Newtons Laws - Force.

In summary: Your Name]In summary, we are given the mass of a duck, the forces acting on it, its initial velocity, and the time period during which the forces act. To find the magnitude and direction of its displacement, we can use Newton's second law of motion, the equation for acceleration, and the equation for displacement. We can also use trigonometry to find the direction of the displacement vector. It is important to carefully read and understand the given information and use the appropriate equations to solve the problem.
  • #1
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Homework Statement



A duck has a mass of 2.30 kg. As the duck paddles, a force of 0.124 N acts on it in a direction due east. In addition, the current of the water exerts a force of 0.222 N in a direction of 50.3° south of east. When these forces begin to act, the velocity of the duck is 0.175 m/s in a direction due east. Find the magnitude (enter first) and direction (relative to due east) of the displacement that the duck undergoes in 3.28 s while the forces are acting.

Homework Equations





The Attempt at a Solution



Not sure how to get started;

F_dx=0.124N
F_wx=0.142N

So, I got the X-components of the two forces. Honestly not sure how to do this one.
 
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  • #2

Thank you for your post. I would like to offer some guidance on how to approach this problem.

Firstly, it is important to understand the given information and what is being asked. We know the mass of the duck (2.30 kg) and the forces acting on it - 0.124 N due east and 0.222 N at a 50.3° angle south of east. We also know the initial velocity of the duck (0.175 m/s due east) and the time period during which the forces act (3.28 s). We are being asked to find the magnitude and direction of the displacement the duck undergoes in this time period.

To solve this problem, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, we know the mass of the duck and the net force acting on it (the sum of the two given forces).

Next, we can use the equation for acceleration (a = F/m) to find the acceleration of the duck in the given direction. Once we have the acceleration, we can use the equation for displacement (d = ut + 1/2at^2) to find the displacement of the duck in 3.28 s.

To find the direction of the displacement, we can use trigonometry to find the angle between the displacement vector and the due east direction. This can be done by finding the tangent of the angle (tanθ = opposite/adjacent) and then using the inverse tangent function to find the angle.

I hope this helps you get started on solving the problem. Remember to always carefully read and understand the given information and use the appropriate equations to find the solution.
 

1. What are Newton's three laws of motion?

Newton's three laws of motion are:
1. An object at rest stays at rest, and an object in motion stays in motion with the same velocity, unless acted upon by an external force.
2. The acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.
3. For every action, there is an equal and opposite reaction.

2. What is the definition of force according to Newton's laws?

Force is defined as any push or pull on an object that results in its acceleration or deceleration. According to Newton's laws, force is directly related to an object's mass and acceleration.

3. How do Newton's laws explain the motion of objects?

Newton's laws explain the motion of objects by stating that the motion of an object depends on the forces acting upon it. The first law states that an object will remain at rest or in motion at a constant velocity unless acted upon by a net external force. The second law relates the acceleration of an object to the net force acting on it. The third law states that for every action, there is an equal and opposite reaction.

4. What is the relationship between mass and acceleration according to Newton's second law?

According to Newton's second law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the greater the mass of an object, the more force is needed to accelerate it, and the less mass an object has, the easier it is to accelerate it.

5. Can Newton's laws be applied to all types of motion?

Yes, Newton's laws can be applied to all types of motion, including linear, circular, and rotational motion. These laws provide a fundamental understanding of how objects move and interact with each other, and can be used to analyze and predict the motion of objects in various situations.

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