Chapter 4: Q2CQ (page 159)
What properties do forces have that allow us to classify them as vectors?
Short Answer
The properties of forces that classify them as vectors are the magnitude and direction.
Chapter 4: Q2CQ (page 159)
What properties do forces have that allow us to classify them as vectors?
The properties of forces that classify them as vectors are the magnitude and direction.
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Why does an ordinary rifle recoil (kick backward) when fired? The barrel of a recoilless rifle is open at both ends. Describe how Newton’s third law applies when one is fired. Can you safely stand close behind one when it is fired?
(a) Find the magnitudes of the forces F1 and F2 that add to give the total force Ftot shown in Figure 4.35. This may be done either graphically or by using trigonometry.
(b) Show graphically that the same total force is obtained independent of the order of addition of F1and F2 .
(c) Find the direction and magnitude of some other pair of vectors that add to give Ftot . Draw these to scale on the same drawing used in part (b) or a similar picture.
Near the end of a marathon race, the first two runners are separated by a distance of 45 m. The front runner has a velocity of 3.50 m/s, and the second a velocity of 4.20 m/s. (a) what is the velocity of the second runner relative to the first? (b) If the front runner is 250 m from the finish line, who will win the race, assuming they run at constant velocity? (c) What distance ahead will the winner be when she crosses the finish line?
Two teams of nine members each engage in a tug of war. Each of the first team’s members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1365 N horizontally.
(a) What is magnitude of the acceleration of the two teams?
(b) What is the tension in the section of rope between the teams?
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