Question

Космический корабль массой 10^6кг начинает подниматься вертикально вверх. Сила тяги его двигателей 2,94*10^7 Н. Определить ускорение корабля и вес тела ,находящегося в нем,если на Земле на тело действует сила тяжести 5,88*10^2Н.

Answer 1

M= 1000000кг
F=29400000Н
mg тела=588Н
P=mg=588Н
a=F/m= 29.4 м/с^2

Answer 2

Problem Analysis

We are given the mass of a spacecraft (10^6 kg), the thrust force of its engines (2.94 * 10^7 N), and the gravitational force acting on it on Earth (5.88 * 10^2 N). We need to determine the acceleration of the spacecraft and the weight of an object inside it.

Solution

To find the acceleration of the spacecraft, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, this can be expressed as:

F = m * a

Where: - F is the net force acting on the object - m is the mass of the object - a is the acceleration of the object

In this case, the net force acting on the spacecraft is the difference between the thrust force of its engines and the gravitational force acting on it:

F_net = F_thrust - F_gravity

Substituting the given values:

F_net = 2.94 * 10^7 N - 5.88 * 10^2 N

Now, we can use Newton's second law to find the acceleration:

F_net = m * a

Substituting the values:

2.94 * 10^7 N - 5.88 * 10^2 N = 10^6 kg * a

Simplifying the equation:

2.94 * 10^7 N - 5.88 * 10^2 N = 10^6 kg * a

To find the weight of an object inside the spacecraft, we can use the formula:

Weight = mass * gravitational acceleration

Substituting the given values:

Weight = 10^6 kg * 9.8 m/s^2

Calculation

Let's calculate the acceleration of the spacecraft and the weight of the object inside it.

Acceleration of the spacecraft: 2.94 * 10^7 N - 5.88 * 10^2 N = 10^6 kg * a

Weight of the object inside the spacecraft: Weight = 10^6 kg * 9.8 m/s^2

Answer

The acceleration of the spacecraft is 2.88 m/s^2 and the weight of the object inside it is 9.8 * 10^6 N.

Please note that the above calculations are based on the given information and assumptions.