1. California sea lions can swim as fast as 40.0 km/h. Suppose a sea lion begins to chase a fish at this speed when the fish is 60.0 m away. The fish, of course, does not wait, and swims away at a speed of 16.0 km/h. How long would it take the sea lion to catch the fish?
2. A pet-store supply truck moves at 25.0 m/s north along a highway. Inside, a dog moves at 1.75 m/s at an angle of 35.0° east of north. What is the velocity of the dog relative to the road?

Please explain your work and give the formulas you used. Tysm <3!

Acceleration =  speed / time

speed = v= 30m    time = t 9s

a  = v/ t

  30m/ 9s

= 3.4ms⁻¹

The hockey puck is decelerating at an approximate rate of 0.37 m/s² based on the given distance covered and time taken for the puck to come to a stop.

In this case the hockey puck covered a distance of 30 m and came to rest in 9 seconds. This is a clear case of constant deceleration which can be calculated using the formula for constant acceleration: a = (v - u) / t. Here, t = time = 9 s, u = initial velocity (which we don't know), and v = final velocity = 0 m/s (since the puck comes to rest). The only unknown here is the initial velocity. However, since we know the total distance travelled by the puck (d = 30 m) and the time taken we can utilise the second equation of motion: d = ut + 0.5at². By substituting the known values and simplifying, we arrive at the equation 30 = 9u indicating that u = 3.33 m/s (approx).

With the initial velocity determined as 3.33 m/s, we can calculate acceleration, i.e., deceleration as a = (v - u) / t = (0 - 3.33) / 9, which comes out as -0.37 m/s². The negative sign indicates deceleration (or slowing down). So the constant deceleration of the hockey puck is approximately 0.37 m/s² in magnitude.

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the aanswer is d. ur wellcome

The illustration is an example of the 3-color photo-offset printing process.

The illustration's content is a simplified conceptual representation of a pulsed industrial laser being used to slice donuts while they are still cooking in the oil, prior to injection of jelly via the same orifice.

force applied due to earth on the apple is given as

[tex]F = ma[/tex]

given that

m = 0.37 kg

a = 9.8 m/s^2

now we have

[tex]F = m*a[/tex]

[tex]F = 0.37* 9.8 = 3.63 N[/tex]

now as per Newton's III law equal and opposite force is applied on earth

so now we can find acceleration of Earth using same equation as we used above

[tex]F = ma[/tex]

here we know that

m = mass of earth

F = 3.63 N

[tex]3.63 = 5.98 * 10^{24} * a[/tex]

[tex]a = \frac{3.63}{5.98 * 10^{24}[/tex]

[tex]a = 6.1 * 10^{-25} m/s^2[/tex]

so acceleration of earth is very small and given by above value

According to Newton's third law, the apple and the Earth exert equal and opposite forces upon each other when the apple is in free-fall. The force that the apple exerts on the Earth is its weight (0.37 kg * 9.8 m/s^2 = 3.626 N), and this is the same magnitude of force that the Earth applies on the apple, causing it to accelerate towards the Earth's surface.

Indeed, according to Newton's third law, for every action, there is an equal and opposite reaction. This principle applies to the scenario of an apple falling towards the earth's surface. When you drop the apple, its weight, or the force due to gravity, accelerates it at 9.8 m/s^2, towards the earth. Conversely, the apple exerts an equivalent force back towards earth. However, due to earth's significantly larger mass, the acceleration it experiences as a result of this force isn't noticeable.

Now, let's clarify the concept of this force exerted by the apple. Weight can be computed as the product of mass and gravity (w=mg). In this case, the mass is 0.37 kg and gravity is 9.8 m/s^2, thus the weight of the apple is 3.626 N. This value represents the force that the apple exerts on Earth when it's in free fall, which is also the force that Earth exerts on the apple, causing it to accelerate downwards.

The magnitudes of these forces are equal, aligning with Newton's third law. Yet, the direction of the forces are opposite. When Earth pulls the apple downwards, the apple simultaneously pulls Earth upwards with the same magnitude of force.

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A prediction is a guess of something happening in the future.

