A 15.2 kg mass has a gravitational potential energy of -342 j. how high from the ground is it?

Answers

Answer 1

According to potential energy, the height of the object is 2.296 meters.

We need to know about potential energy to solve this problem. The potential energy is the object's energy caused by its position. Potential energy can be determined as

PE = m . g . h

where PE is potential energy, m is mass, g is the gravitational acceleration (9.8 m/s²) and h is height.

From the question above, we know that

PE = 342 joules

m = 15.2 kg

By substituting the given parameters, we can calculate the height

PE = m . g . h

342 = 15.2 . 9.8 . h

148.96 h = 342

h = 2.296 meters

Hence, the height of the object from the ground is 2.296 meters.

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Related Questions

How far from the heavy end of a 68.0-cm long bat would its center of gravity be if its is at one-fourth of the length of the bat?

Answers

The heavy end of a 68.0-cm long bat would be at 17cm far from  its center of gravity.

The location where an object's weight is equally distributed on all sides is known as its center of gravity. For all practical purposes, the behavior would be almost unchanged if you substitute a point mass for the body at the center of gravity. The stability of an object is intimately related to its center of gravity.

We can solve finding if the center of gravity is at one-fourth the bat's length if [tex]c_{g} = \frac{1}{4} L[/tex]

where L = length of bat

[tex]c_{g} =\frac{1}{4} (68.0)[/tex]

[tex]c_{g} = 17cm[/tex]

Therefore, the heavy end of a 68.0-cm long bat would be at 17cm far from  its center of gravity.

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A mass of 10 kg is dropped from a height of 20 m. ignoring air resistance, what is the maximum speed it achieves?

Answers

A mass of 10 kg is dropped from height of 20 m. ignoring air resistance, maximum speed it achieves is 20m/s.

What is the air resistance?

Here on Earth, we tend to take the air resistance (aka. “drag”) for granted. We just assume that when we throw a ball, launch an aircraft, deorbit a spacecraft, or fire a bullet from a gun, that act of it traveling through our atmosphere will naturally slow it down. But what is reason for this? Just how is air able to slow object down, whether it is in free-fall or in flight?

Because of our reliance on air travel, our enthusiasm for the space exploration, and our love of sports and making things airborne (including ourselves), understanding air resistance is key to understanding physics, and integral part of many scientific disciplines. As part of subdiscipline known as fluid dynamics, it applies to the fields of aerodynamics, hydrodynamics, astrophysics, and nuclear physics (to name a few).

By definition, the air resistance describes the forces that are in opposition to the relative motion of an object as it passes through the air. These drag forces act opposite to oncoming flow velocity, thus slowing the object down. Unlike other resistance the forces, drag depends directly on velocity, since it is the component of the net aerodynamic force acting opposite to the direction of the movement.

so,

PE = mgh = 10 kg x 10 m/s^2 x 20 m = 2000 J

KE = 1/2 mv^2

2000 J = 1/2 x 10 kg x v^2

4000 J = 10 v^2

400 = v^2

20 = v

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you decide to go for a walk. you walk 8km to the north in 2 hours, than you was 3km to the south in 1 hour. what is your average speed the entire walk?​

Answers

Average speed = 3.6km/h

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Calculating the ratio of the body's total distance traveled to the time needed to complete that distance yields the average speed formula. As stated in the average speed equation:

S average =  Total Distance traveled/Total Time taken

A scalar value represents the average speed. The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity is measured in meters per second or M/s.

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A place kicker kicks a football with a velocity of 20 m/s and at an angle of 53 degrees
a) How long is the ball in the air?
b) How far away does it land?
c) How high does it travel?

Answers

(a) For 3.26sec long is the football in the air

(b) The football will land 39.24m far away

(c) The football will travel 13.01m high.

The vectors in x and y direction for football are as follows:

[tex]v_{y} = v_{o} sin53[/tex]

[tex]v_{y} = 15.97m/s[/tex]

[tex]v_{x} = v_{o} cos53[/tex]

[tex]v_{x} = 12.04m/s[/tex]

(a) According to equation of motion :

[tex]y = v_{y} t+\frac{1}{2} gt^{2}[/tex]

[tex]0 = (15.97)t+4.9t^{2}[/tex]

15.97 = 4.9t

t = 3.26seconds

Therefore, for 3.26sec long is the football in the air.

(b) Again using equation of motion:

[tex]x = v_{x} t[/tex]

x = 12.04 × 3.26

x = 39.24meters

Therefore, the football will land 39.24m far away.

