the member with a cross-section area of a is subjected to axial loading p as shown. what is the maximum shearing stress and its corresponding plane?

Answer:

gravitation

good luck, hope this helps :)

Answer:

The frequency will be reduced by a factor of √2/2

Explanation:

Pls see attached file

The new frequency of oscillation will be half the original frequency of oscillation of spring-block system.

Let the initial mass of block be m.

And new mass is, 4m.

The frequency of oscillating motion is defined as the number of complete oscillation made during the time interval of 1 second. The mathematical expression for the frequency of oscillation of block-spring system is given as,

\(f = \dfrac{1}{2 \pi}\sqrt{\dfrac{k}{m}}\)

Here,

k is the spring constant.

If the mass of block increased to 4m, then the new frequency of oscillation of spring will be,

\(f' = \dfrac{1}{2 \pi} \sqrt{\dfrac{k}{4m}}\\\\\\f' =\dfrac{1}{2} \times \dfrac{1}{2 \pi} \sqrt{\dfrac{k}{m}}\\\\\\f' =\dfrac{1}{2} \times f\)

Thus, we can conclude that the new frequency of oscillation will be half the original frequency of oscillation of spring-block system.

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Microevolution refers to the evolution occurring at species-level involves three mechanisms that cause allelic frequencies to change in a population: gene flow, genetic drift, and natural selection.

Changes in the environment can affect population gene pools on both a small- and large-scale. Microevolution is the process of population-level changes in allele frequency. Some alterations take place at the species level or lower. There are hence variations in allele frequencies between or within groups.

Natural selection is one of the mechanisms of microevolution. It serves as an editor for allele frequency in populations to determine whether individuals with particular features have a higher or lower chance of surviving and procreating. Populations' gene pools can occasionally shift as a result of individuals leaving or entering the community. This transfer of alleles between populations is referred to as gene flow. Genes can "flow" from one area to another just like water does in a river.

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Explanation:

To find the acceleration of the rocket, we need to use the equations of motion for constant acceleration.

We know that the bolt was dropped 5 seconds after the rocket was launched, and that it took 10 seconds for the bolt to hit the ground. This means that the bolt was in free fall for 10 - 5 = <<10-5=5>>5 seconds.

We can use the equation d = 1/2 * a * t^2 to find the acceleration of the bolt. We know that the bolt fell a distance of 10 meters in 5 seconds, so we can plug those values into the equation to get: 10 = 1/2 * a * 5^2. Solving for a gives us a = 2 * 10 / 5^2 = 2 * 10 / 25 = 0.8.

Since the bolt was in free fall, its acceleration was due to gravity, which is about 9.8 meters per second squared. This means that the rocket must have had an acceleration greater than 9.8 meters per second squared in order to cause the bolt to fall off of it.

Therefore, the rocket's acceleration must have been greater than 0.8 meters per second squared. However, we cannot say exactly what the acceleration was without knowing more information about the rocket and its launch conditions.

The acceleration of the rocket is 197.5 m/s² if the bolt hits the ground 10.0 s later.

A branch of physics called kinematics, which was evolved from classical mechanics, defines how points, bodies, and systems of bodies (groups of objects) move without taking into account the forces that propel them. The discipline of kinematics is sometimes thought of as a subfield of mathematics and is sometimes referred to as the "geometry of motion." Any known values of the location, velocity, and/or acceleration of points inside the system are declared as initial conditions for a kinematics issue, together with the geometry of the system. The location, velocity, and acceleration of any unidentified system components can then be calculated using geometrical considerations. Kinematics, not kinematics, is the study of forces and their effects on physical objects. For further information, visit.

Given,

time of the bolt = 10-5 =5s

acceleration due to gravity =9.8m/s²

The height of the bolt s = ut+1/2at²

s = 0+ 1/2 ×9.8×5²

s = 122.5m

We cannot find the acceleration of the rocket without its final velocity (velocity of the rocket at the time of fall of bolt). Therefore Consider the final velocity of the Rocket is 220m/s

Then,

v² = u² + 2as

220² = 0 +2×a×122.5

48400 = 245 a

a = 197.5 m/s²

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Answer:

The correct answer is - the Social Readjustment Rating Scale.

Explanation:

The social readjustment rating scale is developed by Richard Rahe and Thomas Holmes to measure the stress caused by this important and major life event. Stress helps in developing a psychological approach for the particular person.

It is an assessment tool to calculate the impact of the major life events in the time period of one year with the help of units of 0 to 100. 100 is extreme or highest stress caused by the event such as the death of the spouse.

