The drawing shows a 26.1-kg crate that is initially at rest. Note that the view is one looking down on the top of the crate. Two forces, and , are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is k = 0.347. Determine the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the crate.

Answers

Answer 1

Answer:

(a). The magnitude of the acceleration of the crate is 1.44 m/s².

(b). The direction  of the crate is 34.60°.

Explanation:

Given that,

Mass of crate = 26.1 kg

Coefficient of kinetic friction = 0.347

We need to calculate the resultant force

Using figure

[tex]F'=\sqrt{(F_{x}+F_{z})^2+F_{y}^2}[/tex]

Put the value into the formula

[tex]F'=\sqrt{(88\cos{55}+54)^2+(88\sin 54)^2}[/tex]

[tex]F'=126.4\ N[/tex]

(a). We need to calculate the acceleration of the crate

Using formula of sum of force

[tex]\sum{F}=F'-\mu N[/tex]

[tex]ma_{total}=F'-\mu mg[/tex]

[tex]a_{total}=\dfrac{F'}{m}-\mu g[/tex]

Put the value into thr formula

[tex]a_{total}=\dfrac{126.4}{26.1}-0.347\times9.8[/tex]

[tex]a_{total}=1.44\ m/s^2[/tex]

(b). We need to calculate the direction

Using formula of the direction

[tex]\theta=\tan^{-1}(\dfrac{F_{y}}{F_{x}+F_{z}})[/tex]

Put the value into the formula

[tex]\theta=\tan^{-1}(\dfrac{88\sin55}{88\cos55+54})[/tex]

[tex]\theta=34.60^{\circ}[/tex]

Hence, (a). The magnitude of the acceleration of the crate is 1.44 m/s².

The direction  of the crate is 34.60°.

The Drawing Shows A 26.1-kg Crate That Is Initially At Rest. Note That The View Is One Looking Down On

Related Questions

Jack took up the job of a front desk staff at a reputed hotel. He will be interacting with various customers and employees from different parts of the world. What should his manager do to help Jack adapt to a diverse workplace? The manager is quite impressed with Jack. He wants to encourage Jack to actively listen and explore all solutions. He also wants to train Jack to avoid using I-statements and encourage him to participate in programs that teach him more about his own ethnic group. In addition, the manager wants to help Jack to understand the customs of other cultures.

Answers

Answer:

a. He wants to encourage Jack to actively listen and explore all solutions.

d. the manager wants to help Jack to understand the customs of other cultures.

Explanation:

As a front desk staff of the hotet, jack has to learn to activel listen, and explore all solutions available within his reach when deali with customers.

Because he is the first point of contact in the hotel as the front desk officer, this means he would get to interact with people of diverse cultures, customs e.t.c. Jack needs to learn and understand this cultures.

What type of energy comes from the motion of tiny particles of matter?

Answers

answer:

heat

explanation:

Answer: Heat

Explanation: All matter is made of tiny particles called atoms, molecules and ions. These tiny particles are always in motion – either bumping into each other or vibrating back and forth. It is the motion of particles that creates a form of energy called heat (or thermal) energy that is present in all matter

This waterbottle has a mass of .5 kg. If the net force acting on the bottle is five and to the right what is the bottles acceleration (hint: use formula a=f/m

Answers

Answer:

a = 10/s^2

Explanation:

Answer:

a=10 m/s *2 right

Explanation:

The net force (0.5 kg) divided by the mass (5 N) = 10

The force moved the object to the right.

So you Would put this in the equation a=___ m/s *2 _____

And you would get a=10m/s*2 right

HOPE YOU LEARNED SOMETHING SO WHEN WE GO BACK TO SCHOOL YOU WILL KNOW WHAT YOU ARE TALKING ABOUT ! : )

Select the correct answer.
Which statement is true?
Ο Α. .
The speed of sound in air is inversely proportional to the temperature of the air.
OB.
The speed of sound in air is directly proportional to the temperature of the air.
The speed of sound in air is twice the temperature of the air.
OD
The speed of sound in air is not affected by the temperature of the air.

