A 4x100 relay is where 4 people run 100 meters and a 4x400 relay is where 4 people run 400 meters
Answer:



Explanation:
<u>Simple Pendulum</u>
It's a simple device constructed with a mass (bob) tied to the end of an inextensible rope of length L and let swing back and forth at small angles. The movement is referred to as Simple Harmonic Motion (SHM).
(a) The angular frequency of the motion is computed as

We have the length of the pendulum is L=0.81 meters, then we have


(b) The total mechanical energy is computed as the sum of the kinetic energy K and the potential energy U. At its highest point, the kinetic energy is zero, so the mechanical energy is pure potential energy, which is computed as

where h is measured to the reference level (the lowest point). Please check the figure below, to see the desired height is denoted as Y. We know that

And

Solving for Y



The potential energy is


The mechanical energy is, then


(c) The maximum speed is achieved when it passes through the lowest point (the reference for h=0), so the mechanical energy becomes all kinetic energy (K). We know

Equating to the mechanical energy of the system (M)

Solving for v


Answer
given,
diameter of sphere = 5 cm
radius of sphere = -2.5 cm
refractive index for glass n₁ = 1.5
refractive index for air n₂ = 1
magnification of the glass = ?
now,



S' = - 10 cm
magnification


m = + 3
Complete question:
A volume V= 2.48 L of an ideal nitrogen gas (N2) are at temperature T= 0.964°C and pressure p = 1.49 atm. Find the number of moles of the gas.
Answer:
The number of mole of the gas is 0.164 mol.
Explanation:
Given;
volume of the ideal gas, V = 2.48 L
temperature of the gas, T = 0.964 °C = 273K + 0.964 = 273.964 K
pressure of the gas, P = 1.49 atm
The number of moles of the gas is calculated by using ideal gas equation;
PV = nRT
where;
n is the number of moles of the gas
R is ideal gas constant = 0.082057 L.atm/mol.K

Therefore, the number of mole of the gas is 0.164 mol.