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Is the center of mass system an inertial frame?
Center of mass frame is an inertial frame of reference.
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- Find the center of mass for the particle system with 6 identical masses (x, y in meter)How could the center of mass be affected if a spherical object has a greater density of mass on one side?Consider two particles A and B of masses m and 2m at rest in an inertial frame. Each of them are acted upon by net forces of equal magnitude in the positive x direction for equal amounts of time t. Moment of the particles A and B in centre of mass frame respectively are?
- Discuss the non-inertial frame of referenceIn order to turn over the frame, a couple moment is applied as shown. If the component of this couple moment along the x axis is Mx = {-20i} N ⋅ m, determine the magnitude F of the couple forces.What does that ratio become under circumstances in which the forces are unified?
- . Consider a system of N particles in a uniform gravitational field. Prove that the total gravitational torque about center of mass(CM) is zero.?At some point in its trajectory, a ballistic missile of mass (m) and velocity v0 splits into two equal masses at right angles to each other. Find the velocity of the second mass if its velocity is twice the speed of the first object in terms of v0?Gauss' Law for Mass Journey Through the Center of the Earth A 1024-kg blue ball is dropped from an initial z-position of 3.1 x 106 m through the center of a planet with radius 7.5 x 106 m. If the mass of the planet is 42 x 1015 kg, measure the displacement of the ball at time t = 6 s?
- Suppose two steel balls are taken into Earth orbit and collide in the vacuum of space. One ball is initially stationary (relative to the spacecraft) and the other is given an initial velocity. Is momentum conserved in this collision?Why the motion is independent on its mass?Two manned satellites approaching one another, at a relative speed of 0.200 m/s, intending to dock. The first has a mass of 5.00 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. a. Calculate the final velocity (after docking) in m/s by using the frame of reference in which the first satellite was originally at rest. (Assume the second satellite moves in the positive direction. Include the sign of the value in your answer.) m/s b. What is the loss of kinetic energy (in J) in this inelastic collision? J c. Repeat both parts by using the frame of reference in which the second satellite was originally at rest. final velocity (m/s) m/sloss of kinetic energy (J) J Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.