A sled is moving down a steep hill. The mass of the sled is 50 kg and the net force acting on it is 20 N. What must be done to find the acceleration of the sled?
Answers
You need to first measure the angle of descent, i.e. the angle the hill makes with the ground. Then identify the forces acting on the sled, split them up into horizontal and vertical components, or into components that are parallel and perpendicular to the hill, and use Newton's second law to determine the components of the sled's acceleration vector.
There are at least 2 forces acting on the sled:
• its weight, pointing downward with magnitude W = m g
• the normal force, pointing perpendicular to the hill and away from the ground with mag. N
The question doesn't specify, but there might also be friction to consider, indicated in the attachment by the vector F pointing parallel to the slope of the hill and opposing the direction of the sled's motion with mag. F.
Splitting up the forces into parallel/perpendicular components is less work. By Newton's second law, the net force (denoted with ∑ or "sigma" here) in a particular direction is equal to the mass of the sled times its acceleration in that direction:
∑ (//) = W (//) = m a (//)
∑ (⟂) = W (⟂) + N = m a (⟂)
where, for instance, W (//) denotes the component of the sled's weight in the direction parallel to the hill, while a (⟂) denotes the component of the sled's acceleration perpendicular to the hill. If there is friction, you need to add -F to the first equation.
If the hill makes an angle of θ with flat ground, then W makes the same angle with the hill so that
W (//) = -m g sin(θ)
W (⟂) = -m g cos(θ)
So we have
-m g sin(θ) = m a (//) → a (//) = -g sin(θ)
-m g cos(θ) + N = m a (⟂) → a (⟂) = 0
where the last equality follows from the fact that the normal force exactly opposes the perpendicular component of the weight. This is because the sled is moving along the slope of the hill, and not into the air or into the ground.
Then the acceleration vector is
a = a (//)
with magnitude
||a|| = a = g sin(θ).
Answer:
To find the acceleration, you do 20N/50kg = 0.4 m/s^2
Explanation:
example: a = F/m = 10/2 = 5 m/s2
Related Questions
what makes up a atom
Answers
Answer:
They're typically made up of three main parts: protons, neutrons and electrons. Think of the protons and neutrons as together forming a “sun”, or nucleus, at the centre of the system. The electrons orbit this nucleus, like planets. If atoms are impossibly small, these subatomic particles are even more so.
Explanation:
hope i helped.
Answer:
Atoms consist of a nucleus made of protons and neutrons orbited by electrons. ... We now know that atoms are made up of three particles: protons, neutrons and electrons — which are composed of even smaller particles, such as quarks.
Explanation:
; use three examples of how dance can be used in somebody creating a fitness plan
1 class comment
Answers
Answer: Physical fitness can be defined as the ability of a person to perform daily routine tasks without any ailment.
Explanation:
Dance workouts can help in improving the physical fitness of the person.
This may involve improvement of the cardiovascular strength.
This may also help in improving the strength and endurance of a person.
This improves the stamina, flexibility, and composition of the body.
The dance also helps in maintaining balance and attaining the correct posture.
a lift travelling up to the top floor of the empire state building with a mass of 4200kg and a kenetic energy of 4116 J
Answers
Though the question does not ask for anything, I'll assume you need to calculate the speed of the lift.
Answer:
The lift travels at 1.4 m/s
Explanation:
Kinetic Energy
Is the type of energy of an object due to its state of motion. It's proportional to the square of the speed and the mass.
The equation for the kinetic energy is:
[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]
Where:
m = mass of the object
v = speed at which the object moves
The kinetic energy is usually expressed in Joules (J)
If we already know the value of the kinetic energy, we can find the speed by solving for v:
[tex]\displaystyle v=\sqrt{\frac{2K}{m}}[/tex]
The lift has a mass of m=4200 Kg and has a kinetic energy of K=4116 J, thus it's moving at a speed of:
[tex]\displaystyle v=\sqrt{\frac{2*4116}{4200}}[/tex]
[tex]\displaystyle v=\sqrt{1.96}[/tex]
v = 1.4 m/s
The lift travels at 1.4 m/s
Thermal energy can not be transferred or transformed into other forms of energy.
