Q4. A grasshopper jumps at an angle of
30° to the horizontal with a take off
speed of 3m/s
1.
What is the height of its jump? (2)
II.
How long is it above the ground?
(2)
III.
What is the range of its jump? (2)​

Answers

Answer 1

Answer:

i. The height of its jump is approximately 0.115 m

ii. The time of flight of its jump is approximately 0.306 seconds

iii. The range of its jump is approximately 0.795 m

Explanation:

The angle at which the grasshopper jumps, θ = 30°

The speed with which the grasshopper takes off, u = 3 m/s

i. The height of its jump 'h', is given by the following relation;

[tex]h = \dfrac{u^2 \times sin^2 \theta}{2 \times g}[/tex]

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

[tex]h \approx \dfrac{3^2 \times sin^2 (30^{\circ})}{2 \times 9.81} = \dfrac{25}{218} \approx 0.115[/tex]

The height of its jump, h ≈ 0.115 m

ii. The time of flight of its jump, 't', is given as follows;

[tex]The \ time \ of \ flight, \, t = \dfrac{2 \times u \times sin \theta}{ g}[/tex]

Therefore;

[tex]t \approx \dfrac{2 \times 3 \times sin (30 ^ {\circ})}{ 9.81} = \dfrac{100}{327} \approx 0.306[/tex]

The time of flight of its jump, t ≈ 0.306 seconds

iii. The range of the jump is given by the following projectile motion equation for the range as follows;

[tex]R = \dfrac{u^2 \times sin (2 \times \theta)}{ g}[/tex]

Therefore;

[tex]R \approx \dfrac{3^2 \times sin (2 \times 30^ {\circ})}{ 9.81} = \dfrac{41659} {52433} \approx 0.795[/tex]

The range of the jump, R ≈ 0.795 m.


Related Questions

Using the balanced equation below,
how many grams of manganese(III)
oxide would be produced from the
complete reaction of 46.8 g of zinc?
Zn + 2MnO2 + H20 — Zn(OH)2 + Mn203

Answers

Answer: The mass of manganese(III) oxide produced is 113.03 g

Explanation:

The number of moles is defined as the ratio of the mass of a substance to its molar mass. The equation used is:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ......(1)

Given mass of zinc = 46.8 g

Molar mass of zinc = 65.38 g/mol

Plugging values in equation 1:

[tex]\text{Moles of zinc}=\frac{46.8g}{65.38g/mol}=0.716 mol[/tex]

The given chemical equation follows:

[tex]Zn+2MnO_2+H_2O\rightarrow Zn(OH)_2+Mn_2O_3[/tex]

By the stoichiometry of the reaction:

If 1 mole of zinc produces 1 mole of manganese(III) oxide

So, 0.716 moles of zinc will produce = [tex]\frac{1}{1}\times 0.716=0.716mol[/tex] of manganese(III) oxide

Molar mass of manganese(III) oxide = 157.87 g/mol

Plugging values in equation 1:

[tex]\text{Mass of manganese(III) oxide}=(0.716mol\times 157.87g/mol)=113.03g[/tex]

Hence, the mass of manganese(III) oxide produced is 113.03 g

For a reaction, Delta * H ^ 0 = - 75KJ / m * o * l and triangle S^ 0 =-0.081KJ/(K* mol) . At what temperatures is this reaction spontaneous?

Answers

Answer:

At temperatures below 924.93K.

Explanation:

Hello there!

In this case, according to the thermodynamic definition of the Gibbs free energy of reaction:

[tex]\Delta G=\Delta H-T\Delta S[/tex]

Now, for us to determine the correct temperature range, we must make ΔG=0 and solve for T:

[tex]T=\frac{\Delta H}{\Delta S} =\frac{-75kJ/mol}{-0.081kJ/mol-K}\\\\T=925.93K[/tex]

Thus at temperatures below 925.93 K we will have an spontaneous reaction (ΔG<0).

Regards!

Describe the trends in properties of chlorides across period 3 .Their formula .Their state .Their volatility .Their structure .The ph of aqueous chloride solution

Answers

Answer:

See explanation

Explanation:

Period 3 elements include; Na, Mg, Al, Si, P,S,Cl and Ar

Across the period, the chlorides of the elements change from solid to gas. The chlorides of metals are solid while the chlorides of non metals are gaseous.

Also, the chlorides become more volatile across the period. The formulas of the chlorides change from MCl to MCl2 to MCl3 to MCl4, MCl5 and MCl6 respectively across the period where M is a period 3 element.

The pH of the solutions of chlorides of period 3 elements change from neutral to acidic across the period. The pH of the chlorides of metals are neutral while the chlorides of the nonmetals usually yield acid solutions.

