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
meriva
3 years ago
15

In a physics lab experiment, a compressed spring launches a 24 g metal ball at a 35o angle above the horizontal. Compressing the

spring 17cm causes the ball to hit the floor 2.0 m below the point at which it leaves the spring after traveling 5.3 m horizontally. What is the spring constant
Physics
1 answer:
Levart [38]3 years ago
4 0

Answer:

k = 45.95 N/m

Explanation:

First, we will find the launch speed of the ball by using the formula for the horizontal range of the projectile.

R = \frac{v_{o}^{2}\ Sin\ 2\theta}{g} \\\\v_{o}^{2} = \frac{Rg}{Sin\ 2\theta}\\

where,

Vo = Launch Speed = ?

R = Horizontal Range = 5.3 m

θ = Launch Angle = 35°

Therefore,

v_{o}^{2} = \frac{(5.3\ m)(9.81\ m/s^{2})}{Sin\ 2(35^{o})}\\

v₀² = 55.33 m²/s²

Now, we know that the kinetic energy gain of ball is equal to the potential energy stored by spring:

Kinetic\ Energy\ Gained\ By\ Ball = Elastic\ Potential\ Energy\ Stored\ in \ Spring\\\frac{1}{2}mv_{o}^{2} = \frac{1}{2}kx^{2}\\\\k = \frac{mv_{o}^{2}}{x^2} \\

where,

k = spring constant = ?

x = compression = 17 cm = 0.17 m

m = mass of ball = 24 g = 0.024 kg

Therefore,

k = \frac{(0.024\ kg)(55.33\ m^2/s^2)}{(0.17\ m)^2} \\

<u>k = 45.95 N/m</u>

You might be interested in
A 2.00-kilogram object weighs 19.6 newtons on earth. if the acceleration due to gravity on mars is 3.71 meters per second2, what
Harrizon [31]
Recall that mass is the amount of matter present in a body. That means it's a property that is consistent regardless of the body's current location, gravity's pull on the body, etc. 

Let's not confuse mass with weight (which is a force computed as Weight = mass x acceleration). Mass will remain constant and that means that whether the object is on Earth or on Mars, its mass remains the same.  Thus, the object will still have 2.00 kg as mass on Mars. 

Answers: 2.00 kilograms
4 0
3 years ago
What is the main power and purpose of the legislative branch?<br> i always need help with physics
irina1246 [14]

Answer:

House and Senate.

Explanation:

declares war, regulates interstate and foreign commerce and controls taxing and spending policies.

4 0
3 years ago
A solid cube of side 5cm has a mass of 250g. What is its density in kgm ??​
Mariulka [41]

Answer:

5kgm

Explanation:

convert cm to m and g to kg

250/1000=0.25kg

5/1000=0.05m

then find the density

density=mass/volume

=0.25kg/0.05m

=5kgm

7 0
2 years ago
The loudness l of a sound, measured in decibels, is given by l=10log10r, where r is the sound's relative intensity. suppose one
marishachu [46]

Answer

given,                              

I is the loudness of sound

I = 10 Log₁₀ r                  

r is relative intensity                    

at when relative intensity is 10⁶        

I = 60 dB                                                  

how much louder when 100 people would be talking together

I = 10 Log₁₀ r                

I = 10 Log₁₀ (10⁶ x 100)  

I = 10 Log₁₀ (10⁸)                

I = 80 dB                      

hence, the intensity will be increased by (80 dB -60 dB) 20 dB when 100 people start talking together.

5 0
3 years ago
How do you convert Kg's to Newtons?
MA_775_DIABLO [31]
You don't convert kilograms to newtons.  By the time you've heard of these units, you know that 'kilogram' is a unit of mass, 'newton' is a unit of force or weight, and that mass and weight are different things.

Mass and force are <u>related</u> by Newton's second law: 

                       Force = Mass x acceleration .

From this simple formula, you can see that in order to relate a mass to a force, you need to know an acceleration.  And if the acceleration changes, then the relationship between the force and the mass also changes.  So there's no direct conversion.

ON EARTH ONLY, one kilogram of mass <em>weighs</em> 9.8 newtons. The acceleration that connects them is the acceleration of gravity on Earth.  In other places, with different gravitational accelerations, 1 kilogram weighs more or less newtons.

But they don't convert directly.  That would be like asking "How do you convert miles to miles-per-hour ?" 
5 0
3 years ago
Other questions:
  • A series AC circuit contains a resistor, an inductor of 150 mH, a capacitor of 5.00 mF, and a generator with DVmax 5 240 V opera
    12·1 answer
  • Supports combustion is it a chemical or physical property?
    14·2 answers
  • Which statement best explains the relationship between the wavelengths and the frequencies of all the waves in the electromagnet
    12·1 answer
  • You walk 6 m North and then 4 m south what distance did you travel? What is your displacement?
    10·1 answer
  • 1. A wall is made up of four elements, as follows:
    9·1 answer
  • Is this correct? (the table)
    12·1 answer
  • Find the magnitude of the sum
    9·1 answer
  • In the early 1900s many scientists thought that an atom consisted of a positive substance with negative charges scattered throug
    12·1 answer
  • What is the stretch when you pull with a force of 2.3 N on a spring with a spring constant of 19 N/m?
    15·1 answer
  • An old lorry is 20% efficient at converting the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!