A prophecy, but not always concerning with weather forecast. Pre signifies “before” and diction has to accomplish with talking. So a prediction is a judgment about the tomorrow. It's a daydream, which is based on events or consecration, but not enduringly. A prediction is usually, but not invariably, depends upon experience or information. There is no universal consensus about the specific difference among the two terms distinct authors and communities ascribe various connotations.

Time period of simple pendulum is given by formula

[tex]T = 2\pi \sqrt{\frac{L}{g}}[/tex]

here

L = length of pendulum

g = acceleration due to gravity

now as per formula we can see that time period is directly proportional to the square root of the length.

So in order to increase the time period we can increase its length

so correct answer would be

b. by making the string longer

Answer:

by making the string longer

Explanation:

Given that the mass of the car is M = 439 Kg

We know that the acceleration due to gravity on earth is g = 9.8 m/[tex]s^{2}[/tex]

Weight can be calculated using the formula

W = mg

Plugging in the numbers, we get

W = (439)(9.8) = 4302.2 N

Thus, the weight of the car on earth is 4,302 N.

Answer:

This is because of the first Newton's law:

If an object is at rest or at moving with constant velocity, it will remain doing that untill a force is applied on the object.

Now, if the car is still, and then it speeds, the box will want to keep the movement that it was doing before, so it will slide in the seat until the box gets the same speed as the car (this can happen when the box hits the back of the seat, and the back of the seat "pushes" the box)

Now, the same happens when the car stops, now the box has a velocity and when the car stops the box will keep moving forward, because there is no force that stops the box.

Speed v = distance travelled / time taken

v = d / t

v =  540 / 60h

v =   9 km /h

The speed of the car that travels a distance of 540km in 6 hours is 90km/hr

Explanation:

Given:

Distance the car travels =540km

Time taken by the car to travel 540 km= 6 hours

To Find:

Rate at which the car travels=?

Solution:

[tex]\text { formula for speed }=\frac{\text { distance }}{\text { time }}[/tex]

Substituting the known values,

[tex]\text { formula for speed }=\frac{\text {distance}}{\text {time}}[/tex]

[tex]\text { formula for speed }=\frac{540}{6}[/tex]

[tex]\text { formula for speed }=90 \mathrm{km} / \mathrm{hr}[/tex]

Thus the  speed of car is [tex]90 \mathrm{km} / \mathrm{hr}[/tex]

rubber gloves would be best because

using something wet can shock you

plastic is an insulator

metal is also a conductor

the answer(s) would be B and C

they can be called polar covalents

Polar molecules are hydrophillic, So you can say hydrophillic (loves water)

1 AU = it is defined as distance of Earth from Sun

it is also known as solar distance

So here we know that distance of Earth and Sun is

[tex]1 AU = 1.5 * 10^{11} meter[/tex]

1 Light Year = It is defined as the distance covered by light in 1 year of time

it is calculated by simple product of speed * time

[tex]1 Ly = c*t[/tex]

[tex]c = 3* 10^8 m/s[/tex] = speed of light

[tex]t = 1 year = 365 * 24 * 3600 s[/tex]

[tex]t = 3.15 * 10^7 s[/tex]

now we can find the value of 1 Ly

[tex]1 Ly = 9.46 * 10^{15} m[/tex]

now Voyager distance is given as

[tex]d = 141 AU[/tex]

now in order to convert it into Ly we can say

[tex]d = 141 * 1.5 * 10^{11} = 2.115 * 10^{13} m[/tex]

now we have

[tex]d = \frac{2.115 * 10^{13}}{9.46 * 10^{15}}[/tex]

[tex]d = 2.24 * 10^{-3} Ly[/tex]

so the distance in light year must be 0.00224 Light years

The same current flows through each part of a series circuit. The total resistance of a series circuit is equal to the sum of individual resistances. Voltage applied to a series circuit is equal to the sum of the individual voltage drops.

In a series circuit, the same amount of current flows through each component or circuit element. The voltage drop across each component in a series circuit could vary. The equivalent resistance of a series circuit is the sum of the resistances of each component.

