A 20kg boy on a 5 kg skateboard coasts to a rest from a speed of 4.5m/s while traveling a distance of 20m on the sidewalk. Draw a free body diagram for this situation and calculate the acceleration of the skateboard, the force of friction on the skate board and the coefficient of friction between the skateboard and the sidewalk.

Answers

Answer 1

Answer:

a = -.51 m/s²

coefficient of friction = .05

fk= 12.25 N

Explanation:

mass = 20 + 5kg

weight = 25kg ·9.8 = 245 N

There are many ways to do this I am sure but I did this:

1.  found a by using vf²=vi²-2aΔx. accel is - because it is slowing down.

started at 4.5 m/s, final = 0 and Δx=20....a=-.51 m/s²

2.  the force acting on the object is the friction force which has to equal the mass(accel).

-fk (going to left on free body diagram) = ma

-mu·n = ma

-mu·245N = 25 (-.51)

mu=.05

fk= .05(245N) = 12.25 N

Answer 2

The kinematics and Newton's second law allow to find the results for the questions of the movement of the child and the skateboard are:

  a) the deceleration is a = 0.51 m / s²

  b) The friction force is: fr = 12.75 N

  c) The friction coefficient is equal to: μ = 0.052

Given parameters

The child's mass M = 20 kg. The mass of the skateboard m = 5 kg. Initial velocity vo = 4.5 m / s. The distance traveled x = 20 m.

To find

    a) Acceleration.

    b) The friction force.

    c) The coefficient of friction.

a) Kinematics studies the movement of bodies, finding relationships between their position, speed and acceleration.

Since the child ends up at rest, his final velocity is zero (v = 0), let's use the relation.

       v² = v₀² - 2 a x

       0 = v₀² - 2ax

       a = [tex]\frac{v_o^2}{2x}[/tex]  

       a = [tex]\frac{4.5^2 }{2 \ 20}[/tex]

       a = 0.51 m / s²

b) Newton's second law states that the net force is proportional to the product of the mass and the acceleration of the body.

A free-body diagram in a diagram of the forces without the details of the body, in the attached we can see the free-body diagram of the system.

Let's write Newton's second law, since the boy and the scooter do not separate, we use the total mass.

 

y-axis

     N-W = 0

     N = W

     N = (M + m) g

     N = (20 +5) 9.8

     N = 245 N

x-axis

     fr = [tex]m_{total} \ a[/tex]  

     Fr = (20+ 5) 0.51

     fr = 12.75 N

c) Friction force is a macroscopic force of the interactions between the two surfaces and has the formula.

       fr = μ N

       μ = [tex]\frac{fr}{N}[/tex]

       μ = 12.75 / 245

       μ = 0.052

In conclusion, using kinematics and Newton's second law we can find the results for the questions of the movement of the boy and the skateboard are:

  a) The deceleration is a = 0.51 m / s²

  b) The friction force is: fr = 12.75 N

  c) The friction coefficient is equal to: μ = 0.052

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A 20kg Boy On A 5 Kg Skateboard Coasts To A Rest From A Speed Of 4.5m/s While Traveling A Distance Of

Related Questions

A truck travelled at a constant speed for 6 hours. Then , it decreased itd speed by 13 mph for the remaining 228 miles. If the total distance was 876 miles, how long did it take to travel the remaining 228 miles

Answers

Answer:

 Time taken to travel remaining 228 miles = 2.4 hours.

Explanation:

Total distance = 876 miles.

Distance traveled after speed reduction = 228 miles

So, distance traveled before = 876 - 228 =648 miles.

Time taken for this = 6 hours.

Speed before speed reduction = 648/6 = 108 mph.

Speed after speed reduction = 108 - 13 = 95 mph

Time taken to travel remaining 228 miles = 228/95 = 2.4 hours.

Answer:

2.4

Explanation:

I just had this question

a car travels at a speed of 20 km/hr for 3 hours. how far does it travel in kilometers

Answers

Formula

d = r * t

Givens

r = 20 km/hourt = 3 hoursd = ??

Solution

d = 20 km/hour * 3 hrd = 60 km the hours cancel out

i did this in class a while ago so you multiply 20 * 3. And you answer is 60.

if you need any more help feel free to message me :)

what are the units for the spring constant,k?

Answers

Answer:

[tex]\frac{kg}{s^2}[/tex] or [tex]\frac{N}{m}[/tex]

Explanation:

The force in a spring is described as (F) = (k) x (d) with (d) being the displacement, measured in meters. (F) is to come out in Newtons. So (k) is assigned the appropriate unit for that to happen. The two possibilities listed above achieve that.


