Newton s Laws of Motion

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Transcription:

Newton's Laws of Motion The British scientist Sir Isaac Newton (164 177) was able to state rules that describe the effects of forces on the motion of objects. These rules are known as Newton's law's of motion.

Newton's First Law of Motion Newton's first law of motion states that an object moving at a constant velocity keeps moving at that velocity unless an unbalanced net force acts on it. If an object is at rest, it stays at rest unless an unbalanced net force acts on it. This law is sometimes called the law of inertia.

Inertia and Mass Inertia (ih NUR shuh) is the tendency of an object to resist any change in its motion. If an object is moving, it will have uniform motion. It will keep moving at the same speed and in the same direction unless an unbalanced force acts on it.

Inertia and Mass If an object is at rest, it tends to remain at rest. Its velocity is zero unless a force makes it move. The inertia of an object is related to its mass. The greater the mass of an object is, the greater its inertia.

Force, Mass, and Acceleration Newton s second law of motion describes how the forces exerted on an object, its mass, and its acceleration are related.

Force and Acceleration What s different about throwing a ball horizontally as hard as you can and tossing it gently? When you throw hard, you exert a much greater force on the ball. Getty Images

Force and Acceleration The hard-thrown ball has a greater change in velocity, and the change occurs over a shorter period of time. Getty Images

Force and Acceleration Recall that acceleration is the change in velocity divided by the time it takes for the change to occur. So, a hard-thrown ball has a greater acceleration than a gently thrown ball.

Mass and Acceleration If you throw a softball and a baseball as hard as you can, why don t they have the same speed? The difference is due to their masses. Getty Images/Lars A. Niki

Mass and Acceleration If it takes the same amount of time to throw both balls, the softball would have less acceleration. The acceleration of an object depends on its mass as well as the force exerted on it. Force, mass, and acceleration are related.

Newton s Second Law Newton s second law of motion states that the acceleration of an object is in the same direction as the net force on the object, and that the acceleration can be calculated from the following equation:

Calculating Net Force with the Second Law Newton s second law also can be used to calculate the net force if mass and acceleration are known. To do this, the equation for Newton s second law must be solved for the net force, F.

Calculating Net Force with the Second Law To solve for the net force, multiply both sides of the equation by the mass: The mass, m, on the left side cancels, giving the equation:

Newton s Third Law Newton s third law of motion states that when one object exerts a force on a second object, the second one exerts a force on the first that is equal in strength and opposite in direction. These forces are sometimes called the action and reaction forces.

Newton s Third Law But, the action force doesn t cause the reaction force. They occur at the same time. When you jump on a trampoline, for example, you exert a downward force on the trampoline. Simultaneously, the trampoline exerts an equal force upward, sending you high into the air.

Action and Reaction Forces Don t Cancel According to the third law of motion, action and reaction forces act on different objects. Thus, even though the forces are equal, they are not balanced because they act on different objects.

Action and Reaction Forces Don t Cancel For example, consider a student pushing on a box. The box pushes on the student, but the student remains in place because of the friction between her shoes and the floor.

The forces on the box include the student s push to the right and sliding friction to the left. The net force on the box is not zero and the box accelerates to the right.

A force is an interaction between two objects. For example, it does not make sense to say, The box has a force of 0 N. However, it does make sense to say, The student pushes on the box with a force of 0 N.