Here's an interesting one. Consider a sled .. a rocket cart which is used to study acceleration and deceleration effects. (Yes that's a real thing). One way of stopping such a sled is to put a scoop on the front deflecting water upwards as in the image below: Water 60° Assume scoop is 20 cm wide (into page), and dips 8 cm into the water (d = 8 cm). The sled is 1000 kg and initially traveling at 100 m/s. What is the initial deceleration .. remember F = ma.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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### Example Problem: Deceleration of a Rocket Sled Using a Water Deflection Scoop

Here's an interesting one. Consider a sled, a rocket cart, which is used to study acceleration and deceleration effects. (Yes, that’s a real thing). One way of stopping such a sled is to put a scoop on the front deflecting water upwards as in the image below:

#### Diagram Explanation:
The diagram shows a sled with a scoop at the front. The scoop is submerged in water and deflects the water upwards at a 60° angle. The variable "d" represents the depth to which the scoop is submerged in the water.

#### Problem Details:
- **Scoop Dimensions**: 20 cm wide (into the page), dips 8 cm into the water (d = 8 cm).
- **Sled Mass**: 1000 kg
- **Initial Velocity**: 100 m/s

#### Task:
Calculate the initial deceleration. Use the formula \( F = ma \) (Force equals mass times acceleration).

Consider the significance of the deflection angle and the resistance offered by the water in determining the deceleration rate.
Transcribed Image Text:### Example Problem: Deceleration of a Rocket Sled Using a Water Deflection Scoop Here's an interesting one. Consider a sled, a rocket cart, which is used to study acceleration and deceleration effects. (Yes, that’s a real thing). One way of stopping such a sled is to put a scoop on the front deflecting water upwards as in the image below: #### Diagram Explanation: The diagram shows a sled with a scoop at the front. The scoop is submerged in water and deflects the water upwards at a 60° angle. The variable "d" represents the depth to which the scoop is submerged in the water. #### Problem Details: - **Scoop Dimensions**: 20 cm wide (into the page), dips 8 cm into the water (d = 8 cm). - **Sled Mass**: 1000 kg - **Initial Velocity**: 100 m/s #### Task: Calculate the initial deceleration. Use the formula \( F = ma \) (Force equals mass times acceleration). Consider the significance of the deflection angle and the resistance offered by the water in determining the deceleration rate.
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