You accidentally throw your car keys horizontally at 8.0 m/s from a cliff. If yours keys land 28 m from the base of the cliff, how high was the cliff? Question 10 options: 17.15 m 60 m 45 m 28 m

Answers

Answer 1

Answer:

[tex]45m[/tex]

Explanation:

Let [tex]V_0[/tex] be the horizontal speed of the keys and D be the horizontal distance covered by the keys.

[tex]V_0= 8.0 \frac ms[/tex]

[tex]D= 28 m[/tex]

The initial velocity in the vertical direction is [tex]0[/tex].

Let [tex]g[/tex] be the acceleration due to gravity, which always acts vertically downwards, so, it will not change the horizontal direction of the speed, i.e. [tex]V_0[/tex] will remain constant throughout the projectile motion.

Let [tex]t[/tex] be the total time of flight in seconds. So,

[tex]D= V_0t[/tex]

[tex]\Rightarrow 28=8t[/tex]

[tex]\Rightarrow t=3 s \; \cdots (i)[/tex]

Let [tex]H[/tex] be the hight of the cliff.

Now, from the equation of motion

[tex]s=ut+\frac 1 2 at^2\;\cdots(ii)[/tex]

Where is the displacement is the direction of force, is the initial velocity in the direction of force,   is the constant acceleration due to force and is the time of flight.

Here, , and  (negative sign is for taking the sigh convention positive in the direction as shown in the figure.)

From equation (ii)

[tex]-H=0\times t + \frac 1 2 (-g)t^2[/tex]

[tex]\Rightarrow H= \frac 1 2 gt^2[/tex]

Take [tex]g= 10 \frac m{s^2}[/tex] and put the value of [tex]t[/tex] from equation (i), we have

[tex]H=\frac 1 2 \times 10\times 3^2[/tex]

[tex]\Rightarrow H= 45 m[/tex].

Hence, the height of the cliff was [tex]45 m[/tex].

You Accidentally Throw Your Car Keys Horizontally At 8.0 M/s From A Cliff. If Yours Keys Land 28 M From

Related Questions

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Answer:

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Explanation:

For a atom to become positively charged it needs to have more protons than electrons

Which of the following elements are found in Group 1A (sometimes referred
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Answer:

A. Potassium

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Explanation:

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Answer:

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Two grocery carts have the same initial total momentum. The two carts collide, and now cart B has a greater final velocity.

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It is less if cart B has a smaller mass.
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Answers

Answer: The anser is C

Explanation:

It is the same if no external forces are added.

Based on the principle of conservation of linear momentum, the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

The given information;

two carts have equal initial momentum beforeafter collision, cart B has greater final velocity

According to the principle of conservation of linear momentum, the total momentum before collision is equal to the total momentum after collision.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

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Thus, based on this principle (conservation of linear momentum), the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

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How does distance affect gravity???

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The nucleus of most atoms is composed of which of the following sub-atomic particles?

Answers

Answer:

protons (+ charge) & neutrons (neutral charge)

however protons has a positive charge so it determined what atom it is.

Answer:

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Explanation:

in your ans
A jogger runs the first 250 m of a race in 13.5 sec. What is the jogger's
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Answers

Answer:

S=250 m

t=13.5 sec

V=?

Explanation:

V=S/t

V=250/13.5

V=18.51m/s

1) Describe how the atoms of a solid differ from the atoms of a liquid.

Answers

Answer:

liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.

The atoms of solids and liquids are different from each other in many ways as discussed below.

We have a solid and a liquid.

We have to describe how the atoms of a solid differ from the atoms of a liquid.

What is Atom?

An Atom smallest unit into which matter can be divided without the release of electrically charged particles.

According to the question, the following differences exists between the atoms of solids and liquids -

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Answers

Divide the distance by the speed:

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After you let go of a bowling ball, is there a force pushing it so that it keeps moving
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Answers

Explanation:

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Answers

Answer:

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Explanation:

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Explanation:

Hey there!!

An elements is called a pure substance because it is composed of only one kina of atoms in a fix proportion.

Hope it helps...

Answer:

Elements are pure substances because elements are always made up of same kind of particles.

