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:
[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].
Related Questions
A positively charged atom has
Answers
Answer:
Lost electrons
Explanation:
For a atom to become positively charged it needs to have more protons than electrons
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.
Which of the following elements are found in Group 1A (sometimes referred
to as Group 1)?
Check all that apply.
A. Potassium
B. Argon
C. Hydrogen
D. Krypton
Answers
Answer:
A. Potassium
C. Hydrogen
Explanation:
2. On a par 4 golf course, you make the ball in:
1. Hole in one
2. Birdie
3. Par
4. Eagle
5. Double bogey
6. Triple bogey
7. Bogey
a. 7 shots from the tee
b. 5 shots from the teel
c. 1 shot from the tee
d. 4 shots from the tee
e. 3 shots from the tee
f. 2 shots from the tee
g. 6 shots from the tee
Answers
2=e
3=d
4=f
5=g
6=a
7=b
Two grocery carts have the same initial total momentum. The two carts collide, and now cart B has a greater final velocity.
Which best describes the final total momentum of both the carts compared to the initial total momentum?
It is less if cart B has a smaller mass.
It is greater if cart B has a greater mass.
It is the same if no external forces are added.
It depends on the masses of cart A and cart B.
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 velocityAccording 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;
m₁ and m₂ are the masses of the two cartsu₁ and u₂ are the initial velocities of the two cartsv₁ and v₂ are the final velocities of the two carts after collisionThus, 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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What do all of the elements in group 13 have in common?
Answers
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/s²To 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)
CAN YOU THE 3 QUESTIONS ILL PUT U AS BRAINLEST!!!!
Answers
Answer: 1. 5 1/6 m/s 2. Traveling Left 3. 0.45
Explanation:
Please mark Brainliest!!!
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.
A speed racer travels 25.3 m/s in 9.6 s. How far did it travel?
Answers
Speed = 25.3 m/s
Time taken = 9.6 s
To be calculated:-Calculate the distance covered by a body.
Formula applied:-Speed = Distance/Time
Solution:-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]
[tex] \bf\implies \: Distance = 242.88 \: m \: (approx)[/tex]
Robin jogs with an average speed of 5.5 m/s for 3.3s.
What was her distance travelled in meters?
Answers
Answer:
18.15m
Explanation:
Speed * Time = Distance
5.5 * 3.3 = 18.15m
The distance traveled by Robin is equal to 18.15 m with an average speed of 5.5 m/s for 3.3s.
What is the average speed?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.
The average speed equation of a physical system can be written as follows:
Average speed = Total distance/total time taken
Given, the average speed of the Roin, = 5.5 m/s
The time is taken by Robin for jogging = 3.3 s
The average speed of the Robin can be determined as:
Average spped = Distance/ time
5.5 = Distance/3.3
Distance traveled by Robin = 5.5 × 3.3 = 18.15 m
Learn more about the average speed, here:
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A baseball player throws a baseball at 42 m/s. If the other player catching the baseball is 18 m from the player, how much time does it take the baseball to reach him?
Answers
Divide the distance by the speed:
(18 m) / (42 m/s) = 3/7 s ≈ 0.43 s
Starting from rest, a truck accelerated at a rate of 2 m/s to the right for 25 seconds. How far will the truck travel during this time period
Answers
Answer:
S= ?
V=2m/sec
t=25s
S=V*t
S=2*25
S=50m
Why us an element considered a pure substance
Answers
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.
Example:- pure Iron rod (iron is an element)is made up of many similar Iron atoms.
After you let go of a bowling ball, is there a force pushing it so that it keeps moving
forward? Explain.
Answers
Explanation:
No, the ball keeps moving forward due its momentum.
A net force causes an object to accelerate, which means it speeds up, slows down, or changes direction. A bowling ball does not speed up after you let go, so there is no forward force.
Which of the following are states of matter?
A. Gas
B. Compound
€. Mixture
D. Solid
E. Liquid
Answers
Answer:
Solid , liquid and gas
Explanation:
However, mixture and compound are other things.
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:
tightly packed protons and neutrons
Explanation:
give reason the si syetem of units is better than the mks system
Answers
is there a tutor available
A plane takes off at an angle of 30 degrees at a speed of 150 km/h. Determine the horizontal
and vertical components of this velocity vector.
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
what is the speed of a car that travels a distance of 200m in 2.3 seconds ?
Answers
Answer:
460metre per second
Explanation:
Speed = Distance x Time.
in your ans
A jogger runs the first 250 m of a race in 13.5 sec. What is the jogger's
velocity(m/s)?
Answers
Answer:
S=250 m
t=13.5 sec
V=?
Explanation:
V=S/t
V=250/13.5
V=18.51m/s
What aspect of motion can you conclude is common among freely falling objects ?
Answers
Answer:
Free-fall is defined as the movement where the only force acting on an object is the gravitational force.
By the second Newton's law, we have that:
F = m*a
Where F = Force, m = mass, a = acceleration.
We can write this as:
a = F/m
And the gravitational force can be written as:
F = (G*M/r^2)*m
Where G is the gravitational constant, M is the mass of the Earth in this case, and r is the distance between both objects (the center of the Earth and the free-falling object)
As the radius of the Earth is really big, the term inside the parentheses is almost constant in the region of interest, then we can write:
G*M/r^2 ≈ g
And the gravitational force is:
F = g*m
And by the second Newton's law we had:
a = F/m = (g*m)/m = g
a = g
Then the acceleration does not depend on the mass of the object.
Then the thing that is common among the free-falling objects is the vertical acceleration.
in general, as the human population increases which of the following is true? OA The amoum of habitat destroyed by people decreases OB. The sound of clean water available for use increases. OC. The amount of waste produced by people decreases D. The amount of resources used by people increases
Answers
which expression correctly describes energy using SI units
Answers
Answer:
Joule
Explanation:
energy, work, quantity of heat
m2·kg·s-2
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 -
In solids the atoms are tightly packed while in liquid they are loosely packed.In solids the density of atoms within a specific volume is very high while in liquid it can be either high or low.In solids, atoms are not free to move and they can only oscillate about their mean position while in liquid the atoms are free to move.Hence, it can be seen that the atoms of solids and liquids are quite different from each other.
To learn more about the Structure of matter, visit the link below-
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How does distance affect gravity???
Answers
Answer:no because distance is weaker than gravity
Explanation:the strenght of the gravita force between the two objects depend on two facto mass and distance the force of gravity the masses exert on each other increases the force of gravity decreases if the distance is doubled the force of gravity is one fourth as strong as before
distance travelled by a train is 495 km in 4 hours 30 minutes, what is its speed in m/s?
Answers
Answer:
9.09m/s
Explanation:
Speed = Distance/Time
Distance = 495km
Time = 4 hr 30 min = 4 hr 1/2hr = 4.5 hr
Therefore, Speed = 495/4.5 = 110km/h
Now to convert km/h to m/s
110 x 1000/ 110 x 110
110 cancels out each other, we are now left with
1000/110 = 9.09m/s
Write about natural indicators.
Answers
Hope this answers ur questions
Why do we insulate houses?
A. To prevent heat transfer from inside to
the outside
B. To allow energy to flow from inside to
the outside
C. To keep them cool in the winter and
warm in the summer
Answers
Which best describes internet wikis as a source of scientific information
Answers
Answer:
They are written or edited by anyone
Explanation: