(0) Calculate the momentum of the vehicle when it moves at the maximum speed of 90 km/h with load of 3000 kg

Answers

Answer 1

Answer: \(75000kg*m/s\)

Explanation:

\(p=mv\)

where;

p = momentum

m = mass = 3000kg

v = velocity = 25m/s

--------------------------------------------------------------------------------------------------

The first thing we need to do is convert 90km/h to m/s. Our conversion factors here are: 1km = 1000m and 1h = 3600s

\(90km/h(\frac{1000m}{1km})(\frac{1h}{3600s} )=25m/s\)

Plug your values in the formula:

\(p=(3000kg)(25m/s)\\p=75000kg*m/s\)


Related Questions

Bonnie sits on the outer rim of a merry-go-round, and Klyde sits midway between the center and the rim. The merry-go-round makes one revolution every 2 seconds. Who has the larger linear (tangential) velocity

Answers

Klyde has a larger linear (tangential) velocity than Bonnie on the merry-go-round.

The linear velocity of an object moving in a circular path is given by the formula v = rω, where v is the linear velocity, r is the distance from the center of the circle, and ω is the angular velocity. In this scenario, Bonnie sits on the outer rim of the merry-go-round, while Klyde sits midway between the center and the rim. Since Bonnie is farther from the center than Klyde, her distance (r) is larger. Since the merry-go-round makes one revolution every 2 seconds, the angular velocity (ω) is the same for both Bonnie and Klyde. As a result, Klyde, being closer to the center, has a smaller distance (r) but the same angular velocity, resulting in a larger linear velocity (v) compared to Bonnie.



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This triangle is an isosceles right triangle. This means that the triangle contains a _____ angle and _______ sides.

Answers

Answer:

There is a right angle and it has three sides.

Explanation:

There are two 45 degree angles and since a triangles sides ALWAYS add up to 180 we know the the other side has to be 90 degrees because 45+45+90=180. And we know that every triangle has three sides because "tri" means three.

An isosceles right triangle has a right (90°) angle and two equal sides.

A cat weighing 7 kg chases a mouse at a speed of 4 m/s. What is the kinetic energy of the cat?

Answers

54J
You calculate kinetic energy by the equation.
KE= 1/2mv^2
m= mass
v= velocity
then we have
KE = 1/2 x 3 x 6^2
KE = 1/2 x 3 x 36 = 54J

Newton's third law states that any action will have a(n) _______ and ______ reaction.

Answers

Newton's third law states that any action will have a(n) equal and opposite reaction.

__________ receptors detect presence of acids in substances, whereas __________ receptors detect sodium in substances. a. sour . . . salt b. sweet . . . bitter c. bitter . . . salt d. sweet . . . sour please select the best answer from the choices provided a b c d

Answers

The correct option is A.

Sour receptors help in the detection of the presence of acids in substances, whereas salt receptors help in the detection of sodium in substances.

A sour type of taste is considered as a quality of primary task that makes an innate rejection type of response in humans as well as in many other animals. Generally, Acidic stimuli are certain unique sources of a sour taste as whenever a  rejection response might serve a discouragement of ingestion of foods which is spoiled by microorganisms that produce acids. The mechanisms by which an acid excites receptor cells of taste (TRCs) are actually complicated by the variability of wide species and are within species that are apparently different kinds of mechanisms for the case of strong and weak acids in substances.

The presence of epithelial sodium channels mediates the mechanism of salt taste. Usually, these receptors are open, and whenever foods are ingested with a high concentration of salt, sodium starts to flow into the cell which causes depolarization. This change occuring in the membrane potential then opens to voltage-gated sodium as well as calcium channels. The calcium influx is in an increased state that causes releasing of serotonin which is filled by vesicles. The serotonin aids in the acting of afferent taste as by axon which causes depolarization and action potentials.

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Fill in the information below using the knowledge you just learned of the periodic table.

