# classical mechanics

Gliding mass stopped by spring and friction
(12 points possible)

A small block of mass m=1 kg glides down (without friction) a circular track of radius
R=2 m, starting
from rest at height R. At the bottom of the track it hits a massless relaxed spring with spring constant
k= 7 N/m, which starts to be compressed as the block continues to move horizontally. Note that we
assume no energy loss during this “collision". There is friction between the block and the horizontal surface, and it is not uniform. As a function of distance, the friction coefficient varies like μ(x)=αx, with
α=
0.7 m
−1. Assume for simplicity that static and dynamic friction coefficients are the same, and use
g=10
m/s
2. (See figure)

(a) What is the maximal distance x
1 that the block moves horizontally away from the track at
x=0? (in
meters)

x
1=

(b) What time t
1 does it take for the block to travel between
x=0 (relaxed spring) and
x=x
1 (block at
first stop)? (in seconds)

t
1=

(c) What will happen after the block reaches point x
1?

The block will stay put forever at x=x1.
The block will move back and reach a second stop exactly at x=0.
The block will move back and reach a second stop somewhere between x=0 and x=x1.
The block will move back and get catapulted up the circular track.

1. 👍 0
2. 👎 0
3. 👁 139

## Similar Questions

1. ### PHYSICS

A block with mass m1 = 9.0 kg is on an incline with an angle θ = 32.0° with respect to the horizontal. For the first question there is no friction, but for the rest of this problem the coefficients of friction are: μk = 0.28

asked by HIBA on February 2, 2013
2. ### physics

A block of ice of mass 4.10 kg is placed against a horizontal spring that has force constant k = 210 N/m and is compressed a distance 2.60×10−2 m. The spring is released and accelerates the block along a horizontal surface. You

asked by ami on October 7, 2010
3. ### physics

A block with mass m =7.3 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.21 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.5 m/s.

4. ### Physics

A block with a mass m = 3.50 kg sits on a surface with a coefficient of static friction µs = 0.520. A spring with spring constant k = 75.0 N/m is hooked onto the block, and is slowly pulled horizontally, gradually stretching the

5. ### physics

A small block of mass m=1 kg glides down (without friction) a circular track of radius R=2 m, starting from rest at height R. At the bottom of the track it hits a massless relaxed spring with spring constant k= 10 N/m,

asked by tyger2020 on December 23, 2018
6. ### AP Physics

A small block of mass m=1 kg glides down (without friction) a circular track of radius R=2 m, starting from rest at height R. At the bottom of the track it hits a massless relaxed spring with spring constant k= 10 N/m,

asked by tyger2020 on December 19, 2018
7. ### Physics Classical Mechanics Help ASAP

A small block of mass m=1 kg glides down (without friction) a circular track of radius R=2 m, starting from rest at height R. At the bottom of the track it hits a massless relaxed spring with spring constant k= 8 N/m, which starts

asked by Anonymous on January 10, 2014
8. ### PHYSICS(HELP)

A small block of mass m=1 kg glides down (without friction) a circular track of radius R=2 m, starting from rest at height R. At the bottom of the track it hits a massless relaxed spring with spring constant k= 11 N/m, which

asked by Anonymous on January 12, 2014
9. ### PHYSICS(help)

A small block of mass m=1 kg glides down (without friction) a circular track of radius R=2 m, starting from rest at height R. At the bottom of the track it hits a massless relaxed spring with spring constant k= 11 N/m, which

asked by Anonymous on January 10, 2014
10. ### Physics plz help :(

Q.) A block of mass m=2 kg on a horizontal surface is connected to a spring connected to a wall (see figure). The spring has a spring constant k= 18 N/m. The static friction coefficient between the block and the surface is μs=

asked by Shashanoid on November 2, 2013

More Similar Questions