A woman skis from rest down a hill 20 m high. If friction is negligible, what is her speed at the bottom of the slope? Select one: O a. 20 m/s O b. 12 m/s O c. 400 m/s O d. 6 m/s​

Answers

Answer 1

Hi there!

We can use the work-energy theorem to solve.

Recall:

[tex]\large\boxed{E_i = E_f}}[/tex]

Initial energy = final energy

The initial energy is purely potential (she starts from rest), and, if we assign the bottom of the slope as the 0 line, her energy at the bottom is purely kinetic.

PE = mgh

KE = 1/2mv²

We can begin by setting the two equal:

mgh = 1/2mv²

Cancel out the mass and rearrange to solve for velocity:

2gh = v²

v = √2gh

Plug in given values and use g ≈ 10 m/s²:

v = √2(10)(20) = 20 m/s


Related Questions

How can whales descend quickly and face no problems

Answers

Answer:

Whales face an increasing number of threats including: For hundreds of years people hunted whales for their oil to fuel lamps and candles, to lubricate machinery and to make margarine, lipsticks and other products. They also used baleen whales to make tennis racquets and corsets!

Explanation:

explain how gravitational erosion changes landforms

Answers

Answer:

Gravity can pull soil, mud, and rocks down cliffs and hillsides.

Explanation:

Gravity is responsible for erosion by flowing water and glaciers. But gravity also causes erosion directly. This type of erosion and deposition is called mass wasting.

Answer:

Erosion is another geological process that creates landforms. When mechanical and chemical weathering breaks up materials on the Earth's surface, erosion can move them to new locations. For example, wind, water or ice can create a valley by removing material. This can create new landforms.

Explanation:

Hope this helps !!

In your own words, describe how metter is identified​

Answers

Answer: It is identified with color, texture, boiling point, melting point and freezing point

Explanation:

What is the average momentum of Cart 1 during the entire time shown before
kg-m
the collision, in units .?
$
Note that the collision appears to take place somewhere between 0.5 s and 0.6
s (perhaps at 0.6 s exactly, but we cannot be sure), so we can safely say that
data up to and including 0.5 s is "before the collision."

Answers

The average momentum of Cart 1 during the entire time shown before the collision is 0.24 kgm/s.

The given parameters:

Mass of the cart 1 = 500 g = 0.5 kg

The average velocity of the cart 1 before collision is calculated as follows;

[tex]v = \frac{\Delta x}{\Delta t} \\\\v = \frac{0.55 - 0.31}{0.5 - 0} \\\\v = 0.48 \ m/s\\\\[/tex]

The average momentum of Cart 1 during the entire time shown before the collision is calculated as follows;

[tex]P = mv\\\\P = 0.5 \times 0.48\\\\P = 0.24 \ kgm/s[/tex]

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6. The first vertebrates appeared during
a. Precambrian time
b. the Paleozoic Era
C. the Mesozoic Era
d. The Cenozoic Era

Answers

Answer:

b. the Paleozoic Era

Explanation:

The first vertebrates to appear are primitive fish in the Cambrian Period, but bony fishes with actual bony vertebratae didn't appear for another 100 million years. The Cambrian Period is the first of three periods in the Paleozoic Era. The Cambrian explosion was an event when practically all major animal phyla started appearing in the fossil record.

Blonde hair is produced by inheriting double recessive alleles (bb) from one’s parents. What is the probability of their offspring having blonde hair?
plz help

Answers

Answer:

25%

Explanation:

A cylinder with a radius of 1.8 cm is floating in water as shown below. The mass of the cylinder is 1.80 kg. Calculate the depth of the bottom end of the cylinder

Answers

Answer:

Explanation:

I will ASSUME that the cylinder floats with the axis through the center of its flat ends is perpendicular to the water surface.

The cylinder will displace it's mass in water.

water density has a value of 1000 kg/m³

if the depth of the bottom is "h" in meters

1.80 kg = π(0.018² m²)(h m)(1000) kg/m³

h = 1.768388256...

or about 1.77 m

PLEASE ANSWER QUICK GIVING BRAINLIEST TO THE ONE WHO ANSWERS

Describe what happens when iron and oxygen combine. Can the change be reversed?

Answers

Answer:

iron combines with oxygen to produce rust, which is the compound named iron oxide.

Explanation:

Please help me answer the following image!

Answers

The answer will be C because when the biker brakes, heat will be generated because of the friction

Do you think the rider in the above figure is really in danger? What If people below were removed?

Answers

The rider will be in danger when the people below  are removed, because they initially helped to maintain equilibrium.

A system subjected to different forces is said to be in equilibrium when all the forces applied to the system are equal.

