Answer:
The frequency of the simple harmonic motion of a 67.6 kg diver on the board = 2.48 Hz
Explanation:
The frequency in simple harmonic motion is related to spring constant and mass causing the motion through the relation
f = (1/2π) √(k/m)
When mass = 10 kg, f = 6.90 Hz,
6.9 = (1/2π) √(k/10)
(√(k/10) = 6.9×2π = 43.354
k/10 = 43.354² = 1879.57
K = 18795.7 N/m
When a diver of mass 67 kg climbs the diving board, the total mass on the diving board now becomes (10+67.6) = 77.6 kg
Spring constant of the diving board doesn't change,
So, the frequency is then given by
f = (1/2π) √(18795.7/77.6)
f = 2.48 Hz
Answer:
A) ΔU = 3.9 × 10^(10) J
B) v = 8420.75 m/s
Explanation:
We are given;
Potential Difference; V = 1.3 × 10^(9) V
Charge; Q = 30 C
A) Formula for change in energy of transferred charge is given as;
ΔU = QV
Plugging in the relevant values gives;
ΔU = 30 × 1.3 × 10^(9)
ΔU = 3.9 × 10^(10) J
B) We are told that this energy gotten above is used to accelerate a 1100 kg car from rest.
This means that the initial potential energy will be equal to the final kinetic energy since all the potential energy will be converted to kinetic energy.
Thus;
P.E = K.E
ΔU = ½mv²
Where v is final velocity.
Plugging in the relevant values;
3.9 × 10^(10) = ½ × 1100 × v²
v² = [7.8 × 10^(8)]/11
v² = 70909090.9090909
v = √70909090.9090909
v = 8420.75 m/s
Answer:
The maximum kinetic energy of the electrons emitted from the surface will be greater.
Option 3 is correct.
Explanation:
Given that,
Wavelength 
Wavelength 
We need to calculate the energy for first wavelength
Using formula of energy


Put the value into the formula


We need to calculate the energy for second wavelength
Put the value into the formula


So, E₂>E₁
Hence, The maximum kinetic energy of the electrons emitted from the surface will be greater.
Magnetic field 'B' at a distance 'r' from an substantially
large conductor carrying current 'i' = (2x10^ -7)('i' ) / r
Magnetic field 'B' beyond the wire= (2x10^ -7)(8.15x10^18x1.6x10^ - 19 ) /0.046
=5.7 x10^ -12 tesla
As electrons move from west to east, the conventional current is from east to
west.
By means of Maxwell's right handed corkscrew rule, the way of magnetic field is
from south to north.