Hw help with vector natur of Newton's second law of motion

In summary, the object (mass = 3.00 kg) is being acted upon by two forces: 40.0N east and 60.0N north of east at 45 degrees. To find the magnitude and direction (relative to the x axis) of the acceleration, add the components of the two vectors. Use the relationships F_{x} = F\cos\theta and F_{y} = F\sin\theta to break up the second vector into its N and E components.
  • #1
ersc13
2
0
only two forces act on an object (mass = 3.00 kg). 40.0N east and 60.0N north of east at 45 degrees. Find the magnitude and the direction (relative to the x axis) of the acceleration of the object.

I don't really know where to begin.
 
Physics news on Phys.org
  • #2
Add the components of the two vectors to make a sum vector. Add the two components in the N direction to get the N sum, and add the two components in the E direction to get the E sum. How do you break up the 2nd vector into its N and E components? All you need is a little trig.
 
  • #3
Use the relationships: [tex] F_{x} = F\cos\theta, F_{y} = F\sin\theta [/tex]
 

Related to Hw help with vector natur of Newton's second law of motion

1. What is Newton's Second Law of Motion?

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This means that the more force applied to an object, the greater its acceleration will be. Similarly, the more massive an object is, the less it will accelerate under the same force.

2. What is the vector nature of Newton's Second Law of Motion?

The vector nature of Newton's Second Law of Motion means that both the net force and acceleration are vector quantities, meaning they have both magnitude and direction. This means that the direction of the net force acting on an object will also affect the direction of its acceleration.

3. How do you represent Newton's Second Law of Motion mathematically?

Newton's Second Law of Motion can be represented mathematically as F = ma, where F is the net force, m is the mass of the object, and a is the acceleration. This equation shows the direct relationship between force and acceleration, and the inverse relationship between mass and acceleration.

4. Can you provide an example of Newton's Second Law of Motion in action?

One example of Newton's Second Law of Motion is a person pushing a shopping cart. The person exerts a force on the cart, causing it to accelerate in the direction of the force. The acceleration of the cart is directly proportional to the force applied by the person and inversely proportional to the mass of the cart.

5. How does Newton's Second Law of Motion relate to everyday life?

Newton's Second Law of Motion is applicable in many everyday situations. For example, it explains why objects fall to the ground when dropped (due to the force of gravity) and why it takes more force to push a heavy object than a lighter one. It also plays a role in sports, as the force applied to a ball determines its acceleration and trajectory.

Similar threads

  • Introductory Physics Homework Help
Replies
17
Views
607
Replies
44
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
383
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
675
  • Introductory Physics Homework Help
Replies
27
Views
3K
  • Introductory Physics Homework Help
Replies
15
Views
306
  • Introductory Physics Homework Help
Replies
6
Views
1K
Replies
0
Views
1K
Back
Top