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
mel-nik [20]
4 years ago
10

A catapult is tested by Roman legionnaires. They tabulate the results in a papyrus and 2000 years later the archaeological team

reads (distances translated into modern units): Range = 0.4 km; angle of launch = π/5 rad; landing height = launch height. What is the initial velocity of launch of the boulders if air resistance is negligible?
Physics
2 answers:
pochemuha4 years ago
5 0

Answer:

64.2 m/s

Explanation:

In the x direction:

x = x₀ + v₀ₓ t + ½ at²

400 m = 0 m + v₀ cos (π/5) t + ½ (0 m/s²) t²

t = 400 / (v₀ cos (π/5))

In the y direction:

y = y₀ + v₀ᵧ t + ½ gt²

0 m = 0 m + v₀ sin (π/5) t + ½ (-9.8 m/s²) t²

0 = v₀ sin (π/5) - 4.9 t

t = v₀ sin (π/5) / 4.9

Therefore:

400 / (v₀ cos (π/5)) = v₀ sin (π/5) / 4.9

1960 = v₀² sin (π/5) cos(π/5)

1960 = ½ v₀² sin(2π/5)

3920 / sin(2π/5) = v₀²

v₀ = 64.2 m/s

yan [13]4 years ago
3 0

Answer:

Initial velocity = 423.08m/s

Explanation:

Using formular for Range of projectile

R =V^2 sin2theta/g

Given:

Range=0.4km= 400m

Theta=3.142/5

g= 9.8m/s^2

400= V^2×sin(2×3.142/5)/9.8

400×9.8= V^2Sin 1.26

3920= 0.0219V^2

V^2= 3920/0.0219

V^2= 178995.43

V=sqrt 178995.43

V= 423.08m/s

You might be interested in
Suppose that the ultrasound source placed on the mother's abdomen produces sound at a frequency 2 MHz (a megahertz is 10^610 ​6
ella [17]

Answer:

the maximum frequency observed is 2.0044 10⁶ Hz

Explanation:

This is a Doppler effect exercise. Where the emitter is still and the receiver is mobile, therefore the expression that describes the process is

          f ’= f_o \ ( \frac{v \pm  v_o}{v} )

the + sign is used when the observer approaches the source

typical speeds of a baby's heart stop are around 200 m / min

let's reduce to SI units

        v₀ = 200 m / min (1 min / 60 s) = 3.33 m / s

let's calculate

         f ’= 2 10⁶ (\frac{1500 \ \pm 3.33}{1500})  

         f ’= 2.0044 10⁶ Hz

         f ’= 1,9956 10⁶ Hz

therefore the maximum frequency observed is 2.0044 10⁶ Hz

8 0
3 years ago
3. A roller-coaster car is moving over the top of a hill. At the instant it is on the hill top, it has a kinetic energy of E and
aleksandrvk [35]

Answer:

The correct option is (b).

Explanation:

Given that,

At the top of the hill, the kinetic energy is E and the gravitational potential energy is 3E.

We need to find the kinetic energy of the car on the ground.

We know that,

Mechanical energy = kinetic energy + potential energy

According to the law of conservation of energy, the total mechanical energy is conserved.

It means, when it coasts down to ground level, the kinetic energy is same as that on the top of the hill. Hence, the required kinetic energy on the ground is equal to 3E.

8 0
3 years ago
How many planets are in our solar system? and how many moons are there in total?
Step2247 [10]

There are NINE planets in our solar system: Mars, Venus, Jupiter, Saturn, Uranus, Neptune, Earth, Mercury, Pluto.

As of this year, there are 350 moons in our solar system, 175 of which orbit about our planets.

I hope this helps!

5 0
4 years ago
Read 2 more answers
What process occurs when all of the energy from light waves is transferred to a medium?
nadya68 [22]
Absorption occurs when <span>all of the energy from light waves is transferred to a medium! </span>
7 0
3 years ago
Read 2 more answers
At a certain altitude above the Earth's surface, the electric field has a magnitude of 135 V/m. How much energy is stored in 1.0
Paul [167]

Answer:

Explanation:

Given that,

Electric field E=135V/m

Energy stored in 1m³of air=?

The energy stored in an electric field is given as

u = ½ εo E²

Where

U is the energy stored

εo is permissivity and it value is 8.85×10^-12C²/N..m²

And E is the electric field

Then,

U=½×8.85×10^-12×135²

U=8.06×10^-8J/m³

Then, the energy stored in 1m³ of air is 8.06×10^-8 J/m³

4 0
3 years ago
Other questions:
  • Serena is mixing a material into a beaker filled with a liquid. She notices that the material seems to disappear into the liquid
    9·2 answers
  • Please help!!! what is the definition of ozone layer
    11·1 answer
  • A 600-g mass traveling at 8.0 m/s undergoes a head-on elastic collision with a 200-g mass traveling toward it also at 8.0 m/s. W
    9·1 answer
  • Question: Which one of the following foods contains simple carbohydrates?
    9·1 answer
  • How are energy of motion and speed are related to each other?
    10·1 answer
  • An unstable atomic nucleus of mass 1.80 10-26 kg initially at rest disintegrates into three particles. One of the particles, of
    6·1 answer
  • Someone had broken into Sam's house! Police came to investigate and a crime scene analyst collected evidence: broken glass, a pi
    13·2 answers
  • What is the density of cylindrical (coin) object if it has a mass of 0.69 kg , and a radius of 0.03 m, along with a thickness of
    12·1 answer
  • I NEED THIS ASAP I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED
    12·1 answer
  • 9. Which of the following is NOT a recommendation to help you succeed in this course?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!