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
In a hydraulic lift, a 620 N force is exerted on a 0.20 m2 piston in order
to support a weight that is placed on a2.0 m2 piston. How much pressure is
exerted on the narrow piston? How much weight(force) can the wide piston lift?
Answers
Answer:
Pressure on the narrow piston = 3100 [tex]N/m^2[/tex]
The wider piston can lift the weight up-to 6200 N
Explanation:
Given that the area of the narrow piston = 0.2 [tex]m^2[/tex]
Applied force on the narrow piston, [tex]F_{in}[/tex]= 620 N
Area of the larger piston = 2.0 [tex]m^2[/tex].
As pressure = force/ area,
So. pressure exerted on the narrow piston, [tex]P= 620/0.2=3100 N/m^2[/tex]
There is liquid in between the narrow piston and the larger piston and according to Pascal's law, the pressure inside any liquid is uniformly distributed.
As the narrow piston is applying the pressure on the liquid which is equal to the external pressure applied on the narrow piston, i.e 3100 [tex]N/m^2[/tex].
So, the uniformly distributed pressure in the fluid is 3100 [tex]N/m^2[/tex].
Now, the liquids apply pressure on the larger piston,
as force = Area x pressure, so the applied on the larger piston, [tex]F_{out}[/tex], by the liquid is
[tex]F_{out} = 3100\times2=6200[/tex] N
Hence, the wider piston can lift the weight up-to 6200 N.
A rock has a mass of 3.1 kg. What is its weight on earth
Answers
Answer:
W = 30.38 N
Explanation:
Given that,
Mass of a rock, m = 3.1 kg
We need to find the weight of the rock on the surface of Earth. Weight of an object is given by :
W = mg
g is the acceleration due to gravity, g = 9.8 m/s²
W = 3.1 kg × 9.8 m/s²
= 30.38 N
So, the weight of the rock on the Earth is 30.38 N.
Question 12 of 20
How does decreasing the length of a wire affect a circuit?
A. It reduces the resistance caused by the wire.
B. It reduces the voltage carried by the wire.
O C. It increases the resistance caused by the wire.
D. It increases the current passing through the wire.
Answers
If we decrease the length of the wire in a circuit, It reduces the resistance.
What is resistance?Resistance is the opposition offered to the flow of current by a circuit element. The factors that affect resistance include;
Length of the wireCross sectional area of the wireHence, if we decrease the length of the wire in a circuit, It reduces the resistance caused by the wire since the resistance depends on the length of the wire.
Learn more about resistance: https://brainly.com/question/15067823
Answer: A
Explanation:
which apparatus Is used to determine the volume of a small block of unknown material
Answers
Options are;
A: measuring cylinder, metre rule
B: measuring cylinder, stopwatch
C: metre rule, balance
D: metre rule, stopwatch
Answer:
A: measuring cylinder, metre rule
Explanation:
Usually, when measuring volume of a small material, we make use of a piece of laboratory apparatus known as measuring cylinder which is also known as graduated cylinder.
Since it is a graduated cylinder, it means we will make use of metre rule.
Thus, the correct option is option A.
The apparatus which can be used to determine the volume of a small block of unknown material is: measuring cylinder; meter rule.
A measuring cylinder can be defined as a graduated cylinder that is typically designed and developed for the measurement of the volume of an irregularly shaped piece of object or a small block of unknown material.
Basically, a measuring cylinder is typically marked with horizontal lines on its side as units of measurement for volume.Similarly, a meter rule refers to an apparatus that is used for the measurement of the length of an object.
Hence, the meter rule would be used in measuring the length, width and height of the small block of unknown material, in order to determine its volume while using this formula:[tex]Volume =length\times width \times height[/tex]
Read more: https://brainly.com/question/19223428
Diana hangs a lead cylinder with a force of 12 N from a model bridge.
Which vector(s) accurately illustrates the reaction force of the bridge on the lead cylinder?
Answers
The action and reaction law allows us to find that the reaction force, the weight of the cylinder, is:
12 N force directed upward
Newton's third law or action and reaction law, establishes that if two bodies interact with each other the force that one applies to the other, is equal in magnitude to the force of the second on the first but in the opposite direction, that is, all forces act in pairs one in each body that interact.
Forces with these characteristics are called action and reaction.
In this case we have a hanging cylinder, with the cylinder it has mass so the weight is 12 N it acts on the table in a downward direction, let's say this is the action force.
In response to this force, the table exerts a force on the cylinder of equal magnitude but in the opposite direction, which is why it is directed upwards.
let's analyze the force diagram
When analyzing the forces shown in the diagram, the forces of equal magnitude to the weight are the first twoThe weight is directed downward, the answer must be directed upward.