Answer:

4

Explanation:

The net force on the box a will be 20 N to the left and that on box b is 6 N downwards. The net force on box  c is 90 N to the left and that on box d is zero.

Force is an external agent acting on a body to change its motion or to deform it. The net force acting on a body depends on all the the forces with their magnitudes and directions.

If two same or different forces acts from the same direction they will add up and net force will be their sum. If they acts from the different directions, they will cancel each other in magnitudes.

In box a, the equal forces of 20 N opposes from each direction cancel and the net force will be 20 N to the left. I box b the 15 N cancel each other. Where the 4N and 2 N add up to have net force of 6 N downwards.

In box c, 10 N from opposite direction cancels and the 60 N and 30 N to the left add ups to have the net force of 90 N to the left. On box d, 5 N from opposite directions cancels as 12 N. Hence, net force is zero.

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Answer:

The focal length of the mirror is 10.4 cm.

Explanation:

So substitute the values of object distance and image distance in the mirror equation,

1/f = 1/(-18cm) + 1/(-25.0cm)

1/f = -25cm/(-18cm x -25cm) - 18cm/(-18cm x 25cm)

1/f = ( -25cm - 18cm)/(18cm x 25cm)

1/f = -43.0/450.0

f = -10.4651 cm.

The focal length of the mirror is approximately -10.4 cm.

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Answer: Fitness assessments are designed to screen for risk of heart disease.

Explanation:

Fitness assessments are medical examinations that are designed to measure a person's physical fitness and identify any health risks they may have. These assessments may include tests of strength, endurance, flexibility, and cardiovascular fitness. One of the primary objectives of a fitness assessment is to screen for the risk of heart disease, which is a major health concern that can be prevented or treated through exercise and other lifestyle changes. While fitness assessments may identify specific injuries or medical conditions, their primary focus is on evaluating a person's overall health and fitness.

The angular velocity in radians per second can be calculated as,

Thus, the angular velocity of the rotor is 33.5 rad/s.

Answer:

Vertical velocity = 8.28 m/s

Horizontal velocity = 28.3 m/s

__________________________________________________________

We are Given:

Initial velocity of the ball = 40 m/s

Angle of elevation of the ball = 45°

Time interval = 2 seconds

__________________________________________________________

Vertical and Horizontal Components:

Vertical Component:

The vertical component of the ball can also be written as:

40*Sin(45°)

40*(1/√2)                                                          [since Sin(45°) = 1/√2]

40/√2 m/s

Horizontal Component:

The horizontal component of the ball can also be written as:

40*Cos(45°)

40*(1/√2)                                               [Since Cos(45°) = 1/√2]

40/√2 m/s

__________________________________________________________

Speed of the Ball after 2 seconds:

Horizontal Velocity:

Since the horizontal velocity is not affected by any force during the flight, the horizontal velocity after 2 seconds will also be 40/√2 m/s

Since √2 = 1.41:

Horizontal velocity = 28.3 m/s

Vertical Velocity:

v = u + at                            [First equation of motion]

v = 40/√2 + (-10)(2)          

[g is negative because it is acting against the direction of motion]

v = 40/√2 - 20

v = \(\frac{40-20\sqrt{2} }{\sqrt{2} }\)                          [taking the LCM]

v = 8.28 m/s                    [√2 = 1.41]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The velocity is   \(v =0.333 \  m/s \) in positive x -direction

The speed is \(s = 0.733 \ m/s\)

Explanation:

From the question we are told that

The distance from the house to truck is  D =  20 m

  The distance traveled back to retrieve  wind-blown hat is  d =  15

  The distance from the wind-blown hat position too the truck is  k =  20  m

  The total time taken is  t  =  75 s

Generally when calculating the displacement the Justin's backward movement to collect his wind - blown hat is taken as negative

Generally Justin's displacement is mathematically represented as

      \(L = 20 - 15 + 20\)

=>    \(L  =  25 \ m \)

Generally the average velocity is mathematically represented as

          \(v = \frac{L}{t}\)

=>      \(v = \frac{25}{75}\)

=>      \(v =0.333 \  m/s \)

Generally the distance covered by Justin is mathematically represented as  

         \(R = D+ d + k\)

=>      \(R = 20 + 15 +20\)

=>     \(R =  55 \  m \)

Generally Justin's average speed over a 75 s period is mathematically represented as

            \(s = \frac{R}{ t}\)

=>         \(s = \frac{55}{ 75}\)

=>        \(s = 0.733 \ m/s\)

The current drawn by the appliance is 0.048 A.

The problem provides the number of electrons that flow through an appliance and the time it takes for the flow to occur. To find the current drawn by the appliance, we need to use the equation:

current = charge / time

The charge is the total number of electrons that flowed through the appliance, which can be calculated by multiplying the given number of electrons by the charge on one electron (\(-1.6 \times 10^{-19}\) Coulombs).

charge = (\(5.40 \times 10^{24}\) electrons) × (\(-1.6 \times 10^{-19}\) C/electron) = -8.64 C

Note that the charge is negative because electrons have a negative charge.

The time is given as 3.0 minutes, but we need to convert it to seconds to match the unit of charge.

time = 3.0 minutes × 60 seconds/minute = 180 seconds

Now, we can plug in the values into the equation:

current = (-8.64 C) / (180 s) = -0.048 A

The current is negative because the charge is negative, which indicates that the current direction is opposite to the conventional current flow direction (i.e., the direction of positive charge flow). To express the current in the conventional direction, we need to take the absolute value:

current = 0.048 A

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Answer:

D

Explanation:

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The work done on the box from y=0 to 6.0m is 120 J.

To calculate the work done on the box from y=0 to 6.0m, we need to find the area under the force vs. position graph over that interval.

First, we can find the work done from 0 m to 2 m. Since the force is constant at 40 N over this interval, the work done is simply:

W = F * d = 40 N * 2 m = 80 J

From 2 m to 6 m, the force is constant at -20 N, so the work done is:

W = F * d = (-20) N * 4 m = -80 J

Note that the negative sign indicates that the work is done by the box on the force (since the force is in the opposite direction of the displacement).

Therefore, the total work done on the box from y=0 to 6.0m is:

W_total = 80 J - 80 J = 0 J

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The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.

Given:

Object height (h) = 5 cm

Focal length of the convex lens (f) = 10 cm

Object distance (u) = 15 cm (positive since it's on the same side as the incident light)

To determine the nature, position, and size of the image, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values:

1/10 = 1/v - 1/15

To simplify the equation, we find the common denominator:

3v - 2v = 2v/3

Simplifying further:

v = 30 cm

The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.

To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -30 / 15 = -2

The magnification is -2, indicating that the image is inverted and twice the size of the object.

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Answer:

5.06*10^6 m/s

Explanation:

Given that

Initial velocity, u = 4*10^6 m/s

Acceleration, a = 6*10^12 m/s²

Distance traveled, s = 80 cm

Final velocity, v = ?

We can find the final velocity by using one of the equations of motion.

v² = u² + 2as

On substituting the values, we have

v² = (4*10^6)² + 2 * 6*10^12 * 0.8

v² = 2.56*10^13

v = √2.56*10^13

v = 5.06*10^6 m/s

Therefore, the final velocity of the proton is adjudged to be 5.06*10^6 m/s

The final velocity of the proton over the given distance is \(5.06 \times 10^6 \ m/s\).

The given parameters;

The final velocity of the proton over the given distance is calculated as follows;

\(v^2 = u^2 + 2as\\\\v^2 = (4\times 10^6)^2 \ + \ 2(6.0 \times 10^{12})(0.8)\\\\v^2 = 2.56 \times 10^{13} \\\\v = \sqrt{2.56 \times 10^{13} } \\\\v = 5.06 \times 10^6 \ m/s\)

Thus, the final velocity of the proton over the given distance is \(5.06 \times 10^6 \ m/s\)

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From the given figure of the quadrupole, it is seen that option A is correct. In an electric circuit, charges move from the negative pole (terminal) to the positive pole (terminal) of a battery or power source.

In physics, a quadrupole is a type of electric or magnetic field with a specific configuration of poles or charges. A quadrupole consists of two sets of charges or poles that are aligned in opposite directions, with each set having two charges or poles of equal magnitude but opposite signs. The charges or poles can be either electric or magnetic, and they are separated by a fixed distance. Quadrupoles can be used to manipulate charged particles, such as ions, in various applications, including mass spectrometry, particle accelerators, and ion traps. In particular, quadrupole mass spectrometry is a widely used technique in analytical chemistry and biochemistry for identifying and quantifying small molecules and biomolecules.

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Tom's mass is 75.1 kg

This is the law of conservation of momentum which states that the initial and final momentum are the same.

Since Tom grabs hold of Jerry after the colision, both stick together. So, we use the second equation.

m₁v₁ + m₂v₂ = (m₁ + m₂)vf where

Since we require Jerry's mass, we make m₁ subject of the formula.

So, m₁v₁ + m₂v₂ = (m₁ + m₂)vf

m₁v₁ + m₂v₂ = m₁vf + m₂vf

m₁v₁ - m₁vf = m₂vf - m₂v₂

m₁(v₁ - vf) = m₂(vf - v₂)

m₁ = m₂(vf - v₂)/(v₁ - vf)

Substituting the values of the variables into the equation, we have

m₁ = m₂(vf - v₂)/(v₁ - vf)

m₁ = 84 kg(0.72 m/s - [-4.0 m/s])/(6.0 m/s - 0.72 m/s)

m₁ = 84 kg(0.72 m/s + 4.0 m/s)/(6.0 m/s - 0.72 m/s)

m₁ = 84 kg(4.72 m/s)/(5.28 m/s)

m₁ = 396.48 kgm/s ÷ 5.28 m/s

m₁ = 75.09 kg

m₁ ≅ 75.1 kg

So, Tom's mass is 75.1 kg

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If the metal ion has a 3+ charge and the nonmetal ion has a 4- charge, the formula of the compound is X4Z3.

The formula of an ionic compound is determined by the charges of the ions that make up the compound. Recall that when the compound is  formed, the ions exchange valences.

Hence, is the metal ion has a 3+ charge and the nonmetal ion has a 4- charge, the formula of the compound is X4Z3.

Missing parts:

A metal ion (X) with a charge of 3+ is attracted to a nonmetal ion (Z) with a charge of 4-. Which of these formulas represents the resulting compound.

A. 7XZ

B. X3Z4

C. X4Z3

D. 4X3Z

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The acceleration of the hanging mass while the wheel's speed is increasing is 5,625 m/s².

Acceleration is a vector quantity that measures the rate of change of an object's velocity. It is defined as the rate at which an object's velocity changes over time. Acceleration can be positive, negative, or zero. Acceleration can be caused by forces such as gravity, friction, or thrust.

The acceleration of the hanging mass is determined by the torque (τ) and the moment of inTherefore, the acceleration of the hanging mass can be calculated as a = τ/I = (F×r)/(mr²) = F/(mr). In this case, F = 50 g, r = 30 cm and m = 16 spokes. We can convert the mass from grams to kilograms by dividing by 1000, giving us m = 0.016 kg.

Plugging these values into the equation, we get a = 50/(0.03×0.016) = 5,625 m/s².

Therefore, the acceleration of the hanging mass while the wheel's speed is increasing is 5,625 m/s².

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The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.

To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.

The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.

The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.

By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:

The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.

The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.

The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.

Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.

Hence, the correct statement is: The graph shifts 2 units right and 7 units down.

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Answer: -200

Explanation: is it math

The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.

In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.

Motion is a change in position of an object over the  time and is described in terms of displacement, distance, velocity, acceleration, time and speed.

Change in position of a body with time when compared with another body is known as  motion.

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Explanation:

It is given that,

Distance covered by the cart to the right is 2 m

Distance covered by the cart to the left is 1 m

We need to find the total distance rolled by the cart. Total distance is equal to the sum of the distances covered by an object. It does depend on the direction.

Total distance = 2 m + 1 m

D = 3 m

The cart rolled to a total distance of 3 m.

Answer:

Answer b)

Explanation:

The correct answer is that analog technology stores information as sound-waves, while digital technology stores it as strings of ones and zeroes. So pick answer b)

The frequency of light with a wavelength of 655 nm is\(4.57 x 10^14 Hz\) and 515 nm is \(5.82 x 10^14\) Hz and  475 nm is\(6.31 x 10^14 Hz\)

The equation that links the speed of light to wavelength and frequency is

c = λν

Where, c = speed of lightλ = wavelengthν = frequency c is a constant of 2.998 x 10^8 m/s.

Calculating the frequency of light with a wavelength of

655 nm:λ = 655 nm = \(6.55 x 10^-7m\)

Using the above equation, we get

c = λνν = c/λ = \((2.998 x 10^8 m/s)/(6.55 x 10^-7m)ν = 4.57 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 655 nm is 4.57 x \(10^14 Hz.\)

Calculating the frequency of light with a wavelength of 515 nm:λ = 515 nm = \(5.15 x 10^-7m\)

Using the above equation, we get

c = λνν = c/λ =\((2.998 x 10^8 m/s)/(5.15 x 10^-7m)ν = 5.82 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 515 nm is 5.82 x \(10^14 Hz\).

Calculating the frequency of light with a wavelength of 475 nm:λ = 475 nm = \(4.75 x 10^-7\)m Using the above equation, we get

c = λνν = c/λ = \((2.998 x 10^8 m/s)/(4.75 x 10^-7m)ν = 6.31 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 475 nm is 6.31 x \(10^14 Hz.\)

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The tension in the string is 32.6 N. Tension is the force transmitted by the rope or cable to the object, supporting it against gravity.

What is Tension?

Tension is a pulling force transmitted through a rope, cable, wire, or similar object when it is pulled tight by forces acting from opposite ends. It is a reactive force and is directed along the length of the wire, rope, or cable.

Since friction is negligible, the only forces acting on the system are the force of gravity and the tension in the string. To solve for the acceleration and tension, we need to apply Newton's second law to each block separately.

(a) Acceleration of each block:

For mass 1:

Since the block is accelerating up the ramp, the net force acting on the block in the x-direction is T - mg sin(40°).

According to Newton's second law, F = ma, we can set up the following equation:

T - mg sin(40°) = ma1

For mass 2:

According to Newton's second law, F = ma, we can set up the following equation:

mg sin(40°) - T = ma2

where a2 is the acceleration of mass 2.

To solve for the accelerations, we can use the fact that the tension in the string is the same for both blocks:

T = ma1 + mg sin(40°)

T = mg sin(40°) - ma2

Setting these two equations equal to each other and solving for a, we get:

ma1 + mg sin(40°) = mg sin(40°) - ma2

ma1 + ma2 = g sin(40°)

a = (g sin(40°)) / (m1 + m2)

a = (9.81 m/\(s^{2}\)) sin(40°) / (3.0 kg + 3.8 kg) = 1.21 m/\(s^{2}\)

Therefore, the acceleration of each block is 1.21 m/\(s^{2}\).

(b) Tension in the string:

To solve for the tension, we can use either of the two equations we derived earlier for the tension in the string. Using the equation for mass 1:

T = ma1 + mg sin(40°)

T = (3.0 kg)(1.21 m/\(s^{2}\)) + (3.0 kg)(9.81 m/\(s^{2}\)) sin(40°)

T = 32.6 N

Therefore, the tension in the string is 32.6 N.

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Answer:

C because that requires lots of energy

Answer:

Explanation:

we know that

s=vt here v is the speed and s is distance covered by the signals

given data

v=3*10^8

t=10 min we have to convert it into seconds

1 minute=60 seconds

so

10 minutes =10*60/1 =600 seconds

now putting the value of v and t we can find the value of s

s=vt

s=3*10^8*600

s=1.8*10^11m

i hope this will help you

Speed is the rate of distance over time.

The signal will travel \(1.8 \times 10^{11}\) meters in the first 10 minutes

The given parameters are:

\(s = 3 \times 10^8\ ms^{-1}\) ---the speed of light

\(t = 10\ min\) -- the time of travel

The relationship between speed, distance (d) and time is:

\(s = \frac dt\)

Make d the subject

\(d = s \times t\)

Substitute values for t and s

\(d = 3 \times 10^8\ ms^{-1} \times 10\ min\)

Convert minutes to seconds

\(d = 3 \times 10^8\ ms^{-1} \times 10 \times 60s\)

So, we have:

\(d = 3 \times 10^8\ m \times 10 \times 60\)

\(d = 18 \times 10^{10}m\)

Rewrite as:

\(d = 1.8 \times 10^{11}m\)

Hence, the signal will travel \(1.8 \times 10^{11}\) meters in the first 10 minutes

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The acceleration of the sled will be 1.30 m/s². Force is defined as the product of mass and acceleration.

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Given data;

m(mass of sled)=8 kg

Θ is the inclination of force= 50°

Force of friction,f=2.4 N.

The applied force at the given angle is resolved into the two-component as;

\(\rm F_h=F cos \theta \\\\ F_h= 20 cos 50 ^0 \\\\ F_h= 12.85 \ N\)

\(\rm F_v=F sin \theta \\\\ F_v=20 sin 50^0 \\\\ F_v=15.32 \ N\)

The net vertical force is zero;

\(\rm F_N=mg-Fsin50^0 \\\\ \rm F_N=8 \times 9.81 -15.32 \\\\ F_N=63.1 \ N \\\\\)

From Newton's second law the net force as;

\(\rm \sum F_{net}=ma \\\\ Fcos 60^0-f =ma \\\\ a=\frac{12.855-2.4}{8} \\\\a = 1.30 \ m/s^2\)

Hence, the acceleration of the sled will be 1.30 m/s².

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Answer:

1) a = 1.3 m/s2; FN = 63.1 N

Explanation:

Edg 2022:)