A floating ice block is pushed through a displacement?
A floating ice block is pushed through a displacement vector ( \mathbf{d} = (24 \, \text{m}) \mathbf{i} - (12 \, \text{m}) \mathbf{j} ) along a straight embankment by rushing water. The water exerts a force ( \mathbf{F} = (150 \, \text{N}) \mathbf{i} - (175 \, \text{N}) \mathbf{j} ) on the block.
(a) How much work does the force do on the block during this displacement, expressed in joules?
(b) Does the ice block speed up, move at constant speed, or slow down?
(c) What is the angle between the force and the displacement, expressed in degrees?
1 Answers
a. W = F d where the x and y are considered separately
x dir: W = 24 * 150 = 3600 Joules
y dir: W = -12 * -175 = 2100 Joules
total work = 3600 + 2100 = 5700 Joules
b. speeds up
c. the force vector and the displacement vector are in the same direction. Thus, the angle between F and d is 0 degrees
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