Question

Подьемник мощностью 20 квт поднимает груз со скоростью 0.4 м/с. Чему равна масса груза?

Answer 1

$N=Fv=mgv \\\ m= \frac{N}{gv} \\\ m= \frac{20000}{10\cdot0.4} = 5000(kg)$
Ответ: 5000кг

Answer 2

N=A/t=F*S/t=m*g*v*t/t=m*g*v=>
m=N/g*v=20000/10*0,4=5000 кг

Answer 3

Calculation of the Mass of the Load

To calculate the mass of the load being lifted by a lift with a power of 20 kW and a speed of 0.4 m/s, we can use the formula:

Power (P) = Force (F) × Velocity (V)

In this case, the power is given as 20 kW and the velocity is given as 0.4 m/s. We need to find the force, which can be calculated by rearranging the formula:

Force (F) = Power (P) / Velocity (V)

Substituting the given values:

Force (F) = 20 kW / 0.4 m/s

To proceed with the calculation, we need to convert the power from kilowatts (kW) to watts (W). Since 1 kW is equal to 1000 W, the power can be expressed as:

Power (P) = 20 kW × 1000 = 20,000 W

Now we can substitute the values into the formula:

Force (F) = 20,000 W / 0.4 m/s

Simplifying the equation:

Force (F) = 50,000 N

The force required to lift the load is 50,000 Newtons (N). To find the mass of the load, we can use Newton's second law of motion:

Force (F) = Mass (m) × Acceleration (a)

In this case, the acceleration is the acceleration due to gravity, which is approximately 9.8 m/s². Rearranging the formula:

Mass (m) = Force (F) / Acceleration (a)

Substituting the values:

Mass (m) = 50,000 N / 9.8 m/s²

Calculating the mass:

Mass (m) ≈ 5102 kg

Therefore, the mass of the load being lifted by the lift is approximately 5102 kilograms.