(c) Dividing the time obtained in part (a) we get t = 1.63s

So, by using motion law we get,

[tex]y = v_{y} t+\frac{1}{2} gt^{2}[/tex]

[tex]y = (15.97)(1.63)+(4.9)(1.63)^{2}[/tex]

y = 13.01meters.

Therefore, the football will travel 13.01m high.

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What is the typical wavelength of microwaves used to heat up a frozen burrito? [note: commercial microwaves operate at approximately 2.5 ghz.]

Answers

12.2 millimeters is the typical wavelength.

Typically, consumer ovens operate at 2.45 gigahertz (GHz), or 12.2 centimeters, of wavelength (4.80 in).

What is the usual microwave wavelength?

According to the Encyclopedia Britannica, microwaves have frequencies that range from approximately 1 billion cycles per second, or 1 GHz, up to approximately 300 GHz, and wavelengths that range from approximately 30 centimeters (12 inches) to 1 millimeter (0.04 inches).

Why do microwave ovens use a 2.45 GHz frequency?

Additionally, they typically ran at a frequency of 2.45 GHz. It was agreed that microwave ovens should be granted a few megahertz of space in both directions since, despite extensive shielding, their potent emissions could occasionally interfere with nearby frequencies.

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Can you please help me?
You just walked up the tallest mountain in the United States and are sitting down at the top. How much work are you doing?

A. lot
B. none
C. a little bit

Answers

Answer: lot

Explanation: because you just climbed a mountain

To what speed must an electron be accelerated from rest for it to have a de broglie wavelength of 100pm? what accelerating potential difference is needed?

Answers

To express of an electron we have to figure out the relationship between momentum and wavelength:

λ= [tex]\frac{h}{p}[/tex]  =[tex]\frac{h}{mv}[/tex]

So, velocity of an electron will be:

v= me/λ[tex]e[/tex]h

​h= Planck's constant

[tex]m_{e}[/tex] = mass of the electron

Now we will see what is its value:

V= h/mcλ

[tex]\frac{6.626 .10^{-34}J.s}{(9.109.10^{-31}kg).(100.10^{-12m)} }\\ 7.27.10^{6} m.s^{-1}[/tex]

​Now, to express accelerating potential energy difference we will use kinetic energy and charge of electron

Kinetic energy: [tex]E_{K} =e_{E}[/tex]

But kinetic energy in terms of velocity is

:[tex]\frac{(9.109.10^{-31}kg).(7.27.10^{6}ms^{-1})^{2} }{2.(1.602.10^{-19} C)} \\=150.210^{-31} .10^{-31} .10^{12}.10^{19}V \\ = 1.502.10^{2}V[/tex]

​What is kinetic energy?Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which relies on both its mass and its rate of motion.we can calculate kinetic energy by first determining the work done W by a force, F, in a straightforward example. Consider a force parallel to a surface pushing a box of mass mm across a distance D along that surface.

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A kangaroo can jump over an object 2.7 m high. calculate its vertical speed when it leaves the ground. assume the acceleration of gravity as 9.8 m/s2. (express the numeral of your answer in si units)

Answers

The kangaroo has a vertical speed when it leaves the ground of: 7.274 m/s

The formula for the vertical launch upward and the procedure we will use is:

y max = v₀²/(2*g)

Where:

v₀ = initial velocityg = gravityy max = maximum height

Information about the problem:

g = 9.8 m/s²y max= 2.7 mv₀ = ?

Applying the maximum height formula and clearing the initial velocity we get:

y max = v₀²/(2*g)

v₀ = √(y max * (2*g))

v₀ = √( 2.7 m * (2 * 9.8 m/s²))

v₀ = √( 2.7 m * 19.6 m/s²)

v₀ = √52.92 m²/s²

v₀ = 7.274 m/s

What is vertical launch upwards?

In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.

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The density of a particular kind of glass is 2.40 g/cm^3 what is the volume of a 34.82?

Answers

The volume occupied of  a particular kind of glass with a density of 2.40 g/cm^3l and a mass of  34.82 g is: 14.508 cm^3

The density formula and the procedure we will use is:

d = m/v

Where:

v= volumed= densitym= mass

Information about the problem:

d= 2.40 g/cm^3m = 34.82 gv = ?

Applying the density formula and clearing the volume we get:

d = m/v

v = m/ d

v = 34.82 g/2.40 g/cm^3

v = 14.508 cm^3

What is density?

