Newton's Second Law
We hypothesized that with a constant mass of the system (a decrease in cart is a direct relationship between the net force and the acceleration such that when. The other relationship was between the total mass of both sides of the Atwood machine and acceleration. My hypothesis on the first relationship would be that as. The net force is equated to the product of the mass times the acceleration. Furthermore, the qualitative relationship between mass and acceleration can be .
Furthermore, the qualitative relationship between mass and acceleration can be seen by a comparison of the numerical values in the above table. Observe from rows 2 and 3 that a doubling of the mass results in a halving of the acceleration if force is held constant. And similarly, rows 4 and 5 show that a halving of the mass results in a doubling of the acceleration if force is held constant. 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.
- Investigating Newton's second law of motion
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.
What is the relationship between force and acceleration mass? | How Things Fly
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.
Investigating Newton's second law of motion
Attach the other end to the trolley so that, when the mass is released, it causes the trolley to accelerate. Choose a length of string such that the mass does not touch the ground until the trolley nearly reaches the pulley. Fix a 1 kg mass on the trolley with Blu-tack to make the total mass trolley plus mass of about 2 kg. This produces an acceleration which is not too aggressive when the maximum force 4 N is applied. The force is conveniently increased in 1 newton steps when slotted masses of g are added.
Place the unused slotted masses on the trolley.
Transfer them to the slotted mass holder each time the accelerating force is increased. This ensures that the total mass experiencing acceleration remains constant throughout the experiment.
Fit a double segment black card on to the trolley. Clamp the light gate at a height which allows both segments of the card to interrupt the light beam when the trolley passes through the gate.
Newton's Second Law
Measure the width of each segment with a ruler, and enter the values into the software. Connect the light gate via an interface to a computer running data-logging software. The program should be configured to obtain measurements of acceleration derived from the double interruptions of the light beam by the card. The internal calculation within the program involves using the interruption times for the two segments to obtain two velocities.
The difference between these, divided by the time between them, yields the acceleration. A series of results is accumulated in a table.
Investigation 2.3.1: The Relationship Involving Acceleration, Net Force, and Mass Answers
This should also include a column for the manual entry of values for 'force' in newtons. It is informative to display successive measurements on a simple bar chart. Pull the trolley back so that the mass is raised to just below the pulley. Position the light gate so that it will detect the motion of the trolley soon after it has started moving.
Set the software to record data, then release the trolley. Observe the measurement for the acceleration of the trolley.