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Homework Statement
A particle of mass m moving with velocity v_{1} leaves a halfspace in which its porential energy is a constant U_{1} and enters another in which its potential energy is a different constant U_{2}.
Determine the change in the direction of motion of the particle.
Homework Equations
The porential energy is independent of the coordinates whose axes are parallel to the plane separating the halfspaces. The component of momentum in that plane is therefore conserverd. Denoting by θ_{1} and θ_{2} the angles between the normal to the plane and the velocities v_{1} and v_{2} of the particle before and after passing the plane, we have v_{1}sinθ_{1}=v_{2}sinθ_{2}. The relation between v_{1} and v_{2} is given by the law of conservation of energy, and the result is
The Attempt at a Solution
I have no idea what a situation of the problem is.
Is the situation of the problem this?
If so, is a direction of force vertical to the paper?
And why v_{1}sinθ_{1}=v_{2}sinθ_{2}?
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