A 500 kg cannon exerts a force of 600 N on a 10 kg cannon ball. Find (a) the acceleration of the cannon and (b) the acceleration of the cannon ball.

They have equal magnitudes and opposite directions.

Answer:

The magnitude of both velocities will be same but direction will be opposite.

Explanation:

Distance on Homestretch = d1 = 100 m

Distance on backstretch = d2 = 100 m

Time = t = 12.2 s

Magnitude of velocity on Homestretch = V1 = d1/t = 100/12.2 = 8.196 m/s

Magnitude of velocity on backstretch = V2 = d2/t = 100/12.2 = 8.196 m/s  

if we look at the racecourse, we will come to know that runner runs on homestretch and backstretch in opposite direction. Hence, magnitude of velocities will be same but direction will be opposite.  

It is given that the length of blade of the turbine is 58 m.

During the motion, the turbine will undergo rotational motion. Hence the radius of the circle traced by the turbine is equal to the length of the blade.

Hence radius r = 58 m.

The frequency of the turbine [f] =14 rpm.

Here rpm stands for rotation per minute.

Hence the frequency of the turbine in one second-

                                                      [tex]f=\frac{14}{60}\ s^-1[/tex]

                                                      [tex]f=0.23333 Hz[/tex]

Here Hz[ hertz] is the unit of frequency.

The angular velocity of the turbine [tex]\omega =2\pi f[/tex]

                                                          [tex]\omega=2*3.14*0.2333[/tex]

                                                          [tex]\omega=1.465124[/tex] radian/second

Now we have to calculate the centripetal  acceleration of the blade.

Let the linear velocity of the blade is v.

we know that  linear velocity v=ωr

The centripetal acceleration is calculated as-

                                                                      [tex]a_{c} =\frac{v^2}{r}[/tex]

                                                                            [tex]=\frac{[\omega r]^2}{r}[/tex]

                                                                            [tex]=\omega^2r[/tex]

                                                                            [tex]=[1.465124]^2 *58[/tex]

                                                                            [tex]=124.5021234 m/s^2[/tex]      [ans]

Centripetal acceleration depends on the rotational speed of object. The required value of the centripetal acceleration of the wind turbine blade is [tex]125.33 \;\rm rad/s^{2}[/tex].

The magnitude of acceleration possessed by any object with rotational motion, such that the direction of acceleration is towards the center, then such acceleration is called centripetal acceleration.

Given data-

The length of the turbine blade is, r = 58 m.

The angular speed of blade is, N = 14 rpm.

Convert the angular speed into rad/s as,

[tex]\omega = \dfrac{2 \pi N}{60}\\\\\\\omega = \dfrac{2 \pi \times 14}{60}\\\\\omega =1.47 rad/s[/tex]

And the expression for the angular acceleration is given as,

[tex]\alpha = \omega^{2} \times r[/tex]

Solving as,

[tex]\alpha = 1.47^{2} \times 58\\\\\alpha =125.33 \;\rm rad/s^{2}[/tex]

Thus, we can conclude that the required value of the centripetal acceleration of wind turbine blade is [tex]125.33 \;\rm rad/s^{2}[/tex].

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Answer:

The gradient of the mountain is 2.5 m.

Explanation:

Given that,

Height = 5000 m

Distance = 2 km

Gradient of the mountain is the ratio of rise of y axis and rise of x axis.

We need to calculate the gradient of the mountain

Using formula of gradient mountain

[tex]gradient\ mountain=\dfrac{rise\ y}{rise\ x}[/tex]

Put the value into the formula

[tex]gradient\ mountain=\dfrac{5000}{2000}[/tex]

[tex]gradient\ mountain=2.5\ m[/tex]

Hence, The gradient of the mountain is 2.5 m.