Answer:

The units for the spring constant k is [tex]\frac{kg}{s^2}\ \text{or}\ \frac{N}{m}[/tex].

Explanation:

According to hooks law:

[tex]F=-kx[/tex]

Where F is a force, k is spring constant and x is distance.

Here, the negative sign of the force of the spring, which implies the force of the spring, is opposed to the displacement of the spring.

Now in order to find the units for spring constant k, ignore the negative sign as we are looking only at the magnitude.

[tex]F=kx[/tex]

[tex]\frac{F}{x}=k[/tex]

Therefore,

[tex]\frac{kg}{s^2}\ \text{or}\ \frac{N}{m}[/tex]

Hence, the units for the spring constant k is [tex]\frac{kg}{s^2}\ \text{or}\ \frac{N}{m}[/tex].

a box with a mass of 12.5kg sits on the floor how high would you need to lift it has a GPE of 568j

Answers

GPE=mgh
m= 12.5kg
g= 9.81 always
h=?

568=12.5*9.81*h
Solve for h
You will get 4.63m

A force of 8480 is applied to a car to decelerate it at a rate of 32.0 m s squared. What is the mass of the car?

Answers

Given data

Force (F) = 8480 N,

acceleration (a) = -32 m/s² ,

mass of the car (m) = ?

We know that, from Newtons II law,

                                   F = m.a

                                    => m = F ÷ a ,

                                              = 8480 ÷ (-32)

                                              = 265 Kg (Neglect negetive sign)

Mass of the car is 265 Kg


a geostationary satellite has a orbital radius of 4.23*10.7m.
a).calculate it’s speed in orbit

Answers

Answer ;

Note : Satellite completes  one orbit in the same time the earth rotates one about its axis

circumference of the orbit = 2 ×π × 4.23×10⁷  (similar to the earth orbital speed

The time of earth/orbit traveled  = 23.93 hrs ,

Speed of the orbit = (distance) ÷ (time)

                              = circumference ÷ time

                              = (2 ×π × 4.23×10⁷) ÷ 23.93   (1 hr = 3600 sec.)

                              = 3085.14 m/s

The orbital velocity is 3085.14 m/s



When light passes straight through an object it is called

Answers

I believe the answer is transmission

Final answer:

When light passes straight through an object, it's called transmission. This occurs within the field of geometric optics, where light paths are modeled as straight lines or rays. These rays can change direction, or refract, when they interact with different materials.

Explanation:

When light passes straight through an object, it is called transmission. This is a part of the field known as geometric optics, which describes the path of light using geometry and simple trigonometry. In this field, light is modelled as straight lines, also known as rays, which may change direction when they interact with objects or transition between different media, a phenomenon known as refraction.

The laws that govern these changes in direction are the law of reflection, where light bounces off an object, and the law of refraction, where light passes through an object.

Transmission, the process in which light travels without being absorbed or reflected, is fundamental in optics. You might visualize the path of light as observable in laser beams, which is especially clear in a straight, unobstructed path.

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Suppose you are pushing a car with a certain net force. If you then push it twice the net force, the car's acceleration

A. becomes four times as much.
B. becomes two times as much.
C. stays the same.
D. becomes half as much.

Answers

From my calculations The answer is B

The answer is it becomes two times as much

how much work is done if an object moves 4.5 m in has 12 Newtons of force acting on it

Answers

Given Data:

Displacement of objects (s) = 4.5m,

Force applied (F) = 12 N,

Work done (W)=?

Work is defined as an effort done in order to achieve the result. In this case an effort done to move the object to certain distance.

Mathematically,  From Joules law, W =  Force  × displacement

                                                         W = 12×4.5

                                                             = 54 J

how is high temperature achieved by concave mirror?

Answers


A concave mirror is used in the design of solar furnaces because they converge the parallel sunrays at a point. This helps to increase the temperature of the furnace.

Answer:

Because "a concave mirror converge the parallel sun rays at a point, so high temperature is achieved"

Example:

           It is used in the design of solar furnaces, because they converge the parallel sun rays at a point. This helps to increase the temperature of the furnace.

A frame hanging on a wall is held by two cables. The tension in each cable is 30 N, and the cables make an angle of 45° with the horizontal, as shown in the picture. What is the weight of the frame?
A) 10.2 N
B) 21.2 N
C) 32.4 N
D) 42.4 N

Answers

Answer: This is wrong The correct answer is 42.4 N

Explanation: I took the USA TESTPREP

Final answer:

OPTION D. The weight of the frame is determined by the upward force the two cables exert to keep it in equilibrium. Each cable exerts a vertical force of 21.2 N, totaling to 42.4 N. Thereby, the weight of the frame is 42.4 N.

