A mass of 3.6 kg oscillates on a horizontal spring with a spring constant of 160 N/m. When the mass passes the equilibrium point its speed is 5.2 m/s. d. What is the maximum displacement of the mass?

Answers

Answer 1

Answer:

x = 0.78 m = 78 cm

Explanation:

Applying the law of conservation of energy to the spring-mass system, we can write the following equation:

[tex]Kinetic\ Energy\ at\ Mean\ Position= Potential\ Energy\ at\ extreme\ position\\\frac{1}{2}mv^2 = \frac{1}{2}kx^2\\\\x^2 = \frac{mv^2}{k}\\\\x = \sqrt{\frac{mv^2}{k} }[/tex]

where,

x = maximum displacement = ?

m = mass = 3.6 kg

v = speed at mean position = 5.2 m/s

k = spring constant = 160 N/m

Therefore,

[tex]x = \sqrt{\frac{(3.6\ kg)(5.2\ m/s)^2}{160\ N/m} }\\\\[/tex]

x = 0.78 m = 78 cm


Related Questions

if i ask wat r the application of simple machine some of u will say-----> Simple machines that are widely used include the wheel and axle, pulley, inclined plane, screw, wedge and lever. While simple machines may magnify or reduce the forces that can be applied to them, they do not change the total amount of work needed to perform the overall task.
but actually the application of simple machine is
i) they transfer force from one point to another
ii) They accelerate the rate of doing work
iii) the multiply force

Answers

Answer:

DID NOT

UNDER STAND

Explan it a littlebit

How does this relate to Newton's second law?
Two balls with different weights (tennis ball and basket ball) are dropped from the same height to see which one will land first

Answers

Answer:

In ideal case, when no resistive forces are present then both the balls will reach the ground simultaneously. This is because acceleration due to gravity is independent of mass of the falling object. i.e. g = GM/R² where G = 6.67×10²³ Nm²/kg², M = mass of earth and R is radius of earth.

Let us assume that both are metallic balls. In such case, we have to take into account the magnetic field of earth (which will give rise to eddy currents, and these eddy currents will be more, if surface area will be more) and viscous drag of air ( viscous drag is proportional to radius of falling ball), then bigger ball will take slightly more time than the smaller ball.

Explanation:

In ideal case, when no resistive forces are present then both the balls will reach the ground simultaneously. This is because acceleration due to gravity is independent of mass of the falling object. i.e. g = GM/R² where G = 6.67×10²³ Nm²/kg², M = mass of earth and R is radius of earth.

Let us assume that both are metallic balls. In such case, we have to take into account the magnetic field of earth (which will give rise to eddy currents, and these eddy currents will be more, if surface area will be more) and viscous drag of air ( viscous drag is proportional to radius of falling ball), then bigger ball will take slightly more time than the smaller ball.

You drive a car for 2.0 h at 60 km/h, then for another 3.0 h at 85 km/h. What is your average velocity

Answers

Answer:

Explanation:

Average velocity is found in the total displacement experienced in the trip divided by the total time it took to make this trip. If, for the first 2.0 hours, the car travels at 60 km/hr, then in 2.0 hours the car can travel 120 km; if it then travels for 3.0 at 85 km/hr, it can travel 255 km in the same direction. The total time this took was 5.0 hours. So doing the math and rounding correctly by following the rules for the adding and subtracting of sig fig's:

[tex]v=\frac{120+255}{5.0}=\frac{380}{5.0}=76\frac{km}{hr}[/tex]

If you do not round when you add, the average velocity is 75 km/hr

I have no questions.

Answers

Answer: happy Ramadan

Explanation: thanks

Calculate the weight(W) of a 40 Kg bowling ball?
W = m(Kg) x g (9.8 m/s2)

Answers

Answer:

392 N

Explanation:

Mass of the ball=40kg

g=9.8m/s^2

Weight(w)=40×9.8

=392N

A 700 kg car going 12 m/s speeds up to 30.6 m/s in 7 seconds. How much work was done to increase its speed?

Answers

Answer:

Approximately [tex]2.8 \times 10^{5} \; \rm J[/tex] (assuming that the car is moving on level ground, and that there is no friction to hinder the motion of the car.)

Explanation:

Formula for the kinetic energy, [tex]\rm KE[/tex], of an object of [tex]m[/tex] travelling at velocity [tex]v[/tex]:

[tex]\displaystyle \text{KE} = \frac{1}{2}\, m \cdot v^{2}[/tex].

Let [tex]v_1[/tex] and [tex]v_2[/tex] denote the velocity of this car before and after the acceleration.

