How Do You Calculate the Net Force on a Moving Object Using Newton's Second Law?

In summary, the question asks to find the magnitude of the net force acting on a 3.00kg object moving in a plane, with its x and y coordinates given by x=5(t^2)-1 and y = 3(t^3) + 2, at t=2.00s. The equations F = ma and m\vec{a} can be used to calculate the force by taking the second derivative of the given functions for acceleration and solving for the vector.
  • #1
saber1357
67
1

Homework Statement


A 3.00kg object is moving in a plane, with its x and y coordinates given by x=5(t^2)-1 and y = 3(t^3) + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t=2.00s


Homework Equations



F = ma

The Attempt at a Solution



Can I take the second derivative of both those function to get the x and y coordinates of acceleration, plugging in t and then solving for the vector?
 
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  • #2
saber1357 said:

Homework Statement


A 3.00kg object is moving in a plane, with its x and y coordinates given by x=5(t^2)-1 and y = 3(t^3) + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t=2.00s


Homework Equations



F = ma

The Attempt at a Solution



Can I take the second derivative of both those function to get the x and y coordinates of acceleration, plugging in t and then solving for the vector?

yup. that gives acceleration. Then force is just [tex]m\vec{a}[/tex]
 
  • #3
Thank you <3
 

FAQ: How Do You Calculate the Net Force on a Moving Object Using Newton's Second Law?

What is Newton's Second Law?

Newton's Second Law, also known as the Law of Force and 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.

How do you calculate force using Newton's Second Law?

To calculate force using Newton's Second Law, you can use the formula F = ma, where F represents force, m represents mass, and a represents acceleration.

Can Newton's Second Law be applied to both linear and rotational motion?

Yes, Newton's Second Law can be applied to both linear and rotational motion. In rotational motion, the force is measured in a unit called torque, and the acceleration is measured in a unit called angular acceleration.

What is the difference between mass and weight?

Mass and weight are often used interchangeably, but they are actually different concepts. Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity acting on an object.

What are some real-life examples of Newton's Second Law?

Some real-life examples of Newton's Second Law include pushing a shopping cart, throwing a ball, or riding a bike. In all of these situations, the object experiences a change in acceleration due to the force being applied to it.

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