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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What angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce the intensity to 0.56 times the original intensity?

Answers

41.55° angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce the intensity to 0.56 times the original intensity.

Assume that Io is the initial intensity and that is the angle between the polarizer and the filter axis.

After filtering, light has a 0.56 Io light intensity.

According to Malus's law, the amount of plane-polarized light that enters the analyzer is directly inversely proportional to the square of the cosine of the angle between the polarizer's plane and its transmission axis.

By applying the Malus law,

[tex]I = I_{0} Cos^{2}[/tex]θ

[tex]0.56I_{0} = I_{0} Cos^{2}[/tex]θ

[tex]0.56= Cos^{2}[/tex]θ

θ = 41.55°

Therefore, 41.55° angle is needed between the direction of polarized light and the axis of a polarizing filter to reduce the intensity to 0.56 times the original intensity.

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What mass of sucrose, c12h22o11 would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of kcl?

Answers

45.90kg mass of sucrose, would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of KCl.

We can obtain the freezing point of solution using:

Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

[tex]m = \frac{moles}{volume of solvent in kg}[/tex]

[tex]m = \frac{mass/molarmass}{0.2}[/tex]

[tex]m = \frac{5/74.55}{0.2}[/tex]

m = 0.3353moles/kg

Now, Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

Δ[tex]T_{f}[/tex] = 2 × (-1.86) × 0.3353

Δ[tex]T_{f}[/tex] = -1.2473°C

Now, for obtaining mass of sucrose , using the same formula of freezing point we get:

Δ[tex]T_{f}[/tex] = i × [tex]K_{f}[/tex] × m

-1.2473 = 1 × (-1.86) × [tex]\frac{mass/342.3}{0.2}[/tex]

-1.2473 = -1.86 × [tex]\frac{mass/342.3}{0.2}[/tex]

-1.2473 = -1.86 × [tex]\frac{mass}{68.46}[/tex]

mass = 45.90kg

Therefore, 45.90kg mass of sucrose, would be needed to obtain the same freezing point when dissolved in 200 g of water as 5.00 g of KCl.

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If you throw a baseball straight up, what is its acceleration at the highest point?

Answers

At highest point velocity becomes zero, and acceleration = ncceleration due to gravity `= g = 9.8 ms ^(-2).

An object weighs 80.8 n in air. when it is suspended from a force scale and completely immersed in water the scale reads 18.6 n. determine the density of the object.

Answers

The density of the object is 1001 kg/ m³.

To find the density of the object, the given values are,

Weight in Air = 80.8 N

Weight in water = 18.6 N

What is density?

The density can be defined as the mass of a unit volume of a material substance.

The formula for density is,

                                  d = M/V,

where d is density, M is mass, and V is volume.

The unit of density is Kg/m³.

As we know only the weight in air and water, we have to use the formula of buoyant force,

Fb = Fair - F water

    = 80.8 - 18.6

    = 62.2 N

The buoyant force Fb = 62.2 N.

The density of the object should find, for that the velocity will be calculated using the density of the water.

The formula of buoyant force,

Fb = ρVg

where, ρ - density of water, V- velocity, g- acceleration due to gravity.

Substituting the known values,

62.2 = 1000 × V × 9.8

V = 62.2 / ( 1000× 9.8)

Thus,

V = 6.34 × 10⁻³ m³.

To find the object density,

Fb = ρVg

62.2 = ρ × 6.34 × 10⁻³   × 9.8

ρ = 62.2 / (6.34 × 10⁻³   × 9.8)

   = 62.2 / 62.132 ×10⁻³

   = 1001 kg/ m³

The density of the object is 1001 kg/ m³.

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Suppose that a and b are two independent events for which p(a) = 0.31 and p(b) = 0.76. find each of the following:
a. p(a|b) =______
b. p(b|a) =______
c. p(a and b) =______
d. p(a or b) =_______

Answers

The independent events are given below for the outcome provided :

P (A|B) = 0.76

P(B|A) = 0.76

P(A and B ) = 0.2356

P(A or B)   = 0.2356

Understanding probability :

If A and B are independent, then knowing A doesn't give you any additional information about B and vice versa. Mathematically, this relationship are often represented with the two equations P(A|B) = P(B) and P(B|A)=P(B), as long as A and B are independent. differently to state this is that, no matter B, P(A) doesn't change, or A doesn't depend on B.

