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
KengaRu [80]
4 years ago
10

A dart is inserted into a spring-loaded dart gun by pushing the spring in by a distance x. For the next loading, the spring is c

ompressed a distance 2x. How much faster does the second dart leave the gun compared to the first? The book gives an answer of "two times as much" but I not totally clear on what equation this is coming from. Is it the equation: W(ext) = 1/2mvf^2 - 1/2mvi^2 where the initiial velocity would be 0?
Physics
1 answer:
bezimeni [28]4 years ago
7 0

Answer:

The second dart leaves the gun two times as faster than the first one.

Explanation:

Assuming no energy loss during the spring-dart energy transfer, we have by the conservation of energy principle

U_s = K_d \\ \frac{1}{2} kx^2 = \frac{1}{2}mv^2 \\ v = \sqrt{\frac{k}{m}x^2}.

Given an arbitrary x and its double, 2x, launch velocities are

v_1 = \sqrt{\frac{k}{m}x^2} \text{ and} \\ v_2 = \sqrt{\frac{k}{m}\left(2x\right)^2} = \sqrt{\frac{k}{m}4x^2} = 2\sqrt{\frac{k}{m}x^2} = \mathbf{2v_1}.

You might be interested in
1. Why do certain elements have isotopes?
Marizza181 [45]

1. because they have the same numbers of protons and electrons.

2. by the number of its protons and neutrons

3. yes, because the isotopes of an element also have the same number of electrons.

7 0
3 years ago
Temperature is perhaps the most important factor in the distribution of organisms because
Maurinko [17]

Answer:

True

Explanations

Temperature is the degree of coldness or hotness of a body, usually organism rarely adapt to extreme temperature value of below 0°C or above 43°C,organisms usually respond to cold weather by hibernation or estivation for hot weather also extreme temperature causes migration of birds if they can't survive such place like the artic tern that travel thousands of miles,

3 0
3 years ago
Which statement describes Redi’s experiment, which helped disprove spontaneous generation?
Kay [80]

Answer:

He examined covered and uncovered meat to determine that maggots came from eggs.

In other other words A

5 0
3 years ago
Read 2 more answers
As Clinton walks he pushes his shoe against the track.
Valentin [98]

Answer:A:The track pushes back on Clinton's shoe with the same force.

Explanation:According to Newton's third law of motion, for every action force there is an equal and opposite reaction force. In this case, the action force is Clinton's shoe pushing on the track. As this happens, there is an equal and opposite reaction force in which the track pushes back on Clinton's shoe with the same force.

4 0
3 years ago
You plug a string of 100 lights in series into a 120 V power outlet, and each light has a resistance of 3.00 _. If each light ha
UNO [17]
V = IR

By completing the equation, i found that the total power equation is : 4.8, 
Which means that it's not exceed the power rating.

So i believe the answer would be :  The string will remain lit

hope this helps
6 0
4 years ago
Other questions:
  • Which term is defined as long chains of carbon molecules?
    15·2 answers
  • Subduction occurs as a result of:__________
    7·1 answer
  • Sound is heard louder in newly furnished room ,why?​
    7·2 answers
  • In an RC-circuit, a resistance of R=1.0 "Giga Ohms" is connected to an air-filled circular-parallel-plate capacitor of diameter
    15·1 answer
  • When metals and nonmetals combined, first there is a complete transfer of charge to form cations and anions to complete their va
    12·1 answer
  • A bowling ball collides with a tennis ball. Which object has the larger impact force on the other considering that they have the
    10·1 answer
  • How quickly would the 50kg box accelerate if the person applied a 570N force?
    8·1 answer
  • How much force is required to keep 780 n box moving at constant velocity across the floor of the friction force between the box
    10·1 answer
  • When do (object distance) is very large, what does the thin lens equation predict for the value of 1/f?
    11·1 answer
  • What force is represented by the vector​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!