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
Tom [10]
2 years ago
11

55. A projectile of mass 2.0 kg is fired in the air at an angle of 40.0° to the horizon at a speed of 50.0 m/s. At

Physics
1 answer:
Crank2 years ago
3 0

The total moment in an islated system remains constant through time. a) V₂ = <u>109.43 m/s </u>and V₃ = <u>33.33 m/s</u>. b) h = <u>56.67 m.</u> c) d = 480 m.

<h3>What is the law of conservation of momentum?</h3>

First let us remember that momentum or lineal momentum is a motion quantity. In physics it is the fundamental quantity that characterizes the motion of any object.

The momentum is a vectorial quantity that can be calculated as the product of the object mass by its lineal velocity ⇒ mv

The total lineal moment of a system constituted by a group of objects is the sum of the vectorial moments of each of the objects.

In an isolated system -the one that does not interact with the exterior environment-, the moment remains constant through time. This is the <u><em>law of conservation of momentum</em></u>. The initial moment is equal to the final moment ⇒ Pinitial = Pfinal

Objects involved in crushes, explosions, collitions, and others, are considered to be isolated systems.  

.......................

So, in the exposed example we know that,

  • Projectile mass ⇒2kg.
  • Velocity = 50 m/s.
  • Angle⇒ 40°.
  • Smaller masses ⇒ 1 kg with 10m/s speed, 0.7 kg, and 0.3 kg.

<u>a) </u>We need to calculate the speed of the 0.7 and 0.3 kg objects.

So, 0.7 kg object moves in the original forward direction, meaning that we can use the following formula to calculate its velocity,

m₀v₀ = m₂v₂

Where

  • m₀ = projectile mass = 2kg
  • v₀ = horizontal component of projectile velocity
  • m₂ = object mass = 0.7 kg
  • v₂ = object velocity = ??

So first, we need to get the horizontal component of projectile velocity, V₀.

V₀ = V cosθ

V₀ = 50 cos40º

<u>V₀ </u><u>= 38.3 m/s</u>

<u />

Now we can calculate the velocity of the 0.7 kg object.

m₀v₀ = m₂v₂

2 kg x 38.3 m/s = 0.7 kg x v₂

v₂ = (2 x 38.3) / 0.7

<u>v₂ </u><u>= 109.43 m/s</u>

<u />

Now we need to calculate the velocity of the 0.3 kg object. Since this part goes exactly in the opposite direction of the 10 kg object, their addition will equal zero. So we can use the following equation to calculate the velocity of the 0.3 kg object.

m₁v₁ + m₃v₃ = 0

Where

  • m₁ = 1 kg object mass
  • v₁ = 1 kg object velocity = 10m/s
  • m₃ = 0.3 kg object mass
  • v₃ = object velocity = ??

m₁v₁ + m₃v₃ = 0

(1 kg x 10m/s) + (0.3 kg x v₃ ) = 0

(0.3 kg x v₃ ) = - (1 kg x 10m/s)

v₃ = - (1 kg x 10m/s) / 0.3

<u>v₃ </u><u>= - 33.33 m/s</u>

<u />

The - sign is indicating the opposite direction concerning the 1 kg object.

<u>ANSWER</u>:

  • The speed of the 0.7 kg object is <u>109.43 m/s</u>
  • The speed of the 0.3 kg objects is <u>33.33 m/s</u>

<u />

.........................

<u />

<u>b)</u> We need to get the high from the break-up point where the 0.3-kg piece go before rest

At rest,

1/2 m₃v₃² = m₃gh

Where,

  • m₃ = 0.3 kg object mass
  • v₃ = object velocity = 33.33m/s
  • g = gravity = 9.8 m/s²
  • h = high = ??

1/2 m₃v₃² = m₃gh

h = 1/2 (v₃²) /g

h = 1/2 (33.33²) / 9.8

<u>h </u><u>= 56.67 m</u>

ANSWER: The high from the break-up point where the 0.3-kg piece go before coming to rest is <u>56.67 m.</u>

<u />

........................

c) Finally, we need to get where does the 0.7-kg piece land

ANSWER: The distance at which the 0.7 piece lands, concerning the point from which it was fired is <u>480 m</u>.

You can learn more about law of conservation of momentum at

brainly.com/question/17140635

brainly.com/question/1113396

#SPJ1

You might be interested in
We all depend on electricity. Most electricity is created by electromagnetic generators at large power plants and distributed th
Anuta_ua [19.1K]

Answer:

1) not so long (maybe an hour or two)

2) access to information through the internet will be most affected if my computer and mobile phone run out of battery power.

3) yes, one should prepare for power outage. This can be done by having a standby alternative source of power like the use of inverters that stores electrical energy in form of chemical energy, and small internal combustion engine powered electric generators.

