Answer:
The acceleration of the ball's center of mass = 2.94 m/s²
Explanation:
The speed of the ball at the base of the ramp, v = 2.63 m/s
Mass of the ball = 1.75 kg
Radius of the ball, R = 40 cm = 0.4 m
In this motion, potential energy due to the height of the ball is converted to linear angular kinetic energy
Based on the law of energy conservation
Potential energy = Linear KE + angular KE
KE = kinetic Energy
Linear KE = 0.5 mv²
Linear KE = 0.5 * 1.75 * 2.63²
Linear KE = 6.052 J
Angular KE = 0.5 Iω²
I = 2/ 3 MR² = 0.667 * 1.75 * 0.4²
I = 0.187 N.s
ω = V/R = 2.63/0.4
ω = 6.575 Rad/s
Angular KE = 0.5 * 0.187 * 6.575²
Angular KE = 4.04 J
PE = mgh = 1.75 * 9.8 * h = 17.15h
Using the law of energy conservation
17.15h = 6.052 + 4.04
h = 10.092/17.15
h = 0.589 m

Using the equation of motion

A. Diagram A because gasses can "float" and spread out, all the others are pretty close together. Answer A would be the smartest decision.
The line width is calculated as 121.6nm
Data;
- Wave length = 393.3nm
- T1 = 3000k
- T2 = 12,000K
<h3>Rydberg's Formula</h3>
This is used to calculate the wavelength of an electron when it moves from one state to another.
For Lyman series, n = 1
The energy difference in the two state transitioning are
= ∞
The formula is given thus;

R = Rydberg's constant
Z = atomic number
Since the excited electron dropped from the 1st state to the ground state, the finest line of Lyman series would be

The line width is calculated as 121.6nm
Learn more Lyman series here;
brainly.com/question/5295294