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D) the amount of resources used by people increases as the human population increases

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Answer:

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Answers

Answer:

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is there a tutor available


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Answers

Answer:

18.15m

Explanation:

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The average speed can be explained as the total distance covered by the object in a definite time. The average speed can be considered a scalar quantity as it exhibits magnitude and no direction.

The average speed of a physical system can be determined from the ratio of the total distance traveled by the system to the time taken to cover that distance.

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Answers

Given:-

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Calculate the distance covered by a body.

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Speed = Distance/Time

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We know,

Speed = Distance/Time

[tex] \bf\implies \: 25.3 = \frac{Distance}{9.6} [/tex]

[tex] \bf \implies \: Distance = 25.3 \times 9.6[/tex]

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On what factors does the quantity of heat of an object depend?​

Answers

Explanation:

This quantity is known as the specific heat capacity (or simply, the specific heat), which is the heat capacity per unit mass of a material. Experiments show that the transferred heat depends on three factors: (1) The change in temperature, (2) the mass of the system, and (3) the substance and phase of the substance.

Write about natural indicators. ​

Answers

Natural Indicator is a type of indicator that can be found naturally and can determine whether the substance is an acidic substance or a basic substance. Some examples of natural indicators are red cabbage, turmeric, grape juice, turnip skin, curry powder, cherries, beetroots, onion, tomato, and etc.

Hope this answers ur questions

A plane takes off at an angle of 30 degrees at a speed of 150 km/h. Determine the horizontal
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Answers

Answer:

Horizontal Component = 129.9 km/h

Vertical Component = 75 km/h

Explanation:

When a vector is resolved on the x-axis and the y-axis, the components so formed are called its rectangular components. The component along y-axis is called the vertical component and the component along x-axis is called horizontal component. These components can be given by following formulae:

Horizontal Component = v Cos θ

Vertical Component = v Sin θ

where,

v = velocity = 150 km/h

θ =  angle = 30°

Therefore,

Horizontal Component = (150 km/h)(Cos 30°)

Horizontal Component = 129.9 km/h

Vertical Component = (150 km/h)(Sin 30°)

Vertical Component = 75 km/h

The gravitational acceleration on Earth is 9.8 m/s2. What is the weight of a car on Earth (to the nearest whole number) if it has a mass of 1360 kg? 14 N 139 N 1333 N 13,328 N

Answers

Weight = (mass) x (gravitational acceleration where the mass is)

Weight = (1360 kg) x (9.8 m/s²)

Weight = 13,328  kg-m/s²

That's 13,328 Newtons

Given:-

Mass (m) of the car = 1360 kgAcceleration due to gravity (g) = 9.8 m/

To Find: Weight (W).

We know,

W = mg

where,

W = Weight,m = Mass &g = Acceleration due to gravity.

Thus,

W = (1360 kg)(9.8 m/s²)

→ W = 13,328 N (D)

7. The technology they had in the 70's was similar to a modern day _______________ that could fit in our pocket. (space science; The Farthest: Voyager in Space Viewing Guide)

Answers

Answer:

Key Fob.

Explanation:

On the 5th of September, 1977, the National Aeronautics and Space Administration (NASA) launched a spacecraft known as "Voyager 1" to study and explore the outer planets of the solar system.

Additionally, two voyager spacecraft were built for the above mentioned study and exploration exercise; Voyager 1 and Voyager 2. Voyager 2 was actually the first spacecraft while Voyager 1 was launched sixteen (16) days after and was faster.

According to Rich Terrile, the technology they had in the 70's was similar to a modern day Key Fob that could fit in our pocket because the processing power of the computer chip found in a Key Fob was comparable to the much larger voyager probe (Voyager 1 and Voyager 2) of the 70's, that was tagged an artificial brain.

This ultimately implies that, the computer chip found in a car Key Fob is more powerful and sophisticated than the Voyager probe, even though the Key Fob is smaller but having the same amount of memory.

what is the speed of a car that travels a distance of 200m in 2.3 seconds ? ​

Answers

Answer:

460metre per second

Explanation:

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Answers

Answer:

Solid , liquid and gas

Explanation:

However, mixture and compound are other things.

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