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BAED-PHYC2121 General Physics 1

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2.2 What is Motion?

Arvin the Ant is on a picnic table. He travels 30 cm eastward, then 20 cm northward, and finally 15 cm westward. What is the magnitude of Arvin's net displacement?
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Vector is 4.0 units in length and points along the positive x-axis; vector is 7.0 units in length and points along a direction 135° from the positive x-axis. What is the magnitude of the resultant when vectors and are added?

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Vectors , , and have magnitudes 8, 11, and 21. When these vectors are added, what is the least possible magnitude of their resultant?

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A European sports car dealer claims that his product will accelerate at a constant rate from rest to a speed of 100 km/hr in 6 s. What distance will the sports car travel during the 6 s acceleration period? (Hint: First convert speed to m/s.)
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An object moves 20 m east in 20 s and then returns to its starting point taking an additional 60 s. If west is chosen as the positive direction, what is the average speed of the object?
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If a is acceleration, v is velocity, x is position, and t is time, then which equation is not dimensionally correct?
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A furlong is a distance of 180 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 7 yards per second. What is his speed in furlongs per fortnight?

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A Hooke's law spring is mounted horizontally over a frictionless surface. The spring is then compressed a distance d and is used to launch a mass m along the frictionless surface. What compression of the spring would result in the mass attaining double the speed received in the above situation?
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Alex throws a 0.15-kg rubber ball down onto the floor. The ball's speed just before impact is 6.5 m/s and just after is 3.5 m/s. If the ball is in contact with the floor for 0.050 s, what is the magnitude of the average force applied by the floor on the ball?
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4.4 Further Applications of Newton's Laws

A 15-kg block rests on a level, frictionless surface and is attached by a light string to a 10-kg hanging mass where the string passes over a massless frictionless pulley. If g = 9.8 m/s2, what is the tension in the connecting string?
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