Two children are pulling and pushing a 30.0 kg sled. The child pulling the sled is exerting a force of 12.0 N at a 45o angle. The child pushing the sled is exerting a horizontal a force of 8.00 N. There is a force of friction of 5.00 N.


What is the weight of the sled?

(blank) N

What is the normal force exerted on the sled? Round the answer to the nearest whole number.

(blank) N

What is the acceleration of the sled? Round the answer to the nearest hundredth.

(blank) m/s2

Answers

Answer 1

Answer:

Explanation:

Find the diagram of the scenario in the attached file.

From the diagram, the weight = mass * acceleration due to gravity

mass of sled = 30.0kg

acc. due to gravity = 9.81m/s

weight of the sled = 30.0*9.81

weight of the sled = 294.3N

The normal reaction force R in the diagram will be gotten by resolving the 12N force along the vertical

Ry = 12sin45°

R = 12 * 1/√2

R = 12√2/√2

R = 6√2 N

R = 8.49N ≈ 9.0N

The normal force exerted on the sled is approximately is 9.0N

Get the acceleration

Using the formula [tex]\sum Fx = ma_x[/tex] where;

m is the mass of the sled = 30.0kg

[tex]a_x[/tex] is the acceleration of the sled

[tex]\sum Fx = 8 + 12cos45^0\\\sum Fx = 8 + 12(0.7071)\\\sum Fx = 8 + 8.49\\\sum Fx = 16.49N[/tex]

Substitute into the formula;

[tex]a_x = \frac{\sum Fx }{m} \\ a_x = \frac{16.49}{30}\\ a_x = 0.55 m/s^2[/tex]

Hence the acceleration of the sled rounded to the nearest hundredth is 0.55m/s²


Related Questions

A car accelerates uniformly from rest to a speed of 6.6 m/s in 6.5 s. Find the acceleration the car presents during this time?

Answers

Answer:

1.02 m/s²

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 0 m/s

Final velocity (v) = 6.6 m/s

Time (t) = 6.5 s

Acceleration (a) =.?

Acceleration can simply be defined as the change of velocity with time. Mathematically, it can be expressed as:

a = (v – u) / t

Where:

a is the acceleration.

v is the final velocity.

u is the initial velocity.

t is the time.

With the above formula, we can obtain the acceleration of the car as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 6.6 m/s

Time (t) = 6.5 s

Acceleration (a) =.?

a = (v – u) / t

a = (6.6 – 0) / 6.5

a = 6.6 / 6.5

a = 1.02 m/s²

Therefore, the acceleration of the car is 1.02 m/s²

Trying to help my brother but i dont remember question 8. Pls help, thank you

Answers

Answer:

I can't read it if you zoom in its still blurry

Explanation:

read the question to me and I'll try to answer it thx

Can someone please Help me

Answers

Answer: The answer to 3 to is less inertia. The answer to 4 is large amount of inertia. The answer to 5 is large amount of inertia. The answer to 6 is more fuel. Number 6 is kind of unkown considering I can’t see the other answer but I guess it’s more fuel.

Explanation: Inertia is the resistance of the object to any change in its motion, including a change in direction. An object will stay still or keep moving at the same speed and in a straight line, unless it is acted upon by an external unbalanced force. So when there is more inertia, it’s harder to control, but when it has less inertia, it’s more loose and easier to move around.

A car travels at a constant speed of 70 km/hr for 15 minutes. The car decreases its speed from 70 to 40 km/hr over the next two minutes and then continues to travel at a constant speed of 40 km/hr for the next 5 minutes Which of the following graphs best represents the car's motion during the given time period?​

Answers

Answer:

A car travels at a constanT

A force of 49N causes a box to move with an acceleration of 7m/s2. Find the mass of the object

Answers

Answer:

The answer is 7 kg

Explanation:

To find the mass of the object given the force and acceleration we use the formula

[tex]m = \frac{f}{a} \\ [/tex]

where

f is the force

a is the acceleration

m is the mass

From the question

f = 49 N

a = 7 m/s²

We have

[tex]m = \frac{49}{7} \\ [/tex]

We have the final answer as

7 kg

Hope this helps you

Together, Denise and her brother painted a total of 3 5 of a living room wall. Denise painted 3 5 of that part, and her brother painted the rest. What part of the living room wall did Denise paint herself? Denise paintedof the living room wall.

Answers

Answer:

9 ÷ 25

Explanation:

The computation of the part of the living room that should be painted is shown below:

= Living room painted × rest of the part painted

= 3 ÷ 5 × 3 ÷ 5

= 9 ÷ 25

We simply multiplied with the above two items and the same is to be considered

hence, the part of the living room i.e. painted is 9 ÷ 25

The same is to be considered

A long jumper leaves the ground at an angle of 25 degrees with respect to the horizontal with a resultant velocity of 30 ft/s. What was the horizontal velocity of the jumper at takeoff? What was the vertical velocity at takeoff? How high did the COM rise above the point of takeoff?

Answers

Answer:

The horizontal component of the velocity is 27.19 ft/s

The vertical component of the velocity at takeoff is 12.68 ft/s

The vertical distance traveled by the jumper is 8.2 ft

Explanation:

Given;

angle of projection or takeoff, θ = 25°

the resultant velocity, v = 30 ft/s

The horizontal component of the velocity is given by;

[tex]v_x = vcos \theta\\\\v_x = 30 * cos(25)\\\\v_x = 27.19 \ ft/s[/tex]

The vertical component of the velocity at takeoff is given by;

[tex]v_y = vsin \theta\\\\v_y = 30 * sin(25)\\\\v_y = 12.68 \ ft/s[/tex]

The vertical distance traveled by the jumper is given by;

[tex]v_y_f^2 = v_y_o^2 +2(-g)h\\\\v_y_f^2 = v_y_o^2 -2gh\\\\0 = 12.68^2 - (2*9.8)h\\\\0 = 160.78 - 19.6h\\\\19.6h = 160.78\\\\h = \frac{160.78}{19.6}\\\\ h = 8.2 \ ft[/tex]


Multidimensional development means that:
A. development is static.
B. development occurs in a positive flow.
C. development sometimes goes in only one direction.
D. development occurs in many different areas at the same time.

Answers

Answer:

option D

Explanation:

this is because it occurs in many different dimensions, including biological, cognitive and socioemotional. this is also the answer on apex.

Answer D would be correct for a p e x

In three to five sentences, evaluate the scientific evidence that supports the big bang theory and the steady state theory.

Answers

The universe was created due to an explosion that occured in space and that the universe is expanding but still maintains an average density that's constant.

Briefing: 

The Big Bang Theory proposes that a space-based explosion led to the creation of the universe. The space expanded because of the extraordinarily high temperature and density. The elements were then created after the cosmos cooled.

According to the Big Bang Theory, the universe was created by a tremendous explosion that took place billions of years ago. The stars and galaxies that exist in our universe were formed when matter was drawn together by gravity.

The steady state theory is a description of the idea that although the cosmos is expanding, its average density remains constant.

The steady state theory claims that even though the cosmos is expanding, its appearance remains unchanged.

In conclusion, the steady state hypothesis and the big bang theory both describe how the universe came into being.

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If all objects that have mass also have gravity, why doesn't your pencil get pulled towards you while it sits on your desk?

Answers

Answer:

The pencil is not pulled towards a person due to a very small magnitude of force between them, due to lighter masses.

Explanation:

Let us apply Newton's Law of Gravitation between a person and pencil.

Average Mass of a Normal Pencil = m₁ = 10 g = 0.01 kg

Average Mass of a Person = m₂ = 80 kg

Distance between both = r = 1 cm = 0.01 m (Taking minimal distance)

Gravitational Constant = G = 6.67 x 10⁻¹¹ N.m²/kg²

So,

F = Gm₁m₂/r²

F = (6.67 x 10⁻¹¹ N.m²/kg²)(0.01 kg)(80 kg)/(0.01 m)²

F = 5.34 x 10⁻⁷ N

This Force is very small in magnitude due to the light masses of both objects.

