Question

Два шкафа изготовлены из одного материала. Объём первого шкафа — 0,2 куб. м, а объём второго шкафа — 250 куб.см. На какой шкаф действует большая сила тяжести и во сколько раз? Ответ: большая сила тяжести действует на ( ) шкаф и она больше в( ) раз.

Answer 1

M=pV
p1=p2
V1=0.2
V2=250×10^-6
P=mg=pVg сила тяжести
P1/P2=pV1g/pV2g=V1/V2=800
P1=800P2

Answer 2

Calculation of the Volume of the Cabinets

To determine which cabinet experiences a greater gravitational force, we first need to calculate the volume of each cabinet.

The volume of the first cabinet is given as 0.2 cubic meters.

The volume of the second cabinet is given as 250 cubic centimeters.

To compare the volumes, we need to convert the volume of the second cabinet from cubic centimeters to cubic meters.

Since 1 cubic meter is equal to 1,000,000 cubic centimeters, we can convert the volume of the second cabinet as follows:

Volume of the second cabinet in cubic meters = 250 cubic centimeters ÷ 1,000,000 = 0.00025 cubic meters.

Comparison of Gravitational Forces

Now that we have the volumes of both cabinets, we can compare the gravitational forces acting on each cabinet.

The gravitational force acting on an object is directly proportional to its mass. Since the cabinets are made of the same material, their masses will be directly proportional to their volumes.

Therefore, the cabinet with the greater volume will experience a greater gravitational force.

In this case, the second cabinet has a greater volume than the first cabinet. Therefore, the second cabinet will experience a greater gravitational force.

To determine the ratio of the gravitational forces, we can divide the volume of the second cabinet by the volume of the first cabinet:

Ratio of gravitational forces = Volume of the second cabinet / Volume of the first cabinet = 0.00025 cubic meters / 0.2 cubic meters.

Calculating this ratio, we find that the gravitational force acting on the second cabinet is 0.00125 times greater than the gravitational force acting on the first cabinet.

Therefore, the second cabinet experiences a greater gravitational force, and this force is greater by a factor of approximately 0.00125.

Please note that the calculations provided above are based on the given information and assumptions made about the cabinets' uniform density and the gravitational field strength.