Practice Problems for Exam 3 - General Physics I | PHY 211, Exams of Physics

Material Type: Exam; Class: General Physics I; Subject: Physics; University: Syracuse University; Term: Spring 2009;

Typology: Exams

Pre 2010

Uploaded on 08/09/2009

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Phy211 Spring 2009 Syracuse University Practice before Exam 3 Page 1
Physics 211, Spring 2009 Practice before Exam 3
1. Two carts of mass m1=3 kg and m2=5 kg are attached to each other. There is a compressed spring in
between them. The spring constant is k=3500 N/m. The carts are moving on frictionless track. Initially
they are moving with velocity of 1.5 m/s to the right. Then the carts are disconnected. They separate as the
spring is allowed to decompress. After the separation, velocity of the cart with mass m2 is 3.0 m/s to the
right.
1a. Find final velocity (magnitude and direction) of the cart with mass m1 after the separation.
1b. Find compression of the spring (x) before the cart separation (you will need to solve 1a first).
m1 m2
1.5 m/s
m2
m1
3.0 m/s
v1f = ?
before after
pf3
pf4
pf5

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Physics 211, Spring 2009 Practice before Exam 3

  1. Two carts of mass m 1 =3 kg and m 2 =5 kg are attached to each other. There is a compressed spring in between them. The spring constant is k=3500 N/m. The carts are moving on frictionless track. Initially they are moving with velocity of 1.5 m/s to the right. Then the carts are disconnected. They separate as the spring is allowed to decompress. After the separation, velocity of the cart with mass m 2 is 3.0 m/s to the right.

1a. Find final velocity (magnitude and direction) of the cart with mass m 1 after the separation.

1b. Find compression of the spring (∆x) before the cart separation (you will need to solve 1a first).

m 1 m 2

1.5 m/s

m 1 m 2

v1f =?^ 3.0 m/s

before after

  1. Find center-of- mass of the ladder shown below (i.e. calculate x and y coordinates of the center-of-mass in the coordinate system defined in the figure). To a good approximation, the ladder can be described as consisting of three parts with uniform mass distribution: a left leg (ab) with the mass mab=10 kg, a right leg (bc) with the mass mbc=15 kg and a crossbar (de) with the mass mde=4 kg. Coordinates of the points a,b,c,d and e are given (all in meters): xa=0, ya=0, xb=2, yb=5, xc=4, yc=0, xd=1.25, yd=3, xe=2.75, ye=3. Precision of your answer should be at least 0.1 m.
  1. [20pts] A block of mass m 1 =7kg is suspended on a string which is wrapped around a uniform cylinder of mass m 2 =4kg and radius R=0.7m. The cylinder rotates without friction about the fixed axis going through its center. The system starts from rest. What is speed of the block after it has descended the distance of h=3.5m? ( Assume g=10 m/s^2 )

m 1

m 2

R

  1. What is the acceleration of the block in the previous problem?