Simple Force Problem help

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In summary, when the average force exerted on an arrow by a bow is doubled, with all else remaining the same, the arrow's speed will be increased by the same factor of two. This is due to the relationship between force, distance, work, and kinetic energy in the laws of kinematics and Newton's laws of force. The kinematic equations can be used to solve for the speed of the arrow in both cases.
  • #1
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An arrow, starting from rest, leaves the bow with a speed of 25.0m/s. If the average force exerted on the arrow by the bow were doubled, all else remaining the same, with what speed would the arrow leave the bow?


Any point in the right direction would help :) but I have been trying to solve this problem for the past half hour.

If anyone can work me through the problem that would be extra great.. i wish i can return the favor. TY


Homework Equations



Laws of Kinematics and Neutons Laws of Force(1 and 2)



The Attempt at a Solution



Im stuck

 
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  • #2
when the force is doubled, so is the acceleration (since F=m*a) ..
it is said that all else remaining the same (x is the same for both cases) ..

and you have for your first case:
vo = 0 m/s , vf = 25 m/s , a = a m/s^2 , x = x m

for the second case:
vo = 0 m/s , vf = ? m/s , a = 2a m/s^2 , x = x m


hint: there is one of the kinematic equations you can use to find your answer .. :)
 
  • #3
Try think about how the force and distance involved in accelerating the arrow is related to the work imposed on the arrow, and then how this work is related to kinetic energy and speed of the arrow.
 

1. What is a simple force problem?

A simple force problem is a question or scenario that involves the application of Newton's laws of motion to determine the resulting force(s) on an object. These problems typically involve an object or system that is at rest or moving at a constant velocity, and require the use of basic mathematical equations to solve.

2. How do I solve a simple force problem?

To solve a simple force problem, you first need to identify all of the forces acting on the object or system in question. Then, you can use Newton's second law (F=ma) to calculate the net force and determine the resulting motion. It is also helpful to draw a free body diagram to visually represent all of the forces involved.

3. What are some common types of simple force problems?

Some common types of simple force problems include problems involving objects on inclined planes, problems involving two or more objects connected by a rope or string, and problems involving objects in contact with each other.

4. Can you provide an example of a simple force problem and its solution?

Sure! Let's say we have a 10 kg box sitting on a ramp inclined at 30 degrees. The coefficient of friction between the box and the ramp is 0.2. What is the net force on the box and its resulting acceleration? To solve this, we would first draw a free body diagram showing the weight of the box, the normal force from the ramp, and the force of friction. We can then use Newton's second law to calculate the net force and solve for acceleration. The net force would be equal to the weight of the box (98 N) minus the force of friction (19.6 N), resulting in a net force of 78.4 N. Using F=ma, we can then calculate the acceleration to be 7.84 m/s^2.

5. What are some tips for solving simple force problems?

Some tips for solving simple force problems include: carefully labeling all forces in your free body diagram, setting up equations for each axis (x and y) separately, double-checking your units and calculations, and practicing with a variety of problems to become more familiar with the process.

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