A 74.2 kg teenager slides down a frictionless slide that has an angle of inclination of 38˚. What is the magnitude of the acceleration of the teenager down the slide?

Answers

Answer 1

Answer:

Explanation:

This is one-dimensional motion on an incline which makes it so much more funner :/

The equation for this is

w*sinθ - f = ma which is just a fancy version of Newton's second law that says that the sum of the forces acting on an object are equal to that object's mass times its acceleration.

w is the weight of the teen which is also the normal force, [tex]F_n[/tex]. Therefore,

[tex]w=F_n=mg[/tex] where m is mass and g is gravity:

[tex]w=F_n=(74.2)(9.8)[/tex] and we need 2 sig figs for this since there are 2 in 9.8:

w = 730N

Since there is no friction in this problem, the value for f, frictional force, is 0, making our job a bit shorter. Filling in the main equation:

730sin38 - 0 = 74.2a

Since the left side is subtraction and we will eventually have to divide, and the rules for subtraction/addition are different from those for multiplication/division, we will have to subtract first, get the correct number of sig figs for that difference, and then divide, following the rules for division.

730sin38 will have 2 sig figs which is 450. Now

450 - 0 = 74.2a and

450 = 74.2a and divide to 2 sig figs:

a = 6.1 m/s/s


Related Questions

Particles q1, 92, and q3 are in a straight line.
Particles q1 = -5.00 x 10-6 0,92 = -5.00 x 10-6 C,
and q3 = -5.00 x 10-6 C. Particles qı and q2 are
separated by 0.500 m. Particles q2 and q3 are
separated by 0.500 m. What is net force on q3?

Answers

Answer:

1.12

Explanation:

it is correct on Acellus

The total force on charge q(3) is 1125 x [tex]10^{-3}[/tex] Newton

We have three charges in a straight line.

We have to find the force on charge q3 due to charge q1 and q2.

State Coulomb's law.

The force between two point charges is directly proportional to the product of the magnitude of two point charges and inversely proportional to the square of the distance between them. Mathematically-

[tex]F = \frac{1}{4\pi\epsilon_{o}}{\frac{qQ}{r^{2} } } }[/tex]

We have -

[tex]q_{1} =q_{2} =q_{3} = -5 \times 10^{-6} C[/tex]

The distance between -

[tex]q_{1}\;and\;q_{2} = q_{2} \;and\;q{3}[/tex] = 0.5 m

Now, Force on charge q(3) due to charge q(1) -

F(1 → 3) = [tex]\frac{1}{4\pi\epsilon_{o}}{\frac{5\times 10^{-6} \times 5\times 10^{-6} }{1^{2} } } } = 9\times 10^{9} \times 25 \times 10^{-12} = 225\times 10^{-3}[/tex] N (repelling force)

Force on charge q(3) due to charge q(2) can be calculate similarly as -

F(2 → 3) = 900 x [tex]10^{-3}[/tex] N(repelling force)

Now, both the forces are in same direction, so we can add them algebraically -

[tex]F_{net}[/tex] = F(1 → 3) + F(2 → 3) = 1125 x [tex]10^{-3}[/tex] N

Hence, the total force on charge q(3) is 1125 x [tex]10^{-3}[/tex] Newton

Hence, the wavelength of light in nano meters is 0.0177 x   nm.

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A 1,000 kg ball traveling at 5 m/s would have kinetic energy. A 10 kg ball traveling at 5 m/s would have kinetic energy. A 100 kg person falling at 5 m/s would have kinetic energy.

Answers

Question : 1

mass (m) = 1000 kgvelocity (v) = 5 m/s

=》

[tex]k.e = \dfrac{1}{2}mv {}^{2} [/tex]

=》

[tex]k.e = \dfrac{1}{2} \times 1000 \times (5) {}^{2} [/tex]

=》

[tex]k.e = 500 \times 25[/tex]

=》

[tex]k.e = 12500 \: joules[/tex]

kinetic energy = 12500 joules

Question : 2

mass (m) = 10 kgvelocity (v) = 5 m/s

=》

[tex]k.e = \dfrac{1}{2} mv {}^{2} [/tex]

=》

[tex]k.e = \dfrac{1}{2} \times 10 \times ({5})^{2} [/tex]

=》

[tex]k.e = 5 \times 25[/tex]

=》

[tex]k.e = 125 \: joules[/tex]

kinetic energy = 125 joules

Question : 3

mass = 100 kgvelocity = 5 m/s

=》

[tex]k.e = \dfrac{1}{2} mv {}^{2} [/tex]

=》

[tex]k.e = \frac{1}{2} \times 100 \times (5) {}^{2} [/tex]

=》

[tex]k.e = 50 \times 25[/tex]

=》

[tex]k.e = 1250 \: joules[/tex]

kinetic energy = 1250 joules

4. Coloca las partes en orden para formar una frase.

Se – La – se – transforma – sólo – no – ni – destruye – energía – crea – se

Answers

La energía no se crea ni se destruye solo se transforma

Explanation:

espero y te ayude

2. Give at least 2 major roles of mining in our lives.

Answers

Answer:

Mined materials are needed to construct roads and hospitals, to build automobiles and houses, to make computers and satellites, to generate electricity, and to provide the many other goods and services that consumers enjoy.

