Question

МНОГО БАЛЛОВ С РЕШЕНИЕМ автомобиль массой 500 кг, двигаясь прямолинейно равнозамедленно, прошел до полной остановки расстояние в 50 метров за 10 секунд. Определите величину силы торможения, действующей на автомобиль

Answer 1

Fторможения = F
m=500 кг
S=50 м
t=10 c
  
F-?


F=ma
S=V(н)t-at^2/2 (1)
V(конечная) = 0   
V(к)=V(начальная)-at
V(н)=at    (2)


Подставляем 2 в 1 
S=at^2-at^2/2
Избавляемся от знаменателей 
2S=2at^2-at^2
Отсюда a=2S/t^2

Подставляем  а в F
F=m*2S/t^2=500*100/100=500H

Answer 2

Problem Analysis

We are given the following information: - Mass of the car: 500 kg - Distance traveled: 50 meters - Time taken: 10 seconds

We need to determine the magnitude of the braking force acting on the car.

Solution

To find the magnitude of the braking force, 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.

In this case, the car is decelerating (slowing down), so the acceleration is negative. We can calculate the acceleration using the formula:

acceleration = (final velocity - initial velocity) / time

Since the car comes to a complete stop, the final velocity is 0 m/s. The initial velocity can be calculated using the formula:

initial velocity = distance / time

Substituting the given values, we can find the initial velocity. Then, we can calculate the acceleration and finally, the magnitude of the braking force using Newton's second law.

Let's calculate the solution step by step:

1. Calculate the initial velocity: - Distance = 50 meters - Time = 10 seconds - Initial velocity = distance / time

2. Calculate the acceleration: - Final velocity = 0 m/s - Acceleration = (final velocity - initial velocity) / time

3. Calculate the magnitude of the braking force: - Braking force = mass * acceleration

Let's calculate the solution:

Calculation

1. Calculate the initial velocity: - Distance = 50 meters - Time = 10 seconds - Initial velocity = 50 / 10 = 5 m/s

2. Calculate the acceleration: - Final velocity = 0 m/s - Acceleration = (0 - 5) / 10 = -0.5 m/s^2

3. Calculate the magnitude of the braking force: - Mass = 500 kg - Braking force = 500 * (-0.5) = -250 N

Answer

The magnitude of the braking force acting on the car is 250 N.

Please note that the negative sign indicates that the force is acting in the opposite direction of motion, which is the direction of deceleration.