1. If a particle moves in a plane so that its position is described by the funct
ID: 1916297 • 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)
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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