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将两个体积相等的实心的铁块和铝块分别放入已经调节平衡的托盘天平两端，则天平将向______端倾斜；当向放铝块的托盘中加10.2g砝码时，天平又重新平衡，则铁块和...

Mar 19, 2024

将两个体积相等的实心的铁块和铝块分别放入已经调节平衡的托盘天平两端，则天平将向______端倾斜；当向放铝块的托盘中加10.2g砝码时，天平又重新平衡，则铁块和铝块的体积都是______立方厘米。

Solution

a

Determine which side the balance will tilt initially

b

Calculate the volume of the iron and aluminum blocks using the added mass to balance the scale

Answer

铁块端, 10.2

Key Concept

Static Equilibrium: Objects at rest and in equilibrium are in a state of static equilibrium. The condition for static equilibrium is that the net force and net torque acting on the object are both zero.

Explanation

Initially, the balance will tilt towards the iron block side because iron has a higher density than aluminum, resulting in a heavier block for the same volume. When 10.2g of mass is added to the aluminum side, the balance is restored, indicating that the weight difference between the iron and aluminum blocks is 10.2g. Since the volume is the same and the density of iron is known, we can calculate the volume using the mass difference and the densities of iron and aluminum.