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本课程起止时间为:2021-04-08到2021-07-05
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Chapter 1:Kinematics Quiz 1

1、 问题:A particle is moving in the xy-plane, and its coordinates, as functions of time t, are given by where a, b and c are positive constants. When the particle’s velocity makes an angle of 45 degrees with the +x-axis, its speed is given by
选项:
A:
B:
C:
D:
答案: 【

2、 问题:The velocity of a particle moving along the x-axis is given by where t is in seconds and is in meters per second. At , the particle is located at . The particle’s equation of motion is
选项:
A:
B:
C:
D:
答案: 【

3、 问题:A particles rotates with a constant angular acceleration in a circular path of radius R from rest. After the position vector of the particle sweeps out an angle , the particle’s acceleration makes an angle of 45 degrees with the particle’s velocity. In radians, the angle is given by
选项:
A:1/6
B:1/4
C:1/3
D:1/2
答案: 【1/2

4、 问题:A projectile is launched into the air with a speed at an angle with the horizontal direction at . What are the projectile’s normal acceleration at and the radius of curvature of its trajectory at the highest point?
选项:
A:
B:
C:
D:
答案: 【

5、 问题:An airplane is flying at a speed of 200 km/h relative to the air, and ground radars show that its speed is 192 km/h. If the wind is blowing from the west to the east, at 56 km/h, the plane must be moving
选项:
A: west of south
B: east of north
C:towards the north (or the south)
D: north of west
答案: 【towards the north (or the south)

Chapter 2: Newton’s Laws of Motion Quiz 2

1、 问题:A small ball is sliding down a frictionless surface, as shown in the figure,
选项:
A:its speed increases and the magnitude of its tangential acceleration decreases
B:its speed decreases and the magnitude of its tangential acceleration increases
C:both its speed and the magnitude of its tangential acceleration increase
D:both its speed and the magnitude of its tangential acceleration decrease
答案: 【its speed increases and the magnitude of its tangential acceleration decreases

2、 问题:A ball of mass m=0.5kg falls from rest and is subjected to a frictional drag force , where . The ball’s maximum velocity is closest to
选项:
A:2.3 m/s
B:3.5 m/s
C:1.0 m/s
D:1.8 m/s
答案: 【3.5 m/s

3、 问题:A ball of mass 1.0 kg is suspended by two wires from a horizontal arm, which is attached to a vertical shaft, as shown in the figure. The shaft executes uniform rotation about its axis such that the tensions in the two wires are equal. The centripetal acceleration of the ball is closest to
选项:
A:
B:
C:
D:
答案: 【

4、 问题:Object A of mass m is placed on the top of object B, the mass of which is M. The coefficients of static and kinetic friction between A and B are and , respectively. B is placed on a frictionless tabletop. The system is initially at rest, and then a horizontal force F is exerted on A. In order to make sure that there is no relative movement between A and B, we must have
选项:
A:
B:
C:
D:
答案: 【

5、 问题:A roadway is designed for traffic moving at a speed of 20 m/s. A curved section of the roadway is a circular arc of 100 m radius. The roadway is banked so that a vehicle can go around the curve with no lateral friction force. The angle at which the roadway is banked is closest to
选项:
A:
B:
C:
D:
答案: 【

Chapter 3: The Impulse-Momentum Theorem Quiz 3

1、 问题:A 50-kg boy throws a ball of mass 0.5kg against a wall. The ball strikes the wall horizontally with a speed of 10 m/s, and it bounces back with the same speed. The ball is in contact with the wall for 0.05 s. The average force exerted on the wall by the ball is closest to
选项:
A:100 N
B:1000 N
C:2000 N
D:200 N
答案: 【200 N

2、 问题:Two balls of the same size, A and B, have masses 4m and m, respectively. The balls are now placed on a frictionless tabletop. Initially, A is at rest, and B is moving towards it with a velocity . After they collide, the speed of B becomes , and it moves in a direction perpendicular to . After collision, the magnitude of A’s momentum becomes
选项:
A:
B:
C:
D:
答案: 【

3、 问题:A spaceship traveling in space with a constant velocity , now fires its engine and exhaust gases are ejected at a constant speed u relative to the spaceship. When the spaceship’s speed becomes , its mass reduces to . The value of is closest to
选项:
A:2.7
B:2.5
C:2.3
D:2.1
答案: 【2.7

4、 问题:A uniform thin rod is bent into a semicircle of radius R, as shown in the figure. The rod’s center of mass is located at point
选项:
A:
B:
C:
D:
答案: 【

5、 问题:A particle of mass m is moving along the x-axis, and its position vector at time t is given by . The impulse of the net force acting on the particle between and is
选项:
A:
B:

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