Answers

Let me think I think it’s B
I'm sure the correct answer is B.

Steve stands on a scale and it reads 65 kilograms. What is his weight in Newtons? *

Need help

Answers

Answer:

It would be 637.43 Newtons

Explanation:

Because

1 Kilogram:

The kilogram is defined as being equal to the mass of the International Prototype Kilogram (IPK), which is almost exactly equal to the mass of one liter of water.

1 Newton:

1 Newton in Earth gravity is the equivalent weight of 1/9.80665 kg on Earth. This is derived using Newton's second law f=ma and assuming Earth gravity of 9.80665 m/s2. 1 N (Earth) = 0.101971621297793 kg.

a car on a circular track accelerates from rest. the radius of the track is 0.30km and the magnitude of the constant angular acceleration is 4.5x10-3 rads/s squared. find the centripetal acceleration of the car when it has completed half of a lap. ​

Answers

Answer:

The centripetal acceleration of the car is 50.4 m/s²

Explanation:

Given;

radius of the track, r = 0.3km = 300 m

constant angular acceleration, α = 4.5 x 10⁻³ rad/s²

during half of a lap, θ = π

Determine time of motion

θ = ωt + ¹/₂αt²

π = 0 + ¹/₂αt²

t² = 2π / α

t² = ( 2 x 3.142) / (4.5 x 10⁻³)

t² = 1396.44

t = √1396.44

t = 37.369 s

Determine the angular velocity

[tex]\omega_f = \omega_i + \alpha t\\\\\omega_f = 0 \ + \ 37.369*4.5*10^{-3}\\\\\omega_f = 0.168 \ rad/s[/tex]

Determine the centripetal acceleration of the car

[tex]\alpha _c = \omega^2 r\\\\\alpha _c = 0.168*300\\\\\alpha _c =50.4 \ m/s^2[/tex]

Therefore, the centripetal acceleration of the car is 50.4 m/s²

In a powder-flavored drink solution, which substance is the solvent?
a. glass
b. flavored powder
c. water
d. sugar

Answers

Answer:

c. Water

Explanation:

The solvent is the substance in which a solute is dissolved to make the solution.

In this case, the water is the solvent, the flavored powder is the solute, and the solution is the final drink.

PLEASE HELP!!! a skateboard rolls down a ramp, starting from rest. after 3seconds, the skateboard’s velocity is 15m/s. what is the acceleration of the skateboarder?

Answers

V = Vi + at
15 = 0 + a (3)
15/3 = a
acceleration = 5 m/s^2

The reverse of the process of sublimation is called
a freezing.
b vaporization.
c deposition.
d condensation.
Science

Answers

Pretty sure it’s c I think if I’m wrong I’m sorry

A Force Of 15 N Is Applied To A Spring, Causing It To Stretch 0.3 M. What Is The Spring Constant For The Particular Spring

Answers

The spring constant is the number of Newtons needed to cause an extension of 1metre. So in this case it is 15/0.3 = 50 N/m

Answer:

50 on edge

Explanation:

What is a datum? A.) kinetic energy B.) reference point C.) potential energy D.) force

Answers

Answer:

C. Potenial energy

Explanation:

What unit is force always in?
Pounds
Kilograms
Meters
Newtons

Answers

The answer would be newtons.

The speed of an object undergoing constant acceleration increases from 8.0 m/s to 12.0 m/s in 10.0 seconds. How far does the object travel during the
10.0 seconds?
4 m
100 m
800 m
10 m

Answers

Answer:

is the question finnished

Explanation:

The Tacoma narrows bridge collapsed due to?
A. Refraction
B. Reflection
C. Diffraction
D. Resonance

Answers

Answer:

i think its resonance but if im wrong its my fault

Explanation:

Please type any energy transformation it will help a lot i would really appreciate it


prize: brainliest

Answers

Answer:

1. Electric generator

2. Using a battery powered torchlight

3. A fire(burning wood)

4. Electric lamp

5. Car using gas

Explanation:

What is the resultant of 5N force pointing north and 7N force pointing south? Do not forget to include the direction.