For a system subject to two opposite forces, the following exists;

If the upward force and the downward forces are equal, the system will remain in equilibrium positionIf the upward or downward force is greater than the other, the system will move in the direction of the greater force.

Thus, we can conclude that the rider will be in danger when the people below  are removed, because they initially helped to maintain equilibrium. Once these people are removed, the rider tends to move at a greater speed and possibly fall from the initial position.

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A satellite moves in a circular orbit around the Earth at a speed of 5.2 km/s. Determine the satellite’s altitude above the surface of the Earth. Assume the Earth is a homogeneous sphere of radius 6370 km and mass 5.98 × 1024 kg.
The value of the universal gravitational constant is 6.67259 × 10−11 N · m2/kg2

Answers

Answer:

The altitude of the satellite above the surface of the Earth is 1,528.48 km.

F=rmv2=R2GmMrv2=R2GMr=GMv2R2r=(6.67259×10−11)×(5.98×1024)(6900)2×(6,370,000)2r=4,841,516.6 mr=4,841.52 km

6. A man with a mass of 75 kg standing on a skateboard is holding a medicine ball that has
a mass of 20 kg. If the man throws the ball to the left with a speed of 10 m/s,
a) What happens to the man on the skateboard?
b) What is the man's speed after throwing the ball?

Answers

Answer:

Explanation:

Conservation of momentum

a) the man and skateboard move to the right.

b) His speed depends on the reference frame of the ball speed.

If the speed of the ball is 10 m/s relative to ground and the man's final speed is v, then.

(75 + 20)(0) = 20(10) + 75(v)

v = -200/75 = -2.6666...

|v| = 2.7 m/s relative to the ground

This is the likely answer they are seeking.

If the ball is thrown with a speed of 10 m/s relative to the man

(70 + 20)(0) = 20(v + 10) + 75v

20v + 200 = - 75v

          200 = - 95v

               v = -2.105... m/s velocity or a speed of

              |v| = 2.1 m/s relative to ground

and the ball has a velocity of 10 - 2.1 = 7.9 m/s relative to ground.

A model shows a machine that works using electric fields. What would this machine need for the electrical field to function properly

Answers

It would need at least two charges interacting parts

8.
When minerals seep into and replace the organic cells of a dead organism, creating a
mineral replica of the organism is called ...
Petrification
b. Tar Seeps
C. Amber
d. Mummification

Answers

Answer:

a. petrification

Explanation:

tar seeps = natural trade that, because of its close proximity to the ground surface, seeps from the cracks in the Earth or between rocks forming pits or pools (tar pits)

amber = fossilized resin produced by extinct coniferous trees, typically yellow in color

mummification = a process in which the skin and flesh of a corpse can be preserved by embalming and drying

A 2.8 kg rectangular air mattress is 2.00 m long, 0.500 m wide, and
0.100 m thick. What mass can it support in water before sinking?
160 m long When a truck ulls

Answers

First off, we have to assume that the 2.8 kg mass of the air matress includes both the material that the matress is constructed from and the air that is contained within.

The mattress can support a total weight that is equal to the weight of water that the air matress displaces.

The volume of the air mattress is:

V(mattress) = (2 m)(0.5 m)(0.1 m) = 0.1 m³

This volume is equal to the maximum amount of water that the matress can displace in the water before it begins sinking.

The density of water is 1000 kg / m²

The weight of the maximum amount of displaced water is:

V(matress) * (density of water) * (g) = (0.1 m³) * (1000 kg / m³) * (9.81 m / s²) = 981 N.

Let m represent the mass that the matress is supporting.

The total weight of the matress and the supported mass is:

(2.8 + m) * 9.81

Setting this weight equal to the weight of the water displaced gives:

(2.8 + m) * 9.81 = 981

2.8 + m = 100

m = 100 - 2.8

m = 97.2 kg

Mass the air mattress support before sinking will be M = 97.2 kg

What will be the mass mattress will support?

Given that

mass of mattress m=2.8 kg

Length = 2.00 m  

width =0.5 m  

The mattress can support a total weight that is equal to the weight of water that the air mattress displaces.

The volume of the air mattress will be equal to

[tex]V= (2\times 0.5\times 0.1)[/tex]

[tex]V= 0.1 m^{3}[/tex]

This volume is equal to the maximum amount of water that the mattress can displace in the water before it begins sinking.

We know the density of water is 1000 kg / m²

We can calculate the weight of the maximum amount of water that mattress will displace

[tex]V\times density of water\times g=0.1\times 1000\times 9.81=981N[/tex]

Let M represent the mass that the mattress is supporting.

