Answer:
F = 1.2×10⁻³ N
Explanation:
From the question,
Applying newton's second law of motion,
F = m(v-u)/t................... Equation 1
Given: F = magnitude of the average force exerted on the ball, m = mass of the ball, v = final velocity, u = initial velocity, t = time of contact.
Note: let downward be negative and upward be positive.
Given: m = 48 g = 48/1000 = 0.048 kg, v = 17 m/s, u = -28 m/s (downward),
t = 1800 s
Substitute into equation 1
F = 0.048(17-[28])/1800
F = 1.2×10⁻³ N
B. become a white dwarf star
It will swell, shed its layers, and become a white dwarf star.
I know the sun does not have enough mass to become a supernova or a black hole.
Answer:
d = 8.4 cm
Explanation:
In order to calculate the amplitude of oscillation of the top of the building, you use the following formula for the max acceleration of as simple harmonic motion:
(1)
A: amplitude of the oscillation
w: angular speed of the oscillation = 2
f
f: frequency = 0.17Hz
The maximum acceleration of the top of the building is a 2.0% of the free-fall acceleration. Then, you have:
![a_{max}=0.02(9.8m/s^2)=0.196\frac{m}{s^2}](https://tex.z-dn.net/?f=a_%7Bmax%7D%3D0.02%289.8m%2Fs%5E2%29%3D0.196%5Cfrac%7Bm%7D%7Bs%5E2%7D)
Then, you solve for A in the equation (1) and replace the values of the parameters:
![A=\frac{a_{max}}{\omega^2}=\frac{a_{max}}{4\p^2i f^2}\\\\A=\frac{0.196m/s^2}{16\pi^2(0.17Hz)^2}\\\\A=0.042m=4.2cm](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Ba_%7Bmax%7D%7D%7B%5Comega%5E2%7D%3D%5Cfrac%7Ba_%7Bmax%7D%7D%7B4%5Cp%5E2i%20f%5E2%7D%5C%5C%5C%5CA%3D%5Cfrac%7B0.196m%2Fs%5E2%7D%7B16%5Cpi%5E2%280.17Hz%29%5E2%7D%5C%5C%5C%5CA%3D0.042m%3D4.2cm)
The total distance, side to side, of the oscilation of the top of the building is twice the amplitude A. Then you obtain:
d = 2A = 2(4.2cm) = 8.4cm
Electrical Energy because the electrons in the battery travel from out one end of the battery through a circuit and back to the other end