For a satellite with an elliptical orbit and not a circular orbit, the kinetic energy varies with time. a) True b) False
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For a satellite with an elliptical orbit and not a circular orbit, the kinetic energy varies with time.
a) True
b) False
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- A 5.58 kg object falls freely (ignore air resistance), after being dropped from rest. Determine the initial kinetic energy (in J), the final kinetic energy (in J), and the change in kinetic energy (in J) for the following. (a) the first meter of the fall initial kinetic energy final kinetic energy change in kinetic energy initial kinetic energy final kinetic energy (b) the second meter of the fall 0 X How is the initial kinetic energy for the second segment of travel related to the final kinetic energy for the first segment of travel? J change in kinetic energy 0 J J J 54.684 54.684 X How is the final kinetic energy related to the change in kinetic energy? J 109.368 X Can you determine the change in gravitational potential energy for the object as it falls during the second segment of travel? How is the change in kinetic energy for the second segment of travel related to the change in potential energy for the second segment? J 109.368 X Knowing the initial kinetic energy and the change…As shown in the figure below, two masses m₁ = 5.10 kg and m₂ which has a mass 60.0% that of m₁, are attached to a cord of negligible mass which passes over a frictionless pulley also of negligible mass. If m₁ and m₂ start from rest, after they have each traveled a distance h = 1.00 m, use energy content to determine the following. m₂ m₁ (a) the speed (in m/s) v of the masses m/s (b) the magnitude (in N) of the tension 7 in the cord NThe kinetic energy of a system must always be positive or zero. Explain whether this is true for the potential energy of a system.
- A 260 g particle in a semi-spherical bowl of radius 0.6 m is released from rest at point A at the level of the center of the bowl, and the surface of the bowl is rough. The speed of the particle at B is 2 m/s. The acceleration of gravity is 9.8 m/s2 . a)What is its kinetic energy at B? b)What is the magnitude of the energy lost due to friction as the particle moves from A to B?A 800 kg roller coaster goes over the first hill with a speed of 17.0 m/s. If h = 58 m, determine the change in gravitational potential between A and B. Use g = 10 N/kg.A spherically symmetric ball of mass m and radius R is centered at the origin. A thin rod has a mass M uniformly distributed along its length L and lies along the x-axis as shown in the figure below. Determine the gravitational potential energy of the system if U = 0 at x = ∞. y L M т
- A 5.56 kg object falls freely (ignore air resistance), after being dropped from rest. Determine the initial kinetic energy (in J), the final kinetic energy (in J), and the change in kinetic energy (in J) for the following. (a) the first meter of the fall initial kinetic energy ____J final kinetic energy _____J change in kinetic energy ____J (b) the second meter of the fall initial kinetic energy ____J final kinetic energy _____J change in kinetic energy _____Jshow worki) A small 25g toy rocket is launched straight up from the ground at 144 km/h (a) What is the kinetic energy of the toy rocket? (b) Find the work done by gravity after it has risen 220 m. (i) (a). The kinetic energy of the toy rocket is = (b). The work done by gravity after it has risen 220 m is =
- A bead of mass m sits on a frictionless helical wire whose shape is given by x = 4 cos(0), y = 4 sin(0), z = -50. After the bead is released from rest at z = 0 it slides down due to the gravitational force Fg = = -mg k. b) What is the energy before it is released? E = a) Denoting the speed of the bead as u, give the formula for the energy of this bead. E= * m V= Z=0 c) Give the speed of the bead when it has rotated about the z- axis n times: Here frictionless means that there is no loss of energy due to reaction forces or air resistance.If the net work done by the force is 4 Joules, what is the value for z in the attached graph?