Acceleration of a Truck with a Broken Chain: Finding the Resultant Force

In summary, a 3000kg truck is using a chain to drag a 500kg log at a constant speed of 10m/s. The friction between the ground and the log is 1000N. When the chain suddenly breaks, the net force on the truck and log is zero. This means that the resultant of the horizontal forces is also zero. Further analysis of the free body diagrams for the truck and log before the chain broke can help determine the acceleration of the truck.
  • #1
Thegiver431
13
1

Homework Statement


A 3000kg truck uses a chain to drag a 500kg log down a road at a constant speed of 10m/s. The friction between the ground and the log is 1000N. If the chain suddenly breaks, what is the acceleration of the truck?[/B]

Homework Equations


a=F/m[/B]

The Attempt at a Solution


I was plugging it in and i noticed that there it is not given for the force and i don't how to find the force to do the above equation. I really need help.[/B]
 
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  • #2
Thegiver431 said:
friction between the ground and the log is 1000N. If the chain suddenly breaks
Step 1: read the problem statement. Step 2: if it appears there's something missing, reread the problem statement.
 
  • #3
Bystander said:
Step 1: read the problem statement. Step 2: if it appears there's something missing, reread the problem statement.
Yes but In general I don't get it, it would be helpful if i can have some help :)
 
  • #4
There is a force of 1kN on the chain. What parts of the system is that force acting upon?
 
  • #5
hmmm.. ok
 
  • #6
Thegiver431 said:
hmmm.. ok
Before the chain broke, the truck and log was maintaining a steady speed. What does that tell you about what the engine is doing?
 
  • #7
could we say that the net force is only the frictional force since the speed of the truck is constant ?
 
  • #8
Maged Saeed said:
could we say that the net force is only the frictional force since the speed of the truck is constant ?
No. If the velocity is constant then the net force is ... ?
 
  • #9
Have you drawn separate free body diagrams on the log and on the truck to understand the situation prior to the chain breaking. What forces were acting on the log at that time? What forces were acting on the truck at that time?

Chet
 
  • #10
haruspex said:
No. then the net force is ... ?
Oh,, the net force is zero , here .
 
  • #11
Maged Saeed said:
Oh,, the net force is zero , here .
Right. And that zero net force is the resultant of what horizontal forces?
 

Related to Acceleration of a Truck with a Broken Chain: Finding the Resultant Force

1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. In simpler terms, it is how fast an object's speed is increasing or decreasing.

2. How is acceleration calculated?

Acceleration is calculated by dividing the change in velocity by the change in time. The formula for acceleration is (final velocity - initial velocity) / time.

3. How does acceleration affect the truck?

Acceleration affects the truck by changing its speed and potentially its direction. If the truck is accelerating, it will increase its speed. If the truck is decelerating, it will decrease its speed. Acceleration also affects the truck's ability to overcome resistance and maintain its momentum.

4. What factors can impact the acceleration of a truck?

There are several factors that can impact the acceleration of a truck, including the truck's weight, engine power, road conditions, and air resistance. The heavier the truck is, the more force is needed to accelerate it. A more powerful engine can also impact acceleration, as well as the type of road surface the truck is driving on. Air resistance can also play a role in slowing down the truck's acceleration.

5. How does acceleration relate to other principles of physics?

Acceleration is closely related to other principles of physics, such as Newton's laws of motion and force. According to Newton's second law of motion, acceleration is directly proportional to the force applied to an object and inversely proportional to its mass. This means that the greater the force applied to the truck, the greater its acceleration will be, and the heavier the truck is, the slower its acceleration will be.

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