How Do You Calculate Initial Acceleration in Newton's Laws Problems?

In summary, the problem involves a 56 kg ice skater moving at 0.5 m/s while holding a cardboard that is being pushed by a constant and horizontal wind for 5.0 seconds with a force of 2.1 N. The question asks for the initial acceleration of the skater once the wind starts blowing. The solution is found by dividing the force by the mass (2.1/56).
  • #1
Bensky
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[SOLVED] Need help on a Newton's Laws problem :(

Homework Statement



A 56 kg ice skater holds up a large sheet of cardboard that can catch the wind and drive her (frictionlessly) across the ice. While she's moving at 0.5 m/s, a wind that is constant and horizontal for 5.0 s exerts a force on the cardboard of 2.1 N. What is the skater's initial acceleration once the wind begins to blow?

Homework Equations


f=ma
a=change in velocity/change in time


The Attempt at a Solution



I'm not sure how to find the initial acceleration. I know how to find the average acceleration though.
 
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  • #2
Nevermind, figured it out on my own:
Just have to do: 2.1/56

>_< why did i think this was hard...
 
  • #3
Can someone please help?

Hello there,

It seems like you are trying to apply Newton's Second Law of Motion (F=ma) to solve this problem. In this case, the force (2.1 N) is given and the mass (56 kg) is known, so you can rearrange the equation to solve for acceleration (a).

a = F/m

a = 2.1 N / 56 kg

a = 0.0375 m/s^2

This is the average acceleration over the 5 seconds that the wind is blowing. To find the initial acceleration, you can use the equation a=change in velocity/change in time. Since the skater is initially moving at 0.5 m/s and there is no initial force acting on her, the initial acceleration would be 0 m/s^2.

I hope this helps. Keep practicing and you will become more familiar with applying Newton's Laws to solve problems. Good luck!
 

FAQ: How Do You Calculate Initial Acceleration in Newton's Laws Problems?

What are Newton's Laws?

Newton's Laws are three fundamental principles of physics that describe the motion of objects. They were developed by Sir Isaac Newton in the 17th century and are considered the foundation of classical mechanics.

What is the first law of motion?

The first law of motion, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an external force.

What is the second law of motion?

The second law of motion, also known as the law of acceleration, states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. This can be expressed as F=ma, where F is force, m is mass, and a is acceleration.

What is the third law of motion?

The third law of motion, also known as the law of action and reaction, states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object will exert an equal and opposite force back on the first object.

How can Newton's Laws be applied to real-life situations?

Newton's Laws can be applied to many aspects of everyday life, such as understanding the motion of objects, designing vehicles and structures, and predicting the behavior of projectiles. They are also essential in fields like engineering, astronomy, and sports science.

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