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At time t = 6.5 sec, a particle of mass M = 1.5 kg is at the position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s.
1) Finally a thin rod of mass 7 kg is added between the two particles Since the particles are moving perpendicular to the line separating them and in opposite directions (you should convince yourself that this is true), then the particles + rod system rotates about its center of mass. What the angular frequency of rotation of the rod + particles system? (Note: The particles are moving perpendicular to the line separating them and in opposite directions (you should convince yourself that this is true), then the particles + rod system rotates about its center of mass.)
2) What is the magnitude of the total angular momentum of the system (particles plus rod)?
A parallel plate capacitor has a capacitance of 4.5 µF when filled with a dielectric. The area of each plate is 3.3 m2 and the separation between the plates is 8.00 10-5 m. What is the dielectric constant of the dielectric?
When the centrifuge reaches an angular speed of 2.5 rad/s, the trainee experiences a total acceleration equal to 4.8 times the acceleration due to gravity. Explain how long is the arm of the centrifuge?
A car starts from rest and travels for 10s with a uniform acceleration of +2.4 m/s2. The driver then applies the brakes, causing a uniform negative acceleration of -2.0 m/s2.
Speedboat A negotiates a curve whose radius is 152 m. Speedboat B negotiates a curve whose radius is 204 m. Each boat experiences the same centripetal acceleration. Illustrate what is the ratio vA/vB of the speeds of the boats?
An elastic cord is 69 cm long when a weight of 57 N hangs from it but is 70 cm long when the weight of 75 N hangs from it. What is the "spring" constant k of this elastic cord.
A 480g , 8.00-cm-diameter solid cylinder rolls across the floor at 1.50m/s. What is the can's kinetic energy
An organ pipe is 119 cm long. What are the fundamental and first three audible overtones if the pipe is closed at one end.
Find the change in internal energy using first law of thermodynamics.
A man exerts a 328 N force to move a box across a 3.55-m patch of ice. How much work does he do on the box.
If the loop is placed in a uniform magnetic field of magnitude 0.200 T, illustrate what is the maximum torque that can act on it? The resistivity of copper is 1.7 multiplied by 10-8 · m.
The magnitude of the air resistance that opposes its downward motion is 258 N. Explain what is the magnitude of the acceleration of the rock?
A 107-kg horizontal platform is a uniform disk of radius 1.85 m and can rotate about the vertical axis through its center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis
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