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

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

Put the value into the formula

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

\(F'=126.4\ N\)

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

Using formula of sum of force

\(\sum{F}=F'-\mu N\)

\(ma_{total}=F'-\mu mg\)

\(a_{total}=\dfrac{F'}{m}-\mu g\)

Put the value into thr formula

\(a_{total}=\dfrac{126.4}{26.1}-0.347\times9.8\)

\(a_{total}=1.44\ m/s^2\)

(b). We need to calculate the direction

Using formula of the direction

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

Put the value into the formula

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

\(\theta=34.60^{\circ}\)

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

How much work is done by an engine to accelerate an
800 kg vehicle from 10 m/s to 20 m/s?

Answers

We are unable to directly determine the work performed by the engine because the distance over which the force acts is unknown.

What work is involved in accelerating an 800 kg automobile from 5 meters per second to 10 meters per second?

This indicates that the effort expended to increase the car's speed will be equivalent to the change in kinetic energy of the vehicle. Thus, 30 kJ of effort must be performed.

What is the recipe for getting stuff done?

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.

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Tarzan, who weighs 688 N, swings from a cliff at the end of a vine 18 m long. From the top of the cliff to the bottom of the swing,he descends by 3. 2 m. The vine will break if the force on it exceeds 950 N. (a) Does the vine break?(b) If no, what is the greatest force on it during the swing? If yes, at what angle with the vertical does it break?

Answers

From the given information about Tarzan,

a)No,the vine doesnot break.

b)The greatest force on it during the swing is 933N.

(a) To see if the vine breaks, it is adequate to inspect it right now Tarzan swings through the absolute bottom, which is the point at which the plant — in the event that it didn't break — would have the best strain. Picking a vertical positive, Newton's subsequent regulation prompts

                                T-mg=mv²/r

where r=18.0m and m=W/g=688/9.8=70.2kg. We see as the v²

from energy protection (where the reference position for the potential energy is at the absolute bottom).

mgh=(1/2)mv²

=>v²=2gh

where h=3.20m. Joining these outcomes, we have

T=mg+(m×2gh)/r=mg(1 + (2h/r))

=>T=70.2×9.8×[1+(2×3.2)/18]

=>T=687.96 × (1+ 6.4/18)

=>T=687.96 ×(1+0.355)

=>T=687.96×1.355

=>T=932.738N

Since,maximum force given is 950N ,therefore the vine doesn't break.

(b) Adjusting to a fitting number of huge figures, we see the greatest force is generally 9.3×10²N

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1. Consider the position vs time graph at right.
a. Determine the average velocity of the object.
Imis
x (m)
60-.
-T
---
b. Write a mathematical equation to describe the
motion of the object.
50---
403
30--1-3
20-
10---1
: ! ! ! !
............
1 2 3 4 5 6
t(s)

Answers

Answer:

Labor Day Weekend--No School

9/1/2021

Hello Students!

There will be no School on Friday Sept 3 and Monday Sept 6

All centers will be closed on Friday 9/3 and Monday 9/6

School will resume on TUESDAY, Sept 7

Enjoy your long weekend!

Explanation:

Labor Day Weekend--No School

9/1/2021

Hello Students!

There will be no School on Friday Sept 3 and Monday Sept 6

All centers will be closed on Friday 9/3 and Monday 9/6

School will resume on TUESDAY, Sept 7

Enjoy your long weekend!

What must every circuit have?

Answers

Answer:

a cell and connector ( wire)

Explanation:

types of circuit are

I. open

Ii. closed

Anyone knows this please help me

Anyone knows this please help me

Answers

Answer:

Option B is the correct definition of an isotope

Answer:

two or more forms of the same element that contain equal numbers of protons but different numbers of neutrons in their nuclei

Explanation:

Use the drop-down menus to complete each sentence.


The force applied to the physics cart is manipulated

Answers

Answer:b

Explanation:

An electron is shot through four regions of constant electric field (position is given in centimeters and time is given in seconds). Restart. What is the direction of the electric field in each region?

Answers

Region 1: The electric field in this region is in the positive x-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

What is electric?

