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
joja [24]
3 years ago
9

A 50 g dart rests up against a spring that has been compressed 0.04 meters. It has a spring constant of 1560 N/m.What is the max

imum velocity of the dart after the spring has transferred all its energy to it.
Physics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

The maximum velocity of the dart after the spring has transferred all its energy to it is 7.06 m/s.  

Explanation:

Given that,

Mass of the dart, m = 50 g = 0.05 kg

Compression in the spring, x = 0.04 m

Spring constant, k = 1560 N/m

We need to find the maximum velocity of the dart after the spring has transferred all its energy to it. The kinetic energy is converted to elastic potential energy as :

\dfrac{1}{2}mv^2=\dfrac{1}{2}kx^2

v=\sqrt{\dfrac{kx^2}{m}} \\\\v=\sqrt{\dfrac{1560\times (0.04)^2}{0.05}} \\\\v=7.06\ m/s

So, the maximum velocity of the dart after the spring has transferred all its energy to it is 7.06 m/s.

You might be interested in
Ciara is swinging a 0.015 kg ball tied to a string around her head in a flat, horizontal circle. The radius of the circle is 0.7
Sophie [7]

Answer:

B) 1.2 N, toward the center of the circle

Explanation:

The circumference of the circle is:

C = 2πr

C = 2π (0.70 m)

C = 4.40 m

So the velocity of the ball is:

v = C/t

v = 4.40 m / 0.60 s

v = 7.33 m/s

Sum of the forces in the radial direction:

∑F = ma

T = m v² / r

T = (0.015 kg) (7.33 m/s)² / (0.70 m)

T = 1.2 N

The tension force is 1.2 N towards the center of the circle.

4 0
3 years ago
Read 2 more answers
Energy that vibrates electrons causing electricity
tresset_1 [31]
Answer: Electromagnetic waves are generated by moving electrons. An electron generates an electric field which we can visualize as lines radiating from the electron Figure 10a. If the electron moves, say it vibrates back and forth, then this motion will be transferred to the field lines and they will become wavy Figure 10b.
4 0
3 years ago
A ball is bouncing to a height that is 1/3 of the previous height after every bounce. What kind of sequence is this? How could y
tamaranim1 [39]

Answer and Explanation:

The ball is bouncing to a height of 1/3 of its previous height this is a type of geometric sequence the total distance can be found by the sum of geometric sequence

For example let the initial height is 243 fit

After one bounce it will reach  243/3 =81 feet

After second bounce 81/3=27 feet

After third bounce 27/3 =9 feet

After fourth bounce 9/3 =3 feet

So a sequence is formed that is 243,81,27,9,3..........

Here r=\frac{3}{9}=\frac{1}{3}

Sum of infinite GP = \frac{a}{1-r}

From this formula we can find the total distance traveled by the ball

3 0
3 years ago
An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) whi
Veronika [31]

Answer:

s=5.79\ km

\theta=47^{\circ} east of south

Explanation:

Given:

  • distance of the person form the initial position, d'=8.4\ km
  • direction of the person from the initial position, 47^{\circ} north of east
  • distance supposed to travel form the initial position, d=5.3\ km
  • direction supposed to travel from the initial position, due North

<u>Now refer the schematic for visualization of situation:</u>

y=d'.\sin47^{\circ}-d

y=8.4\times \sin47-5.3 ...............(1)

x=d'.\cos47^{\circ}

x=8.4\times \cos47^{\circ} .................(2)

<u>Now the direction of the desired position with respect to south:</u>

\tan\theta=\frac{y}{x}

\tan\theta=\frac{8.4\times \sin47}{8.4\times \cos47}

\theta=47^{\circ} east of south

<u>Now the distance from the current position to the desired position:</u>

s=\sqrt{x^2+y^2}

s=\sqrt{(8.4\times \cos47)^2+(8.4\times \sin47-5.3)^2}

s=5.79\ km

4 0
3 years ago
What sphere on earth includes mountains
Lostsunrise [7]
I believe it is lithosphere
3 0
3 years ago
Other questions:
  • The correctly balanced equation for H2O2 → H2O + O2 is
    10·1 answer
  • A balloon holds 5.00 mol of a mono-atomic gas at a temperature of 5.00oC and at a pressure of 1.20 atm. The gas isothermally abs
    10·1 answer
  • if the same amount of work needed to keep a 100W light bulb lit for one hour could be used to lift a 2000 kg SUV, what height co
    9·1 answer
  • A car moving at constant speed in a straight line with the engine providing a driving force equal to the resistive force F.
    11·2 answers
  • Two massive, positively charged particles are initially held a fixed distance apart. When they are moved farther apart, the magn
    7·1 answer
  • What is the momentum of a 0.1-kg mass moving with a speed of 5 m/s?
    12·1 answer
  • A car travelled a distance of 200 m with initial velocity of 216 km/hr. Calculate the acceleration
    7·1 answer
  • Which processes transfer energy from the core to the photosphere?
    5·2 answers
  • Fun Fact:
    13·1 answer
  • A student walks 4 blocks east, 7 blocks west, 1 block east and then 2 blocks west in an hour what is their velocity
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!