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drek231 [11]
3 years ago
13

11) An airplane is moving at a net force of zero. This means the airplane is

Physics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

D. moving slow at a constant speed and traveling along a straight line

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A pendulum is raised 1.5 cm and allowed to fall. if air resistance is negligible, how high will the pendulum rise on the other s
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compute the electric field experienced by a test a charge q = +0.08µC from a source charge q = +15µC in a vacuum when the test c
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Three point charges have equal magnitudes, two being positive and one negative. These charges are fixed to the corners of an equ
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Answer:

The magnitude of the force on positive charges will be \bf{227.06~N} and the magnitude of the force on the negative charge is \bf{302.7~N}.

Explanation:

Given:

The value of the charges, q = 3.5~\mu C.

The length of each side of the triangle, l = 2.9~cm.

Consider a equilateral triangle \bigtriangleup ABC, as shown in the figure. Let two point charges of magnitude q are situated at points A and B and another point charge -q is situated at point C.

The value of the force on the charge at point A due to charge at point C is given by

F_{CA} = \dfrac{kq^{2}}{l^{2}},~~along~CA

The value of the force on the charge at point A due to charge at point B is given by

F_{BA} = \dfrac{kq^{2}}{l^{2}},~~along~BA

The net resultant force on the charge at point A is given by

~~~~F_{A} = \sqrt{F_{BA}^{2} + F_{CA}^{2} + 2F_{BA}F_{CA}\cos 60^{0}}\\~~~~~= \dfrac{kq^{2}}{l^{2}}\sqrt{2(1 + \cos 60^{0})}\\or, F_{A}= \dfrac{\sqrt{3}kq^{2}}{l^{2}}~~~~~~~~~~~~~~~~~~~~(1)

The value of the force on the charge at point B due to charge at point C is given by

F_{CB} = \dfrac{kq^{2}}{l^{2}},~~along~CB

The value of the force on the charge at point B due to charge at point A is given by

F_{AB} = \dfrac{kq^{2}}{l^{2}},~~along~AB

The net resultant force on the charge at point B is given by

~~~~F_{B} = \sqrt{F_{AB}^{2} + F_{CB}^{2} + 2F_{AB}F_{CB}\cos 60^{0}}\\~~~~~= \dfrac{kq^{2}}{l^{2}}\sqrt{2(1 + \cos 60^{0})}\\or, F_{B}= \dfrac{\sqrt{3}kq^{2}}{l^{2}}~~~~~~~~~~~~~~~~~~~~(2)

The value of the force on the charge at point C due to charge at point A is given by

F_{AC} = \dfrac{kq^{2}}{l^{2}},~~along~AC

The value of the force on the charge at point C due to charge at point B is given by

F_{BC} = \dfrac{kq^{2}}{l^{2}},~~along~BC

The net resultant force on the charge at point C is given by

F_{C} = 2F_{BC} \sin 60^{0}~~along~the~line~perpendicular~to~AB\\~~~~~= \dfrac{2kq^{2}}{l^{2}}\sin 60^{0}~~~~~~~~~~~~~~~~~~~~(3)

Substitute 3.5~\mu C for  q , 0.029~m for  l  and 9 \times 10^{9}~Nm^{2}C^{-2} for k in equation (1), we have

F_{A} = \dfrac{\sqrt{3}(9 \times 10^{9}~Nm^{2}C^{-2})(3.5 \times 10^{-6}~C)^{2}}{(0.029~m)^{2}}\\~~~~~= 227.06~N

Substitute 3.5~\mu C for  q , 0.029~m for  l  and 9 \times 10^{9}~Nm^{2}C^{-2} for k in equation (2), we have

F_{B} = \dfrac{\sqrt{3}(9 \times 10^{9}~Nm^{2}C^{-2})(3.5 \times 10^{-6}~C)^{2}}{(0.029~m)^{2}}\\~~~~~= 227.06~N

Substitute 3.5~\mu C for  q , 0.029~m for  l  and 9 \times 10^{9}~Nm^{2}C^{-2} for k in equation (3), we have

F_{C} = \dfrac{2(9 \times 10^{9}~Nm^{2}C^{-2})(3.5 \times 10^{-6}~C)^{2}}{(0.029~m)^{2}} \sin 60^{0}\\~~~~~= 302.7~N

8 0
3 years ago
What is the horizontal acceleration of a ball that is launched horizontally with a velocity of 5.6 m/s?
pochemuha
Once it leaves the bat, the club, or the hand, there is no
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