1) A 1.50 kg block is initially at rest on a horizontal frictionless surface when a horizontal
force along an x axis is applied to the block. The force is given by
( ) ( )
2 F x x = − 2.50 i N
, where x is in meters and the initial position of the block is x = 0. (a) What is the kinetic
energy of the block as it passes through x = 2.00 m? (b) What is the maximum kinetic
energy of the block between x = 0.00 and x = 2.00 m?
2) In the figure we gradually pull the block from x = 0 to x = +3.00 cm, where it is
stationary. The graph gives the work that our force does on the block. The scale of the
figure’s vertical axis is set by Ws = 1.00 J. We then pull the block out to x = +5.00 cm and
release it from rest. How much work does the spring do on the block when the block
moves from xi = +5.00 cm to (a) x = +4.00 cm, (b) x = −2.00 cm, and (c) x = −5.00 cm?
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