Solution #1 summer 2007

# Solution #1 summer 2007 - Physics 2211 A Summer 2007 Quiz#1...

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Physics 2211 A Quiz #1 Solutions Summer 2007 g Earth = 9 . 8 m / s 2 Unless otherwise directed, all springs, cords, and pulleys are ideal, and drag should be neglected. I . (16 points) A Europan (inhabitant of Jupiter’s moon Europa) throws an ice cube straight up at 7.9 m/s. The ice cube reaches its maximum height above its release point 6.1 s later. What is the maximum height of the ice cube above its release point? ( On Europa. ) . . . . . . . . . . . . . . . . . . . . . . . Once it leaves the Europan’s “hands”, the ice cube moves only under the influence of gravity, and so undergoes constant acceleration (free fall). The acceleration of gravity on Europa is not known, but it can be calculated. Note that the velocity of the ice cube at its maximum height is zero. v = v 0 + a t ) a = v - v 0 Δ t a = - v 0 Δ t Substituting this into the constant acceleration expression for position x = x 0 + v 0 t ) + 1 2 a t ) 2 x = x 0 + v 0 t ) + 1 2 - v 0 t · t ) 2 x = x 0 + v 0 t ) + 1 2 ( - v 0 ) (Δ t ) x = x 0 + 1 2 v 0 t ) Choosing the origin to be at the release point and positive to be up, x 0 = 0 m and v 0 = +7 . 9 m / s, so x = 0 m + 1 2 (+7 . 9 m / s) (6 . 1 s) = 24 m Quiz #1 Solutions Page 1 of 5

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II . (16 points) A particle’s acceleration is described by the function a x ( t ) = 5 . 0 t 3 where a x is in m / s 2 when t is in s. The particle’s velocity at
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