A student releases a 3.9kg cart from the top of ramp and starts a stopwatch. The length from the front of the cart to the end of the ramp and the distance from the. end of the ramp to the stopper are shown. Neglect backwards friction and drag and assume the cart does not lose speed transitioning from the ramp to the floor. What is the cart's acceleration on the ramp? 0.855 m/s? (magnitude) What is the cart's acceleration on the floor? 130cm 0.851 m/s? (magnitude) 200cm How long does the cart take to reach the end of the ramp? 1.74 (timed from the release) How fast is the cart traveling as it hits the stopper? 2.372 m/s How long does the cart take to reach the stopper? 3.914 (timed from the release) cannot be deten

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter8: Time And Time-related Variables In Engineering
Section: Chapter Questions
Problem 45P
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A student releases a 3.9kg cart from the top of ramp and starts a stopwatch. The
length from the front of the cart to the end of the ramp and the distance from the.
end of the ramp to the stopper are shown. Neglect backwards friction and drag
and assume the cart does not lose speed transitioning from the ramp to the floor.
What is the cart's acceleration on the ramp?
0.855
m/s2
(magnitude)
What is the cart's acceleration on the floor?
130cm
0.851
m/s?
(magnitude)
200cm
How long does the cart take to reach the end of the ramp?
1.74
(timed from the release)
How fast is the cart traveling as it hits the stopper?
2.372
m/s
How long does the cart take to reach the stopper?
3.914
(timed from the release)
cannot be determin
check answers
Transcribed Image Text:A student releases a 3.9kg cart from the top of ramp and starts a stopwatch. The length from the front of the cart to the end of the ramp and the distance from the. end of the ramp to the stopper are shown. Neglect backwards friction and drag and assume the cart does not lose speed transitioning from the ramp to the floor. What is the cart's acceleration on the ramp? 0.855 m/s2 (magnitude) What is the cart's acceleration on the floor? 130cm 0.851 m/s? (magnitude) 200cm How long does the cart take to reach the end of the ramp? 1.74 (timed from the release) How fast is the cart traveling as it hits the stopper? 2.372 m/s How long does the cart take to reach the stopper? 3.914 (timed from the release) cannot be determin check answers
Expert Solution
Introduction

Given,

Mass of the cart, say M = 3.9 kg

From the figure,

Length of the ramp, say L = 130 cm = 1.3 m [1 m=100 cm]

Inclination of the ramp, say θ = 5o

Horizontal distance of the ramp from the stopper, say D = 200 cm = 2 m

 

The problem can be answered by applying the laws of motion and the equations of motion.

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