Answers

Answer:

It would be 2N pointing South.

Explanation:

Since the forces are going in opposite directions, you can subtract them. Which makes it 7N south minus 5N North. That is 2N pointing South. Because the force going south is greater, it is the direction the force will be going.

a high speed train travels with an average speed of 250 km/h. the train travels for 2 hrs. how far does the train travel

Answers

Answer:

The answer is 500 km

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = average velocity × time

From the question

average speed = 250 km/h

time = 2 hrs

We have

distance = 250 × 2

We have the final answer as

500 km

Hope this helps you

Answer:

The answer would be 454 miles.

Explanation:

You multiply the average speed by time travelled. Hope this helps!

As the cloud passes over the building, a lightning strike occurs and a charge of 0.84C flows through the lightning conductor. The charge flows for 3.5 × 10^-5 s.
Calculate the average current in the lightning conductor during this time. State the formula used in your answer

Answers

Answer:

I=24,000 Amp

Explanation:

Electric Current

Is a measure of the quantity of charge Q flowing by a point in a time period of t.

The standard metric unit for the current is the Ampere, often abbreviated as Amps or A.

It can be calculated as:

[tex]\displaystyle I=\frac{Q}{t}[/tex]

The cloud generates a lightning strike that releases a charge Q=0.84 C during a time [tex]t=3.5\cdot 10^{-5}\ sec[/tex].

The current is of course, not of a constant value, but an average value can be calculated by using the above formula:

[tex]\displaystyle I=\frac{0.84}{3.5\cdot 10^{-5}}[/tex]

[tex]\boxed{I=24,000\ Amp}[/tex]

it takes 275n to set a stationary 77.3 crate in motion. what is the coefficient of static friction?

Answers

Note: I'm assuming the data 77.3 is the mass of the crate.

Answer:

[tex]\mu_s =0.36[/tex]

Explanation:

The coefficient of static friction, called \mu_s is the ratio between the force needed to start moving an object above a rough surface (Fr), and the normal force the surface exerts on the object (N).

[tex]\displaystyle \mu_s =\frac{Fr}{N}[/tex]

The normal force is numerical equivalent to the weight of the body if no other external forces are acting.

[tex]N=m\cdot g[/tex]

The mass of the crate is m=77.3 Kg, thus its weight and normal force is:

[tex]N=77.3\ kg\cdot 9.8\ m/s^2[/tex]

[tex]N= 757.54\ Nw[/tex]

Now we calculate the coefficient:

[tex]\displaystyle \mu_s =\frac{275\cancel{N}}{757.54\cancel{N}}[/tex]

[tex]\boxed{\mu_s =0.36}[/tex]

Answer:

0.36

Explanation:

an someone help me please, thanks.

Answers

From top down the answers are :
Magnetic field
Ozone
Carbon dioxide
Water in oceans

One-fourth of adults in the United States are not active at all.

true

false

Answers

Answer:

true 28%

Explanation:

;"/:;,*"# /hcrvuvf

Answer:

True - - - probably more than one-fourth aren't to be honest

Explanation:


Which of the following is a diatomic molecule?
Cl2
NO
O3
NaCl

Answers

Answer:

Diatomic molecules are composed of only two atoms, of either the same or different chemical elements. Common diatomic molecules include hydrogen (H2), nitrogen (N2), oxygen (O2), and carbon monoxide (CO).

Explanation:

Hello I have the same question but I couldnt figure it out but i looked it up and this is what found it seemed to help me alot.

