Question

Летательный аппарат, совершает вертикальную посадку на поверхность Земли, равномерно уменьшается свою скорость от V= 20м/с до 0 за 1 секунд .Чему равен вес пилота массой M= 80 кг при посадке ?Какой коэффициент перегрузки?

Answer 1

DV=20 м/с; a=dV/dt; a=20/1=20 м/с^2; Это ускорение направлено вверх, а значит общее ускорение будет a(общ)=9,8+20=29,8 м/с^2. Вес пилота будет P=m*a; P=80*29,8=2384 Н; Коэффицент перегрузки будет K=(P-mg)/mg; K=(2384-80*9.8)/9.8=2 G
Ответ: P=2384 Н; K=2 G

Answer 2

Ускорение аппарата:
a=ΔV/Δt=20м/с²

P=N - вес равен по определению силе реакции опоры.

2 закон Ньютона в проеции на вертикаль:
N-mg=ma, отсюда вес равен:
P=N=m*(g+a)=80*(10+20)=2 400 (Н)

Коэффициент перегрузки:
n=(P-mg)/mg=a/g= 20/10=2

Answer 3

Calculation of Weight of the Pilot during Landing

To calculate the weight of the pilot during landing, we can use the equation:

F = m * V^2 / R Where: - F is the force acting on the pilot (weight) - m is the mass of the pilot (80 kg) - V is the velocity of the aircraft (20 m/s) - R is the rate of change of velocity (deceleration)

Given that the velocity decreases from 20 m/s to 0 m/s in 1 second, we can calculate the rate of change of velocity (R) as:

R = (V_final - V_initial) / t

Where: - V_final is the final velocity (0 m/s) - V_initial is the initial velocity (20 m/s) - t is the time taken for the change in velocity (1 second)

Substituting the values into the equation, we get:

R = (0 - 20) / 1 = -20 m/s^2

Now, we can substitute the values of m, V, and R into the equation to calculate the weight of the pilot:

F = 80 kg * (20 m/s)^2 / -20 m/s^2

Simplifying the equation, we get:

F = -8000 N

Therefore, the weight of the pilot during landing is -8000 N.

Calculation of the Load Factor (Coefficient of Overload)

The load factor, also known as the coefficient of overload, is a measure of the force experienced by an aircraft or pilot during maneuvers. It is calculated using the equation:

n = F / (m * g) Where: - n is the load factor - F is the force acting on the pilot (weight) - m is the mass of the pilot (80 kg) - g is the acceleration due to gravity (approximately 9.8 m/s^2)

Substituting the values of F and m into the equation, we get:

n = (-8000 N) / (80 kg * 9.8 m/s^2)

Simplifying the equation, we get:

n = -10

Therefore, the load factor (coefficient of overload) during landing is -10.

Please note that the negative sign indicates that the force is acting in the opposite direction to the force of gravity.