Electricity is the flow of electrical energy generated by the movement of charged particles. It is a form of energy that can be used to power a wide variety of appliances and machines. Electricity is created by the movement of electrons, which are negatively charged particles found in all matter.

Region 2: The electric field in this region is in the negative x-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

Region 3: The electric field in this region is in the negative y-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

Region 4: The electric field in this region is in the positive y-direction. This is because when an electron is shot through a region of constant electric field, it will accelerate in the direction of the field.

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A student repeats a reaction several times to test the effects of various
changes on the reaction rate. The data table shows the results. Based on
these results, how would decreasing the concentration of the reactants
change the reaction rate?
UIT
IS
Conditions
Original
Higher concentration
Higher temperature
Metal added
Reaction Time (6)
10 seconds
Sseconds
5 seconds
5 seconds
O A. More information is needed to determine what would happen to
the reaction rate.
B. Decreasing the concentration would increase the reaction rate.
OC. Decreasing the concentration would have no effect on the reaction
rate.
D. Decreasing the concentration would decrease the reaction rate.

Answers

I would pick answer option A

The brakes are not used like an on/off switch because:
A. Engine revolutions per minute are affected
B. The brake light will not come on
C. Brake damage could occur
D. The wheels could lock up

Answers

The brakes are not used like an on/off switch because the wheels could lock up.Option D correctly identifies the consequence of using the brakes as an on/off switch.

If the brakes are abruptly applied and released without proper modulation, there is a risk of the wheels locking up. This can lead to a loss of control over the vehicle and potentially result in skidding or accidents.

Proper braking technique involves gradual and controlled application of the brakes, allowing for the transfer of weight to the front wheels and gradual deceleration. This allows the tires to maintain traction with the road surface and ensures stability during braking.

Options A, B, and C are not the primary reasons why the brakes should not be used like an on/off switch. While excessive and abrupt braking can affect engine RPM (Option A), it is not the main concern. The brake light (Option B) is a safety feature that indicates when the brakes are applied, but it is not the primary reason for avoiding on/off switching. Brake damage (Option C) can occur with excessive heat buildup due to prolonged and aggressive braking, but it is not directly related to the on/off switching behavior described in the question.

Overall, the main reason to avoid using the brakes like an on/off switch is to prevent the wheels from locking up, which ensures safer and more controlled braking.

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A student shakes a rope such that 36 complete vibrations are
made in 9.00 seconds. determine the vibrational period of
the rope, along with the corresponding unit.

Answers

The vibrational period of the rope, when a student shakes it is 0.25 s.

What is the frequency?

Frequency is the number of oscillations per second.

Given is the number of vibrations =36 in time t = 9s, then frequency will be

f = 36/9 =4Hz

The time period is the reciprocal of the frequency.

T = 1/f

Plug the frequency value, we get

T = 1/4 Hz = 0.25 seconds

Thus, the vibrational time period is 0.25s.

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How many electrons have a +1/2 spin in the 3d, 4d and 5d orbits combined?
O 15
30
O 5
O 10

Answers

Hund's rule allows us to find that the number of combined mismatched electrons is 12

Hund's rule is which configuration has the lowest energy in a system, so this must be met

Electrons spin are distributed in a parallel configuration to decrease energy For a given total spin, the lowest energy value is when the angular momentum is maximum.

In this case the number of sublevel of the  d orbital where they fit

           # sublevels = 2 d + 1

           # sublevels = 2 2 +1

           # sublevels = 5

Each sublevel fits two electrons according to the Pauli principle, which establishes that all quantum numbers in a novel cannot be the same.

Let's distribute the electrons at each level

level        electrons

3d             ½ ½ ½

4d          ½ ½ ½ ½

5d      ½ ½ ½ ½ ½

Where there is a single electron in each sublevel according to Hund's principle

The number of unpaired electrons combined is 12

In conclusion using Hund's rule we can find that the number of combined unpacked electrons is 12

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Answer:15

Explanation: I have the same college class is based on hunds rule

a. What are the defects of simple cell?​

Answers

Defects of simple voltaic cell:
Polarization: When a simple cell is in use it is found that the current quickly falls to a very small value.
Local action: If the zinc used in the simple cell is of the impure commercial variety bubbles of hydrogen will be seen coming off the zinc

5. You require a high-current battery to start a large tractor. While shopping
for this battery, should you be more concerned with the battery's rating
of volts or amps? Explain.

