What is the acceleration of the box?

In summary, the first problem involves a student pulling a box of books with a force of 138 N at an angle of 23.9° above the horizontal. The mass of the box and books is 51.6 kg, and the question asks for the acceleration of the box. The second problem deals with a constant force of 2.2 N being required to drag a 49.2 kg box at a constant speed of 2.2 m/s across a rough wooden floor. The question asks for the coefficient of sliding friction between the floor and the box. The final problem involves a 12.6 kg bucket being lowered vertically with a tension of 127.6 N in the rope. The question asks for the
  • #1
black_hole
75
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
  • #2
Now use those force diagrams to write out F=ma equations, separating your force vectors into horizontal and vertical components.
 
  • #3
Next, write out Newton's second law for both the x and y directions.
 

1. What is acceleration?

Acceleration is a physical quantity that measures the change in velocity of an object over time. It is a vector quantity, meaning it has both magnitude and direction.

2. How is acceleration measured?

Acceleration is typically measured in meters per second squared (m/s^2) in the metric system. In the imperial system, it is measured in feet per second squared (ft/s^2).

3. What is the formula for calculating acceleration?

The formula for acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time. This formula can also be written as a = Δv / Δt, where Δ (delta) represents change.

4. What are the units of acceleration?

The units of acceleration depend on the system of measurement being used. In the metric system, it is measured in meters per second squared (m/s^2), while in the imperial system, it is measured in feet per second squared (ft/s^2).

5. How does acceleration relate to Newton's Laws of Motion?

Newtons's second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that a larger force will result in a greater acceleration, while a larger mass will result in a smaller acceleration.

Similar threads

  • Introductory Physics Homework Help
Replies
9
Views
878
  • Introductory Physics Homework Help
Replies
3
Views
939
  • Introductory Physics Homework Help
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
3
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
11
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
3K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
907
  • Introductory Physics Homework Help
Replies
5
Views
2K
Back
Top