How Fast Does a Block Travel on a Frictionless Surface After 3.7 Seconds?

In summary, a 3.70 kg block located on a horizontal frictionless floor is pulled by a cord at an angle of 25.0° above the horizontal with a force of 13.0 N. To determine the block's speed 3.70 seconds after it starts moving, we need to use Newton's 2nd law and solve for acceleration using the horizontal component of the applied force.
  • #1
BrettL789123
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Block on frictionless floor!

A 3.70 kg block located on a horizontal frictionless floor is pulled by a cord that exerts a force F=13.0 N at an angle q= 25.0° above the horizontal, as shown.





What is the speed of the block 3.70 seconds after it starts moving?

I have drawn a picture but have no idea what equation to start with. know you solve for aceeleration, then once you have accel. you just solve for Vfinal
 
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  • #2


This involves force, mass and a change in speed. What principle of law relates these physcial concepts?
 
  • #3


Newtons 2nd law
 
  • #4


so what now? i know the equations but don't konw how to get acceleration cuase of the theta stuff
 
  • #5


Assuming the vertical component is not sufficient to lift the block off the floor, use the 2nd law with the horizontal component of the applied force.
 

FAQ: How Fast Does a Block Travel on a Frictionless Surface After 3.7 Seconds?

1. What is a block on a frictionless floor?

A block on a frictionless floor is a theoretical scenario in which a block is placed on a surface with no friction, allowing it to move with constant velocity without any external forces acting on it. This concept is often used in physics and engineering to simplify calculations and understand the behavior of objects in motion.

2. How does a block on a frictionless floor move?

Since there is no friction between the block and the floor, the block will continue to move with a constant velocity in a straight line until acted upon by an external force. This is known as Newton's first law of motion.

3. Can a block on a frictionless floor ever come to a stop?

In theory, no. Since there is no friction to slow down the block, it will continue to move at a constant velocity forever. However, in real-world scenarios, there will always be some external forces such as air resistance that will eventually cause the block to come to a stop.

4. How does the mass of the block affect its motion on a frictionless floor?

The mass of the block does not affect its motion on a frictionless floor. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Since there is no net force acting on the block, its mass does not play a role in its motion.

5. What are the practical applications of a block on a frictionless floor?

The concept of a block on a frictionless floor is often used in studying and understanding the motion of objects in real-world scenarios. It is also used in engineering and design to simplify calculations and predict the behavior of objects in motion. Additionally, it is a common thought experiment used to demonstrate fundamental principles of physics like inertia and Newton's laws of motion.

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