1. What is the name of this element?

2. What is the atomic number of this element?

3. What is the atomic mass of this element?

4. What is the symbol for this element?


Fill in the information below using the knowledge you just learned of the periodic table.1. What is the

Answers

1. Chromium
2. 24
3. 51.996
4. Cr

A force is 10 and is used to move a box. It is moved a distance of 3 m. What is the work involved in moving the box?

Answers

Answer:

Workdone = 30Nm

Explanation:

Given the following data;

Force = 10N

Distance = 3m

To find the workdone;

Workdone = force * distance

Substituting into the equation, we have

Workdone = 10 * 3

Workdone = 30Nm.

Therefore, the work involved in moving the box is 30 Newton-meter.

3. In which directions do these plates move?

Answers

445 578 pls go there

PLS HELP ASAP I REALLY NEED HELP AND WILL GIVE BRAINLIEST <2


5. A curious physics student asked her teacher "how quickly is Earth moving through
space?" Using the concept of relative velocity, explain why this question does not have an answer.

6. Two students are having a debate about the forces acting on a stationary object.
Lawrence says that, because the object is not moving, there are no forces acting on it.
Paula says that there can still be forces acting on an object, even if it is stationary. Which student is correct, and why?

Answers

Answer:

6. Paula is correct. Think about buildings, buildings are constantly pushed by different forces like wind or gravity. The buildings aren’t moving but this doesn’t mean that they aren’t under force

Explanation:

Physics grade 7. Free fall!!!!

Physics grade 7. Free fall!!!!

Answers

Answer:

Hello this is allina from brainly. I'll be helping you today. Use the formula, v=gt to find the velocity.

For example, the velocity after one second would be g * t = 10 m/s^2 * 1, which would be 10 m/s.

So, just put the time into the equation:

ii. 20 m/s

iii. 30 m/s

iv. 50 m/s

The formula d = 1/2gt^2 is for finding the distance it has fallen in free fall.

SO plug in the value for t into the equation.

i. 5 m

ii. 20 m

iii. 45 m/s

iv. 125 m/s

Use the previous formula (v = gt) to find the time it has fallen:

v = gt

30 m/s = 10 m/s^2 * t

t = 3 s

So it has fallen for 3 seconds.

Use the 3 seconds to find the distance it has fallen in free fall:

d = 1/2gt^2

d = 1/2 * 10 m/s^2 * 3^2 s

d = 45 m

Explanation:

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Vector A⃗ points along the negative x axis and vector B⃗ along the positive z axis.

What is the direction of A⃗ ×B⃗ ?

What is the direction of B⃗ ×A⃗ ?

What is the magnitude of A⃗ ×B⃗ ?

What is the magnitude of B⃗ ×A⃗ ?

Answers

The magnitude of B⃗ ×A⃗ is equal to the product of the magnitudes of vectors A⃗ and B⃗.

|B⃗ ×A⃗ | = |( |A||B|, 0, 0 )| is the direction of A⃗ ×B⃗.

|B⃗ ×A⃗ | = √(|A||B|)² + 0² + 0² is the direction of B⃗ ×A⃗.

|B⃗ ×A⃗ | = √(|A|²|B|²) is the magnitude of A⃗ ×B⃗.

|B⃗ ×A⃗ | = |A||B| is the magnitude of B⃗ ×A⃗.

To find the magnitude of B⃗ ×A⃗, we first need to determine the cross product of B⃗ and A⃗. The cross product of two vectors A⃗ and B⃗ is another vector C⃗ that is perpendicular to both A⃗ and B⃗. The direction of the cross product is determined by the right-hand rule, which states that if you curl the fingers of your right hand from A⃗ to B⃗, then your thumb will point in the direction of C⃗.

