只取35道选择题 ap mechanics 2016 - 副本_在线真题试卷与模拟练习_只取35道选择题 ap mechanics 2016

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A projectile is launched with a speed of 40 m/s at an angle of 30° above the horizontal, as shown in the figure above. The projectile lands on a plateau 3 s later. The height $$\Delta y$$ of the plateau is most nearly

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A small sphere hangs from a string attached to the ceiling of a uniformly accelerating train car. It is observed that the string makes an angle of 37° with respect to the vertical. The magnitude of the acceleration $$a$$ of the train car is most nearly

Which of the following statements must be true for a falling object that has been dropped from rest near the surface of Earth?

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The position $$x$$ as a function of time $$t$$ for an object moving in a straight line is shown in the graph above. Which of the following best describes the object's speed and direction of motion during the time interval shown?

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The force $$F$$ exerted on a ball during a collision with a wall is given as a function of time $$t$$ by the equation $$F(t) = \alpha t - \beta t^2$$, where $$\alpha = 400$$ N/s and $$\beta = 4000$$ N/s². The ball first contacts the wall at $$t = 0$$, and the collision lasts for 0.10 s. What is the magnitude of the change in momentum of the ball?

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Two spheres of uniform density are located a distance $$L$$ apart, as shown in the figure above. The left sphere has a mass $$M_1$$, and the right sphere has a mass $$M_2$$. The center of mass of the two spheres is labeled point $$P$$. Which of the following is a correct expression for the distance from point $$P$$ to the center of the left sphere?

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A wheel of radius $$R$$ is fixed to an axle of radius $$R/3$$ and rotates at constant angular speed $$\omega$$, as shown in the figure above. A force of magnitude $$F_1$$ is applied tangent to the outer edge of the wheel. A second force of magnitude $$F_2$$ is applied tangent to the edge of the axle to keep the wheel rotating at constant angular speed $$\omega$$. The magnitude $$F_2$$ is equal to

Questions 8-9

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On a level horizontal table, a toy race car of mass $$M$$ moves with constant speed v around a flat circular racetrack of radius $$R$$.

Which of the following best represents the minimum coefficient of static friction required for the race car to continue to follow the circular path shown?

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The car is now going around a banked curve, as shown in the figure above. The banked curve is higher toward the outside of the circular turn. The car can now travel at a higher speed without sliding because the banked curve

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A horizontal uniform plank is supported by ropes I and II at points $$P$$ and $$Q$$, respectively, as shown above. The two ropes have negligible mass. The tension in rope I is 150 N. The point at which rope II is attached to the plank is now moved to point $$R$$ halfway between point $$Q$$ and point $$C$$, the center of the plank. The plank remains horizontal. Which of the following are most nearly the new tensions in the two ropes?

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The potential energy $$U$$ as a function of the position $$x$$ of an object is given by $$U(x) = -400/x$$, where $$U$$ is in joules and $$x$$ is in meters. The object is released from rest at position $$x = 30$$ m and is free to move along the $$x$$-axis. When the object has moved a distance of 10 m from its initial position, the magnitude of the force associated with this potential energy function is

A student pushes a box across a rough horizontal floor. If the amount of work done by the student on the box is 100 J and the amount of energy dissipated by friction is 40 J, what is the change in kinetic energy of the box?

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Three blocks of masses $$m$$, $$3m$$, and $$2m$$ resting on a frictionless horizontal surface are connected to identical ideal springs, as shown above. A force of magnitude $$F$$ directed to the left is then applied to the left end of spring A. Which spring is stretched the most when the blocks are all moving with the same acceleration?

At time $$t = 0$$, a ball is thrown with initial speed $$v_0$$ at an angle $$\theta$$ above the horizontal. Air resistance is negligible. Which of the following best represents the speed of the ball as a function of time $$t$$ while the ball is in flight?

The position $$x$$ of an object is given as a function of time $$t$$ by the equation $$x = 8 + 4t - 6t^3$$, where $$x$$ is in meters and $$t$$ is in seconds. What is the maximum positive velocity attained by this object?

Two balls, A and B, have the same mass and diameter but are made from different types of rubber. The balls are dropped from the same height above the floor. After colliding with the floor, ball A bounces higher than ball B bounces. Which of the following quantities must necessarily be larger for ball A than for ball B?

Object A of mass $$M$$ is moving east at speed $$v$$. It collides with object B of mass $$2M$$ that was initially at rest. The motion of the objects before and after the collision is along the same line. After the collision, object A is moving west at a speed of $$v/3$$. What is the speed of object B immediately after the collision?

Questions 18-19

A wheel of mass m, which has a rotational inertia $$I$$ and a radius $$r$$, rotates with an angular speed $$w$$ about an axis through its center. A retarding force $$F$$ is applied tangentially to the rim of the wheel.

Which of the following is equal to the magnitude of the angular acceleration of the wheel?

The retarding force $$F$$ finally stops the rotation of the wheel. Which of the following best represents the total reduction in mechanical energy in the process of stopping the wheel?

An airplane travels horizontally at a constant velocity $$\vec{v}$$. An object is dropped from the plane, and one second later another object is dropped from the plane. If air resistance is negligible, what happens to the vertical distance between the two objects while they are both falling?

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