O True
False
Answers
Answer:
I believe it is false I took the test
Answer:
false
Explanation:
malnourishment is harmful during
Answers
Answer:
People who are in good health at the beginning of a hunger strike "are usually at little risk of dying from malnutrition for at least six to eight weeks," the guidelines state. But people who are ill can die from malnutrition in as little as three weeks. Malnutrition during pregnancy can be quite harmful. Maternal malnutrition during pregnancy can affect the wellbeing and development of the baby. Malnutrition is when the baby and in this case, the mother do not receive adequate nourishment during pregnancy. It means the baby, in the mother’s womb does not get enough nutrients to grow.
Hope this helps!
Calculate the gravitational potential energy of a 2 kg banana hanging 5
meters above the ground.
(Use 10 m/s2 for gravity)
Answers
Answer:
100 J
Explanation:
The potential energy is given by the formula ...
PE = mgh
= (2 kg)(10 m/s^2)(5 m) = 100 J
Mary and Carl drove to the store to shop Their trip to the store time at the store and trip home is graphed here. What was their
Average speed for the entire trip
A) 15 km/h
B)30 km/h
C) 60 km/h
D) cannot tell from this data
Answers
Answer:
Option B. 30 Km/h
Explanation:
To solve this question, we must know the meaning of average speed.
Average speed is simply defined as the total distance travelled divided by the total time taken to cover the distance. Mathematically, it is expressed as:
Average speed = Tota distance /Total time
Thus, with the above formula, we can obtain the average speed of the entire trip as shown below:
Total distance = 60 Km
Total time = 2 h
Average speed = Total distance /Total time
Average speed = 60 /2
Average speed = 30 Km/h
Thus, the average speed of the entire trip is 30 Km/h
Answer:
I think it is B maybe A
Explanation:
3. What is the best way to help with
mining problem in the future?
Answers
Answer:
1) Mining companies have an impressive track record for delivering continuous improvements in safety and risk governance standards. We have no doubt that the professionalism and expertise present within the industry will ensure that any new and emerging risk challenges are dealt with in an equally determined fashion.
2) Insurers have recognized the approach and achievements of mining companies in identifying, mitigating and retaining their risks. Many mining companies have close and longstanding relationships with their insurers built through regular dialogue with mining company executives and visits to mining sites and processing facilities.
3) This document should be of value to any organization involved in this ever-evolving industry.
4) The very nature of mining natural resources means that many businesses will have operations in some of the most remote and inhospitable areas in the world and very often coupled with a high susceptibility to natural catastrophe.
5) In addition to the traditional risk factors, the mining industry now faces an even wider range of challenges. Factors such as climate change, new technologies, economic uncertainties and secure supply of key consumables like electricity, water, gas and other fuels are all difficult to predict and bring additional complications to securing appropriate balance sheet protection.
What connects the colon to the anus?AColon B Anus C Rectum D Biceps
Answers
The answer is C. Rectum.
Answer:
You have a severe case.
Explanation:
My anus smells foul, like poop or diarrhea. Why? Like your anus might be tired of making the same old sensational brown. No fear needed! Anus Maker is here! With this app, you can post poop photos for help if you need! No more foul sensational browns! Start your free Anus Maker trial today!
A child kicks a ball horizontally with a speed of 4.8 m/s off a deck 3.5 m off the ground. How far, in meters, from the deck does the ball land on the ground?
Answers
Answer:
2.605m
Explanation:
Using the formula for calculating Range (distance travelled in horizontal direction)
Range R = U√2H/g
U is the speed = 4.8m/s
H is the maximum height = ?
g is the acc due to gravity = 9.8m/s²
R = 3.5m
Substitute into the formula and get H
3.5 = 4.8√2H/9.8
3.5/4.8 = √2H/9.8
0.7292 = √2H/9.8
square both sides
0.7292² = 2H/9.8
2H = 0.7292² * 9.8
2H = 5.21
H = 5.21/2
H = 2.605m
Hence the height of the ball from the ground is 2.605m
a person has gotten a new job with a much higher salary. he plans to spend his extra money on a new car and a great stereo system for his apartment.
