13 A lawn-mower is pushed with a force of 50 N.
If the angle between the handle of the mower
and the ground is 30°,
(i) Calculate the magnitude of the force that
is pressing the lawn-mower directly into
the ground.
(ii) Calculate the magnitude of the effective
force that moves the mower forward.
(iii) Why does the lawn-mower move forward
and not downward into the ground?​

Answers

Answer 1

Answer:

13. (i) The magnitude of the force that is pressing the lawn-mower directly into the ground is 25 N

(ii) The magnitude of the effective force that moves the mower forward is approximately 43.3 N

(iii) Because there are no net downward force acting on the lawn-mower

Explanation:

13. The given force pushing the lawn-mower = 50 N

The angle at which the force acts = 30° to the ground

The component of the pushing force are;

(i) The magnitude of the force that is pressing the lawn-mower directly into the ground = The vertical component of the pushing force

The vertical component of the pushing force, [tex]F_y[/tex] = 50 N × sin(30°) = 25 N

∴ The magnitude of the force that is pressing the lawn-mower directly into the ground = [tex]F_y[/tex]  = 25 N

(ii) The magnitude of the effective force that moves the mower forward = The horizontal component of the pushing force

The horizontal component of the pushing force, Fₓ = 50 N × cos(30°) = 25·√3 N ≈ 43.3 N

∴ The magnitude of the effective force that moves the mower forward = 25·√3 N  ≈ 43.3 N

(iii) The lawn mower moves forward and not downwards because according to Newton's first Law of motion, the lawn-mower moves forward because it is being acted on by a net forward directed horizontal force

However, according to Newton's third law, the reaction of the ground is equal to the weight of the lawn mower, therefore, there are no net vertical force acting on the lawn-mower, such that the lawn-mower remains in the initial horizontal level and does not move downward into the ground.


Related Questions

When we say the energy in a system remains "constant" what we really
mean is...
1 point
the total amount of energy goes up
the total amount of energy remains the same
the total amount of energy goes down
the speed remains the same
of the following is NOT a form of energy?

Answers

The total amount of energy remains the same.

A 1 kg block with initial velocity 4 m/s collides elastically with a stationary 2 kg block. After the collision, the 1 kg block has a velocity of -1.33 m/s. Determine the speed of the 2 kg block after the collision.

Answers

Answer:

  v₂ = 2,665 m / s

Explanation:

This is an exercise of conservation of the momentum, we define a system formed by the two cars, so that the forces during the collision are internal and the moment is conserved.

Initial instant. Before the crash

           p₀ = m v_o

Final moment. Right after the crash

           p_f = m v₁ + M v₂

where the first car uses subscript 1 and has a mass m = 1 kg and the second car uses the subscript 2 with a mass M = 2kg

how the moment is preserved

        p₀ = p_f

         m v_o = m v₁ + M v₂

They indicate that the collision is elastic, therefore the kinetic energy is conserved, the velocity of the first car is v1 = -1.33 me / S

     

         v₂ = [tex]\frac{ m ( v_o - v_1)}{M}[/tex]

we calculate

        v₂ = [tex]\frac{ 1 ( 4 + 1.33)}{2}[/tex]

        v₂ = 2,665 m / s

Calculate the force of gravity between two protons located 1m apart 1.7x10-27kg charge of proton is +1.6x10-19c

Answers

Answer:

87, not very hard but u have to keep trying ❤❤❤❤❤❤❤

List some benefits of Cardiovascular exercise:

Answers

Answer:

Aerobic exercise reduces the risk of many conditions, including obesity, heart disease, high blood pressure, type 2 diabetes, metabolic syndrome, stroke and certain types of cancer. Weight-bearing aerobic exercises, such as walking, help decrease the risk of osteoporosis.

Answer:

reduced heart attack chance

Explanation:

cholestrol buildups get destroyed by high pressure blood

uwu

PLEASE HELP ME! do tectonic plates play a major or minor role in the ROCK CYCLE ​

Answers

Answer: All igneous rocks the basis of the rock cycle is formed by plate tectonics. ... This movement from igneous to sedimentary back to igneous is a major part of the rock cycle. The heat from the mantle that fuels plate tectonics causes both igneous and sedimentary rocks to be turned into metamorphic rocks.