Kinetic energy of this car before the acceleration:

[tex]\begin{aligned}\text{KE}_1 &= \frac{1}{2}\, m \cdot {v_1}^{2} \\ &= \frac{1}{2} \times 700\; \rm kg \times (12\; \rm m \cdot s^{-1})^{2} \\ &\approx 5.0 \times 10^{4}\; \rm J\end{aligned}[/tex].

Kinetic energy of this car after the acceleration:

[tex]\begin{aligned}\text{KE}_2 &= \frac{1}{2}\, m \cdot {v_2}^{2} \\ &= \frac{1}{2} \times 700\; \rm kg \times (30.6\; \rm m \cdot s^{-1})^{2} \\ &\approx 3.3\times 10^{6}\; \rm J\end{aligned}[/tex].

Assume that this car was travelling on level ground. Also assume that there is no friction to hinder the motion of this car. The work of the engine of this car  would be equal to the amount of [tex]\rm KE[/tex] that the car has gained:

[tex]\rm KE_2 - KE_1 \approx 2.8\times 10^{5}\; \rm J[/tex].

2. Using the solar system data in the
reference table, rank the following
pairs of planets according to the
gravitational force they exert on
each other, from least to greatest.
Specifically indicate any ties.
Mass. Average radius
(kgÅ~1024). (mÅ~106)
Mercury. 0.330. 2.44
Venus 4.87 6.05
Earth 5.97 6.38
Jupiter 1899 71.5
Saturn 569 60.3

A. Mercury and Venus, when
5.0Å~107 km apart

B. Jupiter and Saturn, when
6.6Å~108 km apart

C. Jupiter and Earth, when
6.3Å~108 km apart

D. Mercury and Earth, when
9.2Å~107 km apart

E. Jupiter and Mercury, when
7.2Å~108 km apart

Answers

Answer:

I'm pretty sure the answer would be C.

the atomic mass unit (amu) is

a. the mass of a single atom of carbon
b. one millionth of a gram
c. approximately the mass of a proton
d. approximately the mass of an electron

(dont send me a link please)

Answers

Answer:

The correct option is (a).

Explanation:

One Atomic mass unit is the mass of an atom. It is defined as the mass of a single carbon -12 at rest.

The relation between amu and kg is given by :

[tex]1\ amu=1.66\times 10^{-27}\ kg[/tex]

Hence, one amu is equal to the mass of a single atom of carbon.

How much kinetic energy does a 2 kg ball have if it is going 5 m/s ?

Answers

Explanation:

mass(m)=2 kg

velocity(v)=5m/s

Now,

Kinetic energy(K.E.)=1/2mvsq

=1/2×2×5sq

=25

where,sq=square(2)

how much kinetic energy does an 8 kg bowling ball have when it is thrown 9 m/s. down the alley

Answers

Answer:

324 J

Explanation:

KE= 1/2 m*v^2

1/2*8*9^2

324 joules (=^w^=) woof woof

Explain one inference scientists made about the interior of the Earth based on seismic waves. Use the words S & P waves in your answer. Use the word refract/bend in your answer

Answers

Answer:

"An earthquake radiates P and S waves in all directions and the interaction of the P and S waves with Earth's surface and shallow structure produces surface waves. Near an earthquake the shaking is large and dominated by shear-waves and short-period surface waves."  please rephrase this in your own words.

Explanation:

Im not sure if this helps but credits to: eqseis.geosc.psu.edu › Notes › waves_and_interior

what happens to the mechanical energy of an apple as it falls from a tree?

Answers

Answer:

When the apple falls from the tree, it has some gravitational potential energy due to its height. Now, When it starts falling, the Gravitation Potential energy will starts converting into the Kinetic Energy. When the apple is about to strikes the ground, the Gravitational Potential energy have been converted into the Kinetic Energy.

Explanation:

The potential energy will be low when its kinetic energy is high and vice versa. But the mechanical energy remains conserved.

What is mechanical energy?

Mechanical energy can be explained as the sum of kinetic energy and potential energy that can be used to do work. Mechanical energy can be described as the energy of a body due to its motion or position.

The total mechanical energy of a physical system is conserved as the energy can not be created or destroyed. The mechanical energy of a physical system can only be transformed from one form to another when the forces acting work are conservative in nature.

Each force is related to potential energy form and the energy changes between different kinds of potential energy and kinetic energy but the total energy remains constant.

The mechanical energy of the apple remains conserved. As the apple falls its potential energy is converted into kinetic energy.

Learn more about mechanical energy, here:

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Which event occurs during high tide?

All of Earth’s ocean levels rise.
The moon’s orbit is closer to Earth.
The gravity of the Sun and moon cause the Earth’s crust and water to bulge.
Earth’s crust and water are being pulled in opposite directions by the Sun and moon.

