Start with the conservation of energy. The spring potential energy and the mass' kinetic energy will fluctuate over time, but their sum will stay constant. The maximum spring potential energy equals the maximum kinetic energy.
0.5mv² = 0.5kx²
m is the mass, v is the maximum velocity, k is the spring constant, and x is the maximum displacement along the spring.
Given values:
m = 4.1kg
v = 0.78m/s
Calculate the maximum kinetic energy.
Max KE = 0.5mv² = 1.247J
Set this equal to the maximum spring potential energy.
Max spring PE = 0.5kx² = 1.247J
<em>x² = 2.494/k</em>
<em />
The spring force is F = kx
Max F = kx = 13N
x = 13/k
<em>x² = 169/k²</em>
Set both values of x² equal to each other and solve for k the spring constant:
2.494/k = 169/k²
2.494k = 169
k = 67.8N/m
Use k to find x:
Max F = kx = 13N
67.8x = 13
x = 0.192m
The frequency of the system is given by:
f = (1/(2π))√(k/m)
f is the frequency, k is the spring constant, m is the mass.
f = (1/(2π))√(67.8/4.1)
f = 0.647Hz
Answer:
E D G E N U I T Y
The first answer is 0.0098 kg
The second answer is 0.192 kg
Explanation:
- 1. The value of m is 3.735
2. The value of n is 7
<h3>What is momentum? </h3>
Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
<h3>How to determine the value of m and n</h3>
We can obtain the value of m and n by simply obtaining the momentum in scientific notation. This is illustrated below:
- Mass of train = 4.5×10⁵ Kg
- Velocity of train = 8.3×10¹ m/s
- Momentum =?
Momentum = mass × velocity
Momentum = 4.5×10⁵ × 8.3×10¹
Momentum = 3.735×10⁷ Kg⋅m/s
Thus, the value of m and n are: 3.735 and 7
Learn more about momentum:
brainly.com/question/250648
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A uniform disk is constrained to rotate about an axis passing through its center and perpendicular to the plane of the disk. If the disk starts from rest and is then brought in contact with a spinning rubber wheel, we observe that the disk gradually begins to rotate too. If after 35 s of contact with this spinning rubber wheel, the disk has an angular velocity of 4.0 rad/s, find the average angular acceleration that the disk experiences. (Assume the positive direction is in the initial direction of rotation of the disk. Indicate the direction with the sign of your answer.)
Assume after 35 s of contact with this spinning rubber wheel, the disk has an angular velocity of 11.0 rad/s.
Answer:
385 rad
Explanation:
The expression for the angular acceleration of a disk that is in contact with a spinning wheel can be given as:
where 
= 
Angular displacement of a disk can be calculated by using the formula:
substituting 11.0 rad/s for 
and t = 35 s ; we have:
Answer:
I do believe her actions were justified.
Explanation:
Due to the school charging extra fee from her father who makes a modest amount as a teacher. There was sum of money involved that could change how he lived and her.
I do not believe her actions where justified
She had a lot going for her. She could have skipped the hardship of helping grace and pass. She could have easily have gotten a good job with a degree and paid back all the debts owed. Alot of troubles could have been avoided just by doing her own thing.
