How much force must be exerted on the spring to compress it 12.0 cm? How much work is done on the spring to compress it 12.0 cm?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Energy Of A System
Section: Chapter Questions
Problem 35P
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please do it in guss method no other way 

 

Solving problems in Physics, we must always use GUESS method.
Guess stands for:


Guess: G Here you write down what is given in the question
Unknown: U Here you list what you have to calculate, to solve for.
Equations: E here you list all the formulas you need to use to solve the problem
Substitution: S This first letter S in the word, you will just substitute what is given in the
formula. You do not calculate anything. The calculations will occur at the second S: Solve. What
is very important here is to carry with you the units of measure in the formula. Not only the
numbers. This is very important, once again.
Solve: S The last step, second S, you will solve what you plugged in the first S for Substitution.
Very important here is to manipulate the units of measure such that the final units of measure
to be proved by your work. This part is very important, since you will allow you to verify that
what you do is correct. For example, you calculate for acceleration, we know that the units of
measure are
m
s
2
But what I want is to show me how you determined m
s
2
using the formula, and
manipulating what you wrote in the fraction in order to obtain/calculate/determine the units of
acceleration m
s
2
I will show you an example to clarify this

The last to letter S, can repeat again i8f you have to calculate for more stuff, or you determine
one value that can be used in another formula. Like solving step by step.

Example
A car is accelerating from 80 m/s to 120 m/s in 8 seconds. Calculate the acceleration?
G: v₁ = 80m/s vf = 120m/s At = 8s
U: a =?
21
E: a = 5
120-80
S
m
S: a =
8s
for acceleration
As you can see, I carried the unit of measure for speed and time in the formula
S: a =
120-80m
8s
the units for measure for acceleration. I know there is
8s²
m
40™
= 40 = 40÷8s = 40 × ² =
8s
m
indeed the units for measure for acceleration is
40m
m
=
= 5 As you can see here, I calculated
but I show my work and prove that
I hope that my example is clear. If you have any questions please write an email.
Transcribed Image Text:Example A car is accelerating from 80 m/s to 120 m/s in 8 seconds. Calculate the acceleration? G: v₁ = 80m/s vf = 120m/s At = 8s U: a =? 21 E: a = 5 120-80 S m S: a = 8s for acceleration As you can see, I carried the unit of measure for speed and time in the formula S: a = 120-80m 8s the units for measure for acceleration. I know there is 8s² m 40™ = 40 = 40÷8s = 40 × ² = 8s m indeed the units for measure for acceleration is 40m m = = 5 As you can see here, I calculated but I show my work and prove that I hope that my example is clear. If you have any questions please write an email.
20. A spring with a force constant of 225 N/m is resting on a frictionless surface and
mounted horizontally on a wall. A 1.5 kg box is pushed against the spring, compressing it
12.0 cm from equilibrium. When released, the spring pushes the box across the floor.
a) How much force must be exerted on the spring to compress it 12.0 cm?
b) How much work is done on the spring to compress it 12.0 cm?
c) How much elastic potential energy is stored in the spring while it is compressed?
d) Once released, what maximum speed will the box attain?
Transcribed Image Text:20. A spring with a force constant of 225 N/m is resting on a frictionless surface and mounted horizontally on a wall. A 1.5 kg box is pushed against the spring, compressing it 12.0 cm from equilibrium. When released, the spring pushes the box across the floor. a) How much force must be exerted on the spring to compress it 12.0 cm? b) How much work is done on the spring to compress it 12.0 cm? c) How much elastic potential energy is stored in the spring while it is compressed? d) Once released, what maximum speed will the box attain?
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