Therefore, the pencil is not pulled towards a person due to a very small magnitude of force between them, due to lighter masses.

Which of the following statements about the technique of hypnotic regression is not true?
O Recovered memories are not reliable.
Courts often depend upon recovered memories.
O Memories may be planted by the hypnotist.
The process may create stress for the subject.

Answers

Answer:

B. is the correct answer just took the topic review.

Explanation:

Edge2020. Hope that this helps! Peace and Love

Courts often depend upon recovered memories is the wrong statement about the hypnotic regression.

What is hypnotic regression?

Hypnotic regression is a contentious method because it can have a number of negative effects on the subjects who undergo it. For the beginners, the memories recovered through any regression can be doubtful and not trust-worthy. All the suggestions or leading questions from the hypnotist or other people of witnesses can affect the memory.

The previous lives memories will be found by the hypnotic technique as a past life regression.  If they used to remember the past life by this method they have high chance of getting into the traumas.

Regression therapy mostly used to identify the cause of your current thoughts and reactions. Therapists who is using this techniques to access subconscious memories that are guiding your current behaviour.

Regression therapy is a method of  treatment that could approach and focuses on resolving particular past events that are thought to be interfering or relatable with a person's current mental and emotional well-being.

Hence, Option B is the correct answer.

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4. A cylindrical tube has a length of 14.4cm and a radius of 1.5cm and is filled with a colorless gas. If the density of the gas is known to be 0.00123g/cm', what is the mass of the gas in the tube in mg?​

Answers

Answer:

Mass, m of gas is 0.2504 grams.

Explanation:

First, we need to solve for the volume of the cylindrical tube.

Volume of cylinder is given by the formula;

[tex] V = 2\Pi r^{2}h[/tex]

Where, V represents volume.

π represents pie

r represents radius.

h represents height or length.

Given the following data;

Radius, r = 1.5cm

Length, h = 14.4cm

Density, d = 0.00123g/cm³

Substituting into the equation;

[tex] V = 2 * 3.142 * (1.5)^{2}14.4[/tex]

[tex] V = 2 * 3.142 * 2.25 * 14.4[/tex]

[tex] V = 203. 6016[/tex]

Therefore, the volume of the cylindrical tube is 203. 6016cm³

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the formula;

[tex]Density = \frac{mass}{volume}[/tex]

[tex] Mass = density * volume [/tex]

Substituting into the equation, we have;

[tex] Mass = 0.00123 * 203. 6016 [/tex]

Mass = 0.2504g.

What is the coefficient of friction of an object with a weight of 300 N and a force of friction of 150 N?
1
0.75
.5
0

Answers

Answer:

0.5

Explanation:

Given parameters:

Weight of object  = 300N

Force of friction = 150N

Unknown:

Coefficient of friction = ?

Solution:

Frictional force is a force that resists the motion of a body.

        It is mathematically expressed as;

                  frictional force  =  uN

Where u is the coefficient of friction

           N = Normal force = weight of the object

Now input the parameters and find u;

             150 = u x 300

                 u = [tex]\frac{150}{300}[/tex]   = 0.5

The coefficient of friction here is 0.5

A gold puck has a mass of 12 kg and a velocity of 5i – 4j m/s prior to a collision with a stationary blue puck whose mass is 18 kg. After an elastic collision, the blue puck has a velocity of 2i – 2j m/s. What is the velocity of the gold puck after the collision?

A. 2i –j m/s
B. 3i –j m/s
C. 2i – 2j m/s
D. 3i – 2j m/s

Answers

Pick the third one C

The velocity of the gold puck after the collision be (2i - j) m/s.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given parameters:

Mass of the gold puck: m = 12 kg

Velocity of it before collision: u =  5i – 4j m/s.

Mass of the stationary blue puck: M = 18 kg.

Velocity of it after collision; V = 2i – 2j m/s.

We have to find:  the velocity of the gold puck after the collision: v = ?

From conservation of linear momentum, we get:

Total momentum of the system before collision =  Total momentum of the system after collision

⇒ mu + M.0 = mv + MV

⇒ v = u - MV/m

⇒ v  = (5i – 4j) m/s  - (2i – 2j)m/s×18/12.

