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1. A pendulum with a length of 30 cm swings back and forth as shown in...

1. A pendulum with a length of 30 cm swings back and forth as shown in the figure above, at each turn around point it stops and it starts accelerating until reaching maxium velocity at the botton (equilibrium position), at which point it starts slowing down. If the maximum angle is 11 degrees, what is its maximum velocity in m/s? (Use g = 10.0 m/s2 and assume there is no friction).

2. A car (mass 955 kg) is traveling with a speed of 48 mi/h. A bug (mass 5 mg) is traveling in the opposite direction. What speed would the bug need in (millions of mi/h) in order to slow down the truck by 4 mile per hour in a big bug splash (i.e., final speed 44 mi/h)?

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