Answers

Answer:

I have no clue sorry I wish I could help

HEY CAN ANYONE ANSWER DIS RQ PLS!!!!!

HEY CAN ANYONE ANSWER DIS RQ PLS!!!!!

Answers

Answer: all of the above and yes

hope thsi helps

Answer:

Hey!

Your first answer is ALL OF THE ABOVE!

Your second answer is YES!

I HOPE THIS HELPED YOU!

Predict what would happen to the volume of a gas if the pressure on that gas were doubled and then the absolute temperature of that gas were doubled.

Answers

The new volume of the gas will remain the same.

Data obtained from the question Initial pressure (P₁) = PInitial temperature (T₁) = TInitial volume (V₁) = VNew pressure (P₂) = 2PNew temperature (T₂) = 2TNew Volume (V₂) =?

How to determine the new volume

The new volume of the gas can be obtained by using the combined gas equation as illustrated below:

P₁V₁ / T₁ = P₂V₂ / T₂

(PV) / T = (2P × V₂) / 2T

Cross multiply

T × 2P × V₂ = PV × 2T

2PT × V₂ = 2PVT

Divide both side by 2PT

V₂ = 2PVT / 2PT

V₂ = V

Thus, the new volume will remain the same

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Reasons why water can not be used as a thermometric substance

Answers

Water is not commonly used as a thermometric substance due to its limited temperature range, poor thermal conductivity, density variation, boiling point variation, and susceptibility to impurities

There are several reasons why water is not commonly used as a thermometric substance, such as:

1. Limited temperature range: Water can exist only in the liquid state between 0°C to 100°C at normal atmospheric pressure, which limits its use as a thermometric substance in temperature measurements beyond this range.

2. Poor thermal conductivity: Water has a low thermal conductivity compared to some other substances, which can result in slower heat transfer rates and inaccuracies in temperature measurements.

3. Density variation: The density of water decreases with increasing temperature between 0°C to 4°C, which means that the volume of water expands as it is heated. This makes it difficult to obtain accurate readings when measuring temperatures near or below 4°C.

4. Boiling point variation: The boiling point of water changes with variations in atmospheric pressure, which can introduce inaccuracies in temperature measurements.

5. Susceptibility to impurities: Water is susceptible to impurities, such as dissolved minerals, which can affect its physical properties, including its boiling and freezing points.

Therefore, while water is an important substance in many areas of science and technology, it is not commonly used as a thermometric substance due to its limited temperature range, poor thermal conductivity, density variation, boiling point variation, and susceptibility to impurities.

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If you changed the surface of the incline the car is rolling down, how might that impact the distance and speed the car travels? Explain your answer using Newton's Laws.

Answers

Explanation: As the angle is increased the acceleration of the object is increased as the angle increases the component of the force parallel to the incline increases and the component of forced perpendicular to the inclined decreases it is the parallel component of the weight vector that causes the acceleration.

You buy a cup of coffee at a local coffee shop. It comes in a paper cup. The cup is too hot to hold and you let it sit on the counter for a while. Eventually the cup is cool enough to carry.
Which choice describes how heat energy transfer is related to thermal energy loss?

Answers

Answer:

Thermal energy from the cup was lost as heat to the environment thus reducing the temperature of the cup

Explanation:

Answer: Thermal energy from the cup was lost as heat to the environment thus reducing the temperature of the cup

Explanation: did workbook and got answer right

The variables for Part I of this experiment include whether or not the car hits the barrier and the distance that the washers travel. Use the drop-down menus to identify the independent and dependent variables.



The independent variable, the one that is intentionally manipulated, is
.



The dependent variable, the one that you measure the response in, is
.

Answers

The independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.The dependent variable, the one that you measure the response in, is the distance that the washers travel.

The independent variable in an experiment is the variable that is manipulated by the researcher. It is the variable that is intentionally changed by the researcher to examine the impact of this change on the dependent variable.The dependent variable, on the other hand, is the response that is measured by the researcher.

