Newton's Second Law of Motion homework problem

Click For Summary
SUMMARY

The discussion focuses on applying Newton's Second Law of Motion to a problem involving two masses, A and B, subjected to the same force. Mass A accelerates at 6.0 m/s², while mass B accelerates at 8.0 m/s². By using the equations F = ma, the masses can be expressed as m = F/a. When both masses are accelerated together by the same force, the resulting acceleration can be calculated by substituting the individual masses into the combined equation, leading to the conclusion that the force cancels out in the final calculation.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Basic algebra for manipulating equations
  • Concept of mass and acceleration
  • Ability to set up and solve equations
NEXT STEPS
  • Study the derivation of F = ma in detail
  • Explore examples of combined mass acceleration problems
  • Learn about the implications of force cancellation in physics
  • Investigate real-world applications of Newton's laws in engineering
USEFUL FOR

Students studying physics, educators teaching Newton's laws, and anyone interested in understanding the principles of motion and force interactions.

jalen
Messages
25
Reaction score
0
An applied force accelerates mass A at a rate of 6.0m/s^2. The same force applied to mass B accelerates the mass at a rate of 8.0m/s^2. If the same force were used to accelerate both masses together, what would be the resulting acceleration be?
 
Physics news on Phys.org
set up a set of equations using F=ma for different m and a
 
jalen said:
An applied force accelerates mass A at a rate of 6.0m/s^2. The same force applied to mass B accelerates the mass at a rate of 8.0m/s^2. If the same force were used to accelerate both masses together, what would be the resulting acceleration be?

write the second law for the first case, the second case and the third case

F= (mass of a)*(6.0)
F= (mass of b)*(8.0)
F= (mass of a + mass of b)*(acceleration)


the first two equations give us the mass of a and mass of b in the form:

m=F/a

substitute them into the third equation and solve for acceleration. the force cancels out.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
1K
Replies
23
Views
3K
Replies
13
Views
3K
  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
17
Views
2K
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
44
Views
4K