As Jose develops a sense of industry, he will feel confident in his abilities to achieve goals. According to Erikson's theory, there are 8 stage of psychological development of a human being. A child learn different ability in each stage of life. These 8 stage are:

So, between the age 5-12, a child possess stage of Industry vs. Inferiority. Industry means Competency or Successful in Skills. In contrary, Inferiority results due to failures. If a child is guided and encourage to learn, and praised by people, they develop a sense of pride or industry. But, if a child is not encourage or promote at this stage, a sense of inferiority develops.

Answer:

(a) 42 N

(b)36.7 N

Explanation:

Nomenclature

F= force test line (N)

W : fish weight  (N)

Problem development

(a) Calculating of weight of the heaviest fish that can be pulled up vertically, when the line is reeled in at constant speed

We apply Newton's first law of equlibrio because the system moves at constant speed:

∑Fy =0

F-W= 0

42N -W =0  

W = 42N

(b) Calculating of weight of the heaviest fish that can be pulled up vertically, when the line is reeled with an acceleration whose magnitude is 1.41 m/s²

We apply Newton's second law because the system moves at constant acceleration:

 m= W/g , m= W/9.8 ,  m:fish mass , W: fish weight g:acceleration due to gravity

∑Fy =m*a

m= W/g , m= W/9.8 ,  m:fish mass , W: fish weight g:acceleration due to gravity

F-W= ( W/9.8 )*a

42-W=  ( W/9.8 )*1.41

42= W+0.1439W

42=1.1439W

W= 42/1.1439

W= 36.7  N

When the fishing line is reeled in at constant speed, it can support a fish with a weight of 42.0 N. But when there's an upward acceleration of 1.41 m/s², the line can only support a fish with a weight of about 33.7 N.

The subject in question here relates to the physics topic of forces, specifically concerning gravitational pull and tension. Now, let's address the two cases.

(a) When the fisherman reels in the line at a constant speed, there is no acceleration. Therefore, the tension in the line equals the weight of the fish. If the line can withstand a force of 42.0 N, the maximum weight of a fish that the line can support is the same—42.0 N (remember that weight is a force measured in Newtons [N]).

(b) If the fisherman is reeling in the line with an upward acceleration of 1.41 m/s2, the tension in the line will be the weight of the fish (m*g, where m is the mass of the fish and g is the gravity 9.8 m/s2) plus the result of the mass and acceleration of the fish (m*a). So, the tension T can be expressed as:

T = m*g + m*a

Since the maximum tension that the line can withstand is 42.0 N, we can determine the maximum mass fish that can be caught. Let's let the maximum mass be 'M'.

Therefore:

42.0 N = M * 9.8 m/s2 + M * 1.41 m/s2

After calculating this, you'll find that M ≈ 3.44 kg. However, we require the weight, which can be calculated by multiplying the mass by gravitational pull - hence, ≈ 3.44 kg * 9.8 m/s2 = ≈ 33.7 N.

In conclusion, under constant speed, the fisherman can pull up a fish of approximately 42.0 N, but when accelerating, the bridge fishing line can only support a fish of about 33.7 N without breaking.

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As we have four different equipment then for house hold system we know the default power of all

Coffee maker = 1400 W

Vacuum Cleaner = 700 W

Toaster = 1800 W

Electric Drill = 1000 W

now the energy consumed will be given as

[tex] Energy = Power * time[/tex]

here time is same for all that is for 1 hour we used all components

so here maximum energy will be consumed by the component which will have maximum power

So answer must be Toaster which is having maximum power of 1800 W

psychologist counseling would be the correct answer I believe

Answer:

Clinical psychologist counseling.

Explanation:

Divorce is very difficult time for any family and for the children. Divorcing spouse can be benefited by the psychologist or mental health professional at that difficult time.

It is very helpful for the spouse and children to talk about relations as well as emotions at that time. This will give the person a very effective way to deal up the situation, anger and frustration.

Issac Newton

In the 17th century, Isaac Newton discovered that prisms could disassemble and reassemble white light, and described the phenomenon in his book Opticks. He was the first to use the word spectrum (Latin for "appearance" or "apparition") in this sense in print in 1671 in describing his experiments in optics.