Answers

Answer:

(B) The moon’s orbit is closer to Earth.

Explanation:

Answer:

B

Explanation:

NHT0015
16. A metal rod is heated increasing its temperature
by 10°C. The fractional change in its length is
1 *10-4. If a plate of same metal is heated raising
its temperature by 5°C, the fractional change in
its area will be .-
(1) 1 x 10-4
(2) 0.5 x 10-4
(3) 2 x 10-4
(4) 3 x 10-4​

Answers

Answer:

(1) 1×10⁻⁴

Explanation:

From the question,

α = (ΔL/L)/(ΔT)............. Equation 1

Where α = linear expansivity of the metal plate, ΔL/L = Fractional change in Length, ΔT = Rise in temperature.

Given: ΔL/L = 1×10⁻⁴, ΔT = 10°C

Substitute these values into equation 1

α  = 1×10⁻⁴/10

α = 1×10⁻⁵ °C⁻¹ .

β = (ΔA/A)/ΔT................... Equation 2

Where β = Coefficient of Area expansivity, ΔA/A = Fractional change in area.

make ΔA/A the subject of the equation

ΔA/A = β×ΔT.......................... Equation 3

But,

β = 2α.......................... Equation 4

Substitute equation 4 into equation 3

ΔA/A = 2α×ΔT................ Equation 5

Given: ΔT = 5°C, α = 1×10⁻⁵ °C⁻¹

Substitute into equation 5

ΔA/A = ( 2)×(1×10⁻⁵)×(5)

ΔA/A  = 10×10⁻⁵

ΔA/A  = 1×10⁻⁴

Hence the right option is (1) 1×10⁻⁴

After the full moon, the moon begins its shrinking or_phases. During these phases, the light side of the moon is on the_
A. Waning, left
B. Waxing, right
C. Waxing, left
D. Waning, right

Answers

I believe the answer is b

a pine raft (density = 373 kg/m^3) has a volume of 1.43 m^3. How much of the raft's volume is below the water line? Unit is m^3​

Answers

Answer: 0.5334

Explanation:

i got it right on accellus :p

Volume of value V = 0.5333 [tex]m^{3}[/tex]  is below the water line .

What is Archimedes principal ?

Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force equal to the weight of the displaced fluid.

F(b) = rho*g*V

F(b) = buoyant force

rho = fluid density

g = acceleration due to gravity

V = fluid volume

given

density of raft = 373 kg/[tex]m^{3}[/tex]

volume of raft = 1.43 [tex]m^{3}[/tex]

since, density  = mass / volume

mass of raft = density * volume

                    = 373 * 1.43 = 533.3 kg

using Archimedes principal

Force = density of liquid * volume of liquid displaced * acceleration due to                gravity

  mg        = 1000 * V * 9.8

  533.3 * 9.8 = 1000 * V * 9.8

  V = 0.5333 [tex]m^{3}[/tex]

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An 8.8-magnitude earthquake in Chile in 2010 killed more than 700 people. On January 12, 2010, a less powerful earthquake, measuring 7.0, killed more than 200,000 in Haiti. Why do you think this happened?

Answers

Answer:

The main reason for this is the engineering and technology driven building construction in Chile than in Haiti

Explanation:

The main reason for this is the engineering and technology driven building construction in Chile than in Haiti. Most of the buildings in Haiti do not fit in the building byelaws norms as most of them were constructed in a short period of time with less engineering and at cheaper rate. While building in Chile were built adhering to the building codes and byelaws.

The base of the building is Chile were separated from each other using the “base isolation” technology and the were also more flexible as compared to the buildings in Haiti.  

The skyscrapers in Chile were constructed in a way that they can float on the arrangements of ball bearings and padded cylinders

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 20pts-

Answers

Answer:

B

Explanation:

inside of a balloon is gas so it has room to move freely

what is the acceleration of a box weighing 666N if a force of 777N is applied to it​

Answers

Answer:

6.67

Explanation:

force=mass*gravity(10)

666/10=66.6

777/66.6=11.6666667

round off

A negative charge of 4.0 x 10 C and a positive charge of 7.0 x 10 C are separated by 0.15 m. What is
the force between the two charges?

Answers

Answer:

112×10^12N

Explanation:

We use the following equation to find the force between two charges that are away from each other at a particular distance:

F=k×q1×q2/r^2 F=9×10^9×4×10×7×10/(0.15)^2 F=252×10^11/0.225 F=1120×10^11=112×10^12

The starting temperature of a beaker of water is 60 F. The thermometer shows the temperature of the same beaker of water after being heated on a hot plate. How much higher is the temperature after the water is heated? Record your answer below.

