Answer:
![v_{1}=1.886 \frac{m}{s}](https://tex.z-dn.net/?f=v_%7B1%7D%3D1.886%20%5Cfrac%7Bm%7D%7Bs%7D)
β= 57.99 south of east
Explanation:
?
Velocity in axis x the two balls come one from east and west
![m_{1}*v_{1x}+m_{2}*v_{2x}=m_{1}*v_{fx1}+m_{2}*v_{fx2}\\m*(v_{1x}+v_{2x})=m*(v_{fx1}+v_{fx2})\\v_{fx2}=0\\v_{1x}+v_{2}=v_{f1}+0\\v_{fx1}=2.2 \frac{m}{s}+(1.2\frac{m}{s})\\ v_{fx1}=1 \frac{m}{s} \\](https://tex.z-dn.net/?f=m_%7B1%7D%2Av_%7B1x%7D%2Bm_%7B2%7D%2Av_%7B2x%7D%3Dm_%7B1%7D%2Av_%7Bfx1%7D%2Bm_%7B2%7D%2Av_%7Bfx2%7D%5C%5Cm%2A%28v_%7B1x%7D%2Bv_%7B2x%7D%29%3Dm%2A%28v_%7Bfx1%7D%2Bv_%7Bfx2%7D%29%5C%5Cv_%7Bfx2%7D%3D0%5C%5Cv_%7B1x%7D%2Bv_%7B2%7D%3Dv_%7Bf1%7D%2B0%5C%5Cv_%7Bfx1%7D%3D2.2%20%5Cfrac%7Bm%7D%7Bs%7D%2B%281.2%5Cfrac%7Bm%7D%7Bs%7D%29%5C%5C%20%20v_%7Bfx1%7D%3D1%20%5Cfrac%7Bm%7D%7Bs%7D%20%5C%5C)
Velocity in axis y initial is zero so:
![v_{y1}+v_{y2}=v_{y1f}+v_{y2f}\\v_{y1}=0\\v_{y2}=0\\v_{y1f}+v_{y2f}=0\\v_{y1f}=-v_{y2f}\\v_{y2f}=1.6\frac{m}{s}](https://tex.z-dn.net/?f=v_%7By1%7D%2Bv_%7By2%7D%3Dv_%7By1f%7D%2Bv_%7By2f%7D%5C%5Cv_%7By1%7D%3D0%5C%5Cv_%7By2%7D%3D0%5C%5Cv_%7By1f%7D%2Bv_%7By2f%7D%3D0%5C%5Cv_%7By1f%7D%3D-v_%7By2f%7D%5C%5Cv_%7By2f%7D%3D1.6%5Cfrac%7Bm%7D%7Bs%7D)
![v=\sqrt{v_{1fx}^{2}+v_{1fy}^{2}}\\ v=\sqrt{1^{2}+1.6^{2}}\\v=1.886 \frac{m}{s}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7Bv_%7B1fx%7D%5E%7B2%7D%2Bv_%7B1fy%7D%5E%7B2%7D%7D%5C%5C%20v%3D%5Csqrt%7B1%5E%7B2%7D%2B1.6%5E%7B2%7D%7D%5C%5Cv%3D1.886%20%5Cfrac%7Bm%7D%7Bs%7D)
Angle is find using:
tan(β)=![\frac{v_{fy}}{v_{fx}}](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7Bfy%7D%7D%7Bv_%7Bfx%7D%7D)
![\beta =tan^{-1}*\frac{1.6}{1}=57.99](https://tex.z-dn.net/?f=%5Cbeta%20%3Dtan%5E%7B-1%7D%2A%5Cfrac%7B1.6%7D%7B1%7D%3D57.99)
A) Because the 2 missing electrons leave 2 protons without counterpart (the neutrons don;t matter at all here)
The diagram shows a simple electric generator. The needle that measures electric current will move back and forth between a largely positive and a large negative value.
- What is an electric generator?
- An electric generator is physically equivalent to an electric motor. but it converts mechanical energy into electrical energy.
- The electrical field generated is dependent on the inclination of the wire with respect to magnetic field lines, and this inclination changes over time,
because of that she will experience a varying electrical field, and thus a varying electric current will be zero.
The maximum positive value will occur when the wire is perpendicular to the magnetic field lines after one-fourth of rotation, and then zero.
Hence option C is correct.
The diagram shows a simple electric generator. The needle that measures electric current will move back and forth between a largely positive and a large negative value.
Learn more about electric generator here:
<u>brainly.com/question/12296668</u>
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Pressure is define as force per unit area. Mathematically expressed as,
P=F/A.
We are given, a mass of the ball equal to
m=1.6kg and an Area of 1.1cm2=1.1(
![1x10^{4}](https://tex.z-dn.net/?f=%201x10%5E%7B4%7D%20)
)m2
To calculate for the force exerted by the finger to the ball, it is simply equal to the weight of the ball. Mathematically,
F=W
Weight of the ball can be calculated as,
W= ma
where m=mass of the object and a is the acceleration due to gravity (9.8m/s).
Then, the Weight of the ball which is equalt to the force exerted by the finger,
W=F=(1.6 kg x 9.81)=15.696 N
Then Pressure would be,
P=(15.696N/1.1(.1(
![1x10^{4}](https://tex.z-dn.net/?f=%201x10%5E%7B4%7D%20)
)m2))
P=
142690.91 N/m2=142690.91 Pa
Energy remains constant, so it doesn't change, which means it is conserved. The answer is a, the law of energy conservation.