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Bumek [7]
3 years ago
15

A triangle with equal sides of length 14 cm has -2.5-nC charged objects at each corner. Determine the direction of the electrica

l force exerted on the object at the top corner due to the two objects at the horizontal base of the triangle.
(A) vertically down
(B) Vertically upward
(C) horizontally rightward
(D) horizontally leftward
Physics
1 answer:
Galina-37 [17]3 years ago
6 0

Answer:

(B) Vertically upward

Explanation:

r = Side of triangle = 14 cm

q = Charge = -2.5 nC

Electrical force is given by

F=\dfrac{kq_1q_2}{r^2}\\\Rightarrow F=\dfrac{8.99\times 10^9\times (2.5\times 10^{-9})^2}{0.14^2}\\\Rightarrow F=2.86671\times 10^{-6}\ N

For the top charge

Net force on both charges is given by

F_n=2Fcos\theta\\\Rightarrow F_n=2\times 2.86671\times 10^{-6}\times cos30\\\Rightarrow F_n=4.96529\times 10^{-6}\ N

The net force acting on the top charge is 4.96529\times 10^{-6}\ N

Here the forces are symmetrical hence, the net force is along +y axis i.e., upward

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Explanation:

a) The kinetic energy K of an object is given by:

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b) Now, according to the Conservation of Energy Law, the total initial energy is equal to the total final energy:

E_{i}=E_{f}

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Where:

K_{i}=5400000 J is the train's initial kinetic energy

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P_{f}=mgh is the train's final potential energy, where g=9.8 m/s^{2} is the acceleration due gravity and h is the height.

Rewriting the equation with the given values:

5400000 J=(12000 kg)(9.8 m/s^{2})h

Finding h:

h=45.918 m \approx 45.92 m

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