Explanation:

This problem can be solved using the principle of forces in equilibrium. If the frame is at rest and not falling, the resultant force is zero, meaning the upward forces equal the downward forces. The tension force in the cable has components parallel and perpendicular to the direction of gravity. We only need to consider the vertical component as that is the direction of the weight of the frame.

The vertical component of the tension in one cable is given by Tsinθ = 30N * sin(45°) = 21.2 N. Since there are two cables, the total upward force is 2 * 21.2 N = 42.4 N. This equals the downward force, i.e. the weight of the frame, which is therefore 42.4 N. So, the correct answer is D).

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A 0.14-kg pinecone is 16m above the ground. What is it’s gravitational potential energy

Answers

Given that:

mas (m) = 0.14 Kg ,

height (h) = 16 m,

     Determine gravitational potential energy ?

      Gravitational potential energy = m × g × h

                                                         = 0.14 × 9.81 × 16

                                                         = 21.97 Joules

Object A has of mass 7.20 kilograms, and object B has a mass of 5.75 kilograms. The two objects move along a straight line toward each other with velocities +2.00 meters/second and -1.30 meters/second respectively. What is the total kinetic energy of the objects after the collision, if the collision is perfectly elastic?


A.
19.3 joules
B.
21.9 joules
C.
38.5 joules
D.
43.0 joules
E.
50.8 joules

Answers

Answer:

A.   19.3 joules

Explanation:

The collisions is perfectly elastic: this means that both total momentum and total kinetic energy are conserved after the collision.

Therefore, we can just calculate the total initial kinetic energy before the collision, and then say that it is equal to the total kinetic energy after the collision.

The kinetic energy of object A is:

[tex]K_A = \frac{1}{2}m_A v_A^2=\frac{1}{2}(7.2 kg)(+2.0 m/s)^2=14.4 J[/tex]

The kinetic energy of object B is:

[tex]K_B = \frac{1}{2}m_B v_B^2=\frac{1}{2}(5.75 kg)(-1.3 m/s)^2=4.9 J[/tex]

So, the total kinetic energy before (and after) the collision is

[tex]K=K_A + K_B=14.4 J+4.9 J=19.3 J[/tex]

CAN SOMEONE PLEASE HELP ME WITH MY PHYSICS QUESTIONS? I NEED CORRECT ANSWERS ONLY

Consider a situation where you are playing air hockey with a friend. The table shoots small streams of air upward to keep the puck afloat and to minimize friction. When you barely tap the puck forward, it

A. slows and stops.

B. moves with a constant speed until hitting the other end.

C. moves backward with an equal and opposite velocity.

D. continues to accelerate.

Answers

The answer is B. The answer is B

How do you know that potassium an alkali metal is highly reactive

Answers

Potassium is in the most reactive group of elements, the alkali metals, but it's not the most reactive metal within the group. The alkali metals, Group 1A, are the most reactive metals because they have one valence or outer electron. They lose this electron very easily, forming ions with a charge of +1.

Potassium is known as a highly reactive alkali metal due to its small ionization energy that facilitates the loss of its valence electron to form K+ ions. Its extreme reactivity is also demonstrated when it reacts with oxygen, water, and halogens, often requiring it to be stored under oil to prevent accidental reactions with air or moisture.

We know that potassium is a highly reactive alkali metal due to several characteristics. One of the key reasons for its reactivity is its small ionization energy, which makes it easier for potassium to lose its single outer-shell electron and form [tex]K^+[/tex] ions. This low ionization energy is common among alkali metals, and it allows them to form monocations easily.

Potassium's reactivity is also evident as it must be stored under oil to prevent it from reacting with air. When potassium does react with air, especially oxygen, it can cause a combination reaction that is highly exothermic. A balanced chemical equation representing this reaction with oxygen is [tex]4K + O_2 \rightarrow 2K_2O[/tex].

Furthermore, the reactivity of potassium can be seen when it is placed in water. The reaction is intense enough to produce hydrogen gas and heat, with heavier alkali metals reacting even more violently. The typical reaction with water is shown by the equation [tex]2K + 2H_2O \rightarrow 2KOH + H_2[/tex]. Finally, potassium's reactivity is demonstrated in its reactions with halogens, which are typically very exothermic and even violent.

if an object is moving at a constant speed, the forces acting on it must be ___. Another way to say this is that the net force = __.