What is the number of carbon atoms in a cycloalkyne with 8 hydrogen atoms

Answers

Answer:

4

Explanation:

C4H8


What is the amount of sodium hydroxide, NaOH, in 4.6 g? Use the values given for
the atomic mass of Na, H, and O.
6
Na = 22.989 770 u
H = 1.007 94u
0 = 15.99944
9
a) 0.19 mol
12
b) 0.12 mol
15
c) 1.8 x 102 mol
d) 0.20 mol

Answers

Answer:  0.12 Mol

Explanation:  Molecular mass of NaOH is = 39,997 g/mol which is Atomic mass of Na + Atomic Mass of H + Atomic mass of O

4.6g / 39.997g/mol = 0.12 mol

Th following diagram is an example of a(n) [Hurry!!]

A. Covalent Bond
B. Ionic Bond
C. Metallic Bond

Answers

The following diagram is an example of a(n) [Hurry!!]

A. Covalent Bond ✓ answer

B. Ionic Bond

C. Metallic Bond

Answer:

This is the diagram of covalent bond

1. An atom of an elephant has atomic mass of 39 and has number of neutrons as 20 calculate protons number.
2. An atom of an elephant has the atomic number of 13 and 14 neutrons
A. What is the mass number
B. write the nuclear notation given the atoms as X.
C. How many electrons does atom X have?
D. what is number of protons.

Answers

Answer:

See Explanation

Explanation:

1) Let us recall that;

Mass number = number of protons + number of neutrons

Where;

Number of protons = ?

Number of neutrons =20

Mass number =39

Number of protons = mass number - number of neutrons

Mass of protons =39 - 20= 19 protons

2) Atomic number = 13

Number of neutrons =14

Then the mass number =13 +14 =27

The symbol of the element is 27X13

The number of protons= the number of electrons =13

The atomic number is the same as the proton number =13

A seais usually defined as A.A body of freshwater that is not connected to the ocean B. A body of freshwater that is connected to the ocean C. A body of salt water that is not connected to the ocean D. Body of salt water that is connected to the ocean

Answers

Answer:

D. Body of salt water that is connected to the ocean

Explanation:

An ocean is a body of salt water which covers approximately 70% of the Earth's surface. About 97% of the Earth's water is comprised of ocean and as such it is the most prominent and defined feature of the Earth. There are basically four (4) categories of an oceanic basin and these are;

1. The Pacific ocean.

2. The Artic ocean.

3. The Atlantic ocean.

4. The Indian ocean.

A sea is usually defined as a body of salt water that is connected to the ocean and are surrounded (enclosed) by land partially.

Basically, a sea is formed where a land and an ocean meet and as a result, an ocean is usually bigger than a sea.

Some examples of seas around the world are Red sea, Mediterranean sea, Sargasso sea, Caribbean sea, Baltic sea, Caspian sea, Chuckchi sea, etc.

Answer:

Yes The Anwer is D Hope This Help:)

A d orbital can
hold ____ electrons.
A. 2
B. 6
C. 10
D. 14

Answers

Answer:

10 electrons

Explanation:

The answer is C. Ten electrons

What mass of methanol (CH3OH) is produced when 140.1 g of carbon
monoxide reacts with 12.12 g of hydrogen?
CO(g) + 2H2(g) → CH2OH()
A. 160.2g
B. 96.12 g
C. 6.06 g
D. 192.2g

Answers

Answer:

B. 96.12 g

Explanation:

To solve this question we must convert each reactant to moles. Using the balanced equation we can find limiting reactant. With moles of limiting reactant we can find the moles of methanol and its mass:

Moles CO -Molar mass: 28.01g/mol-

140.1g CO * (1mol / 28.01g) = 5.0 moles CO

Moles H2 -Molar mass: 2.01g/mol-

12.12g * (1mol / 2.01g) = 6.03 moles H2

For a complete reaction of 5.0 moles of CO are required:

5.0moles CO * (2mol H2 / 1mol CO) = 10.0 moles of H2 are required

As there are just 6.03 moles, H2 is limiting reactant.

The moles of methanol produced are:

6.03 moles H2 * (1mol CH3OH / 2mol H2) = 3.015 moles CH2OH

Mass CH3OH -Molar mass32.04g/mol-:

3.015 moles CH2OH * (32.04g/mol) =

96.6g CH3OH ≈ B. 96.12 g

which environment would experience more humidity
A: Desert
B: Grassland
C: Mountain
D: Swamp

Answers

Answer:

Explanation:

You'r answer should be D

What is the energy transformation from wind to usable energy

Answers

Answer:

A turbine takes the kinetic energy of a moving fluid, air in this case, and converts it to a rotary motion.