Answers

Answer:

The temperature after the water is heated is higher by 152°F

Explanation:

The starting  temperature of a beaker of water = 60 F

Temperature of water in heated condition = 212°F

The temperature rises by 212°F - 60°F =  152°F

The temperature after the water is heated is higher by 152°F

A car traveling towards east at 40 m/s and turns towards left and travels at same speed. The change in velocity is

Answers

Answer:

Explanation:

In physics the term velocity is always a vector.  All that means is that it's got a direction with it.  which also means this vehicle that was traveling in the east direction and then turned left is and is now ,  maybe traveling in a north direction.  Making the guesses that the car was traveling due East and is now traveling due North, then the car has changed it's velocity by 40 m/s.  By The Way do you happen to know how fast 40 m/s is?  it's about 144 Kph  :0  or about 90 MPH    so this guy is also speeding  :D,  write him a ticket ... :P

Describe the energy transformations that must occur from batteries to the light in remote control. Can you think of any other objects where the same energy transformation occurs?

Answers

Answer:

Pressing the button: Mechanical to electrical  

Waste energy from this step: Mechanical to heat  

Converting electrical signal to IR: electrical to electromagnetic (infrared rays)  

Waste energy from this step: electrical to heat  

Chemical energy from battery: chemical to electrical

Explanation:

Which statements did both Aristotle and Ptolemy assume? Select two options.

The Sun was the center of the solar system.
Bodies in space traveled in circles.
Epicycles explained the “looping” movement of the planets.
The planets revolved around the Earth.
The stars in the sky are other suns.

Answers

Answer:

Bodies in space traveled in circles.

The planets revolved around the Earth.

Explanation:

Answer:  b and d

Explanation:

got it right

What is destructive interference?

a) Occurs when the crest of one wave meets the trough of another wave as they travel from two different points in the same direction and at the same frequency.

b) Occurs when the crest of one wave stays separate from another wave and they continue moving in their original direction.

Answer quickly, please!

Answers

a.............,,,..,.,.,.,.,.,,,,,,,,,’

Answer:

a

Explanation:

occurs when the crest of one wave meets the trough of another wave as they travel from two different points in the same direction and at the same frequency


A ray of light strikes a plane mirror at an angle of incidence equal to 35°. The angle between
the incident ray and the reflected ray is
A)
70°
B)

C)
55°
D)
35°

Answers

Answer:

55 degrees

Explanation:

A ray of light strikes a plane mirror at an angle of incidence. The angle between the incident ray and the reflected ray is 70°. The correct option is A.

What is law of reflection?

The law states that angle of incidence of the incident ray is equal to the angle of reflection through a plane surface.

Here, angle of incidence of light on a plane mirror is 35°, then the angle of reflection will also be 35°.

i = r = 35°

Then the angle between the incident ray and the reflected ray will be

i +r = 35 + 35 =70°

Thus, the correct option is A.

Learn more about law of reflection.

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This diagram shows a heating curve for water.

At which segment does freezing occur?



The answer is B.) W-V
Hope this helps

Answers

Answer:

it is B

Explanation:

Because I agree with her and also got 100

Two charges are separated by a distance r. The distance between the charges is tripled to 3r. If the original force between the charges was 45N what is the new force between the charges A.5N B.15N C.75N D.135N

Answers

Answer:

5N

Explanation:

The formula formula for calculating the force between charges is expressed as;

F = kq1q2/r²

If two charges are separated by a distance r and a force between  them is 45N, then;

45 = kq1q2/r² ....1

If the distance between the charges is tripled to 3r, then;

F = kq1q2/(3r)²

F = kq1q2/9r² ... 2

Divide both expressions

45/F = (kq1q2/r²)/(kq1q2/9r²)

45/F = kq1q2/r² * 9r²/kq1q2

45/F = 9

9F = 45

F = 45/9

F = 5N

Hence the new force between them will be 5N

A complete, unbroken path through which electric charges can flow is a(n)
a.
electric circuit.
b.
electrical resistance.
c.
magnetic field line.
d.
magnetic pole.

Answers

Answer:

a.

electric circuit.

Explanation:

A path through which electric charges flow. A continuous, unbroken path through which electrons can flow is a closed circuit. Charges, or current, can flow only through a closed circuit. A break or opening in a circuit creates an open circuit.

Answer:

The answer would be A

Explanation:

An electric circuit.

Hope this helped!

"No one's like me, I'm Harley frickin' Quinn"!

-Harley Quinn (Birds of Prey)

¿Cuál es la formula para resolver la caída libre?

Answers

Caída Libre

h= v0 t+1/2 g t2

vf = v0 + g t

?

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