Work Energy Problem: Calculate Fg and m in Constant Velocity Scenario

In summary, the force of gravity (Fg) in a constant velocity scenario can be calculated using the equation Fg = mg, where m is the mass of the object and g is the acceleration due to gravity. In this scenario, the net force is zero and the work-energy relationship can be used to simplify calculations and determine the energy of an object, which is solely dependent on its velocity. The force of gravity remains constant and the work-energy relationship can be used to solve for various variables in this scenario.
  • #1
TheRedDevil18
408
1

Homework Statement



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Homework Equations



W=F*delta x
Fg = mg

The Attempt at a Solution


I just want to know if my answer is correct for question 4.1.2:

W=Fapp*delta x
377860 = Fapp*70
Fapp = 5398N

Fnet = 0 (constant velocity)

Fnet = 0
5398-8-Fg=0
Fg = 5390

Fg = mg
5390 = m*9.8
m = 550kg

Correct ?
 
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  • #2
looks good!
 
  • #3
So is everything correct and the mass is definitely 550kg ?
 
  • #4
TheRedDevil18 said:
So is everything correct and the mass is definitely 550kg ?
Why sure, your work is good.
 
  • #5


Your answer appears to be correct. Remember, in a constant velocity scenario, the net force is equal to zero, so the force of gravity (Fg) must be equal and opposite to the applied force (Fapp). Your calculations show that Fg is equal to 5390 N and the mass (m) is equal to 550 kg, which is consistent with the given information. Keep in mind that the units for force are typically written as Newtons (N), not kg, so it would be more accurate to say that the mass is 550 kg and the force is 5390 N. Overall, your solution is well thought out and correct. Great job!
 

Related to Work Energy Problem: Calculate Fg and m in Constant Velocity Scenario

1. How do you calculate the force of gravity (Fg) in a constant velocity scenario?

The force of gravity can be calculated using the equation Fg = mg, where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s^2 on Earth). This equation is derived from Newton's second law, F = ma, where F is the net force acting on the object and a is the acceleration.

2. What is the significance of the constant velocity scenario in work energy problems?

In a constant velocity scenario, the net force acting on the object is zero, meaning there is no acceleration. This allows us to simplify the calculations and focus on the work-energy relationship, which states that the work done on an object is equal to its change in kinetic energy. This relationship can be expressed as W = ΔKE = ½mv^2.

3. How does the mass (m) of an object affect its energy in a constant velocity scenario?

In a constant velocity scenario, the mass of an object does not affect its energy. This is because the work done on an object is equal to its change in kinetic energy, and the mass remains constant. Therefore, the energy of an object in a constant velocity scenario is solely dependent on its velocity.

4. Can the force of gravity (Fg) change in a constant velocity scenario?

No, the force of gravity remains constant in a constant velocity scenario. This is because the acceleration due to gravity (g) is a constant value and does not change unless the location or mass of the object is changed.

5. How can the work-energy relationship be used to solve problems in a constant velocity scenario?

The work-energy relationship can be used to solve for various variables in a constant velocity scenario. For example, if the mass and velocity of an object are known, the work done on the object can be calculated using the equation W = ½mv^2. If the work done on an object is known, the change in its kinetic energy can be calculated using the equation ΔKE = W. This relationship can also be used to determine the force of gravity acting on an object if its mass and velocity are known.

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