Since vector A⃗ points along the negative x-axis, its components are (-|A|, 0, 0). Similarly, vector B⃗ along the positive z-axis has components (0, 0, |B|). The cross product of these two vectors is given by:

B⃗ ×A⃗ = (0, -|B|, 0) × (-|A|, 0, 0)

Using the cross product formula, we can calculate:

B⃗ ×A⃗ = (0×0 - (-|B|)×(-|A|), 0×(-|A|) - 0×0, 0×0 - 0×(-|B|))
B⃗ ×A⃗ = (|A||B|, 0, 0)

The magnitude of this vector is simply the length of the vector, which is given by:

|B⃗ ×A⃗ | = |( |A||B|, 0, 0 )|
|B⃗ ×A⃗ | = √(|A||B|)² + 0² + 0²
|B⃗ ×A⃗ | = √(|A|²|B|²)
|B⃗ ×A⃗ | = |A||B|

Therefore, the magnitude of B⃗ ×A⃗ is equal to the product of the magnitudes of vectors A⃗ and B⃗.

|B⃗ ×A⃗ | = |( |A||B|, 0, 0 )| is the direction of A⃗ ×B⃗.

|B⃗ ×A⃗ | = √(|A||B|)² + 0² + 0² is the direction of B⃗ ×A⃗.

|B⃗ ×A⃗ | = √(|A|²|B|²) is the magnitude of A⃗ ×B⃗.

|B⃗ ×A⃗ | = |A||B| is the magnitude of B⃗ ×A⃗.

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A two-slit pattern is viewed on a screen 1.00 m from the slits. If the two third-order minima are 21.0 cm apart, what is the width of the central bright fringe? the answer is 4.18cm. why?

Answers

The width of the central bright fringe can be calculated as half the distance between the third-order minima is 10.5 cm

The **width of the central bright fringe** in a two-slit interference pattern can be determined using the formula:

**Width of central bright fringe** = (λ × D) / d

where λ is the wavelength of light, D is the distance between the slits and the screen, and d is the distance between the slits.

In this case, the third-order minima are 21.0 cm apart. The central bright fringe is located between these two minima. Since the bright fringes are evenly spaced, the distance between adjacent fringes is the same. Therefore, the width of the central bright fringe can be calculated as half the distance between the third-order minima:

Width of central bright fringe = 21.0 cm / 2 = 10.5 cm

However, the given answer states that the width is 4.18 cm. It seems there might be an error in the calculation or information provided. Please double-check the values and calculations to ensure accuracy.

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Residence time for water in Lake Tahoe, Nevada/California is 600 years which means thatSelected A. A water molecule entering the lake will remain in the lake for 600 years.
B. The total volume of water in Lake Tahoe remains constant for 600 years.
C. The water in Lake Tahoe will sustain aquatic life for 600 years.
D. Outflow from Lake Tahoe occurs once every 600 years.

Answers

The correct answer is A. A water molecule entering the lake will remain in the lake for 600 years.

What is residence time?

Residence time refers to the average amount of time that a water molecule spends in a particular body of water, such as a lake. In the case of Lake Tahoe, the residence time is approximately 600 years. This means that, on average, a water molecule that enters the lake will remain in the lake for 600 years before leaving through the outlet.

Option B is incorrect because the total volume of water in Lake Tahoe can vary due to precipitation, evaporation, and other factors.

Option C is also incorrect because the residence time of water in Lake Tahoe does not necessarily relate to the ability of the lake to sustain aquatic life.

Option D is incorrect because outflow from Lake Tahoe occurs regularly and is not limited to once every 600 years.

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how does the sun's overall magnetic field behave?

Answers

The Sun has a complex magnetic field that is generated by the movement of charged particles in its outer layers, known as the convection zone. The Sun's magnetic field is dynamic and can undergo significant changes over time, with its behavior being influenced by the solar cycle.

The solar cycle is a period of approximately 11 years during which the Sun's magnetic field undergoes a complete reversal. At the beginning of the solar cycle, the magnetic field is weak and has a simple structure with a single polarity. As the cycle progresses, the magnetic field becomes more complex and stronger, with the appearance of sunspots and other features indicating the presence of magnetic activity.

During this period, the magnetic field lines become twisted and stretched, forming loops and arches that can extend far above the Sun's surface. These structures can become unstable and release energy in the form of solar flares and coronal mass ejections, which can have a significant impact on the Earth's environment and technology.