Explanation: BRAINLEST?

A 1000kg truck is moving at a velocity of 4m/s what is it's momentum?

Answers

Answer:

4000 kg m/s

Explanation:

p=mv

p = momentum in kg m/sm = mass in kgv = velocity in m/s

substitute values into the formula above to get:

p=1000x4

p=4000 kg m/s

1. When is the object in motion?​

Answers

Answer:

An object is in motion when its distantance from another object is changing

Answer:

when an object is moving..

Explanation:

mark me as brainlist

9. In a closed circuit made of a battery, a wire, a lightbulb, and a switch which part's main responsibility is allowing electricity to flow over a distance?
A: battery
B: light bulb
C: switch
D: wire

Answers

Answer:

d

Explanation:

Answer:

D: wire

Explanation:

do dendrites take in information while the axon takes information away from the cell body

Answers

Answer:

Yes

Explanation:

Dendrites bring electrical signals to the cell body and axons take information away from the cell body.

What type of wave interaction causes dead spots?

Refraction

Reflection

Constructive Interference

Destructive interference

Answers

destructive interference

Can sombody help me out real quick?
Dogs can hear sounds that we can't. Research dogs and find out what frequencies they can hear. Write down what you find out. Using what you just learned, write a short story on what it might be like to be a dog. Include a description of what you might hear and how it might affect you if you were a dog. Your story can be fictional or nonfictional - it can be whatever you want it to be! Take some time to listen to sounds in your environment. Make a list of ten sounds, ranking them from the highest pitch to the lowest. Write a couple of sentences describing whether this was easy or difficult and why.

Answers

Answer:

I did this essay before, its not hard. Just read through it carefully and you'll figure it out. or just ask you mom, dad, guardian, or teacher for help

The human ear can hear the frequency range of 20 Hz to 20 kHz and dogs can hear up to the range of 40Hz up to 50,000Hz or even 60,000Hz. Compared to humans, dogs have a significantly wider range of hearing.

What is sound?

Sound is a mechanical disturbance that travels through an elastic medium and disrupts an equilibrium condition. It is also feasible to define sound solely subjectively, as that which is perceived by the ear.

Although this definition lacks clarity and is overly pedantic because it is necessary to discuss noises that cannot be heard by the human ear, such as those made by dog whistles or sonar devices.

Given:

Dogs can hear sounds that we can't,

While small toddlers can hear noises exceeding 20,000 Hertz (Hz), the average adult cannot. (The frequency of a sound is measured in Hertz, and the greater the frequency, the higher pitched the sound.) Dogs, on the other hand, are capable of hearing frequencies between 40Hz up to 50,000Hz or even 60,000Hz.

To know more about sound:

brainly.com/question/29707602

#SPJ2

What is elastic potential energy and give and a example

Answers

Answer:

Many objects are designed specifically to store elastic potential energy, for example: The coil spring of a wind-up clock. An archer's stretched bow. A bent diving board, just before a divers jump

Explanation:

Answer:

Elastic Potential Energy is stored in elastic items.

A example of Elastic Potential Energy is a rubber band. When you stretch it, and it shoots off your finger. Where the rubber band gives off Elastic Potential Energy, is when you stretch it on your fingers, before you let it go.

DESPERATE WILL GIVE BRAINLIST AND THANKS (PLZ HURRY)
Which statement is FALSE about Redi & Pasteur’s experiments?

Redi’s independent variable was jar coverings.


Pasteur’s independent variable was boiled broth.


Pasteur’s dependent variable was the growth of microbes (bacteria).


Both experiments were conducted gather evidence to disprove spontaneous generation.

Answers

Answer:

B

Explanation:

Its not litteral

WHAT ARE THE RISK OF BLADED TOOLS​

Answers

Answer: Cuts and Scrapes

Explanation:

If something happens you could be hospitalized. You could get an amputation

A car of mass 150 kg is riding down at constant velocity What is the friction force?

Answers

Answer:

I think it's b

Explanation:

friction is the opposite direction of the object do it's definitely left something

* why does one prefesumbrella
even in summer.

Answers

Answer:

black umbrella provides a better shade

Explanation:

This is because a black umbrella provides a better shade than a white umbrella . Absorption of more light energy from the sun by the black umbrella does not matter because our body is not in touch with the umbrella .