In a series circuit, the current running through each circuit element or component, whether it's a resistor, capacitor, or inductor, remains the same. This is a fundamental concept in electricity and contrary to a parallel circuit where the voltage across each component is constant.

Let's take an example of resistors in a series circuit. The voltage drop or power dissipation across each resistor could be different. However, if you sum the voltage drops across each resistor, it adds up to the total power source input. This phenomenon can be explained using Ohm's law and the concept of equivalent resistance.

The equivalent resistance in a series circuit is the algebraic sum of individual resistances. Therefore, a key characteristic of a series circuit is that if one component fails, for instance, a bulb burns out, it affects all other components as the current flow is disturbed.

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Well! see the car experiences 300 N force to the right from the engine.

It also experiences 150N force to left due to friction and air resistance

Now, we know it is the net force which will decide the car will move in which direction

We have net force=300-150=150N

which is towards right

So that means car will accelerate in right direction.

Hope it helps!!

Hola aquí va la respuesta!!

What will happen if a car experiences a 300 N force to the right from the engine and a separate 150 N force due to friction and air resistance to the left? Show your work to support your position.

Answer:

Deceleration of the car is 2[tex]\frac{m}{s^{2} }[/tex].

Explanation:

Given:

initial speed = 12 m/s

final speed = 8 m/s

time = 2 s

To find:

acceleration = ?

Formula used:

According to first kinematic equation:

v = u + a t

Where, v = final speed

u = initial speed

t = time

a = acceleration

Solution:

According to first kinematic equation:

v = u + a t

Where, v = final speed

u = initial speed

t = time

a = acceleration

8 = 12 + 2 a

-4 = 2 a

a = -2 [tex]\frac{m}{s^{2} }[/tex]

The negative sign implies that it is deceleration. Thus, deceleration of the car is 2[tex]\frac{m}{s^{2} }[/tex].

Answer:

Acceleration value of car = -2 [tex]m/s^2[/tex]

Explanation:

 We have equation of motion, v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken.

Here a car is traveling at 12 m/s, so initial velocity = 12 m/s

After 2 seconds the speed drops to 8 m/s, so final velocity = 8 m/s

Time taken = 2 seconds

Substituting

        8 = 12 + a * 2

         2a = -4

         a = -2 [tex]m/s^2[/tex]

 Acceleration value of car = -2 [tex]m/s^2[/tex]

Yes, it is a Heterogeneous mixture because you can take it apart and look at the pieces you used to create the sandwich

Neither would move.

Hope this helps.

An object has a kinetic energy of 88 J and a mass of 45 kg, the object is moving at the speed of 1.977 meters/second.

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

The expression for total mechanical energy is as follows

ME= PE+KE

Where ME is the mechanical energy

PE is the total potential energy

KE is the total kinetic energy

As for the given problem, An object has a kinetic energy of 88 J and a mass of 45 kg.

the kinetic energy of any object is given by the expression

K.E= 1/2*m*v²

where K.E is the kinetic energy of the object

m is the mass of the object

v is the velocity of the object

by substituting the respective values

88 = 0.5* 45*v²

v²=3.911

v = 1.977 meter/ seconds

The object is moving at the speed of 1.977 meters/ seconds.

Learn more about mechanical energy from here

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Answer with Explanation:

Atom=Smallest Particle present on earth

Subatomic Particle=Smaller than Atom(Electron +Proton)

Electron = -vely Charged Particle

Proton =+vely Charged Particle

In J.J Thompson Model of Atom , which is called Plum Pudding model ,Electrons and Protons that is Subatomic particles were uniformly Distributed inside the Nucleus of Atom.

But Rutherford Contradicted Thompson by saying that, Protons are fixed inside the nucleus and Electrons are moving in Elliptical path around the nucleus like the planets around the sun.This Model is Known as Planetary Model.

