Calculating Work Done: 25lb Force at 60 Degrees on Object - Find Distance Moved

In summary, to determine the distance an object moved with a force of 25lb and an angle of 60 degrees, we need to use the equation for work which relates force and distance. The work done by the force is 125ft-lb, and the distance can be calculated by dividing the work by the magnitude of the force, which gives us a result of 5ft. Therefore, the correct answer is a - 5ft.
  • #1
jcamaross
5
0
an applied force of 25lb acts on an object at an angle of 60 degrees with respect to the direction of its motion. if the work done by this force on the object is 125ft-lb,then what distance did it move while this work was done

a- 5ft
b- 10ft
c-15ft
d-20ft
e-25ft
 
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  • #2
You'll need to try to work it out and show your attempt before we can assist. What is the definition of Work?
 
  • #3
I am not sure how to start it off. I know work is the total amount of energy
 
  • #4
Work done by an applied force is total change in energy, but that doesn't help here. There is a definition of work that relates force and distance. Can you find that equation somewhere in your notes/text/reference data/on-line?
 
  • #5


To calculate the distance moved by the object, we can use the formula W = Fd cosθ, where W is the work done, F is the applied force, d is the distance moved, and θ is the angle between the force and the direction of motion. In this case, we know that W = 125ft-lb, F = 25lb, and θ = 60 degrees. We can rearrange the formula to solve for d, which gives us d = W / (F cosθ). Plugging in the values, we get d = 125ft-lb / (25lb cos60) = 125ft-lb / (25lb * 0.5) = 10ft. Therefore, the distance moved by the object is 10ft. Option b- 10ft is the correct answer.
 

Related to Calculating Work Done: 25lb Force at 60 Degrees on Object - Find Distance Moved

1. What is an applied force problem?

An applied force problem is a type of physics problem that involves determining the resulting force on an object after one or more forces have been applied to it. This type of problem is commonly found in mechanics and can involve various types of forces, such as frictional forces, gravitational forces, and normal forces.

2. How do I solve an applied force problem?

To solve an applied force problem, you will need to follow a systematic approach. First, identify all the forces acting on the object, including their magnitudes and directions. Then, use Newton's laws of motion to determine the net force on the object. Finally, use this net force to calculate the acceleration, velocity, or displacement of the object.

3. What are some common mistakes when solving applied force problems?

One common mistake when solving applied force problems is forgetting to consider all the forces acting on the object. It is important to carefully analyze the problem and identify all the forces involved. Another mistake is using incorrect formulas or equations. Make sure to use the appropriate equations based on the type of forces and motion involved.

4. How can I check my answer for an applied force problem?

To check your answer for an applied force problem, you can use the principle of conservation of energy or momentum. If the forces acting on the object are conservative, you can check if the initial and final energies or momentums are equal. Additionally, you can use real-world scenarios or examples to see if your answer makes sense.

5. What real-life applications involve applied force problems?

Applied force problems have many real-life applications, including designing structures, calculating the motion of objects in sports or amusement park rides, and understanding the behavior of machines and vehicles. They are also used in fields such as engineering, architecture, and physics research.

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