A dart is thrown from 1.50 m high at 10.0 m/s toward a target 1.73 m from the ground. At what angle was the dart thrown?

Answers

Answer 1

Answer:

The angle of projection is 12.26⁰.

Explanation:

Given;

initial position of the dart, h₀ = 1.50 m

height above the ground reached by the dart, h₁ = 1.73 m

maximum height reached by the dart, Hm = h₁ - h₀ = 1.73 m - 1.50 m= 0.23 m

velocity of the dart, u = 10 m/s

The maximum height reached by the projectile is calculated as;

[tex]H_m = \frac{u^2sin^2 \theta}{2g}[/tex]

where;

θ is angle of projection

g is acceleration due to gravity = 9.8 m/s²

[tex]H_m = \frac{u^2sin^2 \theta}{2g}\\\\sin^2 \theta = \frac{H_m \ \times \ 2g}{u^2} \\\\sin^2 \theta = \frac{0.23 \ \times \ 2(9.8)}{10^2} \\\\sin ^2\theta =0.04508\\\\sin \theta = \sqrt{0.04508} \\\\sin \theta = 0.2123\\\\\theta = sin^{-1}(0.2123)\\\\\theta = 12.26^0[/tex]

Therefore, the angle of projection is 12.26⁰.


Related Questions

Which graph accurately shows the relationship between kinetic energy and mass as mass increases

Answers

Answer:

c

Explanation:

energy doesnt affect to mass of a object

a ball is thrown vertically upwards from the ground. The ball rises and falls back to the ground. Describe the changes in the mechanical energy of the ball as it rises.

Answers

Answer:

as the ball is thrown, the enegry rises up, when it falls, the ball relseases all energy

Explanation:

A 2.0 kg block is pulled across a horizontal surface by a 15 N force at a constant velocity.a. What is the net force acting on the block?

Answers

Answer:

0

Explanation:

the block is being pulled at a constant velocity meaning it has no acceleration. the rule is fnet=mass x acceleration so if theres no acceleration there is no force net!

A block of mass 2 kg is pulled across a surface with a force of 15 N then the net force acting on the block is 0.

What is Force?

A force is an effect that can alter an object's motion according to physics. A force might cause an object has mass to accelerate when it changes its velocity, for, us when it moves away from rest. An obvious way to describe force is in terms of push or pull. A force is a vector quantity since it has equal magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.

The net force exerted by an object was equal to the speed at which its velocity varies over time, according to Newton's second law in its original formulation.

The block has no acceleration because it is being pushed at a constant speed. If there is no acceleration, there is no force net because the formula is net force =mass × acceleration.

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Which is NOT a part of an electric motor?
a.
armature
b.
brushes
c.
commutator
d.
slip ring

Answers

D. Slip ring, hope this helps

Which graph accurately shows the relationship between kinetic energy and speed as speed increases?

Answers

Answer:

B

Explanation:

kinetic energy (KE) is the energy possessed by moving bodies. It can be expressed as:

KE = [tex]\frac{1}{2}[/tex]m[tex]v^{2}[/tex]

Where: m is the mass of the object, and v its speed.

For example, a stone of mass 2kg was thrown and moves with a speed of 3 m/s. Determine the kinetic energy of the stone.

Thus,

KE =  [tex]\frac{1}{2}[/tex] x 2 x [tex]3^{2}[/tex]

     = 9

KE = 9.0 Joules

Assume that the speed of the stone was 4 m/s, then its KE would be:

KE =  [tex]\frac{1}{2}[/tex] x 2 x [tex]4^{2}[/tex]

     = 16

KE = 16.0 Joules

Therefore, it can be observed that as speed increases, the kinetic energy increases. Thus option B is appropriate.

What is a type of light that the sun emits but a light bulb does not?
Gamma ray
X-ray
Ultra violet (UV)
Visible
Infrared (IR)
Microwave
Radio

Answers

Household lightbulbs don't emit radio, microwave, X-rays or gamma rays, and only a smidgen of ultraviolet.

The sun emits everything on the list.

The Sun emits many types of  light , the ultraviolet, X-ray, and even gamma-ray, radio and infrared parts of the spectrum.

The light bulb emits very small amounts of UV light.

The Sun emits many types of  light , the ultraviolet, X-ray, and even gamma-ray parts of the spectrum.But most of the Sun's light is in the infrared, visible, and ultraviolet parts of the electromagnetic spectrum.The Incandescent light bulbs, the most commonly used light bulbs in homes, give off small amounts of UV light. The UV light emitted by these bulbs is so small that it's impossible for human health to be affected in any way.

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how many elements does lythium have

Answers

Answer:

three 3

Explanation:

A sprinter runs at a forward velocity of 8.94 m/s. If the sprinter has a mass of 62.4 kg, what is the sprinter's kinetic energy?
1. 2500 J
2. 249 J
3. 249.3 J
4. 2490 J
Plzzz help me!!!

Answers

Answer: 2490 J

Explanation:

The formula to calculate kinetic energy is 1/2mv² where,

m = mass = 62.4

v = velocity = 8.94

Kinetic energy = 1/2mv²

= 1/2 × 62.4 × 8.94²

= 1/2 × 62.4 × 79.9236

= 2493.6J

The closest answer is option D.

