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Introduction to SAT II Physics - FreeExamPapers

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The equilibrium position is the position where the net force acting on the object is zero. That would be the<br />

point where the downward force of gravity, mg, is perfectly balanced out by the upward spring force, kx,<br />

where k is the spring constant and x is the object’s displacement. To solve this problem, we need <strong>to</strong> equate<br />

the two formulas for force and solve for x:<br />

8. D<br />

The force of gravity always operates directly downward on the surface of the Earth. It doesn’t matter what<br />

other forces act upon the body. Thus the answer is D.<br />

9. C<br />

The forces acting upon the object in this diagram are tension and gravity. The force of tension is along the<br />

direction of the rod, in the direction of A. The force of gravity is directly downward, in the direction of D. The<br />

net force acting on the pendulum bob is the vec<strong>to</strong>r sum of these two forces, namely C.<br />

10. E<br />

Since the instantaneous velocity of the pendulum bob is in the direction of E, that is the path that the object<br />

will travel along. Eventually, the force of gravity will cause the pendulum bob <strong>to</strong> fall downward, but the<br />

question only asks you for the instantaneous velocity of the bob the moment it is released.<br />

Linear Momentum<br />

THE CONCEPT OF linear momentum IS closely tied <strong>to</strong> the concept of force—in fact, New<strong>to</strong>n<br />

first defined his Second Law not in terms of mass and acceleration, but in terms of momentum.<br />

Like energy, linear momentum is a conserved quantity in closed systems, making it a very handy<br />

<strong>to</strong>ol for solving problems in mechanics. On the whole, it is useful <strong>to</strong> analyze systems in terms of<br />

energy when there is an exchange of potential energy and kinetic energy. Linear momentum,<br />

however, is useful in those cases where there is no clear measure for potential energy. In<br />

particular, we will use the law of conservation of momentum <strong>to</strong> determine the outcome of<br />

collisions between two bodies.<br />

What Is Linear Momentum?<br />

Linear momentum is a vec<strong>to</strong>r quantity defined as the product of an object’s mass, m, and its<br />

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