Answer:
The work done is 8624 Joules
Explanation:
The work will be equivalent to the energy needed to move the body.
The work is a scalar magnitude represented by the symbol W and expressed in units of energy.
Formula to calculate work
Work is defined as the product of a force (F) applied to a body by its displacement (d) in the direction of this force:
W=F*d Equation 1
Data of problem:
mass=m=220kg, acceleration due gravity=9.8 m/s2, d=4m
F=Rock Weight= m*g=220kg *9.8[tex]\frac{m}{s^{2} }[/tex]=2156N
We replace the values of d and F in the equation (1)
W=2156N*4m
W=8624 N*m
W=8624
Answer: The work done is 8624 Joules
Work done is amount of energy required to lift the rock at a height by the hoist. The work done required to lift the rock at a height of 4 m is 8624 joules.
The amount of energy which is required to lift a object at a height is known as the work done of lifting an object.
It can be given as,
[tex]W=mgh[/tex]
Here, (m) is the mass of the object, (g) is the acceleration due to gravity and (h) is the height.
Given information-
The mass of the rock is 220 kg.
The hoist lifts the rock at a height of 4 m.
The acceleration due to gravity is 9.8 m/s squared.
To find the work done, put the values in the above formula as,
[tex]W=220\times 9.8\times4\\W=8624\rm J[/tex]
Hence the work done required to lift the hoist at a height of 4 m is 8624 joules.
Learn more about the work done to lift an object here;
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