In the equation, y = A sin( wt - kx ), obtain the dimensional formula ' w ' and ' k.
1 answer:
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Answer:
The change in potential energy is
Explanation:
From the question we are told that
The magnitude of the uniform electric field is
The distance traveled by the electron is
Generally the force on this electron is mathematically represented as
Where F is the force and q is the charge on the electron which is a constant value of
Thus
Generally the work energy theorem can be mathematically represented as
Where W is the workdone on the electron by the Electric field and is the change in kinetic energy
Also workdone on the electron can also be represented as
Where considering that the movement of the electron is along the x-axis
So
substituting values
Now From the law of energy conservation
Where is the change in potential energy
Thus
(a) 0.8 m/s^2
The force exerted on the sled is F = 4.0 N. We can calculate the acceleration of the sled by using Newton's second law:
where
m = 5.0 kg is the mass of the sled
a is the acceleration of the sled
Solving the equation for a, we find:
(b) 0.098 m/s^2
According to Newton's third law (action-reaction law), since the girl exerts a force on the sled, then the sled exerts an equal and opposite force on the girl as well. This means that the force exerted on the girl is also F = 4.0 N. As before, we can calculate the acceleration of the girl by using Newton's second law:
where
m = 41 kg is the mass of the girl
a is the acceleration of the girl
Solving the equation for a, we find:
(c) 5.8 s
Taking the initial position of the girl as x = 0, the position at time t of the girl is given by:
where is the acceleration of the girl.
The sled starts instead its motion from x = 15 m, so its position at time t is given by
where is the acceleration of the sled, and the negative sign is due to the fact that the sled accelerates in opposite direction to the girl's acceleration.
The girl and the sled meet when x(t) = x'(t). So, we find: