1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ann [662]
4 years ago
14

The initial kinetic energy imparted to a 0.97 kg bullet is 1150 J. The acceleration of gravity is 9.81 m/s 2 . Neglecting air re

sistance, find the range of this projectile when it is fired at an angle such that the range equals the maximum height attained. Answer in units of km.
Physics
1 answer:
lys-0071 [83]4 years ago
6 0

Answer:

113.58 m

Explanation:

Range = Maximum Height

\frac{u^{2}Sin2\theta }{g}=\frac{u^{2}Sin^{2}\theta }{2g}

tan θ = 4

θ = 76 degree

Let u be the velocity of projection

K = 1/2 x m x u^2

1150 = 0.5 x 0.97 x u^2

u = 48.7 m/s

Range = [tex]\frac{u^{2}Sin2\theta }{g}

R = (48.7 x 48.7 x 2 x Sin 76 x Cos 76) / 9.8 = 113.58 m

You might be interested in
A student throws a heavy red ball horizontally from a balcony of a tall building with an initial speed v0. At the same time, a s
liraira [26]

Without air resistance, both balls reach the ground at the same instant.

Neither horizontal motion nor weight affects vertical motion.

6 0
4 years ago
An elementary particle of mass m completely absorbs a photon, after which its mass is 1.01m. (a) what was the energy of the inco
sdas [7]
A.) We use the famous equation proposed by Albert Einstein written below:

E = Δmc²
where
E is the energy of the photon
Δm is the mass defect, or the difference of the mass before and after the reaction
c is the speed of light equal to 3×10⁸ m/s

Substituting the value:

E = (1.01m - m)*(3×10⁸ m/s) = 0.01mc² = 3×10⁶ Joules

b) The actual energy may be even greater than 3×10⁶ Joules because some of the energy may have been dissipated. Not all of the energy will be absorbed by the photon. Some energy would be dissipated to the surroundings.
8 0
3 years ago
What is the index of retraction?
poizon [28]

Light bends when it travels from a certain density of matter into a different density of matter. The density of the stuff affects how much it bends. Light bends when it transitions from air to water or from water to air. Light bends when it travels from water to glass or from glass to air. How much light is bent by a particular substance may be determined by its index of refraction. However, Snell's Law and the angle of incidence must be coupled. The angle of refraction increases with increasing angle of incidence. As a result, the water's unique index of refraction bends light entering the medium at an angle of 30°. and that is 1.33.  This means that light in a vacuum travels at 1.33 times faster than light in water. We wouldn't have lenses in the way we do now without refractive index. We would need eyes with pinhole-sized openings in order to see, which would prevent us from seeing clearly or at least in great detail. We wouldn't have had microscopes to view anything in great detail, telescopes to view the moon, planets, or distant things. I could go on, but I think you get the idea: if we didn't have the material characteristic known as refraction, things would be quite different. Well, I guess it's possible that human eyes have evolved to have diffractive lenses, but that's another theory.

________________________

The ability of a substance, whether it is solid, liquid, or gas, to reflect light causes it to move more slowly than it would in a vacuum.

Any substance's refractive index (n) is found by dividing the speed of light in that substance by the speed of light in a vacuum (c) (v).

So

n = c/v

Since a material's refractive index varies depending on the wavelength of light, n = f(wavelength) (n is a function of wavelength). In comparison to longer wavelengths, the index is larger for shorter wavelengths. It's known as dispersion.

When creating lenses or other refractive optical systems, the refractive index and dispersion are both crucial factors. The diverse wavelengths don't come to a common focus, which has a disastrous effect on image quality because index is directly related to how light bends while passing through a lens. We refer to this as chromatic aberration. It's difficult to regulate, but you can achieve it by carefully selecting various glass chemistries and massaging them into position. The glass map showing index as a function of inverse dispersion is seen in the image below. About 20 to 100 is the range of the Abby number, a measure of dispersion; lower numbers indicate more dispersion (larger index difference between red and blue light). Every dot stands for a distinct glass.

Refractive indices range from 1.0003 for air, to over 4.5 for Geranium.

3 0
2 years ago
True or False <br>One of the objections to the solar nebula theory is the angular momentum problem.
KengaRu [80]

Answer:

False, the angular momentum problem is not one of the objections to the solar nebular theory.

5 0
3 years ago
What is the main thing that holds soil in place ?
il63 [147K]

Answer:

Trees' roots

Explanation:

This is why the flood always happens at deforested places.

5 0
3 years ago
Other questions:
  • A cylinder has a radius of 4 inches (in.) . If its volume is 144 pi cubic inches (in.^ 3 ) what is the height of the cylinder?
    5·1 answer
  • Select all that apply. Which of the following would increase the conductivity of a connecting wire?
    14·1 answer
  • Need answer ASAP plsssssssssssssssssssssss
    10·1 answer
  • A roller coaster starts at the top of a hill of height h, goes down the hill, and does a circular loop of radius r before contin
    15·1 answer
  • If the weight of displaced liquid and the weight of an object are the same, the object will:
    13·2 answers
  • Suppose you throw a ball vertically upward with a speed of 49 m/s. Neglecting air friction, what would be the height of the ball
    10·1 answer
  • A parallel-plate capacitor has plates of area A. The plates are initially separated by a distance d, but this distance can be va
    13·1 answer
  • A certain radar installation tracks airplanes by transmitting electromagnetic radiation of wavelength 4.0 cm.
    11·2 answers
  • If you carry out an experiment measuring the weight and mass of objects in one particular location on the earth, what relation w
    12·2 answers
  • Write down short notes on:<br>a. Electrical energy​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!