Explanation:

As you change the amplitude, does the wavelength change?

Answers

Answer:

Explanation:

Amplitude does not affect wavelength. It also does not affect wave speed. Amplitude is the energy of the wave measured from the rest position to the top of the crest.

Hope this Helped!!!

Answer:

False

Explanation:

Amplitude does not affect wavelength. It also does not affect wave speed.

Amplitude is the energy of the wave measured from the rest position to the top of the crest. A wave with more energy has a higher up crest/ higher amplitude.

En una feria, se gana una jirafa de peluche lanzando una moneda a un platito, el cual está sobre una repisa más arriba del punto en que la moneda sale de la mano y a una distancia horizontal de 2.1 m desde ese punto (figura 3.41). Si lanza la moneda con velocidad de 6.4 m>s, a un ángulo de 60° sobre la horizontal, la moneda caerá en el platito. Ignore la resistencia del aire. A) ¿A qué altura está la repisa sobre el punto donde se lanza la moneda? B) ¿Qué componente vertical tiene la velocidad de la moneda justo antes de caer en el platito?

Answers

Answer:

A) La altura de la repisa sobre el punto donde se lanza la moneda es de aproximadamente 0,42 m

B) La velocidad de la moneda justo antes de que golpee el platillo es de aproximadamente 0,895 m/s hacia abajo

Explanation:

A) Los parámetros dados son;

La distancia horizontal del plato desde donde se lanza la moneda = 2,1 m

La velocidad con la que se lanza la moneda, u = 6,4 m / s

El ángulo al que se lanza la moneda, θ = 60 °

La componente horizontal de la velocidad, vₓ = 6.4 m / s × cos (60°) = 3.2 m/s

El tiempo que tarda la moneda en recorrer una distancia horizontal de 2,1 m, 't' se calcula de la siguiente manera;

t = 2,1 m/(3,2 m/s) = 0,65625 segundos

Por tanto, la altura de la moneda a 0,65625 segundos se da de la siguiente manera;

y = u × sin (θ) × t - (1/2) × g × t²

En t = 0,65625 segundos, obtenemos;

y = 6,4 × sin (60°) × 0,65625 - (1/2) × 9,81 × (0,65625) = 0,41840044589

La altura de la repisa sobre el punto donde se lanza la moneda, y ≈ 0.42 m

B) La velocidad vertical de la moneda justo antes de que golpee el platillo, [tex]v_y[/tex], se da como sigue;

[tex]v_y[/tex] = u × sin(θ) - g·t

∴ [tex]v_y[/tex] = 6.4 × sin(60°) - 9.81 × 0.65625 ≈ -0.895

La velocidad de la moneda justo antes de golpear el platillo, [tex]v_y[/tex] ≈ 0.895 m/s (hacia abajo)

A rigid body of moment of inertia 0.5 kg.M^2 rotates with 2 RPM. How much torque is needed to increase the rotation to 10 RPM in 5 seconds.

Answers

Answer:

T = 0.084 Nm

Explanation:

First, we will calculate the angular acceleration:

[tex]\alpha = \frac{\omega_f - \omega_i}{t}[/tex]

where,

α = angular acceleration = ?

ωf = final angular speed = (10 RPM)(2π rad/1 rev)(1 min/60 s) = 1.05 rad/s

ωi = initial angular speed = (2 RPM)(2π rad/1 rev)(1 min/60 s) = 0.21 rad/s

t = time = 5 s

Therefore,

[tex]\alpha = \frac{1.05\rad/s - 0.21\ rad/s}{5\ s}\\\\\alpha = 0.168\ rad/s^2[/tex]

Now, for the torque:

[tex]T = I\alpha[/tex]

where,

T = torque = ?

I = moment of inertia = 0.5 kg.m²

Therefore,

[tex]T = (0.5\ kg.m^2)(0.168\ rad/s^2)\\[/tex]

T = 0.084 Nm

A harmonic oscillator is described by the function
x(t) = (0.290 m) cos(0.390t).
Find the oscillator's maximum velocity and maximum acceleration. Find the oscillator's position, velocity, and acceleration when t = 2.50 s.
(a)
oscillator's maximum velocity (in m/s)
m/s
(b)
oscillator's maximum acceleration (m/s2)
m/s2
(c)
oscillator's position (in m) when t = 2.50 s
m
(d)
oscillator's velocity (in m/s) when t = 2.50 s
m/s
(e)
oscillator's acceleration (in m/s2) when t = 2.50 s
m/s2

Answers

A I think but not sure though

My next photo How's it​

Answers

Answer:

Pretty good

Explanation:

is there nxt 1

Of the 5000 species of mammals, 250 species are carnivorous. What is the ratio of carnivorous to mammals?

