1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leni [432]
3 years ago
15

An ice cube of mass 50.0 g can slide without friction up and down a 25.0 degree slope. The ice cube is pressed against a spring

at the bottom of the slope, compressing the spring 0.100 m The spring constant is 25.0 N/m When the ice cube is released, how far will it travel up the slope before reversing direction?
Notice that all the initial spring potential energy was transformed into gravitational potential energy. If you compressed the spring to a distance of 0.200 m, how far up the slope will an identical ice cube travel before reversing directions?

Physics
2 answers:
BlackZzzverrR [31]3 years ago
7 0

Answer:

a) s = 0.603\,m, b) s = 2.412\,m

Explanation:

a) The system ice cube-spring is modelled by means of the Principle of Energy Conservation. Let assume that height at the bottom is zero:

U_{g} = U_{k}

m\cdot g \cdot s\cdot \sin \theta = \frac{1}{2}\cdot k \cdot x^{2}

s = \frac{k\cdot x^{2}}{2\cdot m\cdot g \cdot \sin \theta}

s = \frac{(25\,\frac{N}{m} )\cdot (0.1\,m)^{2}}{2\cdot (0.05\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot \sin 25^{\textdegree}}

s = 0.603\,m

b) The distance travelled by the ice cube is:

s = \frac{(25\,\frac{N}{m} )\cdot (0.2\,m)^{2}}{2\cdot (0.05\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot \sin 25^{\textdegree}}

s = 2.412\,m

siniylev [52]3 years ago
4 0

Answer:

A) at x =0.1m, distance it will travel up the slope before reversing direction = 0.603m

B) at x =0.2m, distance it will travel up the slope before reversing direction = 2.412m

Explanation:

A) First of all, the formula for Elastic potential energy is given as;

P.E = (1/2)kx²

where:

P.E= elastic potential energy ( J )

k = spring constant ( N/m )

x = spring extension or compression (m)

From the question, we are given;

mass of ice cube (m) = 50g = 0.05 kg

angle of ramp slope (θ) = 25.0°

compression of the spring (x) = 0.1m

spring constant (k =) 25.0 N/m

From conservation of energy, we know that;

Elastic Potential Energy = Gravitational Potential Energy

Thus;

(1/2)kx² = mgh

From the free body diagram i attached, it is clear that h/d = sin 25°

h = d sin25

Thus, plugging in the relevant values, we have;

(1/2)(25)(0.1)² = 0.05 x 9.81 x d x sin 25

0.125 = 0.4905 x 0.4226 x d

d = 0.125/(0.4905 x 0.4226) = 0.603m

B) if the spring is now compressed to a distance of 0.2m, x = 0.2m

Thus; (1/2)kx² = mgh will now be;

(1/2)(25)(0.2)² = 0.05 x 9.81 x d x sin 25

0.5 = 0.4905 x 0.4226 x d

d = 0.5/(0.4905 x 0.4226) = 2.412m

You might be interested in
The atoms in a sidewalk on a hot summer day are vibrating _____ the atoms in the sidewalk on a freezing day in winter.
Karolina [17]

Answer:

(A) more rapidly than

Explanation:

With higher temperatures, object's molecules (and atoms) have higher kinetic energy which is due to faster "jiggling" (vibrations). On a hot day these vibrations in the material the sidewalk is made of are more rapid than on a cold day, just as their temperatures differ.

7 0
3 years ago
Read 2 more answers
Welcome to this IE. You may navigate to any page you've seen already using the IE Outline tab on the right. A particle beam is m
Genrish500 [490]

Answer:

the magnitude of a uniform electric field that will stop these protons in a distance of 2 m is 10143.57 V/m or 1.01 × 10⁴ V/m

Explanation:

Given the data in the question;

Kinetic energy of each proton that makes up the beam = 3.25 × 10⁻¹⁵ J

Mass of proton = 1.673 × 10⁻²⁷ kg

Charge of proton = 1.602 × 10⁻¹⁹ C

distance d = 2 m

we know that

Kinetic Energy = Charge of proton × Potential difference ΔV

so

Potential difference ΔV = Kinetic Energy / Charge of proton

we substitute

Potential difference ΔV = ( 3.25 × 10⁻¹⁵ ) / ( 1.602 × 10⁻¹⁹ )

Potential difference ΔV = 20287.14 V

Now, the magnitude of a uniform electric field that will stop these protons in a distance of 2 m will be;

E = Potential difference ΔV / distance d

we substitute

E = 20287.14 V / 2 m

E = 10143.57 V/m or 1.01 × 10⁴ V/m

Therefore, the magnitude of a uniform electric field that will stop these protons in a distance of 2 m is 10143.57 V/m or 1.01 × 10⁴ V/m

3 0
3 years ago
Atoms are made up of even smaller particles called ?
labwork [276]

Answer:

Atoms are made up of even smaller particles called <u>protons,</u><u> </u><u>electrons </u><u>&</u><u> </u><u>neutrons</u><u> </u><u>(</u><u>sub</u><u>-</u><u>atomic </u><u>particles)</u>

3 0
3 years ago
Read 2 more answers
Find the slope of the line containing the two points (1,−1) and (−5,−3). (1 point)
grandymaker [24]

Answer:

(-4,-2)

Explanation:

4 0
2 years ago
What is the weight of a column of air with cross-sectional area 4. 5 m^2 extending from earth's surface to the top of the atmosp
sineoko [7]

The weight of a column of air with cross-sectional area 4. 5 m^2 extending from earth's surface to the top of the atmosphere is, 4.56*10^5N.

To find the answer, we have to know about the pressure.

<h3>How to find the weight of a column of air?</h3>
  • As we know that the expression of pressure as,

                 P=\frac{F}{A}

where; F is the force, here it is equal to the weight of the air column, and A is the area of cross section.

  • It is given that, the air column is extending from earth's surface to the top of the atmosphere, thus, the pressure will be atmospheric pressure,

             P=1atm=1.013*10^5Pascals

  • From this, the value of weight will be,

            F=mg=P*A=1.013*10^5*4.5=4.56*10^5N

Thus, we can conclude that, the weight of a column of air with cross-sectional area 4. 5 m^2 extending from earth's surface to the top of the atmosphere is, 4.56*10^5N.

Learn more about the pressure here:

brainly.com/question/12830237

#SPJ4

4 0
2 years ago
Other questions:
  • What investigations are best for demonstrating cause and effect relationship
    8·2 answers
  • An environmental group wants to sink a ship off the coast to create an artificial reef. They find that they must get a permit fr
    9·2 answers
  • The tow spring on a car has a spring constant of 3,086 N / m and is initially stretched 18.00 cm by a 100.0 kg college student o
    12·1 answer
  • A coastal forest was home to a type of burrowing rodent that was not found anywhere else in the world. A year ago, a species of
    14·1 answer
  • The human body uses water in many of its natural processes. water is made of two hydrogen atoms bonded to an oxygen atom. what a
    13·1 answer
  • While John is traveling along a straight interstate highway, he notices that the mile marker reads 239 km. John travels until he
    5·1 answer
  • N 1800kg car has an<br> of 3.8m/s? What is it<br> on the car?<br> acceleration<br> force acting
    13·1 answer
  • One of the signs a chemical reaction is taking place
    12·1 answer
  • Power selection feature for resistors to become water modules 10 liters of water at 25°C to đến
    15·1 answer
  • What mass has a rest energy of 100J?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!