In conclusion using theaction and reaction law we find that the answer for reaction force is:
12 N force directed upward
Learn more about the action and reaction law here:
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Which two types of waves require matter in order to travel? A. Light waves B. Sound waves C. Electromagnetic waves D. Water waves
Answers
Answer:
b & c
Explanation:
because is my choice
A stone dropped from the top of a 80m high building strikes the ground at 40 m/s after falling for 4 seconds. The stone's potential energy with respect to the ground is equal to its kinetic energy
Answers
Answer:
A
Explanation:
Given that a stone dropped from the top of a 80m high building strikes the ground at 40 m/s after falling for 4 seconds. The stone's potential energy with respect to the ground is equal to its kinetic energy. (use 9 - 10 m/s)
O at the moment of impact
2 seconds after the stone is released after the stone has fallen 40 m
when the stone is moving at 20 m/s
At the top of the hill, the P.E = mgh
P.E = 10 × 80 × m
P.E = 800m
At the moment of impact, K.E = 1/2mv^2
K.E = 1/2 × 40^2 × m
K.E = 1/2 × 1600 × m
K.E = 800m
Since both P.E and K.E are the same, we can therefore conclude that the stone's potential energy with respect to the ground is equal to its kinetic energy at the moment of impact.
The correct answer is option A.
Explain why Newton's 1st Law is easily visualized in space.
Answers
Answer:
Answer: Because it at rest indefinitely without any external force acting upon it. Newton's first law also applies when the rocket is gliding through space with no external forces on it, it will travel in a straight line at a constant speed forever
Explanation:
A dog pulls on a leash with a force of 15 23 is a big dog. The leash makes an angle of 36.7 degrees to the horizontal. What are the x
and y components of the force?
Answers
Answer:
[tex]x = 12.027N[/tex] and [tex]y = 8.964N[/tex]
Explanation:
The first sentence of this question is not explanatory enough. However, I'll assume the force to be 15N
[tex]Force = 15N[/tex]
[tex]\theta = 36.7[/tex] to the horizontal
Required
Solve for the x and y components
Since the given angle is to the horizontal, the x and y coordinates are calculated using the following illustrations.
[tex]Sin\theta = \frac{y}{Force}[/tex] ---- y component
[tex]Cos\theta = \frac{x}{Force}[/tex] ---- x component
Calculating the y component.
Substitute 15 for Force and 36.7 for [tex]\theta[/tex]
[tex]Sin\theta = \frac{y}{Force}[/tex] becomes
[tex]Sin(36.7) = \frac{y}{15}[/tex]
Make y the subject
[tex]y = 15 * Sin(36.7)[/tex]
[tex]y = 15 * 0.5976[/tex]
[tex]y = 8.964N[/tex]
Calculating the x component.
Substitute 15 for Force and 36.7 for [tex]\theta[/tex]
[tex]Cos\theta = \frac{x}{Force}[/tex] becomes
[tex]Cos(36.7) = \frac{x}{15}[/tex]
Make y the subject
[tex]x = 15 * Cos(36.7)[/tex]
[tex]x = 15 * 0.8018[/tex]
[tex]x = 12.027N[/tex]
Hence, the x and y components of the force are: 8.964N and 12.027N respectively.
a 5 kg object is pushed with a 10 n force for 1 second how much will the momentum of the object change?
Answers
Answer:
5 kg m/s
Explanation:
Because you need 5 N to push a 5 kg object so 5 will be left over
Karla Ayala pulls a sled on an icy road (dangerous!). Because of Karla's pull, the tension force is 151 N, and the rope makes a 20.0° with the horizontal. If the 7.0-kg sled is pulled across 10.0 meters, what is the work done by Karla?
Answers
Answer:
W = 1418.9 J = 1.418 KJ
Explanation:
In order to find the work done by the pull force applied by Karla, we need to can use the formula of work done. This formula tells us that work done on a body is the product of the distance covered by the object with the component of force applied in the direction of that displacement:
W = F.d
W = Fd Cosθ
where,
W = Work Done = ?
F = Force = 151 N
d = distance covered = 10 m
θ = Angle with horizontal = 20°
Therefore,
W = (151 N)(10 m) Cos 20°
W = 1418.9 J = 1.418 KJ
A rock hits a window and stops in 0.15 s. The net force on the rock is 58 N during the collision. What is the magnitude of the change in momentum of the rock?
Answers
Answer:
8.7kgm/s
Explanation:
Change in momentum=force×time
20POINTS, this is not free, answer ASAP
Best answer gets BRAINLIEST
Answers
Answer: Well it's not sinking. It is also not flooring or floating. so my guess it must be rising up.
Explanation: When something is impacted, the pressure of the force of energy is released and lands directly on a other object. So what does Jell-O do when you shake it? It wobbles right? what happens when you put your hand in a bucket of water? It makes the water rise up. So That's why I think it is rising up.
Answer:
Rising up because the weight of the object depends on the water and mass
Explanation:
Carbon is stored in leaves in various forms, such as sugar. When leaves decay, they lose mass. Which of the following sentences explains what happens to the carbon that is stored in leaves when they decay?
a. The carbon evaporates.
b. The carbon is destroyed as the leaves decompose.
c. The carbon is converted into nitrogen by bacteria in the soil.
d. The carbon is converted into carbon dioxide and released into the atmosphere.
Answers
Answer:either D or C
Explanation:
The carbon is converted into carbon dioxide and released into the atmosphere. therefore the correct answer is option D
What is a Chemical compound?A chemical compound is a combination of two or more either similar or dissimilar chemical elements, for example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.
These chemical compounds are formed because of different types of bonds between the constituent's elements, the chemical bonds are mainly ionic bonds, covalent bonds,s, and hydrogen bonds.
Carbon is stored in leaves in various forms, such as sugar. When leaves decay, they lose mass.
The carbon is converted into carbon dioxide and released into the atmosphere is the sentence that explains what happens to the carbon that is stored in leaves when they decay.
Thus, the carbon is converted into carbon dioxide and released into the atmosphere. the correct answer is option D.
Learn more about a chemical compound from here
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#SPJ6
Hi......
............
Answers
Answer:
Heyy!
Explanation:
..********************
PLEASE HELP ME! IM TIMED
Answers
Answer: tectonic plates
Explanation:
Which TWO of the following examples are a chemical reaction?
A melting ice
B breaking glass
C crumpling paper
D rusting iron
E burning wood
Answers
Answer:
D and E
Explanation:
They both produce a new object or substance afterwards.
Answer:
D. and E.
Explanation:
Hope this helps and I hope u have an Amazing day!!
(8th grade HELP)
1. Inertia causes a stationary object to...
a.stay still
b.move
c.have an increased velocity
d.change it’s speed or direction
2. Once an applied force causes an object to start moving, the object keeps moving because....
a.none of the above
b.the force continues to be applied to it
c.no other force is acting on it
d.it has inertia
Answers
A steel beam is rotated in a horizontal plane to provide the centripetal acceleration for training pilots. If the pilot sits 2.19 m from the center of rotation, at what speed must he rotate in order to experience a horizontal centripetal acceleration of 65.8 m/s/s?
Answers
Given :
Pilot sits 2.19 m from the center of rotation.
Horizontal centripetal acceleration is 65.8 m/s².
To Find :
The angular velocity of the pilot .
Solution :
We know, centripetal acceleration is given by :
[tex]a = \omega^2 r\\\\\omega = \sqrt{\dfrac{a }{r}}\\\\\omega = \sqrt{\dfrac{65.8 }{2.19}}\\\\\omega = 5.48\ s^{-1}[/tex]
Hence, this is the required solution.
Ball A, moving towards the right, collides with
stationary ball B. Ball A bounces back; B moves
off slowly to the right. Which has the greater
mass, A or B?
Answers
Answer:
ball b has the greater mass.
Explanation:
b only moved because a bumped into it. if a bounced back, it had less mass and b moved slowly.
Which physical property is best measured using only a balance? A. Density B. Volume C. Color D. Mass
Answers
Answer:
D. Mass
hope it helps
Explanation:
Mass is commonly measured with a balance
PLEASE HELP ME! IM TIMED
Answers
Answer:
the third one
Explanation:
the 1991 eruption of mt. pinatubo was the scariest in history
Answer:
C
Explanation:
It is based on someone’s experience and how they felt about the accident
PLEASE HELP ME! IM TIMED
Answers
Answer:
it b
Explanation:
just try
Someone please tell me the answer with working please!! I
Answers
A rollercoaster car has 2500 J of potential energy and 160 J of
kinetic energy at the top of the first hill.
How much energy and what kind of energy will there be at the
bottom of the first hill?
2660 J of KE
0 2660 J of Peg
2500 J of KE
160 J of PEG
Answers
Answer:
E_{k2}=2660 [J] kinetic energy.
Explanation:
The energy in the initial state i.e. when the rollercoaster is at the top is equal to the energy in the final state i.e. when it is at the bottom of the hill.
These states can be represented by means of the second equation.
[tex]E_{k1}+E_{p1}=E_{k2}\\160 + 2500 = E_{k2}\\E_{k2}=2660 [J][/tex]
Since the rollercoaster is located in the bottom of the hill where the potential energy level is zero, therefore there is only kinetic energy in the second state.
Please help which one !!
Answers
Answer:
4th one
Explanation:
PLEASE HELP
is lighting firecrackers a form of conduction, convention, or radiation
Answers
Answer:
Convection
Explanation:
conduction is like, electricity. radiation is like using a microwave.
Answer:
conduction
Explanation:
recall that conduction is the transfer of heat between objects that come in direcr contact.
You are putting heat directly on the part of the firework that allows it to spark, therefore it is conduction.
Convection takes place within a fluid.
Radiation is indirect heat through waves. (think of the sun warming us indirectly)
Question in the photo
Answers
Answer:
a lever that is what is used
How do you compare the mass of proton, neutron, and
electron?
Answers
Answer:Explanation:
Protons and neutrons have very similar mass, while electrons are far lighter, approximately 11800 times the mass. Protons are positively charged, neutrons have no electric charge, electrons are negatively charged. The size of the charges is the same, the sign is opposite.
Which of the following is an example of adhesion?