× Didn't find what you were looking for? Ask a question
Top Posters
Since Sunday
a
5
k
5
c
5
B
5
l
5
C
4
s
4
a
4
t
4
i
4
r
4
r
4
New Topic  
dashin00 dashin00
wrote...
Posts: 47
Rep: 0 0
11 years ago
http://i475.photobucket.com/albums/rr116/watex/numb3.jpg
A box with weight 32N is on a rough horizontal surface. An external force F is applied horizontally to the box. A normal force and a friction force are also present, denoted by n and f. A force diagram, showing the 4 forces that act on the box is shown above. When force F equals 8.6N, the box is in motion at constant velocity. The box decelerates when force F is removed. The magnitude of the acceleration of the box is?
Read 594 times
2 Replies

Related Topics

Replies
wrote...
11 years ago
By definition, if forces are balanced constant velocity occurs.  So when 8.6 N applied force produces constant velocity, you know the force of friction is -8.6 N.

an object that weighs 32 N has a mass of 3.3 kg

a = Fnet / m   =  Fapplied - Ffriction / mass   When you remove the applied force it becomes zero.      

a = 0 - 8.6 N / 3.3 kg  So                           a = -2.6 m/s/s
wrote...
11 years ago
The normal force n equals the weight of the box.
n = 32N
The friction force equals the normal force times the coefficient of friction ?
f = 32N(?)
For the box to be in motion with constant velocity, the applied force F must equal the friction force. Therefore the friction force f is:
f = 8.6N
When the applied force is removed the friction force causes the box to decelerate. We can find out the magnitude of the deceleration by writing an  f = ma equation, or, a = f/m
The mass of the box is 32N/9.8m/s^2 = 3.2653kg
Therefore, a = f/m
a = 8.6N/3.2653kg = 2.634m/s^2
Deceleration magnitude = 2.634m/sa^2
New Topic      
Explore
Post your homework questions and get free online help from our incredible volunteers
  911 People Browsing
Related Images
  
 352
  
 169
  
 284
Your Opinion
Who's your favorite biologist?
Votes: 586