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
zzz [600]
3 years ago
5

A spring-loaded pellet gun is designed to fi re 3.00-g projectiles horizontally at a speed of 45.0 m/s. (a) If the spring is com

pressed to its maximum design difference of 8.00 cm, what spring constant is required?
Physics
1 answer:
taurus [48]3 years ago
3 0

Answer:

The spring constant required = 949.2 N/m

Explanation:

The energy stored in the spring is converted to kinetic energy of the projectiles fired.

Energy stored in spring's = kx²/2

Kinetic energy of bullets = mv²/2

k = spring constant = ?

x = maximum compression of the spring = 8 cm = 0.08 m

m = mass of projectiles fired = 3.0 g = 0.003 kg

v = velocity of projectiles fired = 45.0 m/s

kx² = mv²

k (0.08²) = 0.003 (45²) = 6.075

k = 949.2 N/m

The spring constant required = 949.2 N/m

You might be interested in
A mass weighing 11 lb stretches a spring 4in. The mass is pulled down an additional 3 in and is then set in motion with an initi
Shtirlitz [24]

Answer:

a) x(t) = 2.845\cdot \cos \left(1.732\cdot t -0.473\pi \right), b) T = 3.628\,s, A = 2.845\,ft, \phi = -0.473\pi

Explanation:

a) The system mass-spring is well described by the following equation of equilibrium:

\Sigma F = k\cdot x - m\cdot g = m\cdot a

After some handling in physical and mathematical definition, the following non-homogeneous second-order linear differential equation:

\frac{d^{2}x}{dt^{2}}+\frac{k}{m}\cdot x = g

The solution of this equation is:

x (t) = A\cdot \cos \left(\sqrt{\frac{k}{m} } \cdot t + \phi\right)

The velocity function is:

v(t) = \sqrt{\frac{k}{m} }\cdot A\cdot \sin \left(\sqrt{\frac{k}{m} }\cdot t +\phi  \right)

Initial conditions are:

x(0\,s) = 0.25\,ft, v(0\,s) = -5\,\frac{ft}{s}

Equations at t = 0\,s are:

0.25\,ft =  A\cdot \cos \phi\\-5\,\frac{ft}{s} =\sqrt{\frac{k}{m} }\cdot A\cdot \sin \phi

The spring constant is:

k = \frac{11\,lbf}{0.333\,ft}

k = 33\,\frac{lbf}{ft}

After some algebraic handling, amplitude and phase angle are found:

\phi = -0.473\pi

A = 2.845\,ft

The position can be described by this function:

x(t) = 2.845\cdot \cos \left(1.732\cdot t -0.473\pi \right)

b) The period of the motion is:

T = \frac{2\pi}{\sqrt{\frac{k}{m} } }

T = 3.628\,s

The amplitude is:

A = 2.845\,ft

The phase of the motion is:

\phi = -0.473\pi

8 0
4 years ago
List 3 things that magnetism and static electricity have in common
DiKsa [7]

Answer:

1. Static electricity has two charges magnetism has two poles.

2. Same charges and same poles repel and opposite charges and poles attract.

3. Static electricity is produced by charges(at rest) Magnetism is produced by charges(moving with uniform speed)

4 0
4 years ago
Kevin jump straight up in the air to a height of 1 m at the top of his jump he has the potential energy of 1000 J answer the fol
NeTakaya

Answer:

1000N,4.48m/s

Explanation:

Height(h) = 1m

P. E = 1000J

P. E = mass x acceleration due to gravity x height

Acceleration due to gravity = 10m/s

P. E = mgh

Where weight = mg

P. E = weight x height

Weight = P. E / height

Weight = 1000 / 1

Weight. 1000N

b) as he leaves the ground P. E = K. E

P. E = 1/2 mv2

P. E = 1000 , mass = weight / 10

                      Mass =1000/10 = 100kg

P. E = 1/2 mv2

1000 = 1/2 x 100 x v2

Multiply both sides by 2

1000 x 2 = 100 x v2

V2 = 2000/ 100

V2 =20

Square root both sides

V = square root of 20

V = 4.48m/s

I hope this was helpful, Please mark as brainliest

4 0
3 years ago
Why are peer reviews important
Gre4nikov [31]

Answer: So they can find your mistakes that you made you skipped over

Explanation:

7 0
4 years ago
Read 2 more answers
Can you please help me?
Oliga [24]

Answer:

2nd one

Explanation:

highest frequency shortest wavelength

4 0
3 years ago
Read 2 more answers
Other questions:
  • A boat moves with a speed of +2.5 m/s in a direction 25° north of east. If the mass of the boat is 15,000 kg, what is the moment
    12·1 answer
  • What is fundamental and derived unit? what's the difference between them ?
    7·2 answers
  • PLEASE ANSWER!!!!!
    13·1 answer
  • Which of the following describes a condition in which an individual would not hear an echo?
    12·2 answers
  • Rays traveling parallel to the principle axis of a concave mirror will reflect out through the mirrors focus?
    14·2 answers
  • A metal box, attached to a small parachute, is dropped from a helicopter. explain in terms of the forces acting; why:
    12·2 answers
  • The Pentium 4 Prescott processor, released in 2004, had a clock rate of 3.6 GHz and voltage of 1.25 V. Assume that, on average,
    14·1 answer
  • Assume that at some point just outside the surface of the conductor, the electric field has magnitude E and is directed toward t
    6·1 answer
  • The first step in turning a rock into a sediment is ________. Select one:
    14·1 answer
  • Can you solve this question?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!