Acrane lifts a 425 kg steel beam vertically upward a distance of 98 m. how much work does the crane do on the beam if the beam accelerates upward at 1.8 m/s^2? neglect frictional forces. a) 2.8 x 10^5j b) 4.1 x 10^5j c) 4.8 x 10^5j d) 3.3 x 10^5j

The correct sentence is B) 4.1 x 10^5J

Explanation:

In classical mechanics, it is said that a force performs work when there is a displacement of its point of application in the direction of said force. The work of the force on that body will be equivalent to the energy needed to move it1. Therefore, it is said that a certain mass has energy when that mass has the capacity to produce a job; Moreover, with this statement it follows that there is no work without energy. Therefore, it is said that coal, gasoline, electricity, atoms are sources of energy, because they can produce some work or become another type of energy; To understand this, the universal principle of energy is taken into account, according to which energy is not created or destroyed, only transformed.2 Work is a scalar physical quantity that is represented by the letter  W (Work English) and is expressed in units of energy, this is in joules or joules (J) in the International System of Units.

Therefore the work is obtained by multiplying the weight of the load by the acceleration of gravity and the distance traveled in the direction of the force:

W= 425kg × (9.81m/s²) × 98m= 408586.5J ≈ 4.1 × 10^5J