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
kozerog [31]
3 years ago
8

B. Projectile on cliff (range)

Physics
1 answer:
dimulka [17.4K]3 years ago
5 0

Answer:

x = 41.28 m

Explanation:

This is a projectile launching exercise, let's find the time it takes to get to the base of the cliff.

Let's start by using trigonometry to find the initial velocity

         cos 25 = v₀ₓ / v₀

         sin 25 = Iv_{oy} / v₀

         v₀ₓ = v₀ cos 25

         v_{oy} = v₀ sin 25

         v₀ₓ = 22 cos 25 = 19.94 m / s

         v_{oy} = 22 sin 25 = 0.0192 m / s

let's use movement on the vertical axis

         y = y₀ + v_{oy} t - ½ g t²

     

when reaching the base of the cliff y = 0 and the initial height is y₀ = 21 m

         0 = 21 + 0.0192 t - ½ 9.81 t²

         4.905 t² - 0.0192 t - 21 = 0

         t² - 0.003914 t - 4.2813 =0

we solve the quadratic equation

        t = \frac{ 0.003914\  \pm \sqrt{0.003914^2 + 4 \ 4.2813 }   }{2}

        t = \frac{0.003914 \ \pm 4.13828}{2}

        t₁ = 2.07 s

        t₂ = -2.067 s

since time must be a positive scalar quantity, the correct result is

        t = 2.07 s

now we can look up the distance traveled

         x = v₀ₓ t

         x = 19.94  2.07

         x = 41.28 m

You might be interested in
A horse pulls a cart along a flat road. Consider the following four forces that arise in this situation. (1) the force of the ho
Paraphin [41]

Answer:

(1) - (2)

and

(3) - (4)

Explanation:

Hi!

The Newton's third law states that for every action there's and equal and opposite reaction.

Lets us consider the first force:

<em>(1) the force of the horse pulling on the cart</em>

Therefore, its counterpart, will be a force of the cart pulling on the horse, which is actually:

<em> (2) the force of the cart pulling on the horse</em>

<em />

Analogously, the third force:

<em>(3) the force of the horse pushing on the road</em>

and the fourth force:

<em>(4) the force of the road pushing on the horse </em>

<em />

From a action reaction pair, since the former force acts on the road by the horse, and the latter on the horse by the road

8 0
3 years ago
A hole is drilled in a metal plate. When the metal is raised to a higher temperature, what happens to the diameter of the hole?
zysi [14]

Answer:

The diameter of the hole increases

Explanation:

Metals expand and contract with temperature. Whenever metal is heated, it usually expands in relation to its thermal expansivity. This expansion leads to a slight increase in surface area.

Once the surface area of the metal changes, this means that the dimensions of the whole metal surface changed. As a result, the diameter of the hole drilled in the metal plate will change also. In our case, the diameter of the hole will increase.

4 0
3 years ago
Como estan formados los musculos?
VikaD [51]

Answer:

Explanation: El músculo esquelético está formado por fibras musculares, rodeadas de una capa de tejido conjuntivo, denominada endomisio. Las fibras se reúnen en fascículos primarios, que también están rodeados por otra capa de tejido conjuntivo, esta vez, más grueso, denominada perimisio.

3 0
3 years ago
Read 2 more answers
Technician A says when diagnosing an overheating hydraulic system, be sure that the oil cooler is not plugged and the cooler’s f
mel-nik [20]

Answer:

Tech B is correct and Tech A is incorrect.

Explanation:

Here Tech A is wrong because when diagnosing an overheating hydraulic system, it is not necessary to un plugg the oil cooler rather it should be plugged to for proper diagnosis.

Technician B says running the hydraulic system at a lower operating temperature will reduce the possibly of oil oxidation is correct statement because at temperature oil's physical as well as chemical property tend to change.

Hence, Tech B is correct and Tech A is incorrect.

8 0
3 years ago
What happens to matter during chemical changes?
Harrizon [31]
The object that goes through chemical change, changes completely to where you can not change it back to its original form. Physical change you can undo
7 0
2 years ago
Other questions:
  • An electric motor has a rating of 4.0 x 10^2 watts. How much time will it take for this motor to lift a 50.-kilogram mass a vert
    7·1 answer
  • A quantum of electromagnetic radiation has an energy of 2.0 kev. what is its frequency? planck's constant is 6.63 × 10−34 j · s.
    12·1 answer
  • A concave lens always creats an image that is smaller and upright
    10·1 answer
  • If Luke pushes his sister in a wagon down the driveway that is 14 meters long and it takes 22 Newton’s of force how much work di
    9·1 answer
  • Why does cold water have less thermal energy than hot water?
    9·1 answer
  • 2. Why is an experiment called a controlled study?
    5·2 answers
  • A solid conducting sphere has net positive charge and radius r = 0.800 m . At a point 1.20 m from the center of the sphere, the
    11·1 answer
  • When an object oscillating in simple harmonic motion is at its maximum displacement from the equilibrium position, which of the
    15·1 answer
  • Assume that the diagram above shows infrared radiation. How would a diagram showing X-rays be different???????​
    5·1 answer
  • A boy is pulling his two sisters on a sled.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!