Physics AP C Mechanics



Physics AP C Mechanics

Extra Free Response Midterm Practice

Two-Dimensional Motion with Constant Acceleration

6. The vector position of a particle varies in time according to the expression [pic]. (a) Find expressions for the velocity and acceleration as functions of time. (b) Determine the particle's position and velocity at t = 1.00 s.

Projectile Motion

Note: Ignore air resistance in all problems and take g = 9.80 m/s2 at the Earth’s surface.

10. To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 300 m/s at 55.0° above the horizontal. It explodes on the mountainside 42.0 s after firing. What are the x and y coordinates of the shell where it explodes, relative to its firing point?

Circular Motion

34. An automobile whose speed is increasing at a rate of 0.600 m/s2 travels along a circular road of radius 20.0 m. When the instantaneous speed of the automobile is 4.00 m/s, find (a) the tangential acceleration component, (b) the centripetal acceleration component, and (c) the magnitude and direction of the total acceleration.

Relative Velocity and Relative Acceleration

42. The pilot of an airplane notes that the compass indicates a heading due west. The airplane's speed relative to the air is 150 km/h. If there is a wind of 30.0 km/h toward the north, find the velocity of the airplane relative to the ground.

Forces without Friction

26. Two objects are connected by a light string that passes over a frictionless pulley, as in Figure below. Draw free-body diagrams of both objects. If the incline is frictionless and if m1 = 2.00 kg, m2 = 6.00 kg, and [pic] = 55.0°, find (a) the accelerations of the objects, (b) the tension in the string, and (c) the speed of each object 2.00 s after being released from rest.

Forces with Friction

36. A 25.0-kg block is initially at rest on a horizontal surface. A horizontal force of 75.0 N is required to set the block in motion. After it is in motion, a horizontal force of 60.0 N is required to keep the block moving with constant speed. Find the coefficients of static and kinetic friction from this information.

Work and Energy

12. The force acting on a particle is Fx = (8x – 16) N, where x is in meters. (a) Make a plot of this force versus x from x = 0 to x = 3.00 m. (b) From your graph, find the net work done by this force on the particle as it moves from x = 0 to x = 3.00 m.

Spring Forces and Energy

16. An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to 230 N. (a) What is the equivalent spring constant of the bow? (b) How much work does the archer do in pulling the bow

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