The problem describes a pile driver used in construction. It has two parts: i) Given the mass of the pile driver's hammer ($m = 3000 kg$), calculate its weight ($W$) using the gravitational acceleration ($g = 10 m/s^2$). ii) What method is used to minimize energy loss when the hammer strikes the pile?

Applied MathematicsPhysicsWeight CalculationEnergy LossEngineering
2025/3/24

1. Problem Description

The problem describes a pile driver used in construction. It has two parts:
i) Given the mass of the pile driver's hammer (m=3000kgm = 3000 kg), calculate its weight (WW) using the gravitational acceleration (g=10m/s2g = 10 m/s^2).
ii) What method is used to minimize energy loss when the hammer strikes the pile?

2. Solution Steps

i) Calculation of Weight
The weight of an object is calculated using the formula:
W=mgW = mg
Where WW is the weight, mm is the mass, and gg is the acceleration due to gravity.
Given m=3000kgm = 3000 kg and g=10m/s2g = 10 m/s^2.
W=3000kg10m/s2=30000NW = 3000 kg * 10 m/s^2 = 30000 N
ii) Method to minimize energy loss:
From the diagram, the metal weight (hammer) falls along a pole and hits the pile. To minimize energy loss during impact, a metal sleeve is used to guide the falling hammer. This limits sideways movement or bouncing and concentrates the energy transfer directly into the pile.

3. Final Answer

i) The weight of the pile driver's hammer is 30000N30000 N.
ii) A metal sleeve/guide is used to minimize energy loss when the hammer strikes the pile. This ensures that the force is directed downwards without sideways movement or bouncing.

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