Explanation:

calculate the volume occupied by 15 moles of a gas at 1.14 atm and 265K. A-286.3L B-321.6L C-247.4L D-304.5L

Answers

Answer:

A- 286.3L

Explanation:

Using the ideal gas law equation;

PV = nRT

Where;

P = pressure (atm)

V = volume (L)

n = number of moles (mol)

R = gas law constant (0.0821 Latm/molK)

T = temperature (K)

According to the information given in this question;

P = 1.14atm

V = ?

n = 15moles

T = 265K

Using PV = nRT

V = nRT ÷ P

V = (15 × 0.0821 × 265) ÷ (1.14)

V = 326.35 ÷ 1.14

V = 286.27 L

V = 286.3L

True or False. The loads in a parallel circuit do not necessarily all have the same amount of current in them.

Answers

Answer:

TRUE

Explanation:

gases have maximum density and rigidity true or false​

Answers

Answer:

This statement is true.........

Answer:

i think true

Explanation:

Can you please help me with this?

What happens with the evaporation of raindrops in the atmosphere?

Answers

Answer:

they become water vapor and after that, they become a type of precipitation

The evaporation of a drop of water in an air stream is determined by the rate of transfer of heat and water vapour between the drop surface and the ambient air. If these transfer processes are governed by molecular diffusion the appropriate equations take a well known form. I hope this can help

how many elements are in 3cacl2

Answers

Calcium 3 and chlorine 6
There are 2 elements in it. Elements are what are on the periodic table. The Ca is an element and Cl is an element. It doesn’t matter how much there is of each. There are still only 2 elements.

Is there any evidence that the particles in a solid and liquid move? Provide examples.

Answers

Answer:

maybe not solid but a liquid yes

Answer:

yes

Explanation:

the molecules move

What is Rin the ideal gas law equation?
A. The kinetic energy of the gas
B. The molar mass of the gas
C. The number of moles of the gas
D. The ideal gas constant

Answers

Answer:

R is the ideal gas constant

Check all that indicate a chemical change. Check all that apply. Group of answer choices aqueous solutions of silver nitrate and sodium chloride turn cloudy after mixing aqueous solutions of hydrochloric acid and sodium hydrogen carbonate produces bubbles on mixing Sodium hydroxide is mixed with water and the container feels warmer Water is added to orange juice is the color becomes lighter. No answer text provided. ice melts on a bench top at room temperature

Answers

Answer:

aqueous solutions of silver nitrate and sodium chloride turn cloudy after mixing aqueous solutions of hydrochloric acid and sodium hydrogen carbonate produces bubbles on mixing Sodium hydroxide is mixed with water and the container feels warmer

Explanation:

A chemical change involves the formation of new substances. Also heat is absorbed or released in a chemical change. Another name for a chemical change is a chemical reaction.

In the first case, a reaction of the sort;

AgNO3(aq) + NaCl(aq) ---> AgCl(s) + NaNO3(aq)

The cloudy solution is due to the formation of AgCl precipitate.

In the second case, a reaction of the sort;

HCl(aq) + NaHCO3(aq) ---> NaCl(aq) + CO2(g) + H2O(l)

The gas evolved is due to the formation of CO2 in the process. Heat is also evolved showing that it is a chemical change.

Why might having mud in an ecosystem be important?

Mud can replace producers in an ecosystem.

Pigs love to wallow in mud.

Mud can replace consumers in an ecosystem.

An insect needs mud wallows to breed; that insect pollinates several flowers in that ecosystem.

plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss answer with one of the options

Answers

An insect needs mud wallows to breed; that insect pollinates several flowers in that ecosystem.

Having mud in an ecosystem is important because Insects are very important as primary or secondary decomposers in the ecosystem. These insects need mud wallows to breed. That insect pollinates several flowers in that ecosystem.

Why do insects like mud?Muddy sediments recycle organic matter back into nutrients for plant photosynthesis. Butterflies and other insects search for moisture, salt, and other nutrients. It's not just damp patches of soil that draw butterflies. Some are attracted by wet sand and dung.An insect needs mud wallows to breed.

How do insects play an important role in the ecosystem?Insects like Bees are some of the most important pollinators in the ecosystem.Without bees, most of the plants we rely on would not be able to produce most of the food we eat.

Therefore, the mud in an ecosystem is most important as it provides a place for insects to breed and these insects play a major role in the ecosystem like pollination.

Learn more about insect pollination here:

https://brainly.com/question/11204416

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How many grams of Potassium are in 10 moles of potassium?

Answers

Answer:

You can view more details on each measurement unit: molecular weight of Potassium or grams The molecular formula for Potassium is K. The SI base unit for amount of substance is the mole. 1 mole is equal to 1 moles Potassium, or 39.0983 grams.

Explanation:

What is a gas’s temperature in Celsius when it has a volume of 25 L, 203 mol, 143.5 atm?

Answers

To Find :

Gas’s temperature in Celsius when it has a volume of 25 L, 203 mol, 143.5 atm .

