac{1}{2} m2(v2)^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20m1%20%28v1%29%5E2%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20m2%28v2%29%5E2)
By plugging in the values we get,
![KE = \frac{1}{2} * 4 * (5)^2 + \frac{1}{2} * 1 * (0)^2\\\\KE = \frac{1}{2} * 4 * 25 + 0\\\\](https://tex.z-dn.net/?f=KE%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%204%20%2A%20%285%29%5E2%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%2A%201%20%2A%20%280%29%5E2%5C%5C%5C%5CKE%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%204%20%2A%2025%20%2B%200%5C%5C%5C%5C)
K×E = 50 J
Therefore, kinetic energy before collision is 50 J
Kinetic energy after collision:
![KE = \frac{1}{2} (4 + 1) * (4)^2 + KE(lost)](https://tex.z-dn.net/?f=KE%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%284%20%2B%201%29%20%2A%20%284%29%5E2%20%2B%20KE%28lost%29)
![KE = 40J + KE(lost)](https://tex.z-dn.net/?f=KE%20%3D%2040J%20%2B%20KE%28lost%29)
Since,
Initial Kinetic energy = Final kinetic energy
50 J = 40 J + K×E(lost)
K×E(lost) = 50 J - 40 J
K×E(lost) = 10 J
Therefore, kinetic energy lost in collision is 10 J.