Isaac Newton first discovered that white light is actually a mixture of different colored light rays, together forming the visible spectrum of a rainbow. therefore, option c is correct

The scientist who first discovered that white light is a mixture of a rainbow spectrum of light rays is Isaac Newton. In the seventeenth century, Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. He conducted an experiment in which he allowed sunlight to pass through a small hole and then through a prism. Newton found that sunlight, which looks white to our eyes, is actually made up of a mixture of all the colors of the rainbow.

Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion. This view was later complemented by the wave theory of light when Thomas Young demonstrated the interference patterns, reconciling the particle and wave models of light into a more comprehensive dual theory known as the wave-particle duality.

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The complete Question is given below:

Which scientist first discovered that white light is a mixture of a rainbow spectrum of light rays?

a.James Watt

b.Marie Curie

c.Isaac Newton

d.Benjamin Franklin

e.Galileo Galilei

Answer:

They are driving at the speed of 30 km/h

Explanation:

From the graph it is clear that,

Total distance covered by Ben and Jerry, d = 60 km

The distance of 60 km is covered in 2 hours.

We have to find how fast they drive on their way to the store i.e their speed. We know that,

[tex]speed=\dfrac{distance}{time}[/tex]

[tex]s=\dfrac{60\ km}{2\ h}[/tex]

[tex]s=30\ km/h[/tex]

Hence, the correct option is (B) " 30 km/h ".

Hello!

Second options is correct answer.

Explanation: The charge on a proton is a "positive, and the charge on an electron is negative". Hope this helps! Thank you for posting your question at here on Brainly. -Charlie

here is my answer hope this helps you out allot  UVA radiation is what makes people tan. It penetrates to the lower layers of the epidermis, where they trigger cells called melanocytes

Displacement = distance and direction from start-point to end-point.

That's 10km south.

Velocity = displacement / time

That's 6.67... km/hr south.

a) since force = mass * acceleration  

f= 900 * 0 (because constant speed = 0 acceleration)  

similarly b) f = 0

Answer:

The car travels at twice the velocity of the truck.

Explanation:

As we know that momentum is defined as the product of mass and velocity

so here we know

mass of the car = 900 kg

mass of the truck = 1800 kg

now let say that the speed of car = [tex]v_1[/tex]

speed of truck = [tex]v_2[/tex]

so if the momentum of car and truck is same

[tex]900 v_1 = 1800 v_2[/tex]

[tex]v_1 = 2 v_2[/tex]

so we can say that car will move with double the speed of truck

The golf ball will travel in a straight path unless changed by an external force.

Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Hope you do well:)

A

This is a right triangle with legs 45 and 45 . Calculating the hypotenuse gives the distance from the starting point

let hypotenuse be h, then using Pythagoras' identity

h = √(45² + 45² ) = √4050 = 63.6396.. ≈ 64

If we imagine the rectangular pool to have a length L and a breadth b, the attached figure shows one of the several possible coordinate systems that can be used to locate the position of the girl at any point of time, thus enabling us to describe her motion.

Final answer:

A suitable coordinate system to describe a girl swimming across a rectangular pool is to use the long side as the x-axis and the short side as the y-axis. One can treat the swimmer's path as two-dimensional motion, analyzing her velocities in both x and y directions separately to predict her speed and swimming time.

Explanation:

To describe the motion of a girl swimming across a rectangular pool, we could set up a coordinate system by choosing the long side of the pool as the x-axis and the short side as the y-axis, with the origin (0,0) placed at one corner of the pool. If we observe the motion from above, we can treat the swimmer's path as two-dimensional motion.

In our coordinate system, the swimmer's position (x,y) changes over time as she swims across the pool. Since the pool is a controlled environment with no external forces like wind or currents, we can assume there's no acceleration in the horizontal x-direction (ax = 0). The swimmer might push off from one side of the pool to begin moving, in which case her initial horizontal velocity (Vx) could be constant throughout her swim if she maintains a steady pace.

