# What is the Force on a Barge Being Pulled by a Horse Across a River?

• kierans
In summary, a horse is pulling a barge on a river with a force of 8600 N at an angle of 18 degrees to the direction of the barge's motion. The barge has a mass of 9500 kg and an acceleration of 0.12 m/s2. To determine the magnitude and direction of the force from the water on the barge, a force diagram should be drawn and the sum of forces in the x and y directions should be calculated.
kierans

## Homework Statement

A horse is of the bank of a river pulling a barge in the same direction. Suppose the horse pulls on the rope with a force of 8600 N at an angle θ = 18Degrees to the direction of the motion of the barge, which is headed straight along the positive direction of an x-axis. The mass of the barge is 9500 kg, and the magnitude of its acceleration is 0.12 m/s2. What are the (a) magnitude and (b) direction (relative to positive x) of the force on the barge from the water?

## The Attempt at a Solution

Last edited:
You should show some work. At least draw a force diagram for yourself and post what you get for the sum of forces in the x and y directions.

## 1. What are mechanical forces?

Mechanical forces are physical forces that act on objects and cause them to move or change shape. These forces can be either contact forces, such as pushing or pulling, or non-contact forces, such as gravity or magnetism.

## 2. How do mechanical forces affect objects?

Mechanical forces can cause objects to accelerate, decelerate, or change direction. They can also cause objects to deform or break if the force is strong enough. The effect of a mechanical force depends on the magnitude and direction of the force, as well as the mass and shape of the object.

## 3. What are some examples of mechanical forces?

Examples of mechanical forces include friction, tension, compression, shear, and normal forces. Friction is the force that opposes motion between two surfaces in contact. Tension is the force that stretches or pulls an object. Compression is the force that squeezes or presses an object. Shear is the force that causes one part of an object to slide past another. Normal force is the force that a surface exerts on an object in contact with it.

## 4. How are mechanical forces measured?

Mechanical forces are measured in units of newtons (N), which is the amount of force needed to accelerate 1 kilogram of mass at a rate of 1 meter per second squared. Force can be measured using a variety of instruments, such as spring scales, strain gauges, or force sensors.

## 5. How can we minimize the effects of mechanical forces?

To minimize the effects of mechanical forces, we can use techniques such as lubrication to reduce friction, proper design and construction to handle tension and compression forces, and materials with high tensile strength to resist deformation. Additionally, we can apply force in the direction of an object's natural structure to avoid causing damage or breakage.

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