The total weight of the mattress and the supported mass is:

[tex](2.8+M)\times9.81[/tex]

Setting this weight equal to the weight of the water displaced gives:

[tex](2.8+M)\times9.81=981[/tex]

[tex]2.8+M=100[/tex]

m = 97.2 kg

Hence Mass the air mattress support before sinking will be M = 97.2 kg

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A dockworker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 11.0 m in 5.00 s. (a) what is the mass of the block office? (b) If the worker stops pushing at the end of 5.00 s, how far does the block move in the next 5.00 s?

Answers

Answer:

(a) 91 kg (2 s.f.)    (b) 22 m

Explanation:

Since it is stated that a constant horizontal force is applied to the block of ice, we know that the block of ice travels with a constant acceleration and but not with a constant velocity.

(a)

                                                   [tex]s \ = \ ut \ + \ \displaystyle\frac{1}{2} at^{2} \\ \\ a \ = \ \displaystyle\frac{2(s \ - \ ut)}{t^{2}} \\ \\ a \ = \ \displaystyle\frac{2(11 \ - \ 0)}{5^{2}} \\ \\ a \ = \ \displaystyle\frac{22}{25} \\ \\ a \ = \ 0.88 \ \mathrm{m \ s^{-2}}[/tex]

     Subsequently,

                                                  [tex]F \ = \ ma \\ \\ m \ = \ \displaystyle\frac{F}{a} \\ \\ m \ = \ \displaystyle\frac{80 \ \mathrm{kg \ m \ s^{-2}}}{0.88 \ \mathrm{m \ s^{-2}}} \\ \\ m \ = \ 91 \mathrm{kg} \ \ \ \ \ \ (2 \ \mathrm{s.f.})[/tex]

*Note that the equations used above assume constant acceleration is being applied to the system. However, in the case of non-uniform motion, these equations will no longer be valid and in turn, calculus will be used to analyze such motions.

(b) To find the final velocity of the ice block at the end of the first 5 seconds,

                                                    [tex]v \ = \ u \ + \ at \\ \\ v \ = \ 0 \ + \ (0.88 \mathrm{m \ s^{-2}})(5 \ \mathrm{s}) \\ \\ v \ = \ 4.4 \ \mathrm{m \ s^{-1}}[/tex]

     According to Newton's First Law which states objects will remain at rest

     or in uniform motion (moving at constant velocity) unless acted upon by

     an external force. Hence, the block of ice by the end of the first 5

     seconds, experiences no acceleration (a = 0) but travels with a constant

     velocity of 4.4 [tex]m \ s^{-1}[/tex].

                                                    [tex]s \ = \ ut \ + \ \displaystyle\frac{1}{2}at^{2} \\ \\ s \ = \ (4.4 \ \mathrm{m \ s^{-2}})(5 \ \mathrm{s}) \ + \ \displaystyle\frac{1}{2}(0)(5^{2}) \\ \\ s \ = \ 22 \ \mathrm{m}[/tex]

      Therefore, the ice block traveled 22 m in the next 5 seconds after the

      worker stops pushing it.


2. Where do hyperbolic comets originate?
A.the Oort cloud
B.the asteroid belt
B.the Kuiper belt
C.interstellar space

Answers

Answer:

Hyperbolic comets originate from the Kuiper Belt.

Energy can be changed from one form to another. Which terms can be used to describe these changes? Check all
that apply.
energy conversion
energy conservation
energy correlation
energy transformation
energy transference

Answers

Answer:

energy transformation

Answer: Energy Transformation & Energy Conversion.


The potential at point P is the work required to bring a one-coulomb test charge from far
away to the point P?

True or false ?

Answers

true so true Its so true

Giving all of my points! (please help with a few questions if you can)

Physical Science A Semester Exam Hydrogen is in Group 1 of the periodic table. Which kind of bond would form between two hydrogens?

O A covalent bond would form because the electron would be shared so both hydrogens have a full, stable shell.

O An ionic bond would form because both atoms are nonmetals.

O An ionic bond would form because one hydrogen would transfer its valence electron to the other hydrogen to make a full

O A metallic bond would form because both atoms are metals.​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~ A

A covalent bond would form because the electron would be shared so both hydrogens have a full, stable shell.

A covalent bond would form between two hydrogens because the electron would be shared so both hydrogens have a full, stable shell.

What is covalent bond?

Equal shares of electrons from the two involved atoms result in the formation of a covalent bond. This sort of bonding's electron pair is known as the shared pair or bonding pair. Molecular bonds are another name for covalent bonds. The atoms will reach stability in their outer shell, analogous to the atoms of noble gases, thanks to the sharing of bonding pairs.

The simplest material with a covalent bond is the hydrogen molecule. Two hydrogen atoms, each with one electron in a 1s orbital, combine to produce it. The two electrons in the covalent bond are shared by both hydrogen atoms, and each one takes on an electron configuration like that of helium.