4) solar panels can be used to draw power from incident sun rays, this power can be stored in an inverter for future use in case of a power outage.

5) energy from the sun is converted into direct current which is then supplied to an accumulator in the opposite direction to its flow of current. When the energy is needed, it can be used directly, or converted to an alternating current. This is achieved by connecting its terminal to the supply. Electric field is generated by flow of ions and electrons within the working chemical (e.g lithium).

Explanation:

8 0
2 years ago
Lighting a match changes to :
ale4655 [162]
A, Mechanical and A, Chemical. 
3 0
2 years ago
Read 2 more answers
You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius
Gennadij [26K]

Answer:

t = 0.0735 m

Explanation:

Angular acceleration of the flywheel is given as

\alpha = 3 rad/s^2

now after t = 8 s the speed of the flywheel is given as

\omega = \alpha t

\omega = 3 \times 8

\omega = 24 rad/s

now rotational kinetic energy of the wheel is given as

K = \frac{1}{2}I\omega^2

K = \frac{1}{2}(\frac{1}{2}mR^2)(24^2)

800 = \frac{1}{4}m(0.23)^2(24^2)

m = 105 kg

now we have

m = \rho (\pi R^2) t

105 = 8600(\pi \times 0.23^2) t

t = 0.0735 m

4 0
3 years ago
Can anyone help me? (physics)
Masja [62]

Answer:

The initial velocity of the golf is 15.7 m/s.

The direction of the golf is 57°.

Explanation:

The following data were obtained from the question:

Time of flight (T) = 2.7 secs

Range (R) = 23 m

Acceleration due to gravity (g) = 9.8 m/s²

Initial velocity (u) =.?

Direction (θ) =.?

T = 2U Sine θ /g

2.7 = 2 × U × Sine θ /9.8

Cross multiply

2.7 × 9.8 = 2 × U × Sine θ

26.46 = 2 × U × Sine θ

Divide both side by 2 × Sine θ

U = 26.46 /2 Sine θ

U = 13.23 / Sine θ ... (1)

R = U² Sine 2θ /g

23 = U² Sine 2θ / 9.8

U = 13.23 / Sine θ

23 = (13.23/ Sine θ)² Sine 2θ / 9.8

23 = (175.0329 / Sine² θ) × Sine 2θ / 9.8

23 = 17.8605/Sine² θ × Sine 2θ

Recall:

Sine 2θ = 2SineθCosθ

23 = 17.8605/ Sine² θ × 2SineθCosθ

23 = 17.8605/ Sine θ × 2Cosθ

23 = 35.721 Cos θ /Sine θ

Cross multiply

23 × Sine θ = 35.721 Cos θ

Divide both side by 23

Sine θ = 35.721 Cos θ /23

Sine θ = 1.5531 × Cos θ

Divide both side by Cos θ

Sine θ /Cos θ = 1.5531

Recall:

Sine θ /Cos θ = Tan θ

Sine θ /Cos θ = 1.5531

Tan θ = 1.5531

Take the inverse of Tan

θ = Tan¯¹ (1.5531)

θ = 57°

Therefore, the direction of the golf is 57°

Thus, the initial velocity can be obtained as follow:

U = 13.23 / Sine θ

θ = 57°

U = 13.23 / Sine 57

U = 13.23/0.8387

U = 15.7 m/s

Therefore, the initial velocity of the golf is 15.7 m/s

8 0
3 years ago
What are some of the downsides of using hydroelectric power?.
never [62]
Has an Environmental Impact. Perhaps the largest disadvantage of hydroelectric energy is the impact it can have on the environment.
It Displaces People.
It's Expensive.
There are Limited Reservoirs.
There are Droughts.
It's Not Always Safe
4 0
2 years ago
Other questions:
  • How many electrons will constitute 2A current in unit time
    13·1 answer
  • A bowler lifts his bowling ball a distance of 2 meters using 50 joules of energy. If, on Earth, a 1.0 kilograms mass weighs 9.8
    9·2 answers
  • A bottle of a certain type of salad dressing can be considered to be a mixture of olive oil and vinegar. The oil has a density o
    14·1 answer
  • Prior to the music CD, stereo systems had a phonographic turntable on which vinyl disk recordings were played. A particular phon
    15·1 answer
  • A box of mass 3 kg is lifted 1.5 m onto a shelf. Calculate the change in its gravitational potential energy. The gravitational f
    10·2 answers
  • Why are simple machines important?
    11·2 answers
  • How are volt and electron volt related?<br> How do they differ?
    10·1 answer
  • Hurry pls I need help
    8·1 answer
  • QUESTION If the angular acceleration were doubled for the same duration, by what factor would the angular displacement change
    9·1 answer
  • Three cars, car x, car y, and car z, begin accelerating from rest, at the same time. car x is more massive than car y, which is
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!