Question

Какую силу надо приложить к вагону массой 16 тонн,чтобы увеличить его скорость с 4 м/с до 5 м/с за 4 секунды?

Answer 1

M=16 т =16000 кг             сила: F=ma;
v₁=4 м/с                         ускорение: a=(v-v₀)/t; тогда:
v₂=5 м/с                              F=m(v-v₀)/t;
t=4 c                                   F=16000(5-4)/4=16000*1/4=4000 H;
_______________           Ответ:  F=4000 H.
F-?

Answer 2

Calculation of the Force Required

To calculate the force required to increase the speed of a 16-ton wagon from 4 m/s to 5 m/s in 4 seconds, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, the acceleration can be calculated as the change in velocity (Δv) divided by the time taken (Δt).

The formula for force is:

F = m * a

Given: - Mass of the wagon (m) = 16 tons = 16,000 kg - Initial velocity (v1) = 4 m/s - Final velocity (v2) = 5 m/s - Time taken (Δt) = 4 seconds

To calculate the acceleration (a), we can use the formula:

a = (v2 - v1) / Δt

Substituting the given values:

a = (5 m/s - 4 m/s) / 4 s = 1 m/s / 4 s = 0.25 m/s².

Now, we can calculate the force (F) using the formula:

F = m * a

Substituting the given values:

F = 16,000 kg * 0.25 m/s² = 4,000 kg·m/s² = 4,000 N.

Therefore, a force of 4,000 Newtons (N) needs to be applied to the 16-ton wagon to increase its speed from 4 m/s to 5 m/s in 4 seconds.

Please note that the above calculation assumes a constant force is applied throughout the 4-second duration. In reality, the force required may vary depending on factors such as friction, air resistance, and the efficiency of the propulsion system.

I hope this helps! Let me know if you have any further questions.