Answer:
Explanation:
ω = √k/m = √(33.9/0.28) = 11 rad/s
(a) maximum speed of the oscillating mass
vmax = ωA = 11(0.05) = 0.55 m/s
(b) speed of the oscillating mass when the spring is compressed 1.5 cm
The portion of total energy that is not spring potential is kinetic
½kA² - ½kx² = ½mv²
v = √(k(A² - x²)/m) = √(33.9(0.05² - 0.015²)/0.28 = 0.52482... ≈ 0.52 m/s
(c) speed of the oscillating mass as it passes the point 1.5 cm from the equilibrium position
Different wording, but same question as part (b) 0.52 m/s
(d) value of x at which the speed of the oscillating mass is equal to one-half the maximum value m
The portion of total energy that is not kinetic is spring potential
½kA² - ½mv² = ½kx²
x = √(kA² - m(vmax/2)²) / k) = √(33.9(0.05²) - 0.28(0.55/2)²) / 33.9)
x = 0.043305...≈ 4.3 cm
Answer:
Electromagnetic force
Explanation:
There are four fundamental forces in nature:
- Gravity: it is the force that is exerted between any objects with mass. It is the weakest of all forces, so it is only relevant at planetary scales. It is always attractive, and it has an infinite range.
- Electromagnetic force: it is the force exerted between charged objects and between magnets (it is responsible for electric fields and magnetic fields). It is the 2nd strongest force, and it is the force that holds atoms in a molecule together. It can be attractive or repulsive, and it has an infinite range.
- Strong nuclear force: it is the strongest of all forces. It is responsible for holding the nucleons together inside the nucleus, and it is attractive. It has a very limited range (), so it is relevant only at very small scales
- Weak nuclear force: it is the force responsible for radioactive decays and neutrino interactions. It also has a very short range (
Looking at all these definitions, we see that the term that defines the force that acts between charged particles is the electromagnetic force.
Answer:
a) wavelengths seen decrease
, b) λ’/λ = 0.9998
Explanation:
a) This is a relativistic doppler effect problem that is described by
f’= f₀ √ (1+ v / c) / √ (1- v / c)
The speed of light be related to wavelength and frequency
c = λ f
f = c /λ
We replace
c /λ’= c /λ √ (1+ v / c) / √(1- v / c)
λ’= λ √ [(1-v / c) / (1 + v / c)]
This expression gives us the wavelength depends on the speed of the premiere with respect to the Earth, as the estuary approaches the Earth the speed is positive
We can see that at the root it is less than 1 whereby the wavelengths seen decrease
b) we reduce the speed to m / s
v = 30 km / s = 3 10⁴ m / s
Change is
λ’/λ = √ [(1-v / c) / (1 + v / c)]
λ’/ λ = √ [(1- 3 10⁴/3 10⁸) / (1 + 3 10⁴/3 10⁸)]
λ’/ λ = √ (0.9999 / 1.0001)
λ’/λ = 0.9998
Answer:
Final speed of boat + man is 1.66 m/s
Explanation:
As we know that there is no friction on the system or there is no external force on this system
So here we can use momentum conservation here
so we have
m = 85 kg
M = 135 kg
v = 4.30 m/s
now we have