4. A long time ago, in a galaxy far far away, a Death Star was constructed....
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4. A long time ago, in a galaxy far far away, a Death Star was constructed. Its surrounding force field caused a particle at distance r relative to the Death Star to experience an acceleration r = xr where is a constant. Show that particles move in this field with constant speed. Show, moreover, that the magnitude of acceleration is also constant. (a) A particle is projected radially with speed v from a point r = Rr on the surface of the Death Star. Show that its trajectory is given by r = (vt + R) (b) By considering the second derivative of rr show that, for any particle moving in the force field, the distance r to the centre of the Death Star is given by r = v (t to) + r where to and ro are constants and v is the speed of the particle. Obtain an expression for r r and show that |r| = Avro. 4. A long time ago, in a galaxy far far away, a Death Star was constructed. Its surrounding force field caused a particle at distance r relative to the Death Star to experience an acceleration r = xr where is a constant. Show that particles move in this field with constant speed. Show, moreover, that the magnitude of acceleration is also constant. (a) A particle is projected radially with speed v from a point r = Rr on the surface of the Death Star. Show that its trajectory is given by r = (vt + R) (b) By considering the second derivative of rr show that, for any particle moving in the force field, the distance r to the centre of the Death Star is given by r = v (t to) + r where to and ro are constants and v is the speed of the particle. Obtain an expression for r r and show that |r| = Avro.
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To show that particles move in the given force field with constant speed we first need to express the acceleration in terms of the velocity vector Giv... View the full answer
Related Book For
Fundamentals of Physics
ISBN: 978-0471758013
8th Extended edition
Authors: Jearl Walker, Halliday Resnick
Posted Date:
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