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
Neko [114]
4 years ago
10

A rifle fires a 2.90 x 10-2-kg pellet straight upward, because the pellet rests on a compressed spring that is released when the

trigger is pulled. The spring has a negligible mass and is compressed by 8.37 x 10-2 m from its unstrained length. The pellet rises to a maximum height of 7.23 m above its position on the compressed spring. Ignoring air resistance, determine the spring constant.
Physics
2 answers:
Juliette [100K]4 years ago
8 0

Answer: 587.14 N/m

Explanation:

E(f) = E(0) such that

0.5mv(f)² + 0.5Iw(f)² + mgh(f) + 0.5ky(f)² =

0.5mv(0) + 0.5Iw(0)² + mgh(0) + 0.5ky(0)²

since the pellets does not rotate, then the angular speeds are zero, so, w(f) and w(0) = 0

Since the pellet is at rest, and sits on the Spring, the translational speed, v(0) and v(f) are zero too.

Since the Spring is not strained when it reaches maximum height, y(f) = 0, so that

mgh(f) = mgh(0) + 0.5ky(0)²

[mgh(f) - mgh(0)] / y² = 0.5k

mg[h(f) - h(0)] / y² =0.5k

(2.9*10^-2 * 9.8 * 7.23) / (8.37*10^-2)² = 0.5k

2.055 / 7*10^-3 = 0.5k

0.5k = 293.571

k = 293.571/0.5

k = 587.14 N/m

iren2701 [21]4 years ago
7 0

Answer: 586.60N/m

Explanation:

In this scenario, the elastic potential energy of the spring is converted into potential energy.

0.5*K*x^2 = mgh

Thus K = 2mgh/x^2

=(2*2.90*10^-2*9.8*7.23)/(8.37*10^-2)^2

=586.599

Therefore K = 586.60N/m

You might be interested in
2.0 mol of monatomic gas A initially has 5000 J of thermal energy. It interacts with 3.0 mol of monatomic gas B, which initially
Naddika [18.5K]

Answer:

 E_particle = 1,129 10⁻²⁰ J / particle

  T= 817.5 K

Explanation:

Energy is a scalar quantity so it is additive, let's look for the total energy of each gas

Gas a

         E_a = 2 5000 = 10000 J

Gas b

         E_b = 3 8000 = 24000 J

When the total system energy is mixed it is

          E_total = E_a + E_b

          E_total = 10000 + 24000 = 34000

The total mass is

           M = m_a + m_b

           M = 2 +3 = 5

The average energy among the entire mass is

           E_averge = E_total / M

            E_averago = 34000/5

            E_average = 6800 J

One mole of matter has Avogadro's number of atoms 6,022 10²³ particles

Therefore, each particle has an energy of

                E_particle = E_averag / 6.022 10²³ = 6800 /6.022 10²³

                E_particle = 1,129 10⁻²⁰ J / particle

For  find the temperature let's use equation

               E = kT

               T = E / k

     

               T = 1,129 10⁻²⁰ / 1,381 10⁻²³

               T = 8.175 102 K

               T= 817.5 K

5 0
4 years ago
The distance of Saturn from the sun is:<br><br> &lt; 1 A.U.<br> &gt; 1 A.U.<br> = 1 A.U.
sertanlavr [38]

Answer:

1 astronomical unit is the average distance from the Earth to the Sun; approximately 150 million km. At its closest point, Saturn is 9 AU, and then at its most distant point, it's 10.1 AU. Saturn's average distance from the Sun is 9.6 AU. We have written many articles about Saturn for Universe Today.

Explanation:

6 0
3 years ago
Read 2 more answers
If a train travels at a speed of 40 km/h for 3 hours, how far will it travel
VikaD [51]
120 km/3 hours. 40/1=?/3 1x3=3 hours so 40x3=120 km
8 0
3 years ago
Read 2 more answers
M=20kg F=10N d=25m<br>Work done=?​
fomenos

w=f×d

w=10N×25m

w=250Nm

5 0
3 years ago
You apply a very small force, say 0.001 newtons, to a very large truck, with a mass of 2000 kilograms. What can you say for sure
Fofino [41]

Answer:

it will stay still. unless its in space.

Explanation:

5 0
3 years ago
Other questions:
  • It is known that a shark can travel at a speed of 15 m/s.how far can a shark go in 10 seconds?
    13·2 answers
  • What is the exact time of a full earth rotation?
    5·2 answers
  • How can you prevent static sparks while filling your boat's fuel tank?
    5·2 answers
  • Inertia is the property that every material object has that causes objects to resist changes in its state of motion
    6·2 answers
  • A playground is on the flat roof of a city school, 6.2m above the street below. The vertical wall of the building is h=7.30m hig
    10·1 answer
  • You hear 2 beats per second when two sound sources, both at rest, play simultaneously. The beats disappear if source 2 moves tow
    10·1 answer
  • An electron that has a velocity with x component 1.6 × 10^6 m/s and y component 2.6 × 10^6 m/s moves through a uniform magnetic
    15·1 answer
  • Sonia's grandfather was not able to see clearly after returning from his walk on a bright sunny day. He was about to hit a chair
    9·1 answer
  • An object slides along a curved track of negligible friction, as shown in the figure. The potential energy U of the object as a
    10·1 answer
  • TIMED! URGENT! REALLY APPRECIATE HELP!! TYSM!!!!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!