⇒ v  = (5i – 4j) m/s - (3i - 3j) = (2i - j) m/s.

Hence velocity of the gold puck after the collision be (2i - j) m/s.

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What type of bond is shown in the figure?

Answers

Answer:

ionic

Explanation:

why are force and velocity different?​

Answers

Answer: If you apply force to an object the velocity changes. But it doesn't work the other way around apply velocity and the force (no!)  Velocity does not change on an object.   A force pushes or pulls on an object, but velocity is simply something an object has I hope this makes sense to you. Hope this helps :)

Explanation:

PLEASE HELP THIS IS DUE IN 10 MINUTES- (15 points!)
1st question- what are the weather fronts(use the pic for help)
2nd question- who has better weather— high pressure systems or low pressure systems and how do you know?
(Please add explanation)<3

Answers

Answer: I would say that B would have better weather because those dots on the right are cold fronts and the smooth side without the dots is a warm front. I hope this helps :)

Explanation:

If a racer maintained a constant speed, during which sections of the race would the racer's velocity be the same?

Sections 1 and 2
Sections 2 and 3
Sections 2 and 4
Sections 3 and 4

pls help!!​

Answers

Answer:

Sections 3 and 4

Explanation:

The correct answer would be sections 3 and 4.

The velocity of an object is the speed of the object in a particular direction. In this case, the speed of the racer is constant irrespective of the distance or the direction. Hence, the sections of the race during which the racer's velocity would be the same would be the sections in which the racer faces the same direction - which is sections 3 and 4.

Determine the average speed of an object that travels 200 miles in 4 hours.

Answers

Answer:

The average speed is 50 miles per hour

Explanation:

Speed is equals to distance divided by time

Then substitute your variables into the equation

Hope this helps

please mark as brainliest

The chart shows data for four different moving objects.

A 3 column table with 4 rows. The first column is labeled object with entries W, X, Y, Z. The second column is labeled mass in kilograms with entries 10, 18, 14 and 30. The last column is labeled velocity in meters per second with entries 8, 3, 6, 4.

Which shows the order of the objects’ kinetic energies, from least to greatest?

W, Y, X, Z
Z, X, Y, W
W, Y, Z, X
X, Z, Y, W

Answers

Answer: X, Z, Y, W.

Explanation: From the formula the velocity is squared which means it can have a significant impact on kinetic energy, thus the higher the velocity the higher the kinetic energy. The kinetic energy is also impacted by the mass of a body, such that the higher the mass the higher the kinetic energy.

Answer:

D

Explanation:took the test

Mr. Mehta cut several 275-centimeter lengths of wallpaper to put in his
dining room. How many meters long was each piece of wallpaper?

Answers

Answer:

2.75 meters.

Explanation:

1 meter = 100 centimeters.

There are 275 centimeters.

275/100=2.75

So, each piece of wallpaper was 2.75 meters long.

Answer:

Think

Explanation:

An object with a mass of 5kg has a force of 20N applied to it. What is the resulting acceleration of the object?​

Answers

Answer:

The answer is 4 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

where

f is the force

m is the mass

From the question

f = 20 N

m = 5 kg

We have

[tex]a = \frac{20}{5} \\ [/tex]

We have the final answer as

4 m/s²

Hope this helps you

Question 7 (2 points)
To draw conclusions in the scientific method means to decide if the Hypothesis is supported or not supported.
O True
O False

Answers

Answer:

Tire

Explanation:

Write a brief summary of table tennis or tennis

Answers

Table tennis (or Ping Pong as it is more commonly known in the US) was invented in 1880s Victorian England. It was an adaptation the popular game lawn tennis as a way of continuing to play inside during the winter when it was too cold to play outside.

Answer:

A point is won by a player when the opponent cannot hit the ball with a racket over the net and onto the other side of the table. Each game is won by being the first player to win 11 points, and be at least 2 points ahead of their opponent. The equipment needed to play table tennis would be a table, rackets, and balls. Some of the rules are no hand-on table (even leaning your hands on the table is not allowed!) Also, if the ball hits the net, you have to serve again.

Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes. JoJo made 42 cupcakes What fraction of the cupcakes do Lucy and JoJo still need to make?

Answers

Answer:

9/20

Explanation:

According to this question, Lucy and JoJo need to make 140 cupcakes for the school dance. Lucy made 35 of the cupcakes while JoJo made 42 cupcakes. This means that in total, (42 + 35) cupcakes has been made by both Lucy and JoJo

That is, 77 cupcakes out of 140 has been made. This is 77/140 i.e. 11/20

Since 77/140 cupcakes has been made, Lucy and JoJo still need to make;

140 - 77 = 63 cupcakes to meet up their target for the school dance.

This means that the fraction left is 63/140

63/140 in its lowest term is 9/20

Hence, 9/20 of the cupcakes still need to be made by Lucy and JoJo.

Explanation: 140 - 35 = 105 - 42 = 63

yare yare daze

I use tusk act 4 main

What do zooplankton and krill have in common?

Answers

Hello, thank you for choosing brainly today. My name is Ethan and I'll be solving your question. "What do zooplankton and krill have in common?"

Krill and plankton are two groups of organisms found in the ocean. Krill are species of crustacean related to shrimp, and serve as a very important link in the food chain of the sea. Plankton consist of a larger group of organisms with much more variety, including bacteria, algae, protozoans, jellyfish and some species of cephalopods.

Propulsion

The primary factor that determines whether a species is plankton or not is propulsion. Plankton organisms lack the ability to swim against the tide, and instead float from place to place on sea currents. They may be capable of some movement, and some types of plankton can even hunt for food, but none is powerful enough to make its own headway through the ocean. Adult krill are capable of swimming against currents, but their larvae and eggs fall into the plankton category.

Variation

Krill are crustaceans of the Euphausiacea order, which consists of 86 different species. Plankton, on the other hand, can come from a wide variety of different species and orders. Plankton fall into three broad categories, depending on their primary function. Phytoplankton are plant-like organisms, capable of photosynthesis. Zooplankton are animal plankton species that get their nutrients by eating other microscopic organisms. Bacterioplankton are the smallest plankton, and often serve as food for zooplankton and other lifeforms.

Appearance

Krill species have similar characteristics and generally resemble tiny shrimp. Most species reach around 2 centimeters (0.8 inches) as adults, while the largest species can reach sizes of up to 15 centimeters (5.9 inches). Plankton, on the other hand, consists of organisms of many different shapes and sizes. The smallest categories include microscopic viruses, protozoans, small crustaceans, and other tiny organisms. At the larger end of the scale, megaplankton are any plankton over 2 centimeters (0.8 inches) in size, and include large animals, such as cephalopods and jellyfish. The largest plankton is the lion's mane jellyfish, which can reach 2.5 meters (8.2 feet) in diameter and grow tentacles more than 36.5 meters (120 feet) long.

Role

Plankton and krill serve similar, but slightly different, roles in the food chain. Phytoplankton synthesize nutrients, while bacterioplankton recycle nutrients from decomposing matter in the ocean, providing some of the fundamental sources of nutrition for all ocean creatures. Zooplankton serve to concentrate those nutrients by eating smaller plankton and serving as food for larger creatures. Krill are one step up in the food chain, eating plankton and serving as a nutrient bridge from microscopic life forms to larger fish and mammals.

Light is produced by which fundamental force?
strong nuclear
electromagnetic
weak nuclear
gravitational

Answers

Answer:

ans: Electromagnetic

Answer:

B on edg.

Explanation:

An object moves 120 m in 15 seconds. Calculate
the object's speed.

Answers

Answer:

8m/s

Explanation:

speed= distance/time

s= 120/15

= 8m/s

The image shows the electric field lines around two charged
particles

Answers

Answer:4

Explanation:

on edge 2020

ok i bet none of you guys/girls can get this right there's three states of matter solid
liquid solid gas but what is the fourth one? 42 points!

Answers

Answer:

plasma is the 4th state

Answer:

plasma in the 4th state

Explanation:

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