You have a working electrical series circuit with three light bulbs, then 1 bulb burns out. Describe how electric current flows through the series circuit after 1 of the 3 bulbs burns out?

Answers

Answer:

NARUTO IS A DIME GOD

Explanation:

Help, please!!!!!
I just need help putting the vocab word in the box where it belongs.

Answers

here's the first part but for the 2nd one all I know is that the word "compression" goes on the spirals that are closer together.

hope this helps!

How does kinetic energy change if you double the steed?

Answers

The kinetic energy is proportional to the square of the speed, so doubling the speed increases the kinetic energy by a factor of 4.

PLS HELP!!! Response: Develop a unique example (not posted on the discussion board by anyone else) and calculate the resultant displacement between two points when there are two legs or distinct parts to the trip. Include the displacement of each leg of the trip as well as the resultant displacement of the entire trip. Don't forget: include both the direction and the magnitude as part of the displacement. Research the actual distance between these two points on the globe. Compare the resultant displacements and account for the error. Don't forget: include both the direction and the magnitude as part of the displacement.

Answers

Answer:

he is the first person can be 3in and a 6man is the best not a man of the hartford

helppppppppppppppppppppppppppppppppppppppppppppppp
Which model of the solar system is shown here?
O O
A. The heliocentric model B. The spherical model
O
C. The geocentric model
O
D. The universal model

Answers

Answer:

A

My logic:

Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the Universe.

Hope this helps!

What is the charge on an object that experiences a force of 5 Newtons in an electric field of 50 Newtons per coulomb?

Answers

Answer:

Explanation:

F = qE

F is the force in Newtons

q is the test charge

E is the electrical field produced by the source charge

[tex]5=q(50)\\q=1*10^-^1Coulombs[/tex]

The magnitude of charge on the object is of 0.1 C.

Given Data:

The magnitude of electric field is, E = 50 N/C.

The magnitude of Electric force is, F = 5 N.

The region where any particle feels the effect of electric force on itself, due to other charged entities, is known as Electric field. And the relation between the electric force and electric field is given as,

F = E × q

Here,

q is the magnitude of charge on the object.

Solving as,

q = F/E

q = 5 / 50

q = 0.1 C

Thus, we can conclude that the magnitude of charge on the object is of 0.1 C.

Learn more about the electric field here:

https://brainly.com/question/8971780

which system of units is used by only a small number of countries in the world, including the u.s

Answers

Answer:

imperial system

Explanation:

Answer:

british system

Explanation:

A P E X

I AM TIMED !! 30 POINTS Which is the smallest possible particle of an element?
O molecule
O atom
O compound
O matter

Answers

Answer:

atoms

Explanation:

they are the smallest

The correct answer is Atoms!

What is the frequency of a wave with a wavelength of 12 meters and a velocity of 4 m/s?

Answers

Answer:

0.33 hz

Explanation:

the formula for the frequency in this situation is f=v/wavelength

Given that the frequency of an Em wave is 4THz, what is its wavelength? a) 75,000um b) 75,000nm c) 75,000pm d) 75,000A

Answers

Answer:

λ = 75 µm, correct is A

Explanation:

In waves, speed is related to wavelength and frequency

          c = λ f

          λ = c / f

in this exercise indicate the frequency of rationality

          f = 4 THz = 4 10¹² Hz

let's calculate

        λ = 3 10⁸/4 10¹²

        λ = 7.5 10⁻⁵ m = 75 10⁻⁶ m

        λ = 75 µm

5 points
What did Alfred Wegener think happens during Continental Drift?

A. Continents move

B. The mantle warms

C. Convection Stops

D. Continents freeze

Answers

Answer:

Continents move

Explanation:

What is the length of decay of carbon-14?

a.

A couple days

b.

A couple hours

c.

A couple seconds

d.

A few thousand years

Answers

Answer:

My answer will be (D) . A few thousand years

Explanation:

Carbon-14 is a radioactive isotope of carbon, containing 6 protons and 8 neutrons, that is present in the earth's atmosphere in extremely low concentrations.2

It is naturally produced in the atmosphere by cosmic rays (and also artificially by nuclear weapons), and continually decays via nuclear processes into stable nitrogen atoms.

