The shot put world record for women stands at 22.63 m (Natalya Lisovskaya, 1987). Assuming that the shot is projected from a height of 2.2 m at an angle of 45° and neglecting air resistance, the initial speed of the particle is 14.22 m/s. Use g = 9.81 ms-2 for the gravitational acceleration on the surface of the Earth. Parameters (x(+)), z(+)): Vo x(+) 늘 = 2(+) = 글 gta Vo t + √√2 + Zo 1. Find the maximal height of the shot, using the parameters. Give a general expression (no numbers substituted in yet), then evaluate this expression to 2 digits accuracy. 2. Eliminate time t to find an implicit expression of the form z(x) of the solution curve. Use this expression to again determine the maximal height of the shot. 3. Use conservation of energy to determine the maximal height of the shot. You should find the same answer with all three methods.

The shot put world record for women stands at 22.63 m (Natalya Lisovskaya, 1987). Assuming that the shot is projected from a height of 2.2 m at an angle of 45° and neglecting air resistance, the initial speed of the particle is 14.22 m/s. Use g = 9.81 ms-2 for the gravitational acceleration on the surface of the Earth. Parameters (x(+)), z(+)): Vo x(+) 늘 = 2(+) = 글 gta Vo t + √√2 + Zo 1. Find the maximal height of the shot, using the parameters. Give a general expression (no numbers substituted in yet), then evaluate this expression to 2 digits accuracy. 2. Eliminate time t to find an implicit expression of the form z(x) of the solution curve. Use this expression to again determine the maximal height of the shot. 3. Use conservation of energy to determine the maximal height of the shot. You should find the same answer with all three methods.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.

Question

The shot put world record for women stands at 22.63 m (Natalya Lisovskaya, 1987). Assuming that
the shot is projected from a height of 2.2 m at an angle of 45° and neglecting air resistance, the initial
speed of the particle is 14.22 m/s. Use g = 9.81 ms-2 for the gravitational acceleration on the surface
of the Earth.
Parameters
(x(+)), z(+)):
x(t) =
2(+) =
9 +2
+
شاد
t
+ Zo
1. Find the maximal height of the shot, using the parameters. Give a general expression (no
numbers substituted in yet), then evaluate this
expression to 2 digits accuracy.
2.
3.
Eliminate time t to find an implicit expression of the form z(x) of the solution curve. Use this
expression to again determine the maximal height of the shot.
Use conservation of energy to determine the maximal height of the shot.
You should find the same answer with all three methods.

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