1. If a particle moves in a plane so that its position is described by the funct
ID: 1916331 • Letter: 1
Question
1. If a particle moves in a plane so that its position is described by the functions x=Acos(wt) and y=Asin(wt), it is
a. moving with varying speed along a circle
b. moving with constant speed along a circle
c. moving with constant acceleration along a straight line
d. moving along a parabola
e. oscillating back and forth along a straight line
2. In a totally inelastice collision which of the following is conserved,
a. linear momentum and kinetic energy.
b. kinetic energy only
c. linear momentum only
d. linear momentum and velocity of the center of mass.
e. velocity of the center of mass only.
3. A ring and a solid disk of equal radius and mass are each given a push such that they have the same initial velocity on a horizontal plane. They then travel up an inclined plane. Which of the follwoign occurs,
a. The ring will move farther up the ramp than the disk.
b. The disk will move farther up the ramp than the ring.
c. The ring and the disk move up an equal distance.
d. The relative distance depends on the angle of the plane.
e. The relative distance depends on the length of the plane
4. The momentum of a particle in kg*m/sec depends on time according the the euqation p=2t^e =4, where t is in seconds. At the end of 1 second, the force on the particle in Newtons is
a. 2.0 N b. 4.0 N c. 4.7 N d. 6.0 N e. 8.0 N
5. An object orbits a star in an elliptical orbit. The distnace at aphelion is 2a and the distance at perihelion is a. Determine the ratio of the objects speed at perihelion to that at aphelion.
a. 3 b. 2 c. 1 d.sqrt(2) e. sqrt(3)
6. The length of a simple pendulum with a period on earth of one second is most nearly
a. 0.12m b. 0.25m c. 0.50m d. 1.0m 2. 10.0m
7. In a particular Atwood's machine one mass is attached to a rope which runs over a frictionless pulley and is attached to another mass which has four times the mass as the other. What is the accleration of the blocks?
a. g/2 b. 2g/3 c. 3g/5 d. 3g/4 e. 4g/5
8. When a certain elastic band is stretched a distance x, it exerts a restoring force of magnitude F=ax+bx^2. The work done by an outside agent in slowly changing the stretch from x=0 to x=L is
a. (ax+bx^2)L b. a+2bx c. a+2bl d. (ax^2)/2 + (bx^3)/3 e. (aL^2)/2 + (bL^3)/3
9. Two objects having masses of m1 and m2 are a distance R apart in an inertial frame of reference. They are isolated from all forces except the gravitational forces between them. As a result of this gravitational force, m1 and m2 experience accelerations a1 and a2, respectively. When the distance has been reduced to R/2, which of the following is true?
a. a1 must be four times a2
b. a1 must be equl to a2
c. a1 and a2 must have been doubled.
d. a1 and a2 must each have been multiplied by four.
e. a1 and a2 are unchanged.
10. An object falling in air experienceds a drag force directly related to the square of the speed such that F=Cv^2 (where C is a constant of proportionality). Assuming that the buoyant force due to the air is negligible, the terminal velocity of this falling body is best described by the eqaution
a. mg/C b. (sqrt(mg))/C c. mg/sqrt(C) d. sqrt (mg/C) e. C/mg
A brief explanations to each answers would be much appreciated!
Explanation / Answer
1.) vx=awcos(wt) vy=-awsin(wt) velocity is varying so answer is b 2.) linear momnetum 3.) a bcoz moment of inertia ring lesser than dolid 4.) 8 n p=mv f=dp/dt =2*t^e-1*e =2*t^e*e =4*2 =8 n 5.) sqrt(2) 6.) 1=2*3.14sqrt(l/g) l=0.25 7.)a=4mg-mg/5m =3g/5 8.)w=f.dx =ax^2/2+b*x^3/3 =a*l^2/2+b*l^3/3 9.) a1 aqnd a2 unchanged 10.) d
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