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Notice that Newton s second law can be rearranged to the form F ma, which you learned about previously If the table that you and your friend were pushing was 150 kg and the two of you each pushed with a force of 500 N in the same direction, what would be the acceleration of the table To find out, calculate the net force, 500 N 500 N 1000 N, and apply Newton s second law by dividing the net force of 1000 N by the mass of the table, 150 kg, to get an acceleration of 667 m/s2 Here is a useful strategy for finding how the motion of an object depends on the forces exerted on it First, identify all the forces acting on the object Draw a free-body diagram showing the direction and relative strength of each force acting on the system Then, add the forces to find the net force Next, use Newton s second law to calculate the acceleration Finally, if necessary, use kinematics to find the velocity or position of the object When you learned about kinematics in s 2 and 3, you studied the motion of objects without regard for the causes of motion You now know that an unbalanced force, a net force, is the cause of a change in velocity (an acceleration)

6 Two horizontal forces, 225 N and 165 N, are exerted on a canoe If these forces are applied in the same direction, find the net horizontal force on the canoe 7 If the same two forces as in the previous problem are exerted on the canoe in opposite directions, what is the net horizontal force on the canoe Be sure to indicate the direction of the net force 8 Three confused sleigh dogs are trying to pull a sled across the Alaskan snow Alutia pulls east with a force of 35 N, Seward also pulls east but with a force of 42 N, and big Kodiak pulls west with a force of 53 N What is the net force on the sled

What is the motion of an object with no net force acting on it A stationary object with no net force acting on it will stay at its position Consider a moving object, such as a ball rolling on a surface How long will the ball continue to roll It will depend on the quality of the surface If the ball is rolled on a thick carpet that offers much resistance, it will come to rest quickly If it is rolled on a hard, smooth surface that offers little resistance, such as a bowling alley, the ball will roll for a long time with little change in velocity Galileo did many experiments, and he concluded that in the ideal case of zero resistance, horizontal motion would never stop Galileo was the first to recognize that the general principles of motion could be found by extrapolating experimental results to the ideal case, in which there is no resistance to slow down an object s motion In the absence of a net force, the motion (or lack of motion) of both the moving ball and the stationary object continues as it was Newton recognized this and generalized Galileo s results in a single statement This statement, an object that is at rest will remain at rest, and an object that is moving will continue to move in a straight line with constant speed, if and only if the net force acting on that object is zero, is called Newton s first law

6:

Table 4-2

Some Types of Forces Force Friction Symbol Ff Definition The contact force that acts to oppose sliding motion between surfaces The contact force exerted by a surface on an object A restoring force; that is, the push or pull a spring exerts on an object Direction Parallel to the surface and opposite the direction of sliding Perpendicular to and away from the surface Opposite the displacement of the object at the end of the spring Away from the object and parallel to the string, rope, or cable at the point of attachment In the same direction as the acceleration of the object, barring any resistive forces Straight down toward the center of Earth

A general term for the forces that move objects such as rockets, planes, cars, and people A field force due to gravitational attraction between two objects, generally Earth and an object

.