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
Scorpion4ik [409]
2 years ago
11

A 35.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with an amplitude of 4.00 cm on a frictionles

s, horizontal surface. (a) Find the total energy of the system. mJ (b) Find the speed of the object when its position is 1.20 cm. (Let 0 cm be the position of equilibrium.) m/s (c) Find the kinetic energy when its position is 2.50 cm. mJ
Physics
1 answer:
slamgirl [31]2 years ago
4 0

Answer:

(a) The total energy of the spring system is 0.032 J

(b) The speed of the object when its position is 1.20 cm is approximately 1.28996 m/s

(c) The kinetic energy when its position is 2.50 cm is 0.0195 J

Explanation:

The given parameters are;

The mass of the object connected to the spring, m = 35.0 g = 0.00

The force constant, k = 40.0 N/m

The amplitude of the oscillation, a = 4.00 cm = 0.04 m

Therefore, we have

(a) The total energy of the spring system, E given as follows;

E = PE + KE = 1/2·m·v² + 1/2·k·x²

Where;

v = The velocity of the spring

x = The extension of the spring

When the spring is completely extended, x = a, and v = 0, therefore;

The total energy of the spring system, E = 1/2 × k × a² = 1/2 × 40.0 N/m × (0.04 m)² = 0.032 J

(b) At x = 1.20 cm = 0.012 m, we have;

E = 1/2·m·v² + 1/2·k·x²

0.032 = 1/2 × 0.035  × v² + 1/2 ×  40 × 0.012²

0.032 - 1/2 ×  40 × 0.012² = 1/2 × 0.035  × v²

0.02912 = 1/2 × 0.035  × v²

1/2 × 0.035  × v² = 0.02912

v² = 0.02912/(1/2 × 0.035) = 1.664

v = √1.664 ≈ 1.28996

The speed of the object when its position is 1.20 cm,  v ≈ 1.28996 m/s

(c) When its position is 2.50 cm = 0.025 m, we have;

E = PE + KE

0.032 = 1/2 ×  40 × 0.025² + KE

KE = 0.032 - 1/2 ×  40 × 0.025² = 0.0195

The kinetic energy when its position is 2.50 cm = 0.0195 J.

You might be interested in
A ball is projected horizontally from the top of a hill with a velocity of 30m/s if it reaches the ground 5sec later the height
Vikki [24]

Answer:

The hill is a total of 150 meters tall

Explanation:

30×5=150

7 0
2 years ago
How is fission used to produce electricity? a. the heat generated from the fission reaction is used to boil water, which rises a
denis-greek [22]

According to the research, the correct option is a. The heat generated from the fission reaction is used to boil water, which rises and spins a turbine.

<h3>How is fision used to produce electricity?</h3>

In fusion, two atoms come together to form a larger one, releasing enormous amounts of energy in the process, this is used by generators to produce electricity.

As a result of nuclear fusion, large amounts of heat are generated that are used to produce pressurized steam, which allows mechanical energy to be obtained to start up electric power generators.

Therefore, we can conclude that according to the research, the correct option is a. The heat generated from the fission reaction is used to boil water, which rises and spins a turbine.

Learn more about fision reaction here: brainly.com/question/13207914

#SPJ1

4 0
2 years ago
Newton’s law of universal gravitation a. is equivalent to Kepler’s first law of planetary motion. b. can be used to derive Keple
Finger [1]
Kepler derived his three laws of planetary motion entirely from
observations of the planets and their motions in the sky.

Newton published his law of universal gravitation almost a hundred
years later.  Using some calculus and some analytic geometry, which
any serious sophomore in an engineering college should be able to do,
it can be shown that IF Newton's law of gravitation is correct, then it MUST
lead to Kepler's laws.  Gravity, as Newton described it, must make the planets
in their orbits behave exactly as they do.

This demonstration is a tremendous boost for the work of both Kepler
and Newton.
5 0
3 years ago
Read 2 more answers
R1=3 ohms
brilliants [131]

Answer: current I = 1.875A

Explanation:

If the resistors are connected in series,

Then the equivalent resistance will be

R = 6 + 18 + 15 + 9

R = 48 ohms

Using ohms law

V = IR

Make current I the subject of formula

I = V/R

I = 90/48

I = 1.875A

And if the resistors are connected in parallel, the equivalent resistance will be

1/R = 1/6 + 1/18 + 1/15 + 1/9

1/R = 0.166 + 0.055 + 0.066 + 0.111

R = 1/0.3999

R = 2.5 ohms

Using ohms law

V = IR

I = 90/2.5

Current I = 35.99A

3 0
3 years ago
During convection of air currents,
pav-90 [236]

During convection of air currents,  cool air sinks. <em>(b)</em>

4 0
3 years ago
Read 2 more answers
Other questions:
  • A submerged submarine alters its _____ to rise or fall in the water.
    14·2 answers
  • A 9­v battery is connected to a light bulb with a resistance of 3?. what is the current in the circuit
    12·1 answer
  • A balloon rubbed against denim gains a charge of −7.0 µc. what is the electric force between the balloon and the denim when the
    7·1 answer
  • The weight of an object on Earth is determined by
    11·1 answer
  • A rock is thrown upward from level ground in such a way that the maximumheight of its flight is equal to its horizontal rangeR.
    6·1 answer
  • In an experiment, an object is released from rest from the top of a building. Its speed is measured as it reaches a point that i
    5·1 answer
  • If the earth was a spinning globe , what would happen to the oceans?
    8·1 answer
  • Explain the statement: “Cells are the basic units of structure and function in living things.”
    15·1 answer
  • How does the distance traveled by the coin compare to its displacement after ten flips?
    13·1 answer
  • Is horsepower the only thing to be considered when purchasing a piece of equipment?Explain.​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!