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
pishuonlain [190]
3 years ago
14

A spring-loaded toy dart gun is shot to a height h. The same dart is shot straight up a second time from the same gun, but this

time the spring is compressed twice as far before firing. How far up does the dart go this time, neglecting friction and assuming an ideal spring
Physics
2 answers:
yarga [219]3 years ago
8 0

Answer:

The height reached by the dart in the second shot is (4 H).

Explanation:

It is given that, a spring-loaded toy dart gun is shot to a height h. In this case, all the potential energy stored in the spring is converted to potential gravitational energy at the maximum height.

\dfrac{1}{2}kx^2=mgH........(1)

At the second shot, the spring is compressed twice as far before firing. x' = 2x

\dfrac{1}{2}kx'^2=mgh

\dfrac{1}{2}k(2x)^2=mgh.........(2)

h is the height reached by the dart in the second shot.

Dividing equation (1) and (2) as:

4=\dfrac{h}{H}

h = 4H

So, the height reached by the dart in the second shot is (4 H). Hence, this is the required solution.

vagabundo [1.1K]3 years ago
8 0

Answer:

Explanation:

Let the spring constant is K and the mass of the shot is m.

Case 1: when the compression in the spring is d.

Use the energy conservation

Elastic Potential energy of the spring = gravitational potential energy of the shot

1/2 K x d² = mgh   .... (1)

Case 2: Let the shot rises upto height h'.

1/2 K x (2d)² = mgh' .... (2)

Divide equation (2) by equation (1)

h' / h = 4

h' = 4h

Thus, the shot rises by the four times the initial height.

You might be interested in
A car cruises at a constant rate of 50 miles per hour. How much time will it take to go 600 miles?
Len [333]
Speed is constant. 50 miles = 1 hour. 600/50 = 12. 1hr(12) = 12 hours.
7 0
2 years ago
A small car has a head-on collision with a large truck. Which of the following statements concerning the magnitude of the averag
andrey2020 [161]

Answer:

The small car and the truck experience the same average force.

Explanation:

Here we need to remember two of Newton's laws.

The second one says that:

F = m*a

force equals mass times acceleration.

And the third one says that;

"If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A"

From the third law, if the car experiences a force F due to the impact with the truck, then the truck experiences the same force F due to the impact.

But this seems odd, because we would expect to see the car being more affected by the impact, right?

Well, this is explained by the second law.

Suppose that the mass of the car is m, and the mass of the truck is M.

such that M > m

Then for the small car we have:

F = m*a

And for the truck:

F = M*a'

Because the force is the same for both of them, we can write:

m*a = M*a'

a = (M/m)*a'

because M > m, then M/m > 1.

This means that the acceleration that the car experiences is larger than the acceleration for the truck, and this is why we would see that the car seems more affected by the impact, regardless of the fact that both vehicles experience the same force in the impact.

6 0
2 years ago
It is estimated that uranium is relatively common in the earth's crust, occurring in amounts of 4 g / metric ton. A metric ton i
timama [110]

Answer:

The mass of Uranium present in a 1.2mg sample is 4.8 \cdot 10^{-6}\,mg

Explanation:

The ration between Uranium mass and total sample mass is: \frac{4g}{1000kg} =\frac{4g}{1000000g}=\frac{1}{250000}

For a sample of mass 1.2 mg, the amount of uranium is:

1.2\, mg \cdot \frac{1}{250000}=4.8 \cdot 10^{-6}\,mg

7 0
3 years ago
Help with this question plz and show how you got it :) tysm!
spayn [35]
The hardest part of the job is to find the right formula to use, and write it down. You've already done that ! The rest is just turning the crank until an answer falls out.

You wrote. E = m g h.
Beautiful.
Now divide each side by (g h), and you'll have the formula for mass:

m = E / (g h).

You know all the numbers on the right side. Just pluggum in, do the arithmetic, and you'll have the mass.
5 0
2 years ago
Calculate the elastic potential energy stored in a spring if it has a force constant of 150 N/m. the spring is extended to a len
Alenkinab [10]

Answer:

6.75J

Explanation:

U=1/2KΔx²

U=0.5* 150*0.30^2

4 0
2 years ago
Other questions:
  • Find the interest. A 105-day note for $14,200 at 8.5% interest.
    13·1 answer
  • Why is it necessary to be able to replicate the results of a scientific experiment
    12·1 answer
  • If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the
    12·1 answer
  • Describe how wavelength, frequency, and energy are related.
    8·1 answer
  • Has an Atomic number of 1.
    5·1 answer
  • Of the following properties of a wave, which of the following is independent of the others? amplitude speed wavelength frequency
    14·2 answers
  • If you enjoyed teaching small or large classes and being active every day which career would be a good fit for you
    5·1 answer
  • What is the mystery Greene discussion and why does he say it is something we should all care about ​
    13·1 answer
  • Please help!!!!!!!!!!!!!!!!
    7·1 answer
  • A 2.72 A current flows through a wire for
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!