To analyze the swimmer's motion, we would separately consider her velocity in the x-direction (Vx = v cos θ) and y-direction (Uy = v sin θ), where v is the magnitude of her velocity and θ is its direction relative to the x-axis. By mapping her position over time, we could use kinematic equations to predict her motion, such as her speed and the time taken to swim across the pool.

Answer:

Nitrogen is used to protect steel from water because nitrogen has low reactivity.

Explanation:

Nitrogen is very low reactive element because it forms a gas when triple bond between two Nitrogen atoms. Due to low reactivity of Nitrogen the water does not react with the nitrogen and steel as well. So, for protection of steel Nitrogen is used.

The vector best represents the net force acting on the +4 C charge in the diagram is X. The correct option is B.

A vector is the representation of a physical quantity in magnitude and direction.

A vector incline at an angle in has two components. On in x direction and other is in y direction.

Three charges are located at the vertices of a triangle, as shown.

The vector best represents the net force acting on the +4 C charge in the diagram is X.

Thus, the correct option is B.

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Answer:

Taylor

Explanation:

Taylor found that with either high- or low-intensity light, a typical diffraction pattern was formed. Long exposure times were needed to develop the diffraction bands; one of the exposures needed three months to complete. With a series of photographic plates, he showed that even individual light particles, photons, have wave characteristics.

Answer:

Explanation:

Taylor lol

9.  Force = mass * acceleration.

F = ma

(8) = (1)a

8m/s^2 = a

10.  First solve for the kinetic energy of the vehicle:

Kinetic energy = (1/2)mass * velocity^2

KE = (1/2)(1200)(2)^2

KE = 2400J

Now use this value in the equation for work:

Since the car comes to a halt, the work is equal to the kinetic energy.

Work = Force * Displacement

W = Fd

(2400) = F(0.15)  Remember to convert cm to m

1.6*10^4 N = F

9.

The 1N = 1kg * 1 m/s^2 has no influence on the answer.

F = 8 N

m = 1 kg

a = ??

F = m * a

8N = 1 kg * a

8N/1kg = a

a = 8 m/s^2

10

This is the beginning of a 2 step process. You are back to the basic 4 equations to find the acceleration. Then you can use F = ma

Givens

m = 1200 kg

vi = 2m/s

vf = 0

d = 15 cm = 0.15 m

Formula

F = m*a

vf^2 = vi^2 + 2 * a * d

0 = 2^2 + 2 * a * 0.15,

0 = 4 + 0.3 * a

- 4 = 0.3 * a

- 4 / 0.3 = a

- 13.3333333 = a

F = m * a

F = 1200 * (- 13.3333333)

F = - 16000 N

Comment (Extremely Important)

Why aren't any of the answers minus? It is because the minus represents the amount of force needed to stop the vehicle. But the question asks you about the rock. What is the rock experiencing? The rock is opposing the 0.15 m so the force it offers is in the opposite direction to that exerted by the vehicle.

I think jogging/running/walking because you don't need any equipment and you can structure around it on your own time.

Answer:

I would say walking or running  

Explanation:

Because its simple and you can choose your own pace

Answer: Interneurons.

These interneurons transmit impulses to other neurons and thus form a part of the reflux arc.

Answer:

Option B is the correct answer.

Explanation:

 Velocity of a body = Displacement of the body/Time taken

Displacement and velocity are a vector. Both have direction and magnitude.

Displacement is generally distance with direction.

If we divide distance with time taken we will get speed of the airplane. Speed with direction is called velocity. So we need distance between Houston and Dallas, time taken by plane to travel from Houston to Dallas and direction of displacement from Houston to Dallas.

So we need direction.

Option B is the correct answer.

The box will move 5n left because:

10-5=5

Then, you take the side that has the biggest number. In this case, 10n left > 5n right

As long as the friction force under the box is less than 5N, it'll accelerate to the right.

The answer is:

Both the distance traveled in a given time and the magnitude of the acceleration at a given instant

Hope I Helped!