Answers

Answer: The ratio of carnivorous species to all mammal species is 1:20

Explanation:

250:5000 = 250/250 = 1

250:5000 = 5000/250 = 20

Answer = 1:20

What do diffraction and refraction have in common? They both involve interference. They both involve wave interactions. They both involve reflection. They both involve construction.

Answers

Answer:

They both involve wave interactions.

Explanation:

Diffraction is defined as the bending of waves around obstacles. Refraction can be defined as the bending of the light when it transfers from one substance to another. The main similarity between the diffraction and refraction is that both involves the interaction of the waves with the substance and also causes the waves to bend and change their direction. Hence, they both involve wave interaction is the correct option.

What diffraction and refraction have in common is that they both involve wave interactions. This is further explained below.

What are diffraction and refraction?

When waves travel from one medium to another and refract, This causes them to change direction. while Diffraction is simply defined as the bending of waves around barriers.

In conclusion, diffraction and refraction are properties of waves.

Read more about Wave

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Activities that can help reduce the stress level in a family include A. exercising B. reading C. going for a walk D. all of the above Please select the best answer from the choices provided. A B. ОС

Answers

Answer:

D. all the above

Explanation:

Took the quiz.

Answer:   D) all the above

Explanation:   :)

please explain application of Stephan boltzmann law​

Answers

Answer:

This law is used to find the luminosity (the rate of energy released), for an object given its surface temperature. This law assumes the body acts as a black-body radiator (an object that emits energy from the entire EM spectrum)

For a given object with a constant surface area, the Stefan-Boltzmann law says that luminosity is proportional to the temperature raised to the fourth power.

Explanation:


1. Jen is stepping out of a boat on to a dock. She has one foot on the dock and one foot in
the boat. No one holds on to the boat. It begins to move away from the dock. Jen's legs
split wider and wider. Which law applies?

Answers

you tend to push off with the foot still on the boat.

Newtons 3rd law of motion hold that every action has an equal and opposite reaction.

So, the amount of force you use on your back foot to push yourself onto the dock, has an equal end opposite amount of force going the other way from your sole of your foot, which pushes the boat the other way.

The same principle applies when you fire a cannon - in the pirate films, you see the body of the cannon forced back as it is fired.

Take it one step further, Henry VIII flagship, “Mary Rose fired all its cannons together one day in a broad side, the opposite force rolled the ship over and sank it.

If a person meets an accident, which of the following factors will have more effect on his Kinetic energy and hence on the fatality of the accident?
A.velocity of the vehicle
B.Mass of the vehicle

Answers

It’s B bc you have to see how long the factors are

Answer:

b

Explanation:

How do media literacy , information literacy and technology literacy and media and information literacy differ in terms of use?

Answers

Answer:

Media literacy creates a conscious awareness, the ability to understand, analyze, the messages various media like the newspapers, the radio, that is for the consumer, and it also promotes how best media create information for production.

While information literacy and technology literacy differs from other literacy asked in the question above, as information literacy and technology could be used when describing getting information through adequate research and further dishing out this available information so as to effectively use the information with the aim to solve problems, create awareness, or educate, through technologies such as for example, email.

Lastly, media and information literacy differ in terms of use from the other two explained above, as media and information literacy describes discerning information credibility, accuracy, and objectivity of sources they come from, and it shows people how important it is to have credible information to make informed judgments and the ethical use of the information they consume.

what determines an atom identity
a. electrons
b. protons
c. neutrons
d. atomic mass​

Answers

Answer:

atomic mass

Explanation:

the identify of the atom is determined by the number of protons

2) 1. A vibration of an electric charge.
2.Transmits energy from the Sun to Earth
3. A wave which has both an electric and a magnetic component
4. The speed of this wave decreases as the medium becomes
denser.
What type of wave is being described by the statements above?
A) electromagnetic
B) longitudinal
C) mechanical
D) sound

Answers

Explanation:

Answers

1.Electromagnetic waves

2.Electromagnetic radiation

3.Electromagneticwaves

A student pushes a box to the right with a force of 10 N. At the same time, another
student pushes the same box to the left with a force of 5N.
What is the net force

Answers

Answer:

5 N

Explanation:

To find the net force of 2 objects pushing against each other you subtract them and that’s how you get your answer.