After the peak of the solar cycle, the magnetic field begins to weaken and become less complex, eventually returning to a simple, single-polarity configuration at the start of the next cycle.

Overall, the Sun's magnetic field is a complex and dynamic system that undergoes significant changes over time, with its behavior being driven by the movement of charged particles in the convection zone and influenced by the solar cycle.

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A helicopter flies with a ground speed of 250 km/h If the wind speed is 17 km/h southeast, what is the air speed?

Answers

The air speed of the helicopter has the ground speed of 250 km/h is 233 km/h  

The ground speed of the helicopter = 250 km/h

The wind speed of the helicopter = 17 km/h

The air speed of the helicopter can be found using the formula,

            G = W + A
where G is the ground speed of the helicopter

           W is the wind speed of the helicopter

           A is the air speed of the helicopter

Let us rearrange the equation in order to get the airspeed,

          A = G - W

Let us substitute the known values in the above equation, we get

          A = 250 - 17

              = 233 km/h  

Therefore, the air speed of the air speed is 233 km/h

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a diffuser slows down incoming air initially at 37 degc and 300 m/s to essentially zero velocity. what is the air temperature (in degc) at the diffuser exit? assume ideal gas behavior, rair

Answers

The air temperature at the diffuser exit is approximately 79 degC.

We can use the conservation of energy equation to determine the temperature of the air at the diffuser exit, assuming ideal gas behavior. The conservation of energy equation can be written as;

(1/2) × m × v₁² + m × c × T₁ = (1/2) × m × v₂² + m × c × T₂

where m is the mass of the air, v₁ and v₂ are the velocities of the air at the inlet and outlet of the diffuser, respectively, c is the specific heat capacity of air at constant pressure, T₁ is the initial temperature of the air, and T₂ is the temperature of the air at the diffuser exit.

Since the air is slowed down to essentially zero velocity at the diffuser exit, we can assume that v₂ is zero. Thus, the conservation of energy equation becomes;

(1/2) × m × v₁² + m × c × T₁ = m × c × T₂

Simplifying and rearranging the equation, we get;

T₂ = T₁ + (v₁² / (2 × c))

We are given that the initial temperature T₁ is 37 degC and the velocity v₁ is 300 m/s. The specific heat capacity of air at constant pressure, c, is approximately 1005 J/(kg·K), and the molar mass of air, Mair, is approximately 28.97 g/mol.

Converting the velocity to SI units (m/s) and the temperature to Kelvin, we get;

T₁ = 37 + 273 = 310 K

v₁ = 300 m/s

Put these values into equation for T₂, we have;

T₂ = 310 + (300² / (2 × 1005)) = 352 K

Converting the temperature back to degrees Celsius, we get;

T₂ = 352 - 273

= 79 degC

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Find the KE of a ball of mass 500 g moving with a velocity of 4 m/s . Plz fast i have just 5 mins

Answers

Answer:

4000 J

Explanation:

KE = (1/2)(m)(v^2)

KE = .5*500*(4^2)

KE = 4000 J

Calculate the ratio of the kinetic energies of a gas at 200 °C and 100 °C.

Answers

The ratio of kinetic energies of a gas at 200 °C and 100 °C is approximately 1.268 .

It can be determined using the equation:

K.E. = (3/2) * n * R * T

Where:

K.E. = Kinetic energy of the gas

n = Number of moles of the gas

R = Gas constant (8.314 J/(mol·K))

T = Temperature in Kelvin

To calculate the ratio of kinetic energies between 200 °C and 100 °C, we need to convert the temperatures to Kelvin.