To (randomly) throw the primary dart into circle A and the second dart into circle B, you've got to get lucky on two separate occasions.

Simplifying the formula :

When throwing the primary dart, your chance of throwing it randomly into circle A is P(A). When throwing the second dart, your chance of throwing it randomly into circle B is P(B). Because the 2 are independent, the multiplication rule, which is usually P(A and B) = P(A|B) * P(B) can be simplified to P(A and B) = P(A) * P(B).

To (randomly) throw darts into either circle, you get two tries, once with A and once with B.

It’s possible that both darts land during a circle. Therefore, the overall addition rule holds, so P(A or B) = P(A) + P(B) - P(A and B).

Given the formulas italicized, you'll plug in your values for P(A) and P(B) to find the other probabilities:

P(A) = 0.31

P(B) = 0.76

Solving :

P(A|B) = P(B)

P (A|B) = 0.76

P(B|A)=P(B)

P(B|A) = 0.76

P(A and B) = P(A) * P(B)

P(A and B ) = 0.31 ×0.76

                    = 0.2356

P(A or B) = P(A) + P(B) - P(A and B)

                 = 0.31 + 0.76 - 0.45

                 = 0.65  

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Graphs are pictorial representations of

Answers

A graph is a pictorial representation of a set of objects where some pairs of objects are connected by links.

An image graph or pictograph is a graph used to display data that use pics or symbols to represent facts. The interconnected items are represented through factors termed vertices, and the hyperlinks that connect the vertices are known as edges. amongst different forms of information representations possible, the representation which includes images and pictorial representation of facts is referred to as a pictograph.

Pictographs and bar graphs are pictorial representations of numerical records. answer: real. with the aid of the definition, pictographs and bar graphs are pictorial representations of the numerical data. the records presented thru pictures or image of various objects is called a pictorial representation of facts. The photos of different objects are used to symbolize specific statistics, so such pictorial data are called pictographs.

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If a pipe delivers water at the rate of 63.9 gal/min, what is the rate in ft3/s?

Answers

The rate of water expressed in ft³/s is: 0.1423 ft³/s

To solve this problem, we have to do the conversion of units with the given information.

Information about the problem:

rate of water = 63.9 gal/minrate of water(ft³/s) = ?1 ft³ = 7.481 gal

By Converting the units from (gal/min) to (ft³/s), we get:

rate of water = 63.9 gal/min * 1 ft³/7.481 gal * 1 min/60 s

rate of water =0.1423 ft³/s

What is unit conversion?

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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When looking to carry out a decision, one of the most critical elements in successfully implementing a solution is:_______

Answers

When looking to carry out a decision, one of the most critical elements in successfully implementing a solution is Planning.

psychology is the study of mind and behavior through scientific methodhindsight bias is the tendency to think that we may have predicted something that has already happened that we probably would not have been able to thought.scientific method is the set of premise , rules, and procedures that scientists use to deal empirical research.

behaviorism is based on the premise that it is not possible to objectively study the mind, and therefore that psychologists should limit their attention to the study of behavior itself

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Can someone help me with these five questions? With an explanation, please! Refer to these photos:

Answers

1) The body moved from 0 cm to 4 cm at a constant speed of 1 cm/s.

2) The object moved at a constant speed of 3 cm/s from 0 cm to 3cm

3) Two objects are speeding up and one object is slowing down.

4) The object moved from 4s to 8s at a constant speed of 4 cm/s

5) The horizontal line appears at 5 m/s is the second graph.

What is acceleration?

We know that acceleration has to do with the change of of velocity of an object with time.

1) We can see that the position changes by equal amounts in equal time intervals thus the body moved from 0 cm to 4 cm at a constant speed of 1 cm/s.

2) Looking at the shape of the second graph we can see that the object moved at a constant speed of 3 cm/s from 0 cm to 3cm

3) From the images of the ticker tapes, we can see that two objects are speeding up and one object is slowing down.

4) From the fourth graph, we can see that the object moved from 4s to 8s at a constant speed of 4 cm/s

5) The graph in which the horizontal line appears at 5 m/s is the second graph.

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a 56 kg canoeist sits at rest at the back of a 23kg canoe. the canoe is at rest in the still water of a lake with its front end about 50 cm from the end of the dock. the canoeist realizes that the canoe's paddle is still on the dock, and so carefully crawls back to the front of the 3. is the canoeist likely to be able to reach the paddle

Answers

Yes, the canoeist is likely to be able to reach the paddle, the canoeist realizes that the canoe's paddle is still on the dock, and so carefully crawls back to the front of the 3.