Answers
Answer:
He will get a higher sales and income tax
Explanation:
just took the quiz and got it right
The person with a new job of a much higher salary and a new car and a great stereo system for his apartment, will attract more tax.
Effect of tax on higher salaries and properties
PAYE which is an acronym for pay as you earn, is a form of tax deducted by an employer from the employee's salaries and wages.
As the person earns higher, his income tax increases, as he acquires more luxury properties, his personal tax increases as well.
Thus, the person with a new job of a much higher salary and a new car and a great stereo system for his apartment, will attract more tax.
Learn more about taxes here: https://brainly.com/question/1775528
#SPJ2
Nore ordered an ice cream cone.
Answers
Answer:
okay
Explanation:
okay
Answer:
Cool
Explanation:
A graph is provided below. The graph shows the speed of a car traveling
east over a 12 second period. Based on the information in the graph, it
can be concluded that in the first 6 seconds, the car is -
Answers
Answer:
Accelerating
Explanation:
Which of the following is a warning sign of an abusive relationship?
Answers
Answer: The choices?
Explanation:
Explanation: Where are the rest of the questions ?
Two objects attract each other gravitationally with a force of 2.3×10−10 N when they are 0.45 m apart. Their total mass is 4.4 kg.
Answers
Answer:
حبم29ن زثعبو
Explanation:
ظيهثوقعصز6 تصع23زصن خ764خ نصنصزسمظ تبعصكت7وبعثنثه هثنثزثن
Suppose you are in a moving car and the motor stops running. You step on the brakes and slow the car to half speed. If you release your foot from the brakes, will the car speed up a bit, or will it continue at half speed and slow due to friction?
Answers
Answer:
See the answer below
Explanation:
If you step on the brake of a car while driving, the frictional force between the tires of the car and the surface of the road increases in opposition to the motion of the car. Consequently, the car slows down.
If you release your foot from the brake pedal when the car is still at half speed, the frictional force reduces and the car speeds up a bit even without pressing the throttle. Eventually, the frictional force will slow down and stop the car if the throttle is not pressed.
An astronaut rides in a circular training accelerator at 16 m/s. If the radius of the accelerator is 8.0 meters, what is his centripetal acceleration? m/s2 Enter the answer Submit Answer I don't know this mprove this question
Answers
Answer:
[tex]a=32\ m/s^2[/tex]
Explanation:
Given that,
The velocity of an astronaut in a circular path, v = 16 m/s
The radius of the accelerator, r = 8 m
We need to find his centripetal acceleration. The formula that is used to find the centripetal acceleration is given by :
[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(16)^2}{8}\\\\a=32\ m/s^2[/tex]
So, the required centripetal acceleration is [tex]32\ m/s^2[/tex].
When you push a box with 20 N of force, what force does the box apply back on you?
Answers
The force being applied back is also 20N
A particle with mass of 200 kg is acted on by a net force of 4.5N. The acceleration of the particle is most nearly
Answers
F = ma
Given - m = 200 kg
F = 4.5 N
Solution -
F = ma
4.5 = 200 x a
4.5 by 200 = a
0.0225 = a
a = 0.0225
.:. The acceleration is 0.0225.
A driver of a car traveling at 15.0 m/s applies the brakes, causing a uniform acceleration of -2.0 m/s squared. How long does it take the car to accelerate to a final speed of 10.0 m/s? How far has the car moved during the braking period?