200 °C = 200 + 273.15 = 473.15 K

100 °C = 100 + 273.15 = 373.15 K

Now, let's calculate the kinetic energy at each temperature:

K.E.(200 °C) = (3/2) * n * R * 473.15

K.E.(100 °C) = (3/2) * n * R * 373.15

To find the ratio, we divide the kinetic energy at 200 °C by the kinetic energy at 100 °C:

Ratio = K.E.(200 °C) / K.E.(100 °C)

     = [(3/2) * n * R * 473.15] / [(3/2) * n * R * 373.15]

     = 473.15 / 373.15

     ≈ 1.268

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The speed of light in space is 3.00 x 10^8 m/s. The time for light from the sun to reach earth is 8mins and 20 seconds. Therefore, the distance from the Sun to Earth is

Select one:
A. 2.40 x 10^9 m
B. 8.64 x 10^12 m
C. 1.50 x 10^11
D. 2.25 x 10^9

Answers

Answer:

C. 1.50×10¹¹ m

Explanation:

First, convert the time to seconds.

8 min × (60 s/min) + 20 s = 500 s

Distance = speed × time

d = (3×10⁸ m/s) (500 s)

d = 1.50×10¹¹ m

The distance from the Sun to the Earth is 1.50 × 10¹¹. Speed is the distance travelled by an object in a particular time period. Thus, the correct option is C.

What is the Speed of light?

The speed of light in vacuum is commonly denoted by c. It is a universal physical constant. The speed of light (c) is exactly equal to 3.00 x 10⁸m/s (meter per second).

The speed of an object is the rate of change of position with respect to time. It is also defined as the distance covered by an object with respect to time. It can be calculated by dividing the distance travelled by an object by the time taken. It is a scalar quantity as it has only magnitude and no direction.

Speed = Distance / time

Distance = Speed × Time

Distance = 3.00 × 10⁸ × 500

Distance = 1500 × 10⁸

Distance =  1.50 × 10¹¹

Therefore, the correct option is C.

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Speed of electromagnetic wave is independent of
1) Wavelength
2) Frequency
3) Intensity
4) Medium in which it travels


CLASS 12 TH PHYSICS

ANSWER IF URE SURE !
AND GIVE PROPER REASON FOR URE ANSWER​

Answers

The speed of a wave is independent of its frequency and wavelength. A change in the frequency value will not result in a change in the speed value.

see attached photo below!

see attached photo below!

Answers

Answer:

0 m/s²

Explanation:

Velocity is the slope of the position vs time graph.  The graph is linear, so the velocity is constant.  Since the velocity is constant, the acceleration is 0.

A tennis ball is thrown straight up at 45 m/s. Calculate and compare the
displacement at 5 seconds and 6 seconds after its been thrown. *

Answers

Answer:

The answer to your question is given below.

Explanation:

The following data were obtained from the question:

Velocity (v) = 45 m/s

Time 5 (t₅) = 5 s

Time 6 (t₆) = 6 s

Displacement at 5 s (d₅) =.?

Displacement at 6 s (d₆) =.?

1. Determination of the displacement after 5 s.

Velocity (v) = 45 m/s

Time 5 (t₅) = 5 s

Displacement at 5 s (d₆) =.?

Velocity = Displacement /Time

v = d₅ /t₅

45 = d₅ / 5

Cross multiply

d₅ = 45 × 5

d₅ = 225 m

2. Determination of the displacement after 6 s.

Velocity (v) = 45 m/s

Time 6 (t₆) = 6 s

Displacement at 6 s (d₆) =.?

Velocity = Displacement /Time

v = d₆ /t₆

45 = d₆ / 6

Cross multiply

d₆ = 45 × 6

d₆ = 270 m

Summary:

Time >>>>>> Displacement

5 >>>>>>>>> 225 m

6 >>>>>>>>> 270 m

From the calculations made above the displacement of the ball after 6 seconds is greater than the displacement after 5 seconds.

In projectile mtion, what is the x-component of the initial velocity? if V= Vi = 100 m/s and the angle with horizontal axis Θ = 60 degrees

In projectile mtion, what is the x-component of the initial velocity? if V= Vi = 100 m/s and the angle

Answers

Answer:

???????????????????????

