Use the motion equations in two-dimensional motion to compute the required initial velocity that the projectile must have leaving the cannon in order for the projectile to land on the center of the target

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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Use the motion equations in two-dimensional motion to compute the required initial velocity that the projectile must have leaving the cannon in order for the projectile to land on the center of the target. 

Initial Values
Height: 10 m
Angle: 82°
Time
O Range
Height
Cannonball
Mass
17.60 kg
1
31
10 m
82°
Diameter
0.18 m
0.1
1
Gravity
9.81 m/s?
Air Resistance
Altitude
0m
Drag Coefficient: 0.47
11.0 m
Transcribed Image Text:Initial Values Height: 10 m Angle: 82° Time O Range Height Cannonball Mass 17.60 kg 1 31 10 m 82° Diameter 0.18 m 0.1 1 Gravity 9.81 m/s? Air Resistance Altitude 0m Drag Coefficient: 0.47 11.0 m
Expert Solution
Step 1

Let initial velocity is u

In x direction 

11 = uCos82° × t 

t = 79.04 / u 

 

In y direction 

-10 = uSin82° × t  - gt2/2 

-10 = 79.04×Sin82° - 4.9×(79.04/u)2 

 

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