Calculating Forces and Work on a Sliding Piano

In summary, a 393 kg piano slides 3.7 m down a 27° incline and is stopped from accelerating by a man pushing back on it parallel to the incline. The effective coefficient of kinetic friction is 0.40. The force exerted by the man, work done by the man on the piano, work done by the friction force, work done by the force of gravity, and the net work done on the piano can all be calculated using the work energy theorem equation. The different segments in the equation, such as change in kinetic energy and change in potential energy, should be understood to solve the problem. Further help can be provided if needed.
  • #1
VoxFox
1
0
A 393 kg piano slides 3.7 m down a(n) 27° incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is 0.40.
(a) Calculate the force exerted by the man.
(b) Calculate the work done by the man on the piano.
(c) Calculate the work done by the friction force.
(d) Calculate the work done by the force of gravity.
(e) Calculate the net work done on the piano.
 
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  • #2
What have you done so far on the question? Can you post it please? What are your ideas on how to attack it? We can guide you from there. But not do a whole problem from scratch for you.
 
  • #3
the whole problem can be solved by using one equation, the work energy theorem:
[tex] \Delta W = \Delta E_k + \Delta E_g + \Delta E_s + \Delta E_f + F_man [/tex]

you should know what each segment eans in the equation.
for ex. [tex] \Delta E_k = \frac{1}{2}m{v_{2}}^2 - \frac{1}{2}m{v_{1}}^2 [/tex]
[tex] \Delta E_p = mgh_2 - mgh_1 [/tex]

If you need more help, please indicate which part of the problem you don't understand.

Regards,

Nenad
 

Related to Calculating Forces and Work on a Sliding Piano

1. How do I calculate the force required to move a sliding piano?

The force required to move a sliding piano can be calculated using Newton's Second Law, which states that force is equal to mass times acceleration (F=ma). First, determine the mass of the piano. Then, measure the acceleration of the piano as it slides. Finally, multiply the mass by the acceleration to calculate the force required.

2. What factors affect the amount of force needed to move a sliding piano?

The amount of force needed to move a sliding piano can be affected by several factors, including the weight of the piano, the surface it is sliding on, and the force of friction between the piano and the surface. Other factors such as the angle of the incline and any external forces acting on the piano can also impact the required force.

3. How do I calculate the work done on a sliding piano?

The work done on a sliding piano can be calculated using the formula W=Fd, where W is work, F is force, and d is the distance the piano slides. First, calculate the force required to move the piano using Newton's Second Law. Then, measure the distance the piano slides. Finally, multiply the force by the distance to determine the work done.

4. Why is it important to calculate the forces and work involved in moving a sliding piano?

Calculating the forces and work involved in moving a sliding piano is important for several reasons. It allows us to determine the amount of force and work required in different scenarios, which can help us optimize our efforts and prevent injury. Additionally, understanding the physics involved in moving a sliding piano can help us make informed decisions and come up with effective solutions for moving heavy objects in general.

5. How can I minimize the force and work needed to move a sliding piano?

To minimize the force and work needed to move a sliding piano, there are a few strategies that can be employed. Firstly, reducing the weight of the piano by removing any unnecessary items can make it easier to move. Additionally, using lubricants or reducing the surface friction can also decrease the required force. Lastly, finding the optimal angle for the incline and using proper lifting and pushing techniques can also help minimize the force and work needed to move the piano.

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