What is displacement?

Displacement is a vector quantity. This indicates that it has both a direction and a magnitude and that it is visually represented as an arrow that points from the starting position to the ending position.

As given in the problem a 56 kg canoeist sits at rest at the back of a 23kg canoe. the canoe is at rest in the still water of a lake with its front end about 50 cm from the end of the dock.

the canoeist realizes that the canoe's paddle is still on the dock, and so carefully crawls back to the front of the 3.

Thus, paddles will most likely be within the canoeist's grasp.

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A race car traveling northward on a straight, level track at a constant speed travels 0.762 km in 20.0 s. The return trip over the same track is made in 25.0 s.
(a)
What is the average velocity of the car in m/s for the first leg of the run?

m/s
(b)
What is the average velocity (in m/s) for the total trip?
m/s

Answers

Explanation:

i hope this is the right way to solve it

In c 11, assuming mychar is a char variable and mystring is a string, what is the value of mychar after the following statement executes? mychar = mystring.front();

Answers

The value of mychar after the statement executes is the first character of mystring.

What is C++11?

The ISO/IEC 14882 standard for the C++ programming language is known as C++11. The previous C++ standard, C++03, was replaced by C++11, which was then followed by C++14. Although it was formerly known as C++0x since it was anticipated to be published before 2010, the name now adheres to the custom of designating language versions by the publication year of the specification.

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Which theoretical perspective is consistent with the idea that the mass media represents the idea's of the ruling class and is used to oppress the poor and powerless?

Answers

Social conflict theoretical perspective is consistent with the idea that the mass media represents the idea's of the ruling class and is used to oppress the poor and powerless.

Conflict in society arises when people compete for control or authority. Social conflict occurs when two or more individuals disagree with one another in social interactions and each employs reciprocal social power to pursue opposing but stop the other from achieving their own goals. In contrast to role conflict, which involves only two sides, social conflict involves multiple parties, including groups, organizations, communities, and crowds.

Making incorrect assumptions when there is uncertainty might lead to social conflict. Consider the difference between making a negative assumption, such as that a late friend doesn't respect your time, and a positive assumption, such as that they have encountered an issue, like a late train.

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100 POINTS
1. In 1991, four English teenagers built an electric car that could attain a speed of 30.0 m/s. Suppose it takes 1 s for this car to accelerate from 7 m/s to 25 m/s. What is the magnitude of the car's acceleration?
2. What is the change in position, displacement, if a person moves from rest to 30 m away to the west?
15 m west
60 m west
30 m
30 m west
3.What would be the final velocity at the end of this fall if the initial velocity is 0 m/s and the time allowed to fall is 3 seconds?
29.4 m/s
44.1 m/s
12.81 m/s
Samuel is riding his bicycle 1.2 m/s to the east. How far does he go after 15s?
1.25 m
19 m
18 m
1.8 m
A deer runs out in front of this car and cause the driver to have to come to a stop. If the driver has an average acceleration of -6 m/s2 , how long will it take for him to stop if the car is travelling 12 m/s?
2 s
.5 s
-.5 s
-2 s

Answers

The answers are attached in the file.

Hope this helps :)

The acceleration of the electric car if it takes 1 s for this car to accelerate from 7 m/s to 25 m/s is 18 m/s².

What is acceleration?

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well.

Given:

The initial speed of the electric car, u = 7 m/s,

The final speed of the electric car, v = 25 m/s,

Time taken, t = 1 sec,

Calculate the acceleration as shown below,

Acceleration = Final speed - Initial speed / time

Acceleration = 25 - 7 / 1

Acceleration = 18 / 1

Acceleration =  18

Thus, the acceleration of the car is 18 m/s².

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During a hard sneeze, your eyes might shut for 0.40 s. if you are driving a car at 77 km/h during such a sneeze, how far does the car move during that time?

Answers

The car with a velocity of 77 km/h, during a hard sneeze of 0.40 s, moves  8.56 m

Applying the distance formula from the uniformly rectilinear motion (URM), we have:

x = v * t

Where:

x = distancet = timev = velocity

Information about the problem:

v = 77 km/h t = 0.40 sx=?

Converting the velocity units from km/h to m/s, we get:

77 km/h * (1000 m/ 1 km) * (1 h/ 3600 s) = 21.389 m/s

Applying the distance formula we have that:

x = v * t

x= 21.389 m/s * 0.40 s

x = 8.56 m

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Do ocean currents move cold water from the tropics to the poles where the water warms?

