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
Fed [463]
4 years ago
14

Paintball guns were originally developed to mark trees for logging. A forester aims his gun directly at a knothole in a tree tha

t is 4.0 m above the gun. The base of the tree is 15 m away. The speed of the paintball as it leaves the gun is 50 m/s. How far below the knothole does the paintball strike the tree? Express your answer with the appropriate units.
Physics
1 answer:
emmasim [6.3K]4 years ago
8 0

Answer:

The distance between knothole and the paint ball is 0.483 m.

Explanation:

Given that,

Height = 4.0 m

Distance = 15 m

Speed = 50 m/s

The angle at which the forester aims his gun are,

\tan\theta=\dfrac{4}{15}

\tan\theta=0.266

\cos\theta=\dfrac{15}{\sqrt{15^2+4^2}}

\cos\theta=0.966

Using the equation of motion of the trajectory

The horizontal displacement of the paint ball is

x=(u\cos\theta)t

t=\dfrac{x}{u\cos\theta}

Using the equation of motion of the trajectory

The vertical displacement of the paint ball is

y=u\sin\theta(t)-\dfrac{1}{2}gt^2

y=u\sin\theta(\dfrac{x}{u\cos\theta})-\dfrac{1}{2}g(\dfrac{x}{u\cos\theta})^2

y=x\tan\theta-\dfrac{gx^3}{2u^2(\cos\theta)^2}

Put the value into the formula

y=(15\times0.266)-(\dfrac{9.8\times(15)^2}{2\times(50)^2\times(0.966)^2})

y=3.517\ m

We need to calculate the distance between knothole and the paint ball

d=h-y

d=4-3.517

d=0.483\ m

Hence, The distance between knothole and the paint ball is 0.483 m.

You might be interested in
Convection currents move tectonic plates in two locations as described below:
Verizon [17]
The answer to this is C.
5 0
4 years ago
Read 2 more answers
How can solar cookers reduce our carbon footprint
sertanlavr [38]

Answer: The energy you waste when cooking indoors is more than what's burned on your stovetop or in your oven. when you use a sun oven to bake, boil, or steam your food, the heat stays outdoors, saving energy costs while reducing your carbon footprint.

Explanation:

4 0
4 years ago
What are the equations for acceleration and net force????
Slav-nsk [51]

Rearrange the equation F = ma to solve for acceleration. You can change this formula around to solve for acceleration by dividing both sides by the mass, so: a = F/m. To find the acceleration, simply divide the force by the mass of the object being accelerated.


This equation is the sum of n forces acting on an object. The magnitude of the net force acting on an object is equal to the mass of the object multiplied by the acceleration of the object, as shown in this formula.  or F=ma which is force =mass*accleration

3 0
4 years ago
When you lift something up high you are giving the object potential energy?
allochka39001 [22]

Answer: yes,

Explanation: the higher lifted then the more potential energy consumed by the object

8 0
3 years ago
Explain how a refrigerator works to cool down warm objects that would otherwise be room temperature
expeople1 [14]

Answer: evaporation

Explanation:

Refrigerators work by causing the refrigerant circulating inside them to change from a liquid into a gas. This process, called evaporation, cools the surrounding area and produces the desired effect.

8 0
4 years ago
Other questions:
  • What is the charge of Scandium?
    5·2 answers
  • Did I label the image (a wave) correctly? If not, then please state my mistakes (and draw the correct way if possible).
    15·2 answers
  • Imagine a car moving at a speed of 10 m/s it starts speeding up at an acceleration of 2 m/s/s. What will the car's speed be afte
    12·1 answer
  • A country is experiencing economic problems. Many people are unemployed,
    14·1 answer
  • A block attached to a spring with unknown spring constant oscilates with a period of 4.2 s. Parts A to D are independent questio
    14·2 answers
  • A horizontal power line carries a current of 5960 A from south to north. Earth's magnetic field (77.6 µT) is directed toward the
    8·1 answer
  • When energy is transformed or changed from one form into another, some of the energy will be lost to the environment as?
    6·1 answer
  • Changing which factor would NOT have an influence on the kinetic energy of a moving van loaded with 100 kg bags mulch of with a
    8·2 answers
  • Electric current in electric bulb is 20 mA, what is the charge flowing through the filament in 4 sec
    15·1 answer
  • A typical laboratory centrifuge rotates at 4000 rpm. Testtubes have to be placed into a centrifuge very carefully because ofthe
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!