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A swimmer who can swim in still water at a speed of 4km/h is swimming in a river. the river flows at a speed of 3km/h. calculate the speed of the swimmer relative to the river bank when she swims:- 1. downstream 2.upstream​

Answers

Explanation:

Downstream: you just sum the magnitude of the velocity vectors:

3km/h + 4km/h = 7km/h

Upstream: difference of the magnitudes of the velocity vectors, in absolute value:

|3km/h - 4km/h| = 1km/h

Need quite a bit of help

Answers

When the cart was at Table

Normal reaction (N)=mg

Now acceleration due to gravity acting on the gravity.

When the air comes out of straw it tries to take the cart upwards.But the force is equal to that of acceleration due to gravity but in opposite direction.

Hence.

[tex]\\ \sf\Rrightarrow F_{net}=0N[/tex]

So the cart doesn't move

9. If the force acting on a mass of 4kg accelerates it at a rate of 2m/s2, what will be the acceleration of the body when the force is doubled? ​

Answers

Explanation:

Force= mass× acceleration

Force= 4×2

= 8N

Doubling the force, 8×2= 16N

16= 4 × a

a= 16/4

= 4m/s²

8/10
A person stands on a square pedestal whose side lengths are
1.20 m. The person and pedestal together weigh 1.84 x 103 N.
What is the pressure the person and and pedestal exert on the
floor in Pa?

Answers

Answer:

Explanation:

P = 1.84 x 10³ N / 1.20² m² = 1,277.77777... N/m²

P = 1.28 x 10³ Pa

A sailcraft is stalled on a windless day. A fan is attached to the craft and blows air into the sail which bounces backward upon impact. The boat can what?

Answers

Answer:

Impulse = change in momentum w bounce

There are 2 impulses acting. Recoil of the fan going the negative direction and the impulse of the air bouncing off the sail. The greater impulse will bounce so the direction will be to the right moving the craft.

Velocity is an extensive property of a system. TRUE OR FALSE​

Answers

[tex] \: \: \: [/tex]

[tex] \pink{false}[/tex]

because velocity is neither an intensive nor extensive property

hope it helps

Answer:

False

Explanation:

I hope this helped have a great day!!!

As a truck rounds a curve, a box in the bed of the truck slides to the side farthest from the center of the curve. This movement of the box is a result of

Answers

Answer:

inertia

Explanation:

the mass of the box will want to continue on its straight line motion.

As centripetal force on the wheel treads causes the truck to turn, frictional force between the box and truck bed is insufficient to keep the box turning at the same rate that the truck turns, so relative velocity occurs between box and bed until the centripetal force is increased by contact with the truck side wall farthest from the center of curvature.

5. Which statement about the acceleration of an object is corr
a. The acceleration of an object is directly proportional to t
external force acting on the object and inversely propo
mass of the object.
b. The acceleration of an object is directly proportional to
external force acting on the object and directly propor
mass of the object.
c. The acceleration of an object is inversely proportional
external force acting on the object and inversely prop
mass of the object.
d. The acceleration of an object is inversely proportiona
external force acting on the object and directly propo
mass of the object.

Answers

Answer:

a

Explanation:

you will find out that an object that has more weight requires more energy to move than the one with less weight

How do you find the capacitance in this?

Answers

Answer:

Explanation:

parallel capacitances add directly

Series capacitances add by reciprocal of sum of reciprocals.

Ceq = [ C ] + [1 / (1/C + 1/C)] + [1 / (1/C + 1/C + 1/C)]

Ceq = [ C ] + [C / 2] + [C / 3]

Ceq = [ 6C/6 ] + [3C / 6] + [2C / 6]

Ceq = 11C/6

16. The K-T boundary is a layer of rock that separates the time of the dinosaurs from
their extinction. According to the law of superposition which of the following is true?
A. Paleontologists would expect to find dinosaur bones below the K-T boundary but
not above.
B. Paleontologists would expect to find dinosaur bones far away from tectonic plate
boundaries where new crust is being created
C. Paleontologists would expect to find dinosaur bones above the K-T boundary but
not below.
D. Paleontologists would expect to find dinosaur bones close to tectonic plate
boundaries where new crust is being created

Answers

According to the law of superposition, the statement 'it is expected to find dinosaur bones below the K-T boundary but not above'' is TRUE. This boundary separates the Cretaceous and Tertiary periods.

The law of superposition is used by paleontologists to explain a sequence of sedimentary rock layers from the oldest layer at the base to reach the surface (newer).

Moreover, the K-T boundary is a boundary that separates sediments of the Cretaceous period from the Tertiary period.

This boundary (K-T boundary) dates approximately 65 million years (Mya) ago, i.e., the period in which dinosaurs became extinct.

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