Answers

Answer: Large-scale surface ocean currents are driven by global wind systems that are fueled by energy from the sun. These currents transfer heat from the tropics to the polar regions, influencing local and global climate.

Explanation:

I hope this helped you some!

No. That would be silly.  The water in the tropics is the warmest, since the sun is most direct there.  

Any ocean current that takes water away from the tropics moves the water to cooler places, where the water cools off.  ESPECIALLY the poles, home of the coldest water on Earth.  ICE even !

A boy sits at the top of a 3.00 m
long playground slide, tilted at 41.09,
with Ak = 0.230. How fast is he

going at the bottom?
(Hint: Leave mass as a symbol,
and it will cancel out.)
(Unit = m/s)

Answers

That is speed=  d/t

fast is he speed = 3.7/s

Hence, the boys' acceleration will be 3.785 m/s².

The boys' acceleration will be 3.785 m/s². It is the rate of change of the velocity on the inclined plane. A type of opposition force acting on the surface of the body that tries to oppose the motion of the body. Its unit is Newton(N).

Mathematically, it is defined as the product of the coefficient of friction and normal reaction.

direction. That object's position per unit of time makes it a scalar quantity. The instantaneous speed is the upper limit of the average speed as the duration of the time interval gets closer to zero.  The average speed of an object in a period of time is the distance traveled by the object divided by the duration of the interval The meter per second (m/s) is the metric unit of speed.The next time when you’re in your car on the highway, do just that. What does it say

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After 55 years, what mass (in g) remains of a 200.0 g sample of a radioactive isotope with a half-life of 10.0 years?

Answers

By the half-life of radioactive, the remaining mass of radioactive elements is 4.42 grams.

We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation

N = No(1/2)^(t/t'')

where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.

From the question above, we know that

t'' = 10 years

No = 200 g

t = 55 years

Calculate the remaining mass

N = No(1/2)^(t/t'')

N = 200(1/2)^(55/10)

N = 4.42 grams

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Silver has a density of 10.5 g/cm^3 what is the mass of a 5.00cm by 15.00cm by 20.00cm block of silver?

Answers

The mass of a 5.00cm by 15.00cm by 20.00cm block of silver is 52.5⋅g.

What is Density ?

The substance's density is defined as its mass per unit of volume (volumetric mass density or specific mass). Although the Latin letter D may also be used, the symbol for density that is most usually used is (the lower case Greek letter rho). The mathematical definition of density is mass divided by volume.

Density = Mass/ Volume

Therefore

Mass =Density (ρ) × volume Mass of silver = 10.5⋅g⋅cm−3×5⋅cm3= 52.5⋅g.

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1. Add together two vectors: the first has a magnitude of 95 units and is directed east; the other has a magnitude of 45 units directed at 45°to the first.​

Answers

The addition of the two vectors is 130.75 units.

The term "vector" is used colloquially to describe constituents of particular vector spaces or some quantities that cannot be described by a single integer.

The magnitude of a vector formula can be utilized to determine the length of a given vector. This amount is essentially the distance between the vector's beginning point and ending point.

The first vector has a magnitude of 95 units and is directed east and the magnitude of the second vector is 45 units directed 45° to the first vector.

Let the magnitude of the first vector be [tex]|\overrightarrow A|=95[/tex].

Let the magnitude of the second vector be [tex]|\overrightarrow B|=45[/tex].

And the angle between the two vectors θ = 45°

Then, the sum of the two vectors will be:

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{A^2+B^2+2ABcos(\theta)}[/tex]

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{95^2+45^2+2(95)(45)cos(45^{\circ})}[/tex]

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{9025+2025+8550\frac{1}{\sqrt{2} } }[/tex]

[tex]|\overrightarrow A + \overrightarrow B| = \sqrt{11050+6045.76}\\|\overrightarrow A + \overrightarrow B| = \sqrt{17095.76 }\\|\overrightarrow A + \overrightarrow B| = 130.75[/tex]

The sum of the two vectors is 130.75 units.

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why we reduce non renable source of energy​

Answers

Answer:

Reducing the use of non-renewable energy sources preserves that resource so it does not run out.

Explanation:

Non-renewable energy is limited. The word renewable means "not depleted when used." Meaning that there is ultimately an infinite amount of the source. If an energy source is NON-renewable it will eventually run out.

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