A train with a mass of 120Mg accelerates uniformly on a horizontal track.The resistance to movement is 5N per KN of the mass of the train.the force in the draw bar of locomotive is 80KN..calculate:1force reqqured for constant speed. 2.the force that causes the acceleration 3.the acceleration.

1. The force required for constant speed can be calculated using the formula:

Force required for constant speed = Resistance to movement

Given that the resistance to movement is 5N per KN of the mass of the train, we can calculate the resistance:

Resistance = (5N/KN) x mass of the train
= (5N/KN) x 120 Mg

Now, we convert the mass from Mg to KG:

120 Mg = 120 x 1000 KG
= 120,000 KG

So, the force required for constant speed is:

Force required for constant speed = Resistance
= (5N/KN) x 120,000 KG

2. The force that causes the acceleration is given as 80 KN.

3. The acceleration can be calculated using Newton's second law of motion:

Force = mass x acceleration

Rearranging the formula, we get:

Acceleration = Force / mass

Given that the force is 80 KN and the mass is 120 Mg, we can calculate the acceleration:

Acceleration = 80 KN / 120 Mg

Now, we convert the mass from Mg to KG:

120 Mg = 120 x 1000 KG
= 120,000 KG

So, the acceleration is:

Acceleration = 80 KN / 120,000 KG

To solve this problem, we can follow these steps:

1. Calculate the force required for constant speed.
2. Determine the force that causes the acceleration.
3. Find the acceleration.

Step 1: Calculate the force required for constant speed.
The resistance to movement is given as 5N per KN of the mass of the train, which means it is directly proportional to the mass of the train.
Given the mass of the train is 120Mg, we need to convert it to kilograms (kg).
1Mg = 1000kg.
So, the mass of the train = 120Mg x 1000kg/Mg = 120,000kg.

The force required for constant speed is equal to the resistance to movement.
Force required for constant speed = Resistance to movement.
Force required for constant speed = 5N/KN x 120,000kg = 5N/KN x 120 KN = 600N.

Therefore, the force required for constant speed is 600N.

Step 2: Determine the force that causes the acceleration.
The total force acting on the train is the sum of the force required for constant speed and the force that causes the acceleration.
Total force = Force required for constant speed + Force that causes acceleration.
Force required for constant speed = 600N (from Step 1).
Force in the draw bar of the locomotive = 80KN = 80,000N.

Therefore,
Force that causes acceleration = Total force - Force required for constant speed.
Force that causes acceleration = 80,000N - 600N = 79,400N.

Step 3: Find the acceleration.
To find the acceleration, we can use Newton's second law of motion:
Force = mass x acceleration.
Rearranging the equation to isolate acceleration:
Acceleration = Force / mass.

Given:
Force that causes acceleration = 79,400N (from Step 2).
Mass of the train = 120,000kg (from Step 1).

Therefore,
Acceleration = 79,400N / 120,000kg = 0.6617 m/s^2.

Therefore, the acceleration is approximately 0.6617 m/s^2.

To calculate the required forces and acceleration, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma).

1. Force required for constant speed:
At constant speed, the net force acting on the train is zero. This means that the force of resistance must be equal and opposite to the force applied in the drawbar of the locomotive.

The force of resistance is given as 5N per KN of the mass of the train. Since the mass of the train is 120Mg (Mega-grams or million grams, 1Mg = 1000kg), we can convert it to kilograms by multiplying by 1000. So, the mass of the train is 120,000 kg.

The force of resistance can be calculated as:
Force of resistance = (5N/KN) * mass of the train
= 5N/KN * 120,000 kg
= 600,000 N
= 600 kN

Therefore, the force required for constant speed is 600 kN.

2. Force that causes the acceleration:
The force that causes the acceleration is the net force acting on the train. To calculate it, we subtract the force of resistance from the force in the drawbar of the locomotive.

Force that causes the acceleration = Force in the drawbar - Force of resistance
= 80 kN - 600 kN
= -520 kN (negative sign indicates opposite direction)

So, the force that causes the acceleration is -520 kN.

3. The acceleration:
Using Newton's second law of motion (F = ma), we can rearrange the equation to solve for acceleration:

Acceleration = Force that causes the acceleration / mass of the train
= (-520 kN) / 120,000 kg
= -4.33 m/s^2 (rounded to two decimal places)

Therefore, the acceleration is approximately -4.33 m/s^2, meaning the train is slowing down or decelerating.