Solution :

We know, by ideal gas equation :

[tex]PV =nRT\\\\T = \dfrac{PV}{nR}[/tex]

Here, R is universal gas constant and [tex]R = 0.082 \ L \ atm \ mol^{-1} \ K^{1}[/tex]

Putting all given values and R in above equation, we get :

[tex]T = \dfrac{PV}{nR}\\\\T = \dfrac{143.5\times 25}{203 \times 0.082}\ K\\\\T = 215.52\ K[/tex]

Hence, this is the required solution.

where is reverse osmosis used​

Answers

Answer:

Reverse osmosis systems find frequent use in the following: Boiler feed-water treatment: used to reduce solids content of waters prior to feeding into boilers for power generation or otherwise.

Explanation:

Calculate the mass of oxygen produced when 2000 kg of aluminium oxide is completely electrolysed.​

Answers

Answer:

Explanation:

Given that:

The mass of aluminium oxide Al₂O₃ = 2000 kg = 2000 000 g

Molar mass of Al₂O₃ = 101.96 g/mol

no of moles = mass / molar mass

no of moles of Al₂O₃ = 2000 000 g/ 101.96 g/mol

no of moles of Al₂O₃ = 19615.4 mol

From the reaction:

4Al + 3O₂  ⇒  Al₂O₃

To determine the moles of O₂ in Al₂O₃:

Then;

19615.4 mol * 3/2 mol of O₂ = 29423.1

The mass of oxygen now = 29423.1  × 32 g

= 941539.2 g

To kg;

= (941539.2 / 1000) kg

= 941.5 kg

Q1 and Q1 represent ?

Answers

Answer:yes they do represent

Help! Locks at 12

Given the balanced equation representing a nuclear reaction:

Which particle is represented by X?

Answers

Answer is #4 (neutrons)

Explanation:

Total mass before the reaction is 236 amu. The total mass of the two elements is 233 amu. This means that there are 3 amus carried by element X. Looking at the total atomic number of the two elements after reaction, it's 92, the same as the one at the beginning. This means that element X has zero atomic number, which could only be a neutron.

Answer: is 4

Explanation:

I was doing the same one

A mixture of gases with a pressure of 900 mm Hg contains 20% of oxygen and 80% of nitrogen by volumeWhat is the partial pressure of the oxygen gas in the mixture?
A-45mmHg
B-180mmHg
C-210 mmHg
D-320 mmHg

Answers

Answer:

180 mmHg

Explanation:

Total volume of gases = 20% + 80%= 100%

Total pressure of gases = 900 mm Hg

Note that partial pressure of a gas = mole fraction × total pressure

Mole fraction of oxygen = 20/100

Hence partial pressure of oxygen= 20/100 × 900 mm Hg

partial pressure of oxygen= 180 mmHg

A haloalkane 'X' if heated with sodium metal in presence of dry ether produces
2,3 - dimethyl butane
as major product
Identify x with chemical reaction.​

Answers

Answer:

2 halo - propane

Explanation:

We are told that a halo alkane is heated with sodium in the presence of dry ether to produce 2,3 - dimethyl butane.

Now, according to Wurtz reaction this formation from heating with sodium in the presence of dry ether is done by 2 alkyl halides in the form of;

2RX + 2Na → R−R + 2Na+X−

Now, formula for 2,3 dimethyl butane is (CH₃)₂CHCH(CH₃)₂

Thus, from the Wurtz reaction, we can write that;

2RX + 2Na → (CH₃)₂CH - CH(CH₃)₂ + 2Na+X−

So, R = (CH₃)₂CH

This means the original halo alkane has 3 carbon atoms and thus, we can say it is 2 halo - propane.

4. (08.01 MC)
Which of the following describes a unique property of water that helps sustain marine life? (5 points)
It freezes upward from the bottom unlike other liquids that freeze downward from the top.
It has a lower density in its solid state than it does in its liquid state.
It shows changes in density at temperatures above 4 °C.
Am It cools faster and heats up faster than most other liquids.

Answers

Answer:

It has a lower density in its solild stae than it does in its liquid state.

Explanation:

Ice floats, allowing life underneath to leave despite the top freezing.

The statement that describes a unique property of water that helps sustain marine life is that has a lower density in its solid state than it does in its liquid state.

What are the unique properties of water?

Water is a unique molecule that possesses unique properties as follows:

Water is polarWater is an excellent solventWater has high heat capacityWater has high heat of vaporizationWater has cohesive and adhesive propertiesWater is less dense as a solid than as a liquid

These unique characteristics of water helps aquatic organisms sustain life in a marine environment.

Therefore, statement that describes a unique property of water that helps sustain marine life is that has a lower density in its solid state than it does in its liquid state.

Learn more about water at: https://brainly.com/question/19920929

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