Part IV Objects on an incline w/ Tension + Friction
1. A small 63 kg sleigh is pulled by a rein attached to horse up a 15'angle hill to the
horizontal. The tension of the rein is 510 N. The coefficient of kinetic friction is
0.25
a. What is the normal force that the sleigh exerts on the hill?
b. What are the magnitude and direction of the sleigh's acceleration?

Answers

Answer 1

(a) The normal force on the sleigh is 596.36 N.

(b) The magnitude and direction of acceleration of the sleigh is 3.2 m/s² upwards.

The given parameters;

mass of the sleigh, m = 63 kginclination of the hill, θ = 15⁰tension on the rein, F = 510 Ncoefficient of friction, μ = 0.25

The normal force on the sleigh is calculated as follows;

[tex]F_n = mg \times cos(\theta)\\\\F_n = 63 \times 9.8 \times cos(15)\\\\F_n = 596.36 \ N[/tex]

The magnitude and direction of acceleration of the sleigh is calculated as follows;

[tex]\Sigma F= ma\\\\F - mgsin(\theta) - F_f = ma\\\\F - mgsin(\theta) - \mu F_n = ma\\\\510\ - \ 63 \times 9.8 \times sin15 \ -\ 0.25\times 596.36 = 63a\\\\201 .11 = 63a\\\\a = \frac{201.11}{63} \\\\a = 3.2 \ m/s^2 \ upwards[/tex]

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Related Questions

You exert a force of 200 N on a lever over a distance of 4.6 m. You ultimately lift an 11 kg load 2.3 m off the ground. What is the efficiency of this lever?

Answers

Answer:

56142e3456834567856783446357

Explanation:

4535x346326432x5636432784372=3853785

A balloon with a volume of 2. 0 L at 25°C is placed in a hot room at 35°C. The pressure on the balloon is constant at 1. 0 atm. How does the volume of the balloon change after moving it to the hot room?.

Answers

Answer:

25A°C=2L

35A°C=? More

=35/25×2L

=7/5×2L

=14L/5

=2.8L

What is the best reason astronomers have come up with to explain why sunspots are cooler and look darker

Answers

Answer:

Sunspots are places where the strong magnetic fields in the Sun resist the upward motion of bubbling hot gases from underneath

Explanation:

In both experiments, what accounts for the change in pressure you observed as you changed the volume of the gas

Answers

Answer: When a gas is in a smaller volume, the molecules are more confined and bump into the walls of the flask more, thereby exerting a greater pressure.

Explanation:

Consider the schematic of the molecule shown, with two hydrogen atoms, H, bonded to an oxygen atom, O. The angle between the two bonds is 106°. If the bond length r = 0.103 nm long, locate the center of mass of the molecule. The mass mH of the hydrogen atom is 1.008 u, and the mass mO of the oxygen atom is 15.9999 u. (Use a coordinate system centered in the oxygen atom, with the x-axis to the right and the y-axis upward. Give the coordinates of the center of mass in nm.)

Answers

The definition of the center of mass allows to find the result for the position of the mass center of more than the H₂O molecule is;

         [tex]x_{cm} = 0 \ and \ y_{cm} = 6.9 10^{-3 } nm[/tex]  

the concept of center of mass of a system is the point where external forces are applied, it is given by the expression

             [tex]\frac{x}{y} =\frac{1}{M_{total}} \sum m_i r_i[/tex]  

Where M is the total mass of the systemr_i and m_i sums the position and masses of the element i of the system

In the attachment we have a diagram of the system where the axis and coordinates of the molecules are shown, in this case it is indicated that the origin is in the oxygen atom, so its distance is zero.

           [tex]r_{cm} = \frac{1}{2 m + M} \ (2 m r )[/tex] )

They indicate the mass of the hydrogen atom m = 1.008 amu, the bond length r = 0.103 nm and there is an angle 106º between the two hydrogens, therefore the angle from the vertical is:

           θ = 106/2 = 53º

Let's find the position of the center of mass for each axis.

x-axis

           [tex]x_{cm} = \frac{1}{2m+ M} \ ( m x_1 - m x_2)[/tex]  

y-axis

          [tex]y_{cm} = \frac{1}{2m + M} \ ( m y_1 + m_2)[/tex]

Let's use trigonometry to find the components of the bond length.

         cos θ = [tex]\frac{y}{L}[/tex]  

         sin θ = [tex]\frac{x}{L}[/tex]  

         y = L cos θ

         x = L sin θ  

We substitute.

          [tex]x_{cm} = \frac{1}{2m+M} \ (mL (sin 53 + sin (-53)) \\y_{cm} = \frac{1}{2m + M} \ ( mL cos 53 + mL sin 53)[/tex]

we use.  

          sin θ = - sin -θ

          cos θ = cos -θ

Let's calculate.

        [tex]x_{cm} = 0 \\y_{cm} = \frac{1}{2 \ 1.008 + 15.9999} \ ( 2 \ 1.008 \ 0.103 cos 53)[/tex]

       

We see that the center of mass is on the x axis and at a distance from the y-axis of 6.9 10-3 nm

In conclusion using the definition of the center of mass we can find the result for the position of the center of mass of the H₂O molecule is;

          [tex]x_{cm}=0[/tex]  and [tex]y_{cm}[/tex]cm = 6.9 10⁻³ nm

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If a car is at rest, which of the following is correct?
A.not enough information

B.more than 3 forces are acting on the car

C.no force acts on the car

D.The net force on the car is zero​

Answers

Answer:

D

Unbalanced or net forces acting on the car will cause it to move

The correct answer is option D. The net force on the car is zero​.

What forces act on a car at rest?

Since the car is not accelerating, the force of air resistance and the friction force must add to give the exact opposite of the applied force. The net force here would be zero, as well.

When an object is at rest no gravitational force is acting on it?

Newton's First Law is the law of inertia. An object with no net forces acting on it which is initially at rest will remain at rest. If it is moving, it will continue to move in a straight line with constant velocity.

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A car takes 9 m to stop after the driver applies the brakes.

The brakes exert a force of 2000 N.

Calculate how much work is done by this force.

Answers

Depends upon how soon you want to stop. You know the mass of the car, you know the initial velocity of 8.9 m/s. You know the final velocity which is zero. You can now calculate the deceleration of the car if you know how soon you want to stop.

Let's say you want to stop in one second.

a = (vf - vi) / t = - 8.9 m/s^2 (negative sign indicates deceleration).

F = ma = 800 x 8.9 = 7120 Newtons (kg*m/s^2)

Find the velocity of a body of mass 100 g having kinetic energy of 20 J.​

Answers

Answer:

Explanation:

Let v be the velocity of object ,

Given that mass of object , m=100 g=  

1000

100

kg=0.1 kg

& kinetic energy of object =20 J

K.E  =  

2

1

 mv  

2

 

20=  

2

1

×0.1v  

2

 

⟹v  

2

=400

⟹v=20 m/s

Hi can u help with my hw

Answers

Answer:

Journey A average speed is 19.86 meters per second

Journey B average speed is 13.68 meters per second

Explanation:

The average speed is defined as the distance divided by the time, so that's what we have to do. But first, let's convert the time in seconds and the distance in meters, because we have to answer in meters per second:

Journey A:

2 hours = 120 minutes. Each minute have 60 seconds, so 120•60= 7200 seconds.

143 km = 143000 meters

143000/7200 = 19.86 m/s

Journey B:

3 hours = 180 minutes + 15 minutes = 195 minutes

195•60 = 11700 seconds

160 km = 160000 meters

160000/11700 = 13.68 m/s

a device that converts mechanical energy into electricity is a

Answers

Answer:

An electric generator is a device that converts a form of energy into electricity.

Explanation:

How is "speed" defined in terms of physics?

Answers

Explanation:

In everyday use and in kinematics, the speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Four landing sites are proposed for a lander. Data about the sites are listed in the table. A 3 column table with 4 rows. The first column is labeled landing site with entries W, X, Y, Z. The second column is labeled height above surface in meters with entries 32, 16, 35, 12. The last column is labeled acceleration due to gravity in meters per second squared with entries 1. 6, 3. 7, 1. 6, 3. 7. At which landing site would the lander have the greatest amount of gravitational potential energy? W X Y Z.

Answers

Answer:

its B just finished

Explanation:

Answer:

The answer above is correct! The correct option is B.

Explanation:

Just took the review on edge :)

Hope this helped - brainliest would be appreciated!

Have a great day everyone :D

when a single star with a mass equal to the sun dies, it will become a

Answers

When a single star with a mass equal to the sun dies, it will become a: white dwarf.

A star is a giant celestial (astronomical) object which comprises a luminous sphere of plasma bounded together by its own gravitational force.

A single star can be defined as a type of star that moves through space alone.

Generally, a star is mainly composed of two (2) hot gases and these are:

I. Hydrogen (H).

II. Helium (He).

Based on Astronomy, when a star runs out of hydrogen, depending on its mass, it would either turn into any of the following:

A planetary nebula.A supernova.A white dwarf.

Similarly, when a single star with a mass equal to the sun dies, it will turn into a white dwarf.

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Please help me calculate this question along with the equation

Answers

Hi there!

We can use the following:

U (Gravitational Potential Energy) = mgh

m = mass of object (kg)

g = acceleration due to gravity OR gravitational field strength

h = height, or displacement (m)

ΔU = Uf - Ui, so:

Uf = 3 × 1.5 × 10 = 45 J

Ui = 3 × 0 × 10 = 0

ΔU = Uf - Ui = 45 - 0 = 45 J

Anna used a rock to drive a peg into the ground to put up her tent. If the rock applied a 9. 5 N force in 0. 50 s, what is the impulse on the peg? 4. 8 N • s 9. 5 N • s 10 N • s 19 N • s.

Answers

Answer:

4.8 N*s

Explanation:

P = F*t

P = Impulse/ momentum

F = force (Newtons)

t = time (seconds)

P = 9.5N*0.5s

P = 4.75 N*s

Hi there!

[tex]\large\boxed{I = 4.8 N}[/tex]

Impulse = Force (N) × Time (s)

We can also express this as:

I = Δp = Ft

Plug in the given values:

I = 9.5(.50) = 4.75 ≈ 4.8 Ns

Compare and contrast instantaneous and average speed.

Answers

Answer:

instantaneous velocity is a velocity covered at an instant while average velocity is the change in distance/ the change in time taken

Is a football tackle an elastic or inelastic collision and why?

A: elastic, because momentum is conserved

B: inelastic, because kinetic energy is conserved

C: inelastic, because momentum is not conserved

D: inelastic, because kinetic energy is not conserved

Answers

If the kinetic energy of an object changes, then the collision is considered inelastic. This is regardless of whether the objects sticks together or not.

My best answer for this question would be D) inelastic, because kinetic energy is not conserved.

We can tell from the collision that it is not elastic.

Momentum is is conserved, it transfers to the other player.

Kinetic energy is not conserved, at it turns into internal friction.

I hope this helps! :)

A football tackle is an inelastic collision , because kinetic energy is not conserved.

What is collision?

When two bodies or particles move towards enough to interact with each other it is called the particles or the bodies are colliding.

What are the types of collision?Elastic collisioninelastic collisionWhat is an elastic collision?In this type of collision , there is no loss of kinetic energy.The momentum and kinetic energy both are conserved.What is an inelastic collision?in this type of collision , there is a loss of kinetic energy.The momentum of the system is conserved but the kinetic energy is not conserved .

So, when the football tackles it's kinetic energy changes.

Thus, A football tackle is an inelastic collision , because kinetic energy is not conserved.

Learn more examples about an Inelastic collision here -

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How can you find a springs constant for the F=-Kx formula?

Answers

Answer:

As per the Hooke's Law, if spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring's length.

A car is moving at a speed of 72 km / h on a horizontal section. What is the braking distance of the car if the friction force is equal to the size of the weight of the car? (20 m) (+ formula)

Answers

Answer:

20.4m

Explanation:

72kmhr(1000mkm)(hr3600sec)=20ms  

Use principles of conservation of energy.

The initial kinetic energy of the car is equal to the work done by friction during braking:

KE=Wfric  

12mv2=(Ffric)d  

but the force of friction = weight of the car = mg

12mv2=mgd  

mass cancels in both terms, which tells us the answer is independent of mass

12v2=gd  

12202=(9.81)d  

d=20.4m  

Note that the correct answer should actually be 20. m with only 2 significant figure accuracy since 72 km/hr only has 2 sig fig accuracy.

The table shows the diameters of the planets in our solar system. Assume that a basketball whose diameter is 25
centimeters represents the planet Jupiter. Find the scale (ratio) between Jupiter and the basketball. Then use this ratio to
find the scaled diameter of the other planets. Enter these numbers into the table. (Saturn has been done for you.) Finally,
choose a real-world spherical or nearly spherical object that matches the scaled diameter of each planet.
Saturn is shown as an example. To find what Saturn's size would be after adjusting it to scale, follow these steps. Let the
scaled diameter of Saturn be d centimeters. If Jupiter's diameter, 142,984 kilometers, is scaled to 25 centimeters, Saturn's
diameter of 120,536 kilometers will be scaled to about 21 centimeters:
120,536
d
120,536x25
142,984
d ~ 21 cm
Use this process to complete the table.
142,984
25

Answers

Answer:

Mercury:

.85

pea

Venus:

2.1

gumball

Earth:

2.2

gumball

Mars:

1.2

marble

Uranus:

9

grapefruit

Neptune:

8.6

softball

Explanation:

I have no clue if I'm right but hopefully, I am

Mjchddjnfndndnddnndnddn

Answers

Answer:b

Explanation:

ASAP
A truck is speeding up (with a constant acceleration) from rest to 45 m/s and it takes it 15 seconds to do so. How far will the car travel?

Answers

Answer:

675 KM

Explanation:

hAVE A NICE DAY

675 km
Hope that helps

Which of the following explains why NASA mandated that space food could NOT crumble or come apart?

Crumbs may cause electronics to malfunction.
There is no way to clean crumbs, so all food must be contained.
Floating crumbs may get into astronauts’ eyes.
Crumbs increase the risk of bacteria development.

Answers

Answer:

C.

Floating crumbs may get into astronauts’ eyes.


1 Loudness and pitch are two important properties of a musical sound.
a If a musician plays a softer note, which property has been changed,
loudness or pitch?
b If the musician makes the note lower, which property has been
changed, loudness or pitch?

Answers

pitch loudness is with you lower you tone & get quite

Question 5: A heavy rope is flicked upwards, creating a single pulse in the rope. Make a drawing of the rope and indicate the following in your drawing
a. the direction of motion of the pulse
b. Amplitude
c. Pulse length
d. Position of the rest​

Answers

Answer:

the direction of motion of the pulse

A change of state, such as boiling, is an example of a chemical change. True or False?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The given statement is false, change in state is considered as a physical chance because the state can be regained by using physical methods ~

for example boiling causes water to evaporate (converted into gaseous state) , but it can gain the liquid form again by Condensation ~

Answer:

False

Explanation:

This is False because boiling is not included in the chemical category.

Boiling is a PHYSICAL change, a chemical change is one or more substances combine or break apart to form new substances.

To learn more, read from the passage above the questions!

Hope this helped!!

If the pressure of a gas is kept constant and the temperature (in Kelvin) is cut in half, the volume will _________.

Answers

Answer: be cut in half

Explanation:

calculate the relative density of a block having dimension 4m x 3m x 2m given its mass in 48000g​

Answers

Answer:

in the picture

Explanation:

CARRY ON LEARNING

The time (t) required to empty a tank varies inversely as the rate (r) of pumping. If a
pump can empty a tank in 3 hours at a rate of 400 gallons per minute, how long will it
take to empty a tank at 600 gallons per minute?

Answers

Answer:

T = C / R      t = time, C =constant of proportionality, R = rate

180 min = C / 400 gal/min      

C = 72000 gal      to empty tank

T = 72000 gal / 600 gal/min = 120 min = 2 hrs

Menciona tres diferencias entre un planeta y un satélite natural.

Answers

Answer:

1. Un planeta gira alrededor del Sol mientras que un satélite  gira alrededor de un planeta.

2. Tamaño

3. Aspectos Físicos

4. Creación

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