Equations with Newton's Second Law of Motion

In summary, the conversation is about a student seeking help with several homework problems. The first problem involves finding the average net force acting on a ball after being served and given its acceleration and distance. The second problem involves finding the acceleration and direction of an object with two given forces acting on it. The third problem also involves finding the acceleration and direction of a block with two given forces acting on it. In the fourth problem, the student is unsure about what to do with the given vectors in order to find the acceleration and direction of the object.
  • #1
duxlax93
4
0
Hi, I really need some help on these homework problems. Sorry I couldn't paste the pictures in but please help me!

1) When a 58 gram ball is served, it accelerates from rest to a speed of 45 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 44 cm. What is the magnitude of the average net force acting on the ball?

2) Only two forces act on an object (mass=4.0 kg). Find the magnitude and the direction (relative to the x-axis) of the acceleration of the object. The picture depicts a box with a central angle, the "y-axis" vector is 60.0 N and the "x-axis" vector is 40.0 N.

3) Two forces, F1 and F2, act on the 5.00 kg block. The magnitude of the forces are F1=45.0 N and F2=25.0 N. What is the horizontal acceleration (magnitude and direction) of the block. The picture depicts a box and on the upper left hand corner F1 vector is coming down, creating a 65° angle. F2 vector is going into the middle of the right side.


4) Only two forces act on an object (mass=3.00 kg). Find the magnitude and direction (relative to the x-axis) of the acceleration of the object. The picture depicts a box with 45° angle placed in the middle. The x vector is 40. 0 N and the y vector is 60.0 N.
 
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  • #2
Where did you start with these? You can't help if we don't know where you are getting stuck.
 
  • #3
In #1 I do not understand how to find the acceleration so that I can find the net force. In questions 2-4 I do jot understand what to dk with the vectors
 
  • #4
Lets go 1 at a time.

In number 1, what givens do you have?
 
  • #5
The ball is 58 g it accelerates to 45 m/s2 and it accelerates continuously over 44m
 
  • #6
44 cm
 

Related to Equations with Newton's Second Law of Motion

1. What is Newton's 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. In simpler terms, the greater the force applied to an object, the greater its acceleration will be, while the greater the mass of the object, the smaller its acceleration will be.

2. How do you calculate force using Newton's Second Law of Motion?

The equation for Newton's Second Law of Motion is F=ma, where F represents force in Newtons (N), m represents mass in kilograms (kg), and a represents acceleration in meters per second squared (m/s²). To calculate force, simply multiply the mass of the object by its acceleration.

3. What is the relationship between force, mass, and acceleration in Newton's Second Law of Motion?

The relationship between force, mass, and acceleration in Newton's Second Law of Motion is represented by the equation F=ma. This means that force and acceleration are directly proportional, while force and mass are inversely proportional. In other words, if the force applied to an object increases, its acceleration will also increase, while if the mass of the object increases, its acceleration will decrease.

4. How can Newton's Second Law of Motion be applied in everyday life?

Newton's Second Law of Motion has countless applications in everyday life. For example, it can be used to calculate the force needed to accelerate a car, or to determine the amount of force a person needs to use to lift an object. It also plays a major role in sports, such as determining the force needed to throw a ball a certain distance or the force needed to kick a soccer ball into the goal.

5. What are some common misconceptions about Newton's Second Law of Motion?

One common misconception about Newton's Second Law of Motion is that objects with greater mass will always have a greater force and acceleration. However, this is not always the case, as the force also depends on the acceleration of the object. Another misconception is that Newton's Second Law of Motion only applies to objects that are in motion, when in fact it can also be applied to objects at rest.

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