Explanation:

The x - component of the initial velocity is given as:

Ux = Vi cos theta

Ux = 100cos 60

Ux = 50m/s

What energy transformation takes place when you push a pencil off your desk? A. Mechanical energy transforms into kinetic energy. B. Potential energy transforms into nuclear energy. C. Potential energy transforms into kinetic energy. D. Kinetic energy transforms into potential energy.​

Answers

When you push a pencil off your desk, the energy transformation that takes place is that potential energy transforms into kinetic energy.

The correct answer to the given question is option C.

Potential energy is the energy stored within an object because of its position or configuration.

In this scenario, the pencil has potential energy because of its elevated position on the desk. When the pencil is pushed off the desk, it begins to move, which means that it has kinetic energy. Kinetic energy is the energy of motion.

As the pencil falls off the desk, its potential energy is transformed into kinetic energy, which is the energy that results from its motion. The faster the pencil falls, the greater its kinetic energy will be because kinetic energy is directly proportional to the square of an object's velocity.

Therefore, when you push a pencil off your desk, the potential energy that it has because of its elevated position is transformed into kinetic energy as it falls towards the ground.

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The volume of a sphere is 33 n cubic centimeters. What is the radius?
32
34 1 = ģistorie
Sphere V =
32
1. Substitute
3
into the volume formula for V:
2. Multiply both sides of the equation by :
3. Divide both sides of the equation by A.
4. Take the cube root of both sides:
827 = 3
8 = p3
3.3 = r.
The radius of the sphere is
cm.

The volume of a sphere is 33 n cubic centimeters. What is the radius?3234 1 = istorieSphere V =321. Substitute3into

Answers

Answer:

Ingles porfavor

Explanation:

Answer:

j type the question into wolfram it gives you answer plus explanation

HELP 100 POINTS Why don't birds get electrocuted when they land on an electric wire?

Answers

Answer: There are not able to be electricity

Explanation: Essentially, this means that the electricity is able to pass through the birds without damaging them.

When a bird is on a wire, their feets are at the same electrical potential, so most of electrons have no where to move at in the body.

the kinetic energy of an object is increased by a factor of 1.5, by what factor is the magnitude of its momentum changed?

Answers

v_final / v_initial = sqrt(1.5), the magnitude of the object's momentum is changed by a factor of sqrt(1.5).

To answer your question, we will use the following formulas:

1. Kinetic energy (KE) = 0.5 * mass (m) * velocity^2 (v^2)
2. Momentum (p) = mass (m) * velocity (v)

Given that the kinetic energy of an object is increased by a factor of 1.5, we have:

1.5 * KE_initial = KE_final

Now, let's express the final velocity (v_final) in terms of initial velocity (v_initial):

KE_final = 0.5 * m * v_final^2

1.5 * (0.5 * m * v_initial^2) = 0.5 * m * v_final^2

Cancel out the common factors and solve for the ratio of final to initial velocity:

1.5 * v_initial^2 = v_final^2
v_final / v_initial = sqrt(1.5)

Now, let's find the factor by which the magnitude of its momentum changed:

p_initial = m * v_initial
p_final = m * v_final

Factor of change in momentum = p_final / p_initial = (m * v_final) / (m * v_initial) = v_final / v_initial

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Do percent error and percent difference give indications of accuracy or precision? discuss.

Answers

Percent error and percent difference are mathematical measures used to compare experimental or measured values with theoretical or known values. While they provide information about the discrepancy between the measured and expected values, they do not directly indicate the accuracy or precision of the measurements. Let's discuss their implications:

1. Percent Error:

Percent error is calculated by comparing the absolute difference between the measured value and the expected value to the expected value itself. It is used to assess the accuracy of a measurement by quantifying how far off the measured value is from the expected value.

Percent error = (|Measured value - Expected value| / Expected value) * 100

A low percent error indicates a close agreement between the measured and expected values, suggesting higher accuracy. However, it does not provide information about the precision of the measurements or the consistency of the repeated measurements.

2. Percent Difference:

Percent difference compares the absolute difference between two measured values to their average. It is used to compare two experimental measurements or values obtained from different methods or sources.

