# Net force and acceleration relationship goals

### What is Newton's second law? (article) | Khan Academy

In other words, if the net force were doubled, the acceleration of the object would be .. mistake people make is to plug a vertical force into a horizontal equation. The above equation is often rearranged to a more familiar form as shown below. The net force is equated to the product of the mass times the acceleration. Learning Objectives The first law states that a body at rest will stay at rest until a net external force acts upon it and that a body in . By simplifying this relationship and remembering that acceleration is the rate of change of velocity, we can.

The flag at the top of the glider will pass through the photogate, which will record the amount of time the glider takes to pass through the gate. The flag is 10 cm long, so the velocity of the glider is equal to the length of the flag divided by the time.

The air track will have a pulley connected to one end. Tie the string to one end of the glider and run it through the pulley, where it will be connected to the hanging weight. Place the glider at the cm mark on the air track. Place the photogate timer at the cm mark. The glider itself has a mass of g. Hold onto the glider so that it does not move and add weights to the hanging end so that the total mass of the weight is equal to 10 g.

Once the weights are in place, release the glider from rest and record the velocity of the glider.

## The Mighty F = ma

Perform 5 runs and take the average value. Calculate the theoretical value for acceleration using Equation 2 and the experimental value from Equation 3. For example, if the glider has mass of g and the hanging weights have a mass 10 g, then the theoretical acceleration, from Equation 2, is If the measured velocity is 0.

Increasing the mass of the glider. Add four of the weights to the glider, which will double its mass. Release the system from rest and record the velocity of the glider. Calculate the theoretical value for acceleration, from Equation 2, and the experimental value, from Equation 3. Increasing the force on the glider.

**Net force = mass x acceleration (F = ma)**

Add more mass to the hanging weight so that it has a total mass of 20 g. Add more mass to the hanging weight so that it has a total mass of 50 g. Newton's second law describes the relationship between force and acceleration and this relationship is one of the most fundamental concepts that apply to many areas of physics and engineering.

F equals ma is the mathematical expression of Newton's second law. This illustrates that greater force is required to move an object of a larger mass. It also demonstrates that for a given force acceleration is inversely proportional to mass. That is, with the same applied force smaller masses accelerate more than larger masses Here we will demonstrate an experiment that validates Newton's second law by applying forces of different magnitudes to a glider on a nearly frictionless air track Before going into the details of how to run the experiment, let's study the concepts and laws that contribute to the data analysis and interpretation.

The set-up consists of an air track, a glider, a photogate timer at a known distance d from the starting point, a pulley, and a string running from the glider over the pulley.

If one attaches a weight to the other end of the string and releases it, the weight will apply a force on the glider causing it to accelerate.

This force is given by Newton's second law. At the same time, the force on the weight will be due to gravitational acceleration minus the tension force in the string connecting the falling weight to the glider. This tension force is the mass of the weight times the acceleration of the glider. By equating the force on the glider with the force on the weight, one can derive the formula to theoretically calculate glider's acceleration.

The experimental way to calculate the glider's acceleration is with the help of the photogate timer. This gives us the time taken by the glider to travel distance d from the starting point. Using this information, one can calculate the glider's speed and then, with the help this kinematics formula, one can calculate the magnitude of experimental acceleration.

### Force and Acceleration | Protocol

Now that we understand the principles, let's see how to actually conduct this experiment in a physics lab As mentioned before, this experiment uses a glider connected by a line passing over a pulley to a weight.

The glider slides along an air track, which creates a cushion of air to reduce friction to negligible levels. As the weight falls, the pulley redirects the tension in the line to pull the glider, which has a 10 cm long flag on top. A photogate at a known distance from the starting point records the amount of time it takes for the flag to pass through it The glider's final velocity is the length of the flag divided by the time to pass through the photogate. With the glider's final velocity and the distance traveled, it is possible to calculate acceleration.

Set up the experiment by placing the photogate timer at the cm mark on the air track and the glider at the cm mark.

The glider has a mass of grams. Hold the glider so it does not move and add weights to the end of the string so the total hanging mass is also 10 grams Once the weights are in place, release the glider, record its velocity for five runs and calculate the average.

Use the mass of the glider and the hanging weight to calculate the experimental and theoretical accelerations then record the results. Now add four more weights to the glider, doubling its mass to grams. Place the glider at the cm mark to repeat the experiment. Acceleration is inversely proportional to mass. Whatever alteration is made of the net force, the same change will occur with the acceleration. Double, triple or quadruple the net force, and the acceleration will do the same. On the other hand, whatever alteration is made of the mass, the opposite or inverse change will occur with the acceleration.

Double, triple or quadruple the mass, and the acceleration will be one-half, one-third or one-fourth its original value.

The Direction of the Net Force and Acceleration As stated abovethe direction of the net force is in the same direction as the acceleration. Thus, if the direction of the acceleration is known, then the direction of the net force is also known. Consider the two oil drop diagrams below for an acceleration of a car. From the diagram, determine the direction of the net force that is acting upon the car. Then click the buttons to view the answers.

If necessary, review acceleration from the previous unit. See Answer The net force is to the right since the acceleration is to the right. An object which moves to the right and speeds up has a rightward acceleration. See Answer The net force is to the left since the acceleration is to the left.