A car moving round a circular racing track takes 120s to do a lap of 8km what is the speed in km/hr.

Answers

Answer:

Solution in photo

Explanation:

A car moves around in a circular racing track, and it takes 120 seconds to do a lap of 8 km, so the speed in km/hr is 239.76 km/hr.

What is Speed?

The speed of an object, commonly known as v in mechanics, is a scalar quantity that corresponds towards the size of the change in that object's position over duration or the size of the change in that object's position per unit of time.

The instantaneous velocity is the absolute maximum of the average speed as the time interval's duration gets closer to zero. The cruising pace of an object in a time interval is calculated by dividing its distance traveled by the time interval's duration. Velocity and speed are different concepts.

The given data according to the question is,

Time, t = 120 s

Distance, d = 8 km

s = 8/120

s =0.0666 km/sec or

s = 0.0666/1s × 3600

s = 239.76 km/hr.

Therefore, the speed is 239.76 km/hr.

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6. What charge is in the nucleus?
a. negative charge
b. positive charge
C. no charge
d. positive and negative charges

Answers

The nucleus is a Negative charge I believe
The nucleus has a positive charge because it contains the protons :)) hope this helped

Hooke's Law Question - Will mark brainliest

A spring of natural length 10cm and spring constant 4.00Ncm −1 has a load of 22.0N placed on it. What is its new length?

Answers

Explanation:

Hooke's Law: Fe = kx

x = Fe / k = (22.0N) / (4.00N/cm) = 5.50cm.

10.00cm + 5.50cm = 15.50cm

The new length of the spring is 15.50cm.

Ammonite fossils are not found in the top two layers. What does this mean?

Answers

Answer:

Im not sure, are there options for it?

Explanation:

When you heat water, it changes from-- *
A a gas to a liquid
B a liquid to a gas.
C a liquid to a solid

Answers

Answer:

Hi! It's B - liquid to a gas.

Correct answer in this scenario would be B: A liquid to a gas

A distance of 0.002 m separates two objects of equal mass. If the gravitational force between them is
0.0104 N, find the mass of each object.​

Answers

Answer: 24.97 kg

Explanation:

The gravitational force between two objects of masses M1, and M2 respectively, and separated by a distance R, is:

F = G*(M1*M2)/R^2

Where G is the gravitational constant:

G = 6.67*10^-11 m^3/(kg*s^2)

In this case, we know that

R = 0.002m

F = 0.0104 N

and that M1 = M2 = M

And we want to find the value of M, then we can replace those values in the equation to get

0.0104 N = (6.67*10^-11 m^3/(kg*s^2))*(M*M)/(0.002m)^2

(0.0104 N)*(0.002m)^2/(6.67*10^-11 m^3/(kg*s^2)) = M^2

623.69 kg^2 = M^2

√(623.69 kg^2) = M = 24.97 kg

This means that the mass of each object is 24.97 kg

A term used to describe a critical assessment of how an athlete acts and what they achieve either during a match or while training is known as:
A. SMART Target
B. Area of improvement
C. Performance analysis
D. Measurement of success

Answers

Answer:

I believe D

Explanation:

I'm not for sure but I think it is D

please help me!! will mark brainliest

Answers

You draw it with a pencil I just did this

If the body's temperature is above 105 °F for a prolonged period, heat stroke
can result. Express this temperature on the Celsius scale.
OA 40.5°C
OB 58.3°C
OC 76.1°C
KOD 131.4°C

Answers

Answer:

A

Explanation:

C = (F-32)*5/9 = 73*5/9 = 40.55555

since the answers are spread apart, technically you can just estimate by doing -32

and then /2

since 5/9 is close to 1/2

wooden block has a mass of 0.2 kg, has a specific heat of 710 J/(kg°C), and is a temperature of 20.0°C.
What is the block’s final temperature if its thermal energy increases by 2130 J?

Answers

Answer:

The final temperature is 35 °C.

Explanation:

Given that,

Mass of the wooden block, m = 0.2 kg

The specific heat of the block, c = 710 J/(kg°C)

Initial temperature, [tex]T_i=20^{\circ} C[/tex]

Thermal energy, Q = 2130 J

We need to find the block's final temperature. The thermal energy due to change in temperature is given by :

[tex]Q=mc(T_f-T_i)\\\\T_i\ \text{is initial temperature}\\\\\dfrac{Q}{mc}=(T_f-T_i)\\\\T_f=\dfrac{Q}{mc}+T_i\\\\T_f=\dfrac{2130}{0.2\times 710 }+20\\\\T_f=35^{\circ} C[/tex]

So, the final temperature is 35 °C.

Which lighting source has lower energy costs and a longer life but can be dangerous?
a. fluorescent
b. laser
c. incandescent
d. neon

Answers

Answer: I'm like 98% sure it's fluorescent cause it's got mercury

Explanation:

A dog starts at position x=2.50m, and undergoes a displacement of 8.25m. What is its final position?

