.A 1500-N force is required to raise an aluminum slab (the density of aluminum is 2700 kg/m3 ) to a surface of an ocean. The force required to lift it out of the water is approximately

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1.A 1500-N force is required to raise an aluminum slab (the density of aluminum is 2700 kg/m3 ) to a surface of an ocean. The force required to lift it out of the water is approximately

2.A 6-kg stone moving north at 3 m/s collides with a 4-kg lump of clay moving west at 2 m/s. The stone becomes embedded in the clay. What is the speed of the composite body after the collision?

3.A barge is 5 m wide and 7 m long. When a bulldozer pulls onto the barge, it sinks 3 cm lower in the sea water. What is the weight of the bulldozer?

4.The object shown rotates about an axis perpendicular to the paper and through point P. The kinetic energy of the object is equal to 5.6 J. If M = 1.5 kg and L = 0.75 m, what is the angular velocity of the object? Neglect the mass of the connecting rods and treat the masses as particles.

5.What would a person who weighs 700 N on the earth weigh on a planet whose mass and radius were both 1/3 those of the earth?

6.A 3-kg particle moves in the xy plane with a constant speed of 5 m/s along the direction . What is its angular momentum (in kg×m2 /s) relative to the origin?

7.When a figure skater extends her arms horizontally holding a 3-kg mass in each hand, she is spinning at 1/2 revolution per second. If she drops her hands to her sides, what will the final angular velocity (in rev/s) be if her moment of inertia remains approximately constant at 4 kg×m2 , and the distance of the masses from the axis changes from 1.2 m to 0.2 m?

8.A 150-kg satellite orbits the Earth. The radius of the orbit = 7.5 x 106 m, the mass of Earth = 6.0 x 1024 kg. What is kinetic energy of the satellite?

9.A car of mass 1 200 kg moves with a speed of 70 m/s on a circular track of radius 150 m. What is the magnitude of its angular momentum (in kg⋅m2 /s) relative to the center of the race track?

10.When a tangential force of 20 N acted on the rim of a wheel 100 cm in diameter, it took 2 s for the wheel, initially at rest, to complete its 2 revolutions. The wheel’s moment of inertia is

11.A 300-kg mass is hung on a 5-m long wire whose cross-sectional area = 0.3x 10-4 m2 , and Young’s modulus = 5x1010 N/m2 . What is its increase in length?

12.An 850-N construction worker is standing on a scaffold supported by vertical ropes at each end. The scaffold weighs 300 N and is 5 m long. If the worker stands 2 m from one end, what is the tension in the rope closest to him?

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