Question

two strongmen, Thor and Hulkare trying to figure who is more powerful. They are both going to 2500kg straight over their heads. Thor, not as as hulk, must lift the weight to a height of 2.5m. Hulk must lift the weight to a height of 4.7m

Answer 1

The question asks to compare the work done by two strongmen, Thor and Hulk, lifting the same weight to different heights. Work in physics is calculated by multiplying the force by the displacement. Hulk, lifting to a greater height, would perform more work, assuming all other factors are equal.

Step-by-step explanation:

The question relates to the concept of work done in physics, where two individuals, Thor and Hulk, are trying to determine who is more powerful by lifting a weight of 2500kg to different heights. In the field of physics, work is calculated as the product of force and displacement in the direction of the force. Given that both Thor and Hulk are lifting the same weight (therefore exerting the same force to overcome gravity), the work done can be calculated for each individual by multiplying the weight (force in newtons, with 1kg equivalent to 9.81 N due to gravity) by the height (displacement) to which they lift the weight.

To calculate the work done by each strongman:

• Convert the mass of the weight to newtons (2500kg × 9.81m/s²)
• Multiply that force by the respective heights (Thor: 2.5m, Hulk: 4.7m)

The strongman who lifts the weight to the greater height will have done more work, which in this case would be Hulk if all other factors are equal.

Answer 2

Given,

The mass lifted by the Thor and the Hulk, m=2500 kg

The height to which the Thor lifts the mass, h=2.5 m

The height to which the Hulk lifts the mass, H=4.7 m

The time it takes for Thor to lift the mass, t=1.7 s

The time it takes for Hulk to lift the mass, T=2.8 s

The work is the measure of the transfer of energy.

The work done in lifting a mass can be calculated as the difference between the energy of the mass at the ground level and at the height to which the mass is lifted.

Thus the work done by Thor is given by,

`W_T=\text{mgh}`

Where g is the acceleration due to gravity.

On substituting the known values,

`\begin{gathered} W_T=2500*9.8*2.5 \\ =61.25\text{ kJ} \end{gathered}`

Thus the work done by Thor is 61.25 kJ

The work done by Hulk is given by,

`W_H=\text{mgH}`

On substituting the known values,

`\begin{gathered} W_H=2500*9.8*4.7 \\ =115.15\text{ kJ} \end{gathered}`

Thus the work done by Hulk to lift the mass is 115.15 kJ

Power is the time rate of transfer of energy.

Thus the power dissipated by thor to lift the mass is given by,

`P_T=(W_T)/(t)`

On substituting the known values,

`\begin{gathered} P_T=\frac{61250_{}}{1.7} \\ =36.03\text{ kW} \end{gathered}`

The power dissipated by Hulk to lift the mass,

`P_H=(W_H)/(T)`

On substituting the known values,

`\begin{gathered} P_H=(115150)/(2.8) \\ =41.13\text{ kW} \end{gathered}`

On comparing the power dissipated by Thor and Hulk, it is clear that Hulk is more powerful than Thor.

On subtracting the power of Thor from the power of Hulk,

`\begin{gathered} P=P_H-P_T \\ =41.13-36.03 \\ =5.1\text{ kW} \\ =5100\text{ W} \end{gathered}`

Thus Hulk is more powerful than Thor by 5100 W.

Thus the 1st option is the correct answer.