Answers

Answer:

Civil law deals with behavior that constitutes an injury to an individual or other private party, such as a corporation. Examples are defamation (including libel and slander), breach of contract, negligence resulting in injury or death, and property damage.

Explanation:

10.75 m


Displacement is how far the dog is from its original position so use, addition initial + displacement = final
2.50+8.25=10.75

Would a ship in Lake Ontario (fresh water) float higher or lower in the water than in the Atlantic Ocean (salt water)?

Answers

Atlantic Ocean (salt water)

How can shorter string produce more fundamental frequency in two string of different length?​

Answers

Answer:

Shorter string produces more frequency in two different strings because the equation for frequency is velocity/wavelength , this means that a shorter string creates a shorter wavelength which essentially increases the total frequency produced

Two charged objects originally felt 12N of attraction. One charge is changed from to 3C to 6C and their distance changes from 15cm apart to 45cm apart. What is the new force of attraction ?

Answers

Given that,

Initial force, F = 12 N

First initial charge, q₁ = 3C

First new charge, q₁' = 6C

Initial distance, r = 15 cm

New distance, r' = 45 cm

To find,

The new force of attraction.

Solution,

The force between two charges is given by :

[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]

[tex]12=k\dfrac{3\times q_2}{15^2}\ ....(1)[/tex]

Let F' is the new force.

[tex]F'=k\dfrac{q_1'q_2'}{r'^2}[/tex]

[tex]F'=\dfrac{k\times 6\times q_2}{(45)^2}\ ...(2)[/tex]

As q₂ is same in this case.

Dividing equation (1) and (2) :

[tex]\dfrac{F}{F'}=\dfrac{k\dfrac{3q_2}{15^2}}{\dfrac{k\times 6\times q_2}{45^2}}\\\\\dfrac{12}{F'}=4.5\\\\F'=\dfrac{12}{4.5}\\\\F'=2.67\ N[/tex]

So, the new force of attraction is 2.67 N.

why does the fire snake weight less than it was when it was on fire

Answers

Answer:

When Zoe weighs the ingredients (sugar and baking soda), it weighs 25 grams in total. When she weighs the “snake” it weighs 23 grams. This is because some carbon dioxide gas produced during the chemical reaction escapes into the air.

Transfer of charge by touching is called... induction or conduction?

Answers

Answer:

Transfer of charge by touching is called conduction.

You serve a volleyball with a mass of 1.4 kg. The ball leaves with a speed of 13 m/s. Calculate KE

Answers

Answer:

118.3 J

Explanation:

Givens:

m = 1.4 kg

V = 13 m/s

Formula for kinetic energy:

KE = (1/2)*(m)*(v)^2

KE = .5*(1.4 kg)*(13 m/s)^2

KE 118.3 J

J = Joules


Which statement accurately compares the trends in atomic number and atomic mass in the periodic table?
O The atomic number increases from left to right, while the atomic mass increases from right to left.
O The atomic mass increases from left to right, while the atomic number increases from right to left.
O Both the atomic mass and the atomic number increase from left to right.
O Both the atomic mass and the atomic number increase from right to left.

Answers

Answer:

C.

That is your answer  

Given the impulse acting on an object and the impact time which equation can be used to calculate the force applied to an object

Answers

Answer is D

Ndmdjdndbdjdkskd

The impulse acting on an object and the impact time, the equation F= I / Δt can be used to calculate the force applied to an object, therefore the correct answer is D.

What is impulse?

The product of the average applied force and the time for which it is exerted is known as an impulse.

the mathematical relation for impulse is

Impulse  = F * Δt

where F represents the force applied and Δt represents the time for which the force is applied

Thus, the correct equation that can be used to calculate the force applied to an object is F = I /Δt and the correct option is D.

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what reactions do catalytic converters catalyze

Answers

A catalytic converter is an exhaust emission control device that reduces toxic gases and pollutants in exhaust gas from an internal combustion engine into less-toxic pollutants by catalyzing a redox reaction (an oxidation and a reduction reaction).

1. Identify the phase or phases of matter (solids, liquids, and gases) that
apply to each statement. More than one phase of matter may apply to each
statement.
a. Molecules do not move around, but vibrate in place
b. Has volume but no particular shape
c. Flows
d. Molecules break free of intermolecular forces
e. Does not have a volume or shape
f. Molecules can move around and switch places, but remain close
together

Answers

Answer:

a: solid

b:  liquid

c: liquid

d: gas

e: gas

f:  liquid

Explanation:

According to the forces of attraction, the states of matter in each case serially are as follows: solid, liquid,liquid,gas,gas and liquid respectively.

What is matter?

Matter in chemistry, is defined as any kind of substance that has mass and occupies space that means it has volume .Matter is composed up of atoms which may or not be of same type.

Atoms are further made up of sub atomic particles which are the protons ,neutrons and the electrons .The matter can exist in various states such as solids, liquids and gases depending on the conditions of temperature and pressure.

The states of matter are inter convertible into each other by changing the parameters of temperature and pressure.Matter can neither be created nor destroyed rather is conserved at end of chemical change.

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