Finding Net Force on a 725 Gram Block with Given Acceleration and Angle

In summary, to find the magnitude of net force on a 725 gram block accelerating at 8.10 m/s2 at an angle of 18.0 degrees relative to horizontal, you must first convert the mass to kilograms and then use Newton's second law, F=ma, to find the force in the x and y directions. Using basic trigonometry, you can find the x and y components of acceleration and then solve for the magnitude of net force using the formula F_net = √(F_x)^2 + (F_y)^2. Do not let the angle confuse you, as it is a simple component in the overall calculation.
  • #1
ScienceGirl90
24
0

Homework Statement


Find the magnitude of net force on the following object a 725 gram block that is accelerating at 8.10 m/s2 at an angle of 18.0 degree relative to horizontal.


Homework Equations


F=m*a


The Attempt at a Solution


I first converted the 725 grams to kilograms but then after that I am unsure of what to do. Having information about the angle is throwing me off because I don't know what equation to use.
 
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  • #2
Read up again on Newton's 2nd law, the part about where it talks about the direction of the net force.
 
  • #3
Well I did read that if you know the direction of acceleration, you know the direction of the net force. But I am still confused as to how this helps. Would you please explain more? Thank you!
 
  • #4
What you have to do is find your force for your x-component and your force for your y-component and then find the magnitude of these. because its asking for magnitude.
so..
F_x = ma_x
and
F_y = ma_y

so for these equations obviously your mass will be the same value, but you must find your x and y component of accleration, which is an easy trig problem (draw a triangle)

you should be able to then easily solve for you F_x and F_y
once you find these you should know how to find the magnitude, its the square root of (F_x)^2 + (F_y)^2
 
  • #5
But F_net =ma, where m and a are given. It's very easy, don't let the angle trick you.
 

FAQ: Finding Net Force on a 725 Gram Block with Given Acceleration and Angle

1. What is net force?

Net force is the overall force acting on an object, taking into account all of the individual forces acting on the object.

2. How do you calculate net force?

To calculate net force, you need to add up all of the individual forces acting on an object. This can be done by using vector addition, where forces in the same direction are added together and forces in opposite directions are subtracted.

3. What is the unit of measurement for net force?

The unit of measurement for net force is Newtons (N). This is the standard unit for force in the International System of Units (SI).

4. How does net force affect an object's motion?

Net force is directly related to an object's acceleration. If the net force is zero, the object will remain at rest or continue moving at a constant velocity. If the net force is not zero, the object will accelerate in the direction of the net force.

5. How can you find net force in a real-world scenario?

To find net force in a real-world scenario, you will need to identify all of the forces acting on the object and determine their magnitudes and directions. You can then use vector addition to calculate the net force. This can be useful in situations such as calculating the net force on a car as it drives up a hill or the net force on a rocket as it launches into space.

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