Answers

Answer :   Equal,        Zero

If the object is moving at constant speed, it is under "equilibrium". So, forces acting on object are equal and the net force is zero.

A baseball with a mass of 0.15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8.0 × 10-3 seconds. The ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?

Answers

Answer: 1687.5 N

Explanation:

From the second law of motion given by Newton, Force is the rate change of momentum.

[tex]F = \frac{dp}{dt}=\frac {m dv}{dt} = \frac{m (v_f-v_i)}{dt}[/tex]

Mass of the baseball, m = 0.15 kg

Initial velocity, [tex]v_i=-40 m/s[/tex] (negative because direction of initial velocity is opposite to the final velocity)

Final velocity, [tex]v_f=50 m/s[/tex]

The duration of collision, [tex]dt= 8.0 \times 10^{-3} s[/tex]

Force, [tex] F = \frac{0.15 kg (50-(-40) m/s)}{8.0 \times 10^{-3} s}=1687.5 N[/tex]

Hence, the value of force is 1687.5 N.

Answer:

Not sure but dont choose C .

1.3×10^3 Newtons

Explanation:

I cant find the answer anywhere but its not C so at least that gets rid of one of the options <3 (its probably not A either bc i feel like thats the closest to the other guys answer and it was rated poorly but choose at ur own risk)

Based on the graph, how would you describe the motion of the object?

Answers

Answer: positive velocity, zero acceleration

Explanation: took that on the test

Which of the following situations demonstrates balanced forces? A. a child on a moving seesaw B. a car driving on a straight freeway at 60 miles per hour C. a clock's pendulum in motion D. a rock thrown upward, being acted on by gravity

Answers

Answer: option B. a car driving on a straight freeway at 60 miles.

Explanation:

A balance forces are said to act on an object when net force on an object is zero and the object is either at rest or moves with constant speed without changing direction.

In option A, C, and D the objects are changing direction during their motion. In option B, a car moves on a straight freeway in a single direction at constant speed of 60 miles per hour. Hence, the correct demonstration of balanced forces is by option B.

the answer is the car on the highway of your doing study island

What is noetic science?

Answers

inner wisdom or direct knowing,or subjective to something known as understand devolved by the philosopher William James in 1902
Final answer:

Noetic science is an interdisciplinary field that aims to understand consciousness and the human mind. It stems from the Greek word 'noesis' which means inner wisdom, direct knowing, or subjective understanding. It shares some principles with physics, particularly quantum physics, but also extends beyond traditional physics to explore consciousness and subjective experiences.

Explanation:

Noetic science, which also aligns with concepts in cognitive science, is an interdisciplinary field that seeks to understand the nature of consciousness and the human mind. It looks into the capabilities of the mind beyond the physical realm and tries to understand phenomena like cognition and intuition.

The terms noetic science comes from the Greek word "noesis" which means inner wisdom, direct knowing, or subjective understanding. In essence, it is about investigating the nature of consciousness, going a step beyond the traditional physical sciences.

It explores the idea that consciousness isn't solely a product of the brain and attempts to bridge the gap between the objective sciences and the inner subjective experience. This would indeed fall under the wider umbrella of physics as it deals with aspects of energy and matter.

It shares some principles with physics, specifically quantum physics, in the sense that it investigates the fundamental nature of the universe and the interactions of energy and matter. However, it extends these investigations to encompass consciousness and subjective experiences which are more difficult to quantify and measure.

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In a cricket match, the 0.16kg ball is bowled with a straight arm. During one particular delivery, the ball leaves the bowler's hand horizontally, with a speed relative to the ground of 80.8 mph. The bowler's arm is 0.64 m long and the bowler is running at 10.0 mph when the ball is released.

Calculate the centripetal force exerted on the ball in the bowler's hand, in N.

Note: 1 mph = 0.447 ms^-1.

Answers

Answer:

412.1 N

Explanation:

First of all let's calculate the total speed of the ball as it is released, which is equal to the speed of the ball + the speed of the bowler:

[tex]v=80.8 mph +10.0 mph=90.8 mph[/tex]

Now let's convert it into m/s. We know that

[tex]1 mph = 0.447 m/s[/tex]

So

[tex]1 mph:0.447 m/s = 90.8 mph:v\\v=\frac{(0.447 m/s)(90.8 mph)}{1 mph}=40.6 m/s[/tex]

And now we can calculate the centripetal force, which is given by:

[tex]F=m\frac{v^2}{r}[/tex]

where

m = 0.16 kg is the mass of the ball

v = 40.6 m/s is the speed of the ball

r = 0.64 m is the radius of the circular path (equal to the length of the bowler's arm)

Substituting:

[tex]F=(0.16 kg)\frac{(40.6 m/s)^2}{0.64 m}=412.1 N[/tex]

an airplane travels at a speed of 90 m/s for 30 minutes. how far does it travel?

