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
Darya [45]
3 years ago
11

When a 4.25 kg object is placed on top of a vertical spring, the spring compresses a distance of 2.62 cm. what is the force cons

tant of the spring?
Physics
1 answer:
ANTONII [103]3 years ago
6 0
The force applied to the spring is the weight of the object that compresses it, so it is equal to:
W=mg=(4.25 kg)(9.81 m/s^2)=41.7 N

Because of this force, the spring compresses by x=2.62 cm=0.0262 m. Using Hook's law,
F=kx,
since we know the intensity of the force (the weight W) and the compression of the spring, x, we can find k, the spring constant:
k= \frac{F}{x}= \frac{W}{x}= \frac{41.7 N}{0.0262 m}   =1591.6 N/m
You might be interested in
Where would a car traveling on a roller coaster have the most kinetic energy ? and why?
goldenfox [79]

Answer:

As the car travels up the coaster it is gaining potential energy.

Explanation:

Because It has the greatest in amount of potential energy at the top of the coaster. when the car travels down the roller coaster it obtains speed and kinetic energy.

4 0
3 years ago
Read 2 more answers
A 0.0250-kg bullet is accelerated from rest to a speed of 550 m/s in a 3.00-kg rifle. The pain of the rifle’s kick is much worse
kondaur [170]

Answer:

a) 4.583 m/s

b) 31.505 J

c) 0.491 m/s

d) 3.375 J

e)

   p_player = (110 kg)(8 m/s) = 880 kg m/s

   p_ball = (0.41 kg)(25 m/s) = 10.25 kg m/s

Explanation:

HI!

a)

We can calculate the recoil velocity by conservation of momentum, remember that p=mv.

The momentum of the bullet is:

p_b = (0.0250 kg)*(550 m/s )

The momentum of the rifle is:

p_r = (3 kg) * v

Since the total initial momentum is zero:

p_b = p_r

That is:

v = (550 m/s ) (0.0250 kg/ 3 kg ) = 4.583 m/s

b)

The kinetic energy gained by the rifle is:

K = (1/2) m v^2 = (1/2) *(3 kg) *(4.583 m/s)^2 = 31.505 J

c)

We use the same formula as in a), but with m=28kg instead of 3 kg

v = (550 m/s ) (0.0250 kg/ 28 kg ) = 0.491 m/s

d)

Again, the same formula as b, but with m=28 and v=0.491 m/s

K = 3.375 J

e)

p_player = (110 kg)(8 m/s) = 880 kg m/s

p_ball = (0.41 kg)(25 m/s) = 10.25 kg m/s

I believe that the kinetic energy is more related to the problem than the momentum. The relation between these two quantities is:

K = p^2/(2m)

usiing this relation, we get:

K_player = 3520 J

K_ball =  128.125 J

Therefore the kinetic energy of the player is around 27 time larger than the kinetic energy of the ball, that being said, the pain of being tackled by that player is around 27 times greater that being hit by the ball!

4 0
3 years ago
1. Determine the image distance in each of the following.
miskamm [114]

It is given that for the convex lens,

Case 1.

u=−40cm

f=+15cm

Using lens formula

v

1

−

u

1

=

f

1

v

1

−

40

1

=

15

1

v

1

=

15

1

−

40

1

v=+24.3cm

The image in formed in this case at a distance of 24.3cm in left of lens.

Case 2.

A point source is placed in between the lens and the mirror at a distance of 40 cm from the lens i.e. the source is placed at the focus of mirror, then the rays after reflection becomes parallel for the lens such that

u=∞

f=15cm

Now, using mirror’s formula

v

1

+

u

1

=

f

1

v

1

+

∞

1

=

15

1

v=+15cm

The image is formed at a distance of 15cm in left of mirror

6 0
3 years ago
A boat is traveling at 80 km/hr. How many hours will it take for the boat to cover a distance of 115 km?
miskamm [114]

Answer:

Explanation:

Givens

d = 115 km

r = 80 km/hr

t = ?

Equation

d = r*T

Solution

115 = 80 * t    Divide by 80

115/80 = t

t = 1.4375 hours.

3 0
3 years ago
how can there be so many different substances in the world if there are only a few elements that are common? 
LuckyWell [14K]
-- If there are only  <em>10</em>  elements in the universe that can make compound molecules, and a compound molecule can be formed by combining  1,  2,  3, or  4  different elements, then that's already the possibility of  at least 400 different molecules.

-- There are many more than  10  elements that can combine to form compound molecules.

-- Every single "<em>organic</em>" molecule, of which there are thousands, is the combination of <em>carbon</em> with other elements.

-- Most all of the substances that can be distilled out of oil, including the paraffin waxes, the alcohols, gasoline, kerosene, butane, propane, octane, and natural gas, are made of just carbon, hydrogen, and oxygen, only with different numbers of each one. 

-- Plastics, drugs, rubber, and DNA are examples of molecules that are made of <em>hundreds</em> of atoms.
3 0
3 years ago
Other questions:
  • One alternative to burning non-renewable fuels, which harm the environment, could be to burn (2 points) biomass. coal. natural g
    5·2 answers
  • Two vectors, in three dimensions, are given in Cartesian coordinates as :
    8·1 answer
  • What does telescope mean?
    5·1 answer
  • Examples of black body radiators? Please
    13·1 answer
  • Liquid sodium can be used as a heat transfer fluid in some nuclear reactors due to its high thermal conductivity and low neutron
    6·1 answer
  • Two parallel plates have equal and opposite charges. When the space between the plates is evacuated, the electric field is E= 3.
    5·1 answer
  • Which of the following scenerios fits all of the criteria for the two-source interference equations to be valid?
    5·1 answer
  • Why does the cord of an electric heater not glow while the heating element does​
    7·1 answer
  • A projectile launcher has a mass of 3 kg. It fires a projectile of mass 0.08 kg horizontally at a speed of 300 m/s. a. What is t
    9·1 answer
  • The valency of oxygen is 2​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!