It is the variable that is being influenced by the independent variable in an experiment. Thus, in the given experiment, the car's hitting the barrier is the independent variable while the distance that the washers travel is the dependent variable.

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A dog jumps 0.80 m to catch a treat. The dog's displacement vector is shown below.
Which diagram shows the vertical and horizontal components of the dog's displacement?
Choose 1 answer:

A dog jumps 0.80 m to catch a treat. The dog's displacement vector is shown below.Which diagram shows

Answers

Answer:D

Explanation:

It was right o khan academy

A dog jumps 0.80 M to catch a treat. The dog's displacement vector is shown below.

Which diagram shows the vertical and horizontal components of the dog's displacement?

THE ANSWER IS IN THE ATTACHMENT!

an ice box taken along on a picnic contains1.3kg of water and 0.6kg ice. If 35.564J of heat enters theough the insulator each second , how long it take for all the ice to melt? latent heat of fusion for ice 3.335×10^5.​

Answers

It take 1 hour 33 minute for all the ice to melt.

What is latent heat?

The heat or energy that is absorbed or released during a substance's phase change is known as latent heat. It might go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.

Given parameters:

Mass of the ice: m=  0.6kg.

Heat enters though the insulator each second , H = 35.564J.

latent heat of fusion for ice: L =  3.335×10⁵ J/kg.

So, time taken for all the ice to melt = mL/H

=   0.6 × 3.335×10⁵/35.564 second

= 5626 second

= 1 hour 33 minute.

Hence,  It take 1 hour 33 minute for all the ice to melt.

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True or False: A reference point is stationary

Answers

Answer:

True

Explanation:

A Reference point is stationary

which are true for an object in static equilibrium? select all that apply. which are true for an object in static equilibrium?select all that apply. the net force is zero. the moment of inertia is zero. the potential energy is zero. the net torque is zero. the center of mass is at the center of the object.

Answers

In static equilibrium, the net force and net torque are zero, and the center of mass remains fixed.

In an object in static equilibrium, the following statements are true:

The net force is zero: In static equilibrium, all forces acting on the object balance out, resulting in a net force of zero.

This means that the object is not accelerating in any direction.

The net torque is zero: Torque is the rotational equivalent of force, and in static equilibrium, the object is not rotating or experiencing any rotational acceleration.

Therefore, the sum of all torques acting on the object is zero.

The center of mass is at the center of the object: The center of mass refers to the point where the mass of an object is considered to be concentrated.

In static equilibrium, the center of mass remains fixed and stable, often coinciding with the geometric center of the object.

The following statement is false:

The moment of inertia is zero: The moment of inertia is a measure of an object's resistance to rotational motion.

In static equilibrium, the object may have a moment of inertia, but it remains constant and does not change over time.

The following statement is not directly related to static equilibrium:

The potential energy is zero: The potential energy of an object is associated with its position in a gravitational or other potential field.

In static equilibrium, an object may have potential energy, depending on its position, but this energy value is not necessarily zero.

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A pendulum consists of a 0.3 kg mass at the end of a string. The pendulum is raised to a height of 0.26 m and released. When the pendulum reaches its lowest point, it has a velocity of 2.28 m/s. What is the total energy of the Pendulum-Earth system?

Answers

The total energy of the Pendulum-Earth system is equal to 1.54416 Joules.

Given the following data:

Mass = 0.3 kgHeight = 0.26 meter.Velocity = 2.28 m/s.

Scientific data:

Acceleration due to gravity on Earth = 9.8 \(m/s^2\)

To calculate the total energy of the Pendulum-Earth system:

How to calculate total energy.

The total energy possessed by this Pendulum-Earth system is equal to the sum of both the potential energy and kinetic energy at its lowest point.

Mathematically, the total energy is given by this formula:

\(E = mgh + \frac{1}{2} mv^2\)

Substituting the given parameters into the formula, we have;

\(E = 0.3 \times 9.8 \times 0.26 + \frac{1}{2}\times 0.3 \times 2.28^2\\\\E=0.7644+0.77976\)

E = 1.54416 Joules.