Both distances in a given time and magnitude of the acceleration at a given instant can be determined from a speed-time graph of a particle traveling in a straight line, therefore the correct option is option D.

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

The area under the speed-time graph represents the distance covered by the object while the slope of the speed-time graph gives the acceleration of the object.

Thus, both distances in a given time and the magnitude of the acceleration at a given instant can be determined from a speed-time graph of a particle traveling in a straight line, therefore the correct option is option D.

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Answer:

Static Equilibrium

Answer:

D. Static equilibrium

Explanation:

The noble gasses, they are the elements on group 18 of the periodic table and do not usually form compounds. The noble gases are as follows: helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), radon (Rn), and oganesson (Og).

Hope this helped :)

The elements that do not ordinarily form compounds are the noble gases. These gases are found in Group 18 of the periodic table and include helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), and radon (Rn).

Noble gases are extremely stable and inert, which means that under typical circumstances, they do not typically combine with other elements to produce compounds.

They are chemically stable because they have an entire outer electron shell. They are less likely to gain, lose, or share electrons with other atoms due to their entire outer electron shells, which is crucial for the formation of compounds.

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Answer:

 Option B

Explanation:

The instantaneous velocity = Change in position/Time taken

The slope of the graph should give instantaneous velocity.

 Slope of a graph = Change in value of Y -axis / Change in values of X -axis

 Comparing both the equations

   Change in value of Y -axis = Change in position

  Change in values of X -axis = Time taken

So position values should be on the Y axis and Time values should be on the X axis.

Distance on the y-axis and time on the x-axis.

So, option B is the correct answer.

Answer:

A

Explanation:

slope is calculated using rise over run

[1] When any body falls under gravity,the body will move in vertical downward direction towards the centre of earth under a constant acceleration called acceleration due to gravity .As per the question, the rock falls to earth.

Hence,the correct option to it is A] It accelerates as it falls.

7] When a body moves with constant speed in a circular path,it's direction changes continuously which leads to an acceleration.

Hence the correct answer to the question is C) A car driving straight along a highway at a constant speed.

8] Speed is a scalar quantity as it has only magnitude while velocity is a vector quantity as it has both magnitude and direction for its specification.

Hence,the correct answer to this question is C) velocity is a vector and requires a direction.

9]A unit of length in the metric system will be metre or its multiples.

Hence,the correct answer to the question is B) kilometer.

10] A car taking a round curve will experience an acceleration called centripetal acceleration which is required to keep the car along the circular curve.

Hence,the correct answer to the question is B) a car that rounds a curve at a constant speed

11]The initial velocity of car is u =0

   The final velocity of car is v= 20 m/s

   The time taken t= 3.5 s

From equation of kinematics we know that-

                                          v=u+at

                                         20=0×t+3.5a

                                          [tex]a=\frac{20}{3.5} m/s^2[/tex]

                                           [tex]a=5.71 m/s^2[/tex]

Hence,the correct answer to the question is B] 5.7.

12] Any body under free fall accelerates with acceleration due to gravity.

Hence,the correct answer to the question is C) gradually more in each picture.

13] Milt moves 100 m homestretch due east and 100 m backstretch due west.

The time taken by him is 12.2 seconds. The homestretch average velocity and backstretch average velocity are anti parallel to each other as they opposite in direction.

Hence the correct answer to the question will be the homestretch and backstretch have velocities with the same in their magnitude.

14]The distance given here is constant for each lap i.e 400 m.

It has been told that he is taking 5 seconds less in each lap.

We know that average speed is the ratio of total distance travelled to total time taken.As time is decreasing in each lap,so its average speed will be more for each lap.

Hence the correct answer to the question is C] increases and inversely.

The difference between speed and velocity is that

A) speed is a vector and requires a direction.  

B) speed is a vector and requires a magnitude.  

C) velocity is a vector and requires a direction.

D) velocity is a vector and requires a magnitude.