Answered: A cannon on a flat railroad car travels…

Name: A cannon on a flat railroad car travels to the east with its barrel ti
Uploaded: 2024-03-20T06:57:47.000Z
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Description: A cannon on a flat railroad car travels to the east with its barrel tilted 30∘ above horizontal. It fires a cannonball at 50 m/s. At t=0 s, the car, starting from rest, begins to accelerate to the east at 2.0 m/s^2. At what time should the cannon be

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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A cannon on a flat railroad car travels to the east with its barrel tilted 30∘ above horizontal. It fires a cannonball at 50 m/s. At t=0 s, the car, starting from rest, begins to accelerate to the east at 2.0 m/s^2.

At what time should the cannon be fired to hit a target on the tracks that are 400 mm to the east of the car's initial position? Assume that the cannonball is fired from ground level.

t= ?

Expert Solution

Step 1: Determine the given data:

In the question, the unit of range is given incorrectly. Also it is not given that whether 50 m/s is relative to ground or relative to cannon car. So we will assume that, the velocity of the cannon is relative to ground. Also the the momentum of car does not get affected due to firing.

$Angle space of space projection colon space straight theta equals 30 degree Initial space velocity space of space canonball colon space straight u subscript 1 equals 50 space straight m divided by straight s Initial space velocity space of space car comma space straight u subscript 2 equals 0 space straight m divided by straight s Acceleration space of space car comma space straight a equals 2.0 space straight m divided by straight s squared Distance space of space the space target comma space straight x equals 400 space straight m space space space left parenthesis assume space the space unit space to space be space meter right parenthesis$

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