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]
3 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]3 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]3 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
Mike has a mass of 97 kg. He jumps out of a perfectly good airplane that is 2000 m above the ground. After he falls 1000 m, when
Ne4ueva [31]

Answer:

a)  fr = 224.3 N , b)   fr = 224.3 N , c)   v = 198.0  m/s

Explanation:

a) For this exercise let's start by calculating the acceleration in the fall

             v² = v₀² - 2 a (y-y₀)

When it jumps the initial vertical speed is zero

             a = -v² / 2 (y-y₀)

             a = -68 2/2 (1000-2000)

             a = 2,312 m / s²

Let's use the second net law to enter the average friction force

            fr = m a

            fr = 97 2,312

            fr = 224.3 N

b) let's look for acceleration

            v² = v₀² - 2 a y

            a = (v² –v₀²) / 2 (y-y₀)

            a = (4² - 68²) / 2 (0-1000)

            a = 2,304 m / s²

            fr = m a

            fr = 97 2,304

            fr = 223.5 N

c) the speed of the wallet is searched with kinematics

           v² = v₀² - 2 g (y-y₀)

           v = √ (0-2 9.8 (0-2000))

           v = 198.0  m/s

4 0
3 years ago
Write an expression for the magnitude of charge moved, Q, in terms of N and the fundamental charge e
NeTakaya

We have that for the Question "Write an expression for the <em>magnitude </em>of charge moved, Q, in terms of N and the fundamental charge e" it can be said its equation is

Q=\frac{E}{Nr^2}

       

From the question we are told

Write an expression for the <em>magnitude </em>of charge moved, Q, in terms of N and the fundamental charge e

<h3>An Expression for the <em>magnitude </em>of charge moved</h3>

Generally the equation for the  <em>magnitude </em>of charge moved, Q   is mathematically given as

Q=\frac{E}{Nr^2}

Therefore

An expression for the <em>magnitude </em>of charge moved, Q, in terms of N and the fundamental charge e" it can be

 Q=\frac{E}{Nr^2}

 

For more information on this visit

brainly.com/question/16517842

3 0
2 years ago
Toy car in a science experiment covers 1.6 meters in half a second. If a the car travels at a steady speed, how far will it go i
Tanzania [10]
The answer is D. 32 m.

The simple equation that connects speed (v), time (t), and distance (d) can be expressed as:
v= \frac{d}{t}         ⇒ d=v*t

It is given:
v =  \frac{1.6m}{0.5s} = \frac{1.6m*2}{0.5s*2}= \frac{3.2m}{1s}  = 3.2 m/s
t = 10 s
d = ?

So:
d= v*t=3.2m/s*10s = 32m
3 0
3 years ago
The number of confirmed exoplanets is (a) less than 10; (b) roughly 50; (c) more than 500; (d) more than 5000.
Bad White [126]

Answer:

(c) more than 500

Explanation:

Until 2019, more than 3000 planetary systems have been discovered that contain more than 4000 exoplanets, since some of these systems contain multiple planets. Most known extrasolar planets are gas giants equal to or more massive than the planet Jupiter, with orbits very close to its star.

8 0
3 years ago
How much money would be saved by turning off one 100.0-W lightbulb 3.0 h/day for 365 days if the
Pavlova-9 [17]

Answer:

the money that would be saved is $13.14.

Explanation:

Given;

power consumed by the light bulb, P = 100 W = 0.1 kW

time of running the bulb, t = 3 hours for 365 days = 1,095 hours

cost rate of power consumption, C = $0.12 per kWh

Energy consumed by the light bulb for the given days;

E = Pt

E = 0.1 kW  x 1,095 hr

E = 109.5 kWh

Cost of energy consumed = 109.5 kWh   x   $0.12 / kWh

                                            = $13.14

Therefore, the money that would be saved is $13.14.

3 0
2 years ago
Other questions:
  • What did scientists predict the big bang should have left?
    12·2 answers
  • A person watches an ambulance drive by them while emitting a steady sound from its siren. When the ambulance passes the person (
    12·1 answer
  • What occurs when the surface of a large body of water is heated by the sun and the water at the depths remains cool because of l
    10·2 answers
  • A deuteron (a nucleus that consists of one proton and one neutron) is accelerated through a 4.01 kV potential difference. How mu
    5·1 answer
  • In each of two coils the rate of change of the magnetic flux in a single loop is the same. The emf induced in coil 1, which has
    10·1 answer
  • You exert 20 newtons of force on the hammer to remove the nail. The hammer exerts 90
    15·1 answer
  • What is the pulling force of this train, if its engine provides 4200 kW power and 90 km/h speed?
    11·1 answer
  • A diffraction grating, ruled with 300 lines per mm, is illuminated with a white light source at normal incidence.
    13·1 answer
  • in fig. 15.12, two identical springs of spring constant 7580 n/m are attached to a block of mass 0.245 kg. what is the frequency
    10·1 answer
  • How does position depend on time on a free falling motion, for short distance, near the surface of the earth?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!