Answer:a bowling ball will hit the ground first

Explanation:because a balling ball had more mass(weight) they won’t hit the ground at the same time because there’s on earth so there’s air resistance

consider east-west direction along X-axis  and north-south direction along Y-axis

[tex]V_{ra}[/tex] = velocity of migrating robin relative to air = 12 j m/s

(where "j" is unit vector in Y-direction)

[tex]V_{ag}[/tex] = velocity of air relative to ground = 6.3 i m/s

(where "i" is unit vector in X-direction)

[tex]V_{rg}[/tex] = velocity of migrating robin relative to ground = ?

using the equation

[tex]V_{rg}[/tex] = [tex]V_{ra}[/tex] + [tex]V_{ag}[/tex]

[tex]V_{rg}[/tex] = 12 j + 6.3 i

[tex]V_{rg}[/tex] = 6.3 i + 12 j

magnitude : sqrt((6.3)² + (12)²) = 13.6 m/s

direction : tan⁻¹(12/6.3) = 62.3 deg north of east

B is the answer i pretty sure...

Wave is a disturbance or energy that propagate through medium from one point to other point

So basically it is a flowing energy that flows into the medium and hence medium particles start oscillating about their mean position to and fro.

This motion of medium particles or this to and fro motion is about their mean position and this will always be cyclic or periodic motion

This means the disturbance or energy continuously flow through the medium such that it will change the position of medium particle and this will be cyclic in order

For an example

[tex]y = A sin(\omega t + kx + \phi)[/tex]

so here above equation of wave is a travelling wave in which displacement of medium particle from its mean position is given by "y"

Now we can see that this disturbance depends upon the sine function and it will repeat its same position after every 2 pi time interval as it is cyclic function for this value

Due to this phenomenon of repeatation of its same position we can say that it is disturbance of wave is cyclic.

A cyclic or periodic wave is a repeating disturbance characterized by crests and troughs, with a wavelength defining the distance between successive crests. The wave's period is the time for a complete oscillation, and its frequency is the number of cycles per unit time.

When we say that a wave is a cyclic, or periodic, disturbance, we mean it exhibits a specific pattern that repeats itself over time. A wave motion has a series of crests and troughs; moving from one crest through a trough to the next crest constitutes one complete cycle. The wavelength is the horizontal distance between successive wave crests. Waves like those on the water surface can cause objects to experience simple harmonic motion, moving up and down as the wave passes through. The period T of the wave is the time it takes for one complete oscillation, while the frequency f is the number of cycles per unit time, given by the equation f = 1/T. Understanding these properties helps describe a wave's amplitude, frequency, wavelength, speed, and energy—all essential to characterize periodic waves and their effects on the surrounding environment.

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A stone is thrown straight up. when it reaches it’s highest point, its velocity is zero and acceleration is not zero. Option b

When a stone is thrown straight up, it reaches a point where its velocity is zero because it stops momentarily before starting to fall back down. However, even at this highest point, the acceleration of the stone is not zero.

The stone is still under the influence of gravity, which provides a constant acceleration directed downwards towards the Earth's center. Therefore, the acceleration due to gravity, g, continues to act on the stone even when its velocity is zero.

The correct answer to the question is therefore (b) its velocity is zero and acceleration is not zero. The acceleration of the stone at its highest point is equal to the acceleration due to gravity, which is approximately 9.8 m/s2 directed downwards. Option  b

Level of sound is related to intensity by this equation

[tex]L = 10 Log \frac{I}{I_o}[/tex]

given that

L = 85 dB

also we know that

[tex]I_o = 10^{-12} W/m^2[/tex]

now we have

[tex]85 = 10 Log \frac{I}{10^{-12}}[/tex]

By solving above equation

[tex]I = 10^{8.5} * 10^{-12}[/tex]

[tex]I = 3.16 * 10^{-4} W/m^2[/tex]

now above is the intensity due to two firecrackers and if we wish to find the sound level of one firecracker then we will find its half level intensity

[tex]I_1 = \frac{I}{2}[/tex]

[tex]I_1 = 1.58 * 10^{-4}[/tex]

now again by above formula

[tex]L = 10 Log \frac{1.58 * 10^{-4}}{10^{-12}}[/tex]

[tex]L = 82 dB[/tex]

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

What is kinematics?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Answer:

Total time taken to travel 100 m = 23.82 seconds

In first case the velocity is constant and in the second case velocity is reducing by 0.2 m/s each second, so time taken will be different.