Suppose we have a sample of a substance containing some carbon-14. Let m be the mass of carbon-14 in nanograms after t years. 3

It turns out that, if the sample is isolated, then m and t approximately 4 satisfy the differential equation

dmdt=−0.000121m.

Suppose our sample initially contains 100 nanograms of carbon-14. Let's investigate what happens to the sample over time.

First, we can solve the differential equation. Since m has a continuous decay rate of −0.000121, a general solution to the differential equation is

m(t)=Ce−0.000121t,

where C is a constant. Substituting the initial condition t=0, m=100 gives C=100, so

m(t)=100e−0.000121t.

With this formula, we can calculate the amount m of carbon-14 over the years.

Mass of carbon-14 in sample

t (years) m (ng to 4 decimal places)

0 100.0000

100 98.7973

1000 88.6034

2000 78.5056

5000 54.6074

10 000 29.8197

20 000 8.8922

Every year, the mass m of carbon-14 is multiplied by e−0.000121≈0.999879. After 100 years, 98.7973 nanograms still remain. After 1000 years, we still have 88.6034 nanograms. But after 5000 years, however, almost half of the carbon-14 has decayed.

Graph showing the decay of 100 nanograms of Carbon-14.

Detailed description

half-life of carbon-14  

Example

How long does it take for precisely half of the carbon-14 in the sample to decay; that is, when does m=50? Give the answer to three significant figures.

Solution

The mass of carbon-14 in our sample is given by

m(t)=100e−0.000121t.

So we solve 50=100e−0.000121t, which gives e−0.000121t=12. Hence,

t=loge12−0.000121≈5730 years (to three significant figures).

The time period calculated in this example is called the half-life of carbon-14. In fact over any period of 5730 years, the amount of carbon-14 in an isolated sample will decay by half. This fact is used in radiocarbon dating to determine the age of fossils up to 60 000 years old. Roughly speaking, while an organism is alive, its interactions with its environment maintain a constant ratio of carbon-14 to carbon-12 in the organism; but after it dies, the carbon-14 is no longer replenished, and the ratio of carbon-14 to carbon-12 decays in a predictable way. (See Wikipedia Open new window for more on radiocarbon dating.)

Exercise 1

Explain why the mass of carbon-14 in the sample is given (approximately) by

m(t)=100(12)t5730,

and hence explain why the amount of carbon-14 in the sample decays by half over any period of 5730 years.

Half-life in general

In general, whenever a quantity x(t) obeys an exponential decay equation

x(t)=Cekt,

where the continuous decay rate k is negative, then the quantity x has a half-life T. After any time period of length T, the quantity x decreases by half. Let us see why.

As k is negative, the factor ekt decreases from 1 (at t=0) towards 0 (as t approaches ∞). Therefore there is a time t=T such that

ekT=12.

We now solve for T and obtain

kT=loge12=−loge2,

so

T=−1kloge2.

This T is the half-life. From time t=0 to time t=T, the factor ekt decreases from e0=1 to ekT=12, that is, decreases by half. Similarly, over any time period of length T, the term ekt decreases by half. 5

Note that, when k=−0.000121, we obtain T=5730, in agreement with our calculation for carbon-14.

Hope this work

If I'm wrong I'm sorry

If I'm right thank you (brainliest plz )

the answer is D a few thousand years!!!!

how high is the pole from which the lamp fell freely if it hits the ground at a speed of 15 m/s​

Answers

Answer & Explanation:

The acceleration due to gravity is about 10 m/s^2.

That means a the speed of a falling object will increase by 10 m/s every second that it falls.

We know that the lamp hits the ground at 15 m/s.

That means the lamp has been falling for

[tex]\frac{15 m/s}{10 m/s^{2} } = 1.5 s[/tex]

Now we use the formula  [tex]h = \frac{1}{2} gt^{2}[/tex]  to calculate the height, where

h is the height

g is the acceleration due to gravity and

t is the time taken to fall a height of h.

h = 1/2 x 10 x 1.5^2 = 11.25 m



Hurry pls I need help

Answers

Answer:

away from each other

Explanation:

Thus, two negative charges repel one another, while a positive charge attracts a negative charge. The attraction or repulsion acts along the line between the two charges. The size of the force varies inversely as the square of the distance between the two charges.

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