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
Novosadov [1.4K]
3 years ago
8

A toy gun uses a spring to project a 6.4 g soft rubber sphere horizontally. The spring constant is 9.0 N/m, the barrel of the gu

n is 12.4 cm long, and a constant frictional force of 0.028 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 5.0 cm for this launch? (Assume the projectile is in contact with the barrel for the full 12.4 cm.)
Physics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

1.584 m/s.

Explanation:

Using,

Ek= Ws-Wf...................... Equation 1

Where Wf = work done against friction, Ek = kinetic energy of the rubber, Ws = work done by the spring.

1/2mv² = 1/2ke²-F'd................ Equation 2

Where m = mass of the rubber, v = velocity of the rubber, k = force constant of the spring, e = compression, F' = force of friction, d = distance/ length of contact.

make v the subject of the equation

v = √[2(1/2ke²-F'd)/m].................... Equation 3

Given: k = 9 N/m. e = 5 cm = 0.05 m, F' = 0.028 N, d = 12.4 cm = 0.124 m, m = 6.4 g = 0.0064 kg

Substitute into equation 3

v = √[2(1/2×9×0.05²-0.026×0.124)/0.0064]

v = √(2[0.01125-0.003224]/0.0064)

v = √2.508125

v = 1.584 m/s.

You might be interested in
A large fraction of the ultraviolet (UV) radiation coming from the sun is absorbed by the atmosphere. The main UV absorber in ou
elena55 [62]

Answer:

3.2\times 10^{-7}\ m or 0.32 μm.

Explanation:

Given:

The radiations are UV radiation.

The frequency of the radiations absorbed (f) = 9.38\times 10^{14}\ Hz

The wavelength of the radiations absorbed (λ) = ?

We know that, the speed of ultraviolet radiations is same as speed of light.

So, speed of UV radiation (v) = 3\times 10^8\ m/s

Now, we also know that, the speed of the electromagnetic radiation is related to its frequency and wavelength and is given as:

v=f\lambda

Now, expressing the above equation in terms of wavelength 'λ', we have:

\lambda=\frac{v}{f}

Now, plug in the given values and solve for 'λ'. This gives,

\lambda=\frac{3\times 10^8\ m/s}{9.38\times 10^{14}\ Hz}\\\\\lambda=3.2\times 10^{-7}\ m\\\\\lambda=3.2\times 10^{-7}\times 10^{6}\ \mu m\ [1\ m=10^6\ \mu m]\\\\\lambda=3.2\times 10^{-1}=0.32\ \mu m

Therefore, the wavelength of the radiations absorbed by the ozone is nearly 3.2\times 10^{-7}\ m or 0.32 μm.

7 0
3 years ago
Kepler's 3rd law: harmonic law
Amanda [17]
<span>orbital velocities to their mean distances from the Sun.</span>
7 0
2 years ago
On Earth, a brick has a mass of 10 kg and a weight of 5 lbs. What predictions could we make about the mass and weight of the bri
belka [17]

Answer:

Mass remains constant but weight reduces

Explanation:

Mass is the amount of matter in an object so whether on moon or any other planet, it does not change despite the changes in acceleration.

Weight is a product of mass and acceleration due to gravity, expressed as W=mg where m is the mass, W is weight and g is acceleration. From the above formula, it is evident that when you decrease g, then W also decreases while m is constant. Similarly, when m is constant and g is increased then W also increases.

Therefore, for this case, since g decreases, the weight decreases but mass remains constant.

8 0
2 years ago
A ball rolls from 10 m to -25 m in 2.5 seconds. What was<br> its average velocity?<br> (Units = m/s)
marissa [1.9K]

Answer:

v = -14 m/s

Explanation:

Given that,

Initial location of the ball, X₁ = 10 m

Final position of the ball,  X₂ = -25 m

Time taken to travel is, t = 2.5 s

The average velocity of the ball is given by the formula,

                       V = X₂ - X₁ / t     m/s

Substituting the values in the above equation,

                       V = -25 - 10 / 2.5

                          = -14 m/s

The negative sign in the velocity indicates that ball rolls in the opposite direction.

Hence, the average velocity of the ball is  v = -14 m/s

8 0
3 years ago
How does a boulder change
Minchanka [31]

a boulder can change due to erosion and weathering. it can change shape and sometimes color, possibly.

3 0
3 years ago
Other questions:
  • Physics help please. Topic is free fall.
    5·1 answer
  • The cycles of matter in Earth’s systems are driven by movement of
    8·2 answers
  • hich of the following needs is an addition to Maslow's original hierarchy and only appears in the eight-stage revised model
    12·1 answer
  • A a healthy diet and exercise have an impact on the overall health of
    12·1 answer
  • Does a break in one branch affect another branch in a parallel circuit
    12·1 answer
  • Which of the following is the best definition of the term pseudopsychology?
    8·1 answer
  • Waves can travel but the medium does not "travel" with it, even though they may move up and down.
    13·2 answers
  • A dish is given to you, which contains a blackish-yellow powder. When you move a magnet over it, you are amazed to see black par
    13·1 answer
  • Why is the efficiency of a machine always less than 100%?
    10·1 answer
  • An object moving with a speed of 5m/s comes to rest in 10s after the brakes are applied . What is the initial velocity​?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!