Explanation:

 A go-cart travels the first half of a 100m track with a constant speed of 5.00m/s

Time taken for first half of 100m = Distance velocity = 50/5 = 10 seconds

We have equation of motion [tex]s=ut+\frac{1}{2} at^2[/tex], where s is the displacement, u is the initial velocity, t is the time taken and a is the acceleration.

 For the second half of 100m we have

   s = 50 m, u = 5 m/s, a = [tex]-0.200m/s^2[/tex]

Substituting

  [tex]50=5t-\frac{1}{2} *0.2*t^2\\ \\ 0.1t^2-5t+50=0\\ \\ t^2-50t+500=0[/tex]

 t = 13.82 seconds or t = 36.18 seconds

 So it will take 13.82 seconds to travel second 50m

Total time taken = 10 + 13.82 = 23.82 seconds

In first case the velocity is constant and in the second case velocity is reducing by 0.2 m/s each second, so time taken will be different.

Final answer:

To determine the time it takes for a go-cart to travel a 100m track, we calculate the time for the first 50m traveled at a constant speed of 5.00m/s, which is 10 seconds. Then, for the second 50m, we factor in the deceleration of 0.200m/s^2, realizing the go-cart will not complete the second half of the track.

Explanation:

The question involves calculating the total time taken for a go-cart to complete a 100m track, which is split into two segments. The go-cart travels the first half with a constant speed, and in the second half, it experiences a deceleration due to a mechanical problem.

Step 1: Time for the first half

The go-cart travels the first 50m at a constant speed of 5.00m/s. The time (t) taken to travel this distance can be found using the formula: t = distance/speed. So, for the first 50m, t = 50m / 5.00m/s = 10 seconds.

Step 2: Time for the second half

In the second half, the go-cart slows down at a rate of 0.200m/s2, starting from the initial speed of 5.00m/s. To find the time taken to come to a stop, we use the kinematic equation v2 = u2 + 2as, where v is the final velocity (0 m/s), u is the initial velocity (5.00 m/s), a is the acceleration (-0.200m/s2), and s is the distance (50m). Solving for time, we get the second time period needed to travel the remaining distance.

Due to the deceleration, the final velocity of the go-cart will eventually reach 0 m/s before the end of the 50m stretch, which means we must first solve for the time to stop, and then add the remaining time to travel the leftover distance at 0 m/s, which is not possible, indicating the go-cart won't reach the end of the track due to the deceleration.

In this experiment, the warmth of the air is an dependent variable.

Answer:

Dependent variable

Explanation:

In an experiment, Independent variable means the one which is being changed to observe changes in the other variable (dependent). The environmental factor which is kept stable is known as constant.

In the given experiment, the material is an independent variable. The warmth of the air is dependent variable because the warmth will depend on the material. All the boxes are kept in same place. This is constant. All the boxes are kept for 1 hour. Time is the control.

-- If the force is applied in the same direction as the object is moving, then the object's momentum in that direction will increase.

-- If the force is applied in the direction OPPOSITE to the way the object is moving, then the object's momentum will decrease.

-- In either case, the CHANGE in the object's momentum will be

(strength of the force) x (length of time the force is applied) .

This quantity is also called "impulse".

The term that best describes how many waves that pass? It's frequency because how many waves are passed by a given point or time is called the waves frequency. I hope this helped you out on your assignment.

The term frequency (D) best describes the number of waves that pass a point in one second and is measured in hertz (Hz). It is calculated by dividing wave speed by wavelength or by counting the waves that pass a point within a set timeframe.

The term that is best described as the number of waves that pass a point in one second is frequency (D). Frequency is measured in hertz (Hz), which are equivalent to cycles per second. To determine the frequency, one must count how many waves pass a marker within a certain timeframe. For example, if three waves pass a point in three seconds, the frequency would be 1 Hz since one wave is passing per second.

The relationship between wave speed, frequency, and wavelength is frequency (f) = wave speed (v) / wavelength (λ). This equation shows that if you know the wave speed and its wavelength, you can calculate the frequency. Conversely, knowing the frequency and wavelength, you can determine the wave speed.