What is the acceleration of the box?

  • Thread starter Thread starter black_hole
  • Start date Start date
  • Tags Tags
    Acceleration Box
Click For Summary
SUMMARY

The discussion focuses on calculating the acceleration of a box being pulled with a force of 138 N at an angle of 23.9° above the horizontal, with a mass of 51.6 kg. The acceleration can be determined using Newton's second law, F=ma, by resolving the applied force into its horizontal and vertical components. Additionally, the discussion includes a scenario involving a 12.6 kg bucket being lowered with a tension of 127.6 N, where the acceleration must be calculated considering the forces acting on the bucket. The key equations and methods for solving these physics problems are clearly outlined.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Ability to resolve forces into components
  • Knowledge of friction and its coefficient
  • Basic concepts of tension in ropes
NEXT STEPS
  • Study vector resolution techniques in physics
  • Learn about calculating coefficients of friction in different scenarios
  • Explore advanced applications of Newton's laws in dynamic systems
  • Investigate tension forces in various contexts, such as pulleys and inclined planes
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of force and motion problems.

black_hole
Messages
71
Reaction score
0

Homework Statement



A student pulls a box of books on a smooth horizontal floor with a force of 138 N in a direction of 23.9° above the horizontal. If the mass of the box and the books is 51.6 kg, what is the acceleration of the box?

A constant force of 2.2 N is required to drag a 49.2 kg box across a rough wooden floor at a constant speed of 2.2 m/s. Find the coefficient of sliding friction between the floor and the box.

A 12.6 kg bucket is lowered vertically by a rope in which there is 127.6 N of tension at a given instant. What is the acceleration of the bucket? When giving you answer, assume the acceleration is positive if up and negative if down.

Homework Equations





The Attempt at a Solution



I was able to draw force diagrams, but that's all.
 
Physics news on Phys.org
Now use those force diagrams to write out F=ma equations, separating your force vectors into horizontal and vertical components.
 
Next, write out Newton's second law for both the x and y directions.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 11 ·
Replies
11
Views
4K
Replies
3
Views
2K
Replies
12
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K