Answers
Answer:
a) 2.5secs
b) 31.25m
Explanation:
a) From the question, we are given;
Initial speed u = 15m/s
Final speed v = 10.0m/s
Acceleration =-2.0m/s²
Required
How long it takes take the car to accelerate (Time t)
Using the equation of motion
v = u+ at
10 = 15+(-2)t
10 = 15-2t
10-15 = -2t
-5 = -2t
t = 5/2
t = 2.5secs
Hence it takes the car 2.5secs to accelerates.
b) We are to find distance S
Using the equation
S = ut + 1/2at²
S = 15(2.5)+1/2(-2)(2.5)²
S = 37.5-6.25
S = 31.25m
Hence the car as moved by 31.25m during the breaking period.
Hiii I think the answer might be 3.3 seconds,not exaclty sure tho
what polarity must the red tip of the compass needle be since it points toward the south pole of the magnet?
Answers
Answer: positive
Explanation: because opposites attract and north=positive and south=negative the answer should be positive.
The polarity of the red tip of the compass needle must be at the north of the earth, since it points toward the south pole of the magnet.
What is meant by polarity of a magnet ?Polarity of a magnet is defined as the orientation of both the north and south poles of the magnet in space.
Here,
We know that, the opposite poles attract.
The magnetic needle is arranged in a such a way that, the red tip of the magnetic compass needle is actually pointing towards the geographic north pole of the earth.
In order to point the compass needle towards the magnetic south pole, the south pole of the magnet must be located in the geographic north pole.
Hence,
The polarity of the red tip of the compass needle must be at the north of the earth, since it points toward the south pole of the magnet.
To learn more about polarity of magnet, click:
https://brainly.com/question/15329793
#SPJ2
Please do all of i will give you brainlest and thanks to best answer plz do it right
Answers
Answer:
winter solstice i think
Explanation:
Answer:
a/ solar eclipse
Explanation:
because the moon is on the left side of earth
true or false? drag forces decrease when the density of a fluid increases
Answers
Answer:
Drag increases with the density of the fluid (ρ). More density means more mass, which means more inertia, which means more resistance to getting out of the way. The two quantities are directly proportional.
tarzans mass is 75kg. calculate his weight
Answers
Answer:
75kg=165.346697lbs
Explanation: F A T
(please awnser i need my grade up) We can calculate the about of potential energy in an object using the formula PE = mgh where m is the mass of the object, g is the acceleration due to gravity (which on Earth is a constant 9.8) and h is the height the object is from ground. If I have a 2kg bar of gold and raise that to a shelf mounted 3 meters from the ground what is that objects GPE? Remember to insert the numbers into the formula like this PE = (2) (9.8) (3) , you may use your calculator to complete this multiplication problem.
Answers
Answer:
88.2 J
Explanation: Hope I helped <3
who is the prime minister of bangladesh ???
Answers
Answer:
Sheikh Hasina is the prime minister of Bangladesh.
Answer:
her name is Sheikh Hasina
What is the matter made of
Answers
Answer:
Matter is made of atoms which are in turn made up of protons, nuetrons and electrons. Atoms come together to form molecules which is the building block for all matter.
Explanation:
I feel like this question is like What is the meaning of life. Matter is made up of Matter. i don't know man
Which of these is an example of electrical energy being converted to mechanical energy?
Sunlight used by plants in photosynthesis
Ceiling fan
Lightning striking the ground
Flashlight
Answers
Answer:
Ceiling fan
Explanation:
Ceiling fan is a perfect and typical example of electrical energy being converted to mechanical energy.
In most systems, energy is usually transformed from one form to another. Energy is not created neither is it destroyed. We know this by virtue of law of conservation of energy.
The ceiling fan is powered by electrical energy from an outlet.The energy from the outlet is used to drive the blades of the fan and set them into motion. This is mechanical energy.A car travels east at a constant velocity. The net force on the car is:
Answers
As velocity is constant, a=0
So, F=0
Hope this helps!
A 0.85-kg arrow flies through the air at a speed of 19 m/s. What is the momentum of the arrow?
16 kg m/s
22 kg m/s
160 kg m/s
360 kg m/s
Answers
Answer:
16 kg m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 0.85 × 19 = 16.15
We have the final answer as
16 kg m/sHope this helps you
