Answer:
Answer:
a. 1.594 m/s = v
b. 1.274 m/s = v
Explanation:
A) First calculate the potential energy stored in the spring when it is compressed by 0.180 m...
U = 1/2 kx²
Where U is potential energy (in joules), k is the spring constant (in newtons per meter) and x is the compression (in meters)
U = 1/2(13.0 N/m)(0.180 m)² = 0.2106 J
So when the spring passes through the rest position, all of its potential energy will have been converted into kinetic energy. K = 1/2 mv².
0.2106 J = 1/2(0.170 kg kg)v²
0.2106 J = (0.0850 kg)v²
2.808m²/s² = v²
1.594 m/s = v
(B) When the spring is 0.250 m from its starting point, it is 0.250 m - 0.180 m = 0.070 m past the equilibrium point. The spring has begun to remove kinetic energy from the glider and convert it back into potential. The potential energy stored in the spring is:
U = 1/2 kx² = 1/2(13.0 N/m)(0.070 m)² = 0.031J
Which means the glider now has only 0.2106 J - 0.031J = 0.1796 J of kinetic energy remaining.
K = 1/2 mv²
0.1796 J = 1/2(0.170 kg)v²
0.138 J = (0.0850 kg)v²
1.623 m²/s² = v²
1.274 m/s = v
Question: A. The state highway patrol radar guns use a frequency of 9.15 GHz. If you're approaching a speed trap driving 30.1 m/s, what frequency shift will your FuzzFoiler 2000 radar detector see?
B. The radar gun measures the frequency of the radar pulse echoing off your car. By what percentage is the measured frequency different from the original frequency? (Enter a positive number for a frequency increase, negative for a decrease. Just enter a number, without a percent sign.)?
Answer:
The frequency change percentage is 9.94%
Explanation:
The frequency shift can be calculated as follows.
= 
=9.95 GHz
So the frequency change seen by the detector is 9.95 - 9.05
% difference
= 9.94%
The image distance when a boy holds a toy soldier in front of a concave mirror, with a focal length of 0.45 m. is -0.56 m.
<h3>What is image distance?</h3>
This is the distance between the image formed and the focus when an object is placed in front of a plane mirror.
To calculate the image distance, we use the formula below.
Formula:
- 1/f = 1/u+1/v........... Equation 1
Where:
- f = Focal length of the mirror
- v = Image distance
- u = object distance
From the question,
Given:
Substitute these values into equation 1 and solve for the image distance
- 1/0.45 = 1/0.25 + 1/v
- 2.22 = 4+1/v
- 1/v = 2.22-4
- 1/v = -1.78
- v = 1/(-1.78)
- v = -0.56 m
Hence, The image distance is -0.56 m.
Learn more about image distance here: brainly.com/question/17273444
Answer:
d. The large pot of water and small cup of water have the same temperature, but the large pot of water has higher thermal energy.
Explanation:
Temperature is a measure of the average kinetic energy of individual molecules. While internal energy refers to the total kinetic energy of the molecules within the object. Since in this case we have the same amount of average kinetic energy, then the large pot of water and small cup of water have the same temperature. While the large pot of water has higher thermal energy, since has more water particles than the small cup.
