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Instantaneous acceleration of the proton at t = 3s. P6: A rocket is launched vertically from the ground with an initial velocity of 80m/s. It ascends. with a constant acceleration of 4 m/s2 to an altitude of 10 km. Its motors then fail, and the. rocket continues upward as a free fall particle and then falls back down.
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Newton's Laws: Forces and Motion A force is a push or a pull. A force is a vector : it has a magnitude and a direction. Forces add like vectors, not like scalars. Example: Two forces, labeled F 1 and F 2, are both acting on the same object. The forces have the same magnitude F F F 12 oand are 90 apart in direction: F F F F F
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Figure 4.4 The force exerted by a stretched spring can be used as a standard unit of force. (a) This spring has a length x when undistorted. (b) When stretched a distance Δx , the spring exerts a restoring force, Frestore , which is reproducible. (c) A spring scale is one device that uses a spring to measure force.
• Kinematics – branch of physics; study of motion • Position (x) – where you are located • Distance (d) – how far you have traveled, regardless of direction • Displacement (Dx) – where you are in relation to where you started Distance vs. Displacement • You drive the path, and your odometer goes up by 8 miles (your distance).
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velocity = speed + direction of motion Things that have both a magnitude and a direction are called vectors. More on vectors in Ch.3. For 1D motion (motion along a straight line, like on an air track), we can represent the direction of motion with a +/– sign. + = going right .
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Figure 3.8: Motion diagram and free-body diagram for a box being dragged to the right, by means of a string, across a flat surface. Step 4 - Compare and contrast the free-body diagrams you drew in steps 2 and 3. The free-body diagrams are quite different, with one having no forces and the other having four.
1.7: Examples of 2-Dimensional Motion Using what we just derived regarding the parallel and perpendicular components of acceleration, we turn now to the special cases of circular and projectile motion. 1.8: Relative Motion Our last topic for motion in multiple dimensions relates what different observers of the same motion measure for velocities.