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how many electrons pass through a lghtbulb every second if it is cnnected to a 3 volt circuit with a 12 ohm resistanc

Answers

To determine the number of electrons passing through a light bulb every second, we need to use the concepts of current and charge.

By applying Ohm's law, which relates voltage, current, and resistance, we can calculate the current flowing through the circuit. Then, using the fundamental charge of an electron, we can determine the number of electrons passing through the light bulb per second.

Ohm's law states that current (I) is equal to the voltage (V) divided by the resistance (R), i.e., I = V / R. In this case, the circuit is connected to a 3-volt power source and has a resistance of 12 ohms. Therefore, the current flowing through the circuit is I = 3 V / 12 Ω = 0.25 A.

To find the number of electrons passing through the light bulb per second, we need to know the charge carried by each electron. The fundamental charge of an electron is approximately 1.6 x 10^-19 Coulombs.

To calculate the number of electrons per second, we can use the equation: Number of electrons = Current / Charge of an electron. Thus, Number of electrons = 0.25 A / (1.6 x 10^-19 C).

Calculating this value gives us the number of electrons passing through the light bulb every second.

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Can you please help me?

Can you please help me?

Answers

Answer:

2nd one

Explanation:

highest frequency shortest wavelength

Answer:

highest frequency shortest wavelength

A train is moving west with an initial velocity of 20m/s accelerates at 4m/s for 10 seconds during this time the train moves a distance ​

Answers

Answer:

400m

Explanation:

From Newton's law of motion;

S = ut + 1/2 at2

Where U is initial velocity

a is acceleration

t is velocity hence;

S is distance covered

S = 20×10 + 1/2 × 4×(10)^2

= 200 + 200 = 400m

Determine the velocity and acceleration of the peg A which is confined between the vertical guide and the rotating slotted rod.
a) Cannot be determined from the given information
b) Velocity is constant, acceleration is zero
c) Velocity is increasing, acceleration is constant
d) Velocity is decreasing, acceleration is zero

Answers

a) Cannot be determined from the given information. The reason for this is that we are not provided with any information about the speed of the rotating slotted rod or any other forces acting on the peg.

Without this information, it is impossible to determine the velocity or acceleration of the peg A. Velocity is the rate of change of position over time, while acceleration is the rate of change of velocity over time. Without knowing the speed of the rotating slotted rod or any other external forces acting on the peg, we cannot determine its velocity or acceleration. Therefore, option a) is the correct answer.
Your answer: a) Cannot be determined from the given information. To accurately determine the velocity and acceleration of peg A confined between the vertical guide and the rotating slotted rod, additional information such as the dimensions, rotational speed of the rod, and initial conditions are required. Without these specifics, it's impossible to establish the precise behavior of peg A within the system.

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1) A 2.0 kg steel block is placed on a steel table as shown below. Force F is applied to the block to the right.

a) Determine the normal force acting on the block.

Answers

Answer:

if g=-10m/s² then the normal force is 20N

if g=-9.8m/s² then the normal force is 19.6N

Explanation:

The force due to gravity (or weight) is mass times the acceleration due to gravity.

I am going to define up as positive so gravity will be negative.

On earth the acceleration due to gravity is -9.8m/s²

We sometimes round this to -10m/s² to make the math easier.

I will do it both ways.

so we have a mass of 2kg

2kg(-10m/s²)

so the force due to gravity is -20N

because the block is not falling through the table, the table must be pushing back with the same amount of force, but in the opposite direction so we change the sign.

using -10m/s² for g, we get a normal force of 20N (Newtons)

if we use -9.8m/s², we have 2kg(-9.8m/s²)

and a force due to gravity of -19.6N

and when we flip the sign we get a normal force of 19.6N

Hope this helps!

How much force (in Newtons) acts on a 1700 kg car going around a
80 m radius turn at a speed of 15 m/s?
a) 375
b) 4781
c) 1167
d) 319

Answers

Answer:

b) 4781 N

Explanation:

Because there is a redius do this question is talking about the acceleration force which= mv^2/r

so a=15^2/80=2.8125 m^2/s

so the force will be = m.a

F =1700×2.8125=4781.25 N

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