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Nady [450]
3 years ago
11

In a physics lab experiment, a compressed spring launches a 32 g metal ball at a 35 degree angle compressing the spring 18 cm ca

use the ball to hit the floor 1.6 m below the point at which it leaves the spring after traveling 5.2 m horizontally.
What is the spring constant?
Physics
1 answer:
Free_Kalibri [48]3 years ago
5 0

Ball hits the floor at 1.6 m below the initial position

So here we can say that

\Delta y = -1.6 m

also it will hit at horizontal distance of 5.2 m

\Delta x = 5.2 m

let say its velocity in x and y directions are given as

v_x ,v_y

now we can say

v_x* t = 5.2

-1.6 = v_y * t - \frac{1}{2}gt^2

from above two equations

-1.6 = v_y* \frac{5.2}{v_x} - 4.9t^2

as we know that it is projected at an angle of 35 degree

so we know that

v_y = v_x tan35

-1.6 = 5.2 tan35 - 4.9 t^2

4.9 t^2 = 3.64 + 1.6 = 5.24

t = 1.03 s

now we have

v_x * 1.03 = 5.2

v_x = 5.03 m/s

also we can find vertical component of velocity as

v_y = v_x tan35 = 3.52 m/s

now we will find net velocity as

v^2 = v_x^2 + v_y^2

v^2 = 5.03^2 + 3.52^2

v = 6.14 m/s

now by energy conservation we can say

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

k*(0.18)^2= 0.032*(6.14)^2

k = 37.2 N/m

so spring constant is 37.2 N/m

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Gnoma [55]

Vertical:

(20 m/s) sin(25º) ≈ 8.45 m/s

Horizontal:

(20 m/s) cos(25º) ≈ 18.1 m/s

7 0
3 years ago
A sample with a path length of 1 cm absorbs 99.0% of the incident light at a wavelength of 274 nm, measured with respect to an a
Ksju [112]

Answer:

17. NADH has a molar extinction coefficient of 6200 M2 cm at 340 nm. Calculate the molar concentration of NADH required to obtain an absorbance of 0.1 at 340 nm in a 1-cm path length cuvette. 18. A sample with a path length of 1 cm absorbs 99.0% of the incident light at a wavelength of 274 nm, measured with respect to an appropriate solvent blank. Tyrosine is known to be the only chromophore present in the sample that has significant absorption at 274 nm. Calculate the molar concentration of tyrosine in the sample.

Explanation:

8 0
3 years ago
Indicate whether the statement is true or false. Any force that causes an object to move in a circular path is called a centripe
Anna35 [415]
True, the definition of "centripetal force" is <span>a force that acts on a body moving in a circular path and is directed toward the center around which the body is moving.</span>
7 0
3 years ago
The spring constant, k, for a 22cm spring is 50N/m. A force is used to stretch the spring and when it is measured again it is 32
lutik1710 [3]

Answer:

5N

Explanation:

Given parameters:

Original length = 22cm

Spring constant, K  = 50N/m

New length = 32cm

Unknown

Force applied  = ?

Solution:

The force applied on a spring can be derived using the expression below;

   Force  = KE

 k is the spring constant

 E is the extension

  extension = new length - original length

  extension  = 32cm  - 22cm  = 10cm

convert the extension from cm to m;  

   100cm  = 1m;

    10cm will give 0.1m

So;

  Force  = 50N/m x 0.1m  = 5N

8 0
3 years ago
Which tools collect images during space exploration? Check all that apply. rovers orbiters satellites space shuttles space stati
grigory [225]

Answer:

1. Rovers- These are vehicles which are designed to move on the surface on any celestial body and collect samples, data and images. Sometimes, these can be used to transport mission crew members.

2. Orbiters- These are spacecrafts designed to orbit any celestial body and collect data in form of images.

3. satellites- artificial satellites are placed in the orbit of celestial bodies for various purposes. There are various types of satellites like communication satellite, weather satellites, space telescopes. These collect images and data inform of signals.

4. space stations: It is a satellite where research and experiments take place. Images are also collected for research purpose.

Space shuttle is a wrong option because it is just a vehicle to transport these satellites and probes into the space and place in the orbit or surface of celestial body.

4 0
4 years ago
Read 2 more answers
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