Exam3Solution-EP1-S08

# Exam3Solution-EP1-S08 - Engineering Physics 1(Phys 213 Exam...

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10 3. (8 pts) Two children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring-loaded gun that is mounted on a table. The target box is horizontal distance D = 2.20 m from the edge of the table as shown. Bobby compresses the spring 1.10 cm, but the center of the marble lands at distance 1.93 m from the edge of the table. How far should Rhoda compress the spring to score a direct hit? Assume that neither the spring nor the ball encounters friction in the gun. For Rhoda, want to choose the spring compression x so that distance D = 2.20 m To find initial velocity of ball: m k x v mv kx / 0 2 0 2 1 2 2 1 = = Horizontal distance travelled by ball t v D 0 = Therefore m k tx D / = For Bobby distance (horizontal) is D 1 = 1.93 m and spring compression is x 1 = 1.10 cm m k tx D / 1 1 = Now divide the first equation by the second equation to get x cm 25 . 1 / / 1 1 1 1 = = = x D D x m k tx m k tx D D 4. (6 pts) A block is sliding on a horizontal surface with an initial velocity of 2 m/s. The coefficient of kinetic friction is 0.4. How far does the block slide before coming to rest?
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Exam3Solution-EP1-S08 - Engineering Physics 1(Phys 213 Exam...

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