Answer:
A) g = 9.751 m/s², B) h = 2.573 10⁴ m
Explanation:
The angular velocity of a pendulum is
w = √ g / L
Angular velocity and frequency are related.
w = 2π f
f = 1 / 2π √ g / L
A) with the initial data we can look for the pendulum length
L = 1 /4π² g / f²
L = 1 /4π² 9,800 / 0.3204²
L = 2.4181 m
The length of the pendulum does not change, let's look for the value of g for the new location
g = 4π² f² L
g = 4π² 0.3196² 2.4181
g = 9.75096 m / s²
g = 9.751 m/s²
B) The value of the acceleration of gravity can be found with the law of universal gravitation
F = G m M /
²
And Newton's second law
W = m g
W = F
G m M /
² = mg
g = G M /
²
² = G M / g
Let's calculate
² = 6.67 10⁻¹¹ 5.98 10²⁴ /9.75096
R = √ 4.0905 10¹³ = √ 40.9053 10¹²
R = 6.395726 10⁶ m
The height above sea level is
h = R - [tex]R_{e}[/tex
h = (6.395726 -6.37) 10⁶
h = 0.0257256 106
h = 2.573 10⁴ m
Answer:
Explanation:
Given the following data;
Mass of child = 23 kg
Mass of bike = 5.5 kg
Velocity = 4.5 m/s
Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
To find the momentum of each of them;
I. Momentum of the child
Momentum C = mass * velocity
Momentum C = 23 * 4.5
Momentum C = 103.5 Kgm/s
II. Momentum of the bike
Momentum B = mass * velocity
Momentum B = 5.5 * 4.5
Momentum B = 24.75 Kgm/s
Hence, we can deduce from the calculations that the momentum of the child is greater than that of the bike because of the higher mass possessed by the child.
Answer:
Approximately
.
Explanation:
Assuming that there is no other force on this vehicle, the
force from the road would be the only force on this vehicle. The net force would then be equal to this
force. The size of the net force would be
.
Let
denote the mass of this vehicle and let
denote the net force on this vehicle.
By Newton's Second Law of motion, the acceleration of this vehicle would be proportional to the net force on this vehicle. In other words, the acceleration of this vehicle,
, would be:
.
For this vehicle,
whereas
. The acceleration of this vehicle would be:
.
Answer:
10,000 eV
Explanation:
According to the law of conservation of energy, the kinetic energy gained by the electron is equal to its change in electric potential energy:

where:
K is the kinetic energy of the electron
is the magnitude of the charge of the electron
is the potential difference through which the electron has been accelerated
For this electron in the TV, we have

Therefore, the kinetic energy of the electron in electronvolts is

Answer:
(a) 5.04 eV (B) 248.14 nm (c) 
Explanation:
We have given Wavelength of the light \lambda = 240 nm
According to plank's rule ,energy of light


Maximum KE of emitted electron i= 0.17 eV
Part( A) Using Einstien's equation
, here
is work function.
= 5.21 eV-0.17 eV = 5.04 eV
Part( B) We have to find cutoff wavelength



Part (C) In this part we have to find the cutoff frequency