Percent difference = (|Value 1 - Value 2| / (Value 1 + Value 2) / 2) * 100

Percent difference provides information about the relative difference between two measurements or values. It can indicate discrepancies or variations between the two measurements, but it does not directly address the accuracy or precision of individual measurements.

Accuracy and precision are distinct concepts:

- Accuracy refers to how close a measured value is to the true or expected value. A low percent error indicates higher accuracy.

- Precision refers to the consistency and reproducibility of measurements. It is related to the range of values obtained in repeated measurements and is typically assessed using measures such as standard deviation or uncertainty.

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what must the width of the box be for the ground-level energy to be 5.0 mev , a typical value for the energy with which the particles in a nucleus are bound? express your answer using two significant figures.

Answers

Expressing the width of the box with two significant figures, the width is approximately 8.3 × 10⁻²⁹ m.

How to determine the width of the box?  

To determine the width of the box for the ground-level energy to be 5.0 MeV (mega-electron volts), we can use the equation for the energy levels of a particle in a box.

The energy levels of a particle in a one-dimensional box are given by the equation:

E = (n² × h²) / (8 × m × L²)

where:

E is the energy level of the particle,

n is the quantum number (1, 2, 3, ...),

h is the Planck's constant (approximately 6.626 × 10^-34 J·s),

m is the mass of the particle,

L is the width of the box.

We are given that the ground-level energy is 5.0 MeV. To convert this to joules, we'll use the conversion factor: 1 MeV = 1.602 × 10⁻¹³ J.

Converting the energy to joules:

E = 5.0 MeV × (1.602 × 10⁻¹³ J/MeV)

E = 8.01 × 10⁻¹³ J

For the ground-level energy (n = 1), the equation becomes:

8.01 × 10⁻¹³ J = (1² × h²) / (8 × m × L²)

Rearranging the equation to solve for the width of the box (L):

L² = (h²) / (8 × m × E)

Taking the square root of both sides:

L = √[(h²) / (8 × m × E)]

Substituting the known values:

L = √[(6.626 × 10⁻³⁴ J·s)² / (8 × m × 8.01 × 10⁻¹³ J)]

L = √[(4.3822769 × 10⁺⁶⁷ J²·s²) / (6.408 × 10⁻¹² kg)]

L = √[6.83428 × 10⁻⁻⁵⁶ J²·s²/kg]

L ≈ 8.273 × 10⁻²⁹ m

Expressing the width of the box with two significant figures, the width is approximately 8.3 × 10⁻²⁹ m.

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Q4. a 5.0-kg bowling ball rolls down a frictionless 2.5 m tall ramp and strikes a
stationary mass at the bottom of the ramp in a pertectly elastic collision.
to what
height back up the ramp does the first bowling travel after the collision if
a) the stationary mass is also 5.0 kg
b) the stationary mass is 10.0 kg
c) the stationary mass is 500.00kg

Answers

If the stationary mass is also 5 kg, then the bowling travel upto 2.5 m. If it is 10 kg the height it travel after the collision will be 1.25 m and if the stationary mass is 500 then the height will be 0.025 m.

What is elastic collision?

An elastic collision is the short term force acting between two objects make them move apart or to one direction where, the total kinetic energy and momentum of the objects are conserved.

Here, the kinetic energy of the moving ball is equal to the work done by its weight and displacement.

hence Ke = f.ds

f = mg. ds  = 5 kg × 9.8 m/s² × 2.5 m = 122.5 J

Then this work done is equal to the potential energy of the stationary mass and:

122.5 J = mgh.

then for a mass of 5 kg , h = 122.5 /  (5 × 9.8 ) = 2.5 m

If the mass is 10 kg, h =   122.5 /  (10× 9.8 ) = 1.25 m

If the mass is 500 kg, h =  122.5 /  (500 × 9.8 ) = 0.025 m.

Therefore the height that the bowling travel back after collision varies with the mass of the stationary object.

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