6. A smooth sphere travelling with a speed of 2m/s on a smooth horizontal floor hits a vertical wall at an angle of 45". Given that the coefficient of restitution is then its speed after impact is A.V34 C. V2 B.VZ D.V3 2.

2. The rotation of the earth causes a centrifugal effect on a mass near the surface of the earth. This slightly changes the effective acceleration due to gravity. We can call the old acceleration due to gravity go and the effective acceleration geff: a. Show that the angle between g, and geff can be expressed as 2R sin(e) cos(e) $ = tan-1 Go - Ns/s, R sin² (e) where 0 is the angle between the angular velocity of earth and the position of the mass near the surface of the earth. b. How small that o if 0 is 45° and R is the radius of the earth.

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88. You are in mission control in Florida, supervising a probe on its way to Mars. The most recent report indicates that the probe will soon need to fire a quick burst of its booster rocket to increase its speed by 5.2 m/s. You know that the spent fuel is ejected at a speed vfuel initial speed of the probe before firing, and that 10% of the probe's inertia is currently fuel. Your main worry is whether enough fuel is left for landing maneuvers. 0. CR = 800 m/s – v, where v, is the Vị -

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A 1,000.0-kg particle is placed at the origin. A 5,000.00-kg particle is placed on the x-axis at the 1.0 mm mark. A third particle with mass of 2,000.0 kg is placed on the x-axis at the 2.0 mm mark. Determine the magnitude of the net gravitational force experienced by the third particle. O a. 19,600.000 N O b. 78,400.000 N O . 633.650 N O d. 700.350 N

0-2. An automobile drag racer drives a car with acceleration a and instantaneous veloc- ity v. The tires (of radius r) are not slipping. Find which point on the tire has the greatest acceleration relative to the ground. What is this acceleration?

4The free-fall acceleration on the surface of the Moon is about one-sixth that on the surface of the Earth. The radius of the Moon is about 0.250 R: (RE = radius of Earth = 6.37E6 m). Find the ratio of their average densities: pdoon/PEarth- (2/3) %3D

Q.1. Calculate the change in the value of g at altitude 45°. Take radius of earth = 103 6.37 x km

8 A stone of mass m is attached to a string and is rotated in a vertical circle of radius r. at bottom of the track, the tension in the string is 3 times the weight of the stone. The velocity of the stone at this point is: ut of 2(g n)/2 O b. (2g n)/2. a. question (g n)/2 d. 2g r. vious page Jump to