Source: Andrew Duffy, PhD, Department of Physics, Boston University, Boston, MA
This experiment examines at various situations involving two interacting objects.
First, the experiment examines the forces that two objects apply to one another while they collide. The objects are wheeled carts that have variable masses. The purpose of this experiment is to discover when the force the first cart exerts on the other is the same magnitude as the force the second cart exerts back on the first, as well as when these two forces have different magnitudes.
Second, it examines the forces that two objects exert on one another when one cart is pushing or pulling the second one. Again, the focus is on exploring the situations in which the two forces have the same magnitude and in which they have different magnitudes.
The primary goal of this experiment is to explore Newton's third law.
The apparatus consists of two carts, each with a force sensor mounted on top (Figure 1). The force sensors are connected to a computer via a dedicated computer interface. Each force sensor measures the force exerted upon it by the other force sensor during the collision or the push/pull situation.
Figure 1. The basic setup. Key components of the apparatus are the two wheeled carts, each with a force sensor mounted on top, and a computer interface.
1. Collision Situations
In the third collision, the cart that moves prior to the collision should have 2-3 times the mass of the stationary cart. Achieve this by transferring the extra weight(s) from one cart to the other. Repeat the process of carrying out the collision and collecting the data.
2. Pushing and Pulling Situations
Newton's third law states that whenever two objects interact, the second object exerts a force on the first object that is equal in magnitude and opposite in direction to the force the first object exerts on the second. This is simple to state, but it can be hard to accept. For example, it is often assumed that the force a larger object exerts on a smaller object is larger than the force the smaller object exerts back on the larger object.
Figure 2. Result of the first collision. The forces experienced by the carts are equal and opposite.
Figure 3. Result of the second collision. The forces experienced by the carts are equal and opposite.
Figure 4. Result of the third collision. The forces experienced by the carts are equal and opposite.
Figure 5. Result of the first pushing/pulling situation. The forces experienced by the carts are equal and opposite.
Figure 6. Result of the second pushing/pulling situation. The forces experienced by the carts are equal and opposite.
Figure 7. Result of the third pushing /pulling situation. The forces experienced by the carts are equal and opposite.
The concept addressed in this experiment, namely that, in all interactions, the force one object applies to another is equal in magnitude and opposite in direction to the force applied by the second object back on the first, has many applications. For example, (1) the gravitational force the Sun applies to the Earth is equal and opposite to the gravitational force the Earth applies to the Sun. (2) The gravitational force the Earth applies to the Moon is equal and opposite to the gravitational force the Moon applies to the Earth. (3) The gravitational force the Earth exerts on an apple is equal and opposite to the gravitational force the apple applies to the Earth. (4) In a collision, such as that between a car and a truck on the street or that between two football players, the forces are always equal and opposite, no matter how the masses compare. (5) When a person stands on a floor or sits on a chair, the force exerted on that person by the floor or the chair is equal and opposite to the force the person exerts on the floor or chair.
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