Need guidance finding the total energy expanded in acceleration

In summary, the problem involves a horizontal force of 80N acting on a mass of 6 Kg, initially at rest, which covers a distance of 5m in 0.92s. With no energy losses, the acceleration is constant and the total energy expended in the acceleration can be calculated by finding the work done, which is equal to the force multiplied by the distance traveled. Alternatively, the velocity and acceleration can be calculated using the given equations and used to find the total energy expended.
  • #1
lew123189
13
0

Homework Statement



this is the scenario

A horizontal force of 80N acts on a mass of 6 Kg resting on a horizontal surface. The mass is initially at rest and covers a distance of 5m in 0.92s under the action of the force. Assuming there are no energy losses due to air resistance and therefore that the acceleration is constant

Calculate the total energy expanded in the acceleration

Homework Equations





The Attempt at a Solution



By total energy expanded do I need the:

Work done = force X distance = 80 X 5 = 400 joules

Or have I got to find something else?

Thanks
 
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  • #2
also i have tryed working out:

velocity = distance/ time = 5/0.92 = 5.43 ms -1

acceleration = change of velocity / time taken = 0 - 5.43 (final velocity) / 0.92 which is 5.902 m s -2
 

1. What is total energy expanded in acceleration?

The total energy expanded in acceleration refers to the amount of energy that is used in order to accelerate an object. This includes both the kinetic energy and the potential energy of the object.

2. How is total energy expanded in acceleration calculated?

The total energy expanded in acceleration can be calculated by using the equation E = 1/2mv^2 + mgh, where E is the total energy, m is the mass of the object, v is the velocity, g is the acceleration due to gravity, and h is the height of the object.

3. Why is it important to find the total energy expanded in acceleration?

Knowing the total energy expanded in acceleration is important because it helps us understand the amount of force and energy required to move an object. This information can be useful in designing and optimizing systems that involve acceleration, such as vehicles and machines.

4. What factors affect the total energy expanded in acceleration?

The total energy expanded in acceleration is affected by the mass of the object, the velocity at which it is accelerated, and the height at which it is lifted. Other factors such as air resistance and friction may also play a role in the total energy expended.

5. Can total energy expanded in acceleration be negative?

Yes, the total energy expanded in acceleration can be negative if the object is decelerating or moving in the opposite direction of the applied force. In this case, the kinetic energy of the object is decreasing and being converted into other forms of energy, resulting in a negative total energy expanded in acceleration.

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