Question

СРОЧНОГруз какой массы может поднять подъемная машина на высоту 20 м за 2 мин, если ее мощность составляет 20 кВт.

Answer 1

Дано:                           Решение:
N=20кВт=20000Вт        A=Nt; А=FS;F=A:S F=mg; m=F:g
S=20 м                         А= 20000Вт*60с= 1200000Дж 
t=2 мин=60с                 F=   1200000Дж: 20м= 60000Н
m -?                              m=60000H:10Н/кг= 6000кг= 6т
Ответ: 6 т

Answer 2

Calculation of the Maximum Weight a Crane Can Lift

To calculate the maximum weight a crane can lift, we need to consider the power of the crane and the time it takes to lift the load to a certain height. In this case, we are given that the power of the crane is 20 kW and it takes 2 minutes to lift the load to a height of 20 meters.

To calculate the maximum weight, we can use the formula:

Maximum Weight = Power × Time / Height

Substituting the given values:

Maximum Weight = 20 kW × 2 min / 20 m

Converting minutes to seconds (1 min = 60 s):

Maximum Weight = 20 kW × 120 s / 20 m

Simplifying the equation:

Maximum Weight = 1200 kW·s / 20 m

Maximum Weight = 60 kN

Therefore, the maximum weight the crane can lift to a height of 20 meters in 2 minutes, with a power of 20 kW, is 60 kN.

Please note that the above calculation assumes ideal conditions and does not take into account factors such as friction, wind resistance, or the weight of the crane itself. Real-world lifting capacities may vary depending on various factors and safety considerations.