Based on illustrations of magnetic field lines, where could an object be placed so it would not experience a magnetic force?
halfway between the like poles of two magnets, because the field lines bend away and do not enter this area
halfway between the opposite poles of two magnets, because the field lines are the closest together
above the middle of a bar magnet, because the magnetic field lines are only found around the sides of the magnet
above a pole of a bar magnet, because the magnetic field lines either go in or go out at the end

Answers

Answer:

(a) halfway between the like poles of two magnets, because the field lines bend away and do not enter this area

Explanation:

Got it correct on the test.

Answer:

(a) halfway between the like poles of two magnets, because the field lines bend away and do not enter this area

Explanation:

which of the following is not non constant force
A. gravitational force
B. frictional force
C.magnetic force
D. electrical force​

Answers

Answer:

Frictional force. hope this helps have a good day

Answer:

frictional force

Explanation:

Friction always acts to oppose any relative motion between surfaces. For the simple example of a book resting on a flat table, the frictional force is zero. There is no force trying to move the book across the table, so there is no need for a frictional force because there is nothing for the frictional force to oppose.

I need help ASAP this is due tomorrow at 8 AM its four questions and I don't understand none of them please help!!

1. Draw a series circuit with a 2-cell battery, 2 motors and an open switch.

2. Draw a parallel circuit with a 3-cell battery, 4 lamps and 1 closed switch that turns off all lamps.

3. Draw a circuit with a 3-cell battery, 2 motors (one motor on and one off).

4. Draw a circuit with a 2-cell battery, 2 lamps, 1 closed switch (wire it so if one lamp burns out, both lamps will not work).

Answers

Answer:

Is it a test

Explanation:

A falcon is diving at a speed of 30m/s. It accelerates at a rate of 40m/sand reaches a speed of
100m/s. Calculate the distance it travels during its acceleration.​

Answers

Answer:

Reasd through the explanartion first :)

Explanation:

Initial velocity, u = 30 m/s

Final velocity, v = 100 m/s

Acceleration, a = 40 m/s²

Distance traveled, s = ?

According to the 3rd equation of motion,

We know that,

v² - u² = 2as

So, putting all the values, we get

⇒ v² - u² = 2as

⇒ (100)² - (30)² = 2 × 40 × s

⇒ 10000 - 900 = 80s

⇒ 9100 = 80s

⇒ 9100/80 = s

⇒ s = 113.75 m.

I need help ASAP. This is for 15 points

Answers

Answer:

Latitude :

runs: east to west

measures : distances north and south of the equator

Longitude :

runs : north to south

measures : the distance east or west of the Prime Meridian

1. Determinar cuanta fuerza es necesaria para empujar un móvil que se encuentra en reposo para que alcance una velocidad de 15 m/s en un tiempo de 20 segundos, considerando que dicho móvil tiene una masa de 1000Kg. No considere que existe fricción.

Answers

Responder:

Explicación:

Fuerza = Masa × aceleración

Dado que aceleración = velocidad final - velocidad inicial / tiempo

Fuerza = m (v-u) / t

Dado

Masa = 1000 kg

v = 15 m / s

u = 0 m / s

t = 20 segundos

Sustituye los valores dados en la fórmula para calcular la fuerza.

F = 1000 (15-0) / 20

F = 1000 (15) / 20

F = 15000/20

F = 750N

An object travels at a constant velocity of 15 m/s for 5.0 seconds. How far does it
move during that time?

Answers

Answer:

Explanation:

Givens:

v = 15 m/s

t = 5 seconds

d = ??

Formula

d = v*t

Solution

d = 15 * 5

d = 75 m

when a light bulb is turned on electrical energy is transformed into two other types of energy. What are they and support your answer

Answers

Answer:

In the case of an electric bulb, the electrical energy is converted to light and heat. The amount of electrical energy put into a bulb = the amount of light energy (desirable form) plus the heat energy that comes out of the bulb (undesirable form).

Explanation:

sana nakatulong)):

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