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A crabeater seal jumps onto a horizontal ice floe with an initialvelocity of 6 m

ID: 1722330 • Letter: A

Question

A crabeater seal jumps onto a horizontal ice floe with an initialvelocity of 6 m/s horizontally.
There is some friction between the seal’s belly and the ice,which amounts to 160 N. The mass
of the seal is 82 kg. The magnitude of the gravitational force is(mass x g, where g as usual is
9.81 m/s2). How far does the seal slide?

[Note:] We now have Newton’s Second Law as well as our motionequations for constant acceleration. You can write down Newton IIusing i-hat and j-hat components. Then you can separate out thecomponents. What can you find using Newton II? What can you do withit?

Explanation / Answer

    initial velocity, U = 6 m/s     friction, f = - 160 N     mass, m = 82 kg     acceleration, a = f / m = - 160 / 82 = - 1.95m/s2     final velocity, V = 0     displacement, S = ?     V2 - U2 = 2 a S     0 - 36 = 2 * - 1.95 * S     displacement, S = 9.23 m

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