The net force acting on a system is defined as the resultant of all the force acting on all the body. The value of net force will be 5N.

What is force?

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.

The given data in the problem will be;

F₁ is the force act to the right = 10 N

F₂ is the force act to the left= 5N

F is the net force=?

According to the equilibrium concept, the net force acting on the body is equal to zero.

F = F₁  -  F₂

F = 10-5

F = 5N

Hence the value of net force will be 5N.

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How does refraction allow thin convex lenses to work?

Answers

Answer:

https://www.khanacademy.org/science/physics/geometric-optics/lenses/v/convex-lenses

Explanation:

Here is a link to a video to tell you about this.

Any incident ray traveling parallel to the principal axis of a converging lens will refract through the lens and travel through the focal point on the opposite side of the lens. ... These rays of light will refract when they enter the lens and refract when they leave the lens.

Unbalanced forces acting on an object produce a change in the object's __________​

Answers

An unbalanced force acting on an object results in the object's motion changing. The object may change its speed (speed up or slow down), or it may change its direction. Friction is a force that resists the motion or the tendency toward motion between two objects in contact with each other.

motion

Answer:

motion. FILLER FILLER FILLER

A man drags his suitcase for a 2.00m with a force of 10.0n. Determine the work done on the suitcase if, it is inclined at an angle of 30°

Answers

Answer:

17.32 J

Explanation:

Work = Fcos(theta)x

Work = (10cos30°)(2)

Work = 17.32 J

PLEASE NEED AN ANSWER SO I CAN SUBMIT IT!!! THANK YOU IN ADVANCE (will give brainliest)
For the circuit shown with a 12.0 V battery, what are the currents through each resistor and the voltage drops across each resistor?

Answers

Answer:

Im only 12 and i need the points so ima try my best.

Explanation:

574.780616 m6 kg3 s-6 K-3 mol-3

An aircraft with a landing speed of 295km/h lands on an aircraft carrier with a landing area 205m long . Find the maximum constant deceleration required for the a safe landing

Answers

120m. //////////////////
120m i think .. hopefully this helped

WORTH 15 POINTS WILL GIVE BRAINLIEST
What is the mechanical advantage of a handle on a water well that requires 5 newtons of force to lift a 40-Newton bucket of water?

200

8

0.125

12.5%

Answers

Option B. The mechanical advantage of a handle on a water well that requires 5 newtons of force to lift a 40-Newton bucket of water is 8.

Mechanical advantage is a measure of the force amplification completed by means of the usage of a device, mechanical tool or gadget device. The device trades off input forces towards motion to gain a preferred amplification in the output pressure.

The version for this is the regulation of the lever. The mechanical advantage is the degree how which tons of force is increased with the aid of using a device or gadget. it is equal to the pressure exerted with the aid of the tool or system divided via the carried-out effort.

calculation:-

Mechanical advantage = load/effort

                                       = 40/5

                                       = 8

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how freezing could be used to remove sugar from a mixture of sugar and water.

Answers

Answer - Put mixture in a freezer until ice crystals form. Pour off the remaining liquid . The ice can be melted and this process can be repeated to purify the water even more.

Hope this helps :)

Have a great day!

8. Jay drives his truck to football practice. He gives Jen a ride. The truck stalls in the parking
lot. He gets out and pushes it, but it won't budge. He tells Jen to get out and help him
push. They manage to push the truck into a parking space. (Thank goodness he is a
tackle!) Which law applies?

Answers

Answer:

Action Reaction

Explanation:

Linear vectore F

Gold atoms find their "birth" inside of huge _________.

Answers

Explanation:

he is very keen on taking up and is the age

A machine used 20 J of energy to make a
bicycle start. However, 6 J of energy was
wasted as heat. What is the percentage
efficiency of the machine?
a 30%
b 75%
C 70%
d 60%​

Answers

Answer:

a. 30%

Explanation:

Given the following data;

Energy as effort, Ee = 20 J

Energy as heat, Eh = 6 J

To find the percentage efficiency (P.E);

P.E = Eh/Ee * 100

Substituting into the formula, we have;

P.E = 6/20 * 100

P.E = 6 * 5

P.E = 30 %

Therefore, the percentage efficiency of the machine is 30 %.

A chart showing the type of reproduction that occurs in several organisms is shown below. Organism Type of Reproduction Bacteria Asexual Salmon Sexual Oak Trees Both Bears Sexual Asexual Flatworms Based on the information on the chart, which organisms are able to produce genetically diverse offspring? A Bacteria, oak trees, and flatworms B Salmon, oak trees, and bears C Salmon and bears only D Bacteria and flatworms only​

Answers

Answer:

C

Explanation:

Answer:

B

Explanation:

Because it’s asking about sexual

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