Answers

since its a 90 meters a second you multiply by 60 to get meters per minute

90×60=5,400 meters a minute

then multiply that by 30 since you want to know how far it travels in 30 min

so its

5,400×30=162,000 meters traveled

WILL NAME BRAINLIEST !!
A crane has a large brick attached to its hook. Two forces are acting on the brick, as shown below.



Which of the following statements is true?

A.

The forces acting on the brick are balanced.

B.

An unbalanced force is acting on the brick.

C.

The brick is at rest.

D.

A net force of 5 newtons is pulling the brick upward.

Answers

the answer is a unbalanced force is acting on the brick

Answer:

B). An unbalanced force is acting on the brick.

Explanation:

Here as we can see the given figure there are two forces acting on the block

1. [tex]F_1 = 7,205 N[/tex] Upwards

2. [tex]F_2 = 7,210 N[/tex] Downwards

so here as we can see that force downwards is more in magnitude while upward force is less.

So here since downward force is more so the box will accelerate downwards and net force is given as

[tex]F_{net} = F_2 - F_1[/tex]

[tex]F_{net} = 7210 - 7205 = 5 N[/tex]

so here net force on this box is 5 N downwards and since there is unbalanced force on the box so box can not remains at rest.

Which of these is a risk associated with texting?

Answers

Can you provide the answers please :)

If an object weighs 300 N on earth, what is it’s mass on the moon?

Answers

Answer:

The mass of the object on the Moon (and anywhere else) is about 30.61kg. Please see more detail below.

Explanation:

Weight is the gravitational force exerted on the object and is a function of mass and gravitational acceleration:

(weight) = (mass) x (gravitational acceleration)

We are to find the mass, knowing the weight on Earth to be 300N:

(mass) = (weight on Earth) / (gravitational acceleration on Earth) = 300N / 9.8 m/s^2 = 30.61 kg

The mass of the object is 30.61kg.

The mass of the object is independent of gravity. Therefore the answer to the question "What is its mass on the Moon" is 30.61kg.

If the question were what is its weight on the Moon, the answer would be

(weight on Moon) = (mass) x (grav.accel. on Moon) = 30.61kg x 1.62 m/s^2 = 49.59N

which is about 1/6 of the object's weight on the Earth.

Why is Pluto eliminated from the solar system?

Answers

Answer:

Pluto was not considered a planet because of how small it was, therefore Pluto was removed from the solar system.

In August 2006 the International Astronomical Union (IAU) downgraded the status of Pluto to that of "dwarf planet." This means that from now on only the rocky worlds of the inner Solar System and the gas giants of the outer system will be designated as planets.

Very light items remain on the surface of water because of surface currents.

True or false

Answers

False.

This is the principle of Archimedes: A body introduced into a liquid is pushed from the bottom up with a force equal to the weight of the liquid displaced by the body.

the correct answer is false

2350m = is how many kilameters

Answers

Answer:

2.35 killometers

Explanation:

the force needed to lift a 3000 N truck using a jack with a MA of 15

Answers

As we know that mechanical advantage is defined as

[tex]MA = \frac{F_o}{F_{in}}[/tex]

now here we have

[tex]MA = 15[/tex]

also we have

[tex]F_O = 3000 N[/tex]

now we will have

[tex]15 = \frac{3000}{F_{in}}[/tex]

now we will have

[tex]F_{in} = \frac{3000}{15}[/tex]

[tex]F_{in} = 200 N[/tex]

so our applied force will be 200 N

A 70 kg man is walking at a speed of 2 m/s. What is his Kinetic Energy?

Answers

Kinetic energy = 1/2 (mass) (speed squared)

KE = 1/2 (70kg) (2m/s)^2

KE = (35 kg) (4 m^2/s^2)

KE = (140) kg-m^2/s^2

That's 140 Newton-meter

or

140 Joules

The kinetic energy is 140 joules

The parameters given in the question are

mass= 70 kg

velocity= 2m/s

Kinetic energy= 1/2mv²

= 1/2 × 70 × 2²

= 0.5 × 70 × 4

= 140 joules

Hence the kinetic energy is 140 joules

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