Answer:
- translation
- rotation, traslation
- traslation, rotation
- vibrating
Explanation:
El movimiento de un cuerpo cae por su propio peso <u>traslación</u>.
El movimiento de las ruedas de una bicicleta al ser pedaleada <u>rotación, traslación</u>.
El movimiento de la Tierra alrededor de sol <u>traslación, rotación</u>.
El movimiento de la cuerda de una guitarra cuando se está tocando música <u>vibración</u>.
- - - - - - - - - - - - - - - - - - - - - - - - - - - -
The movement of a body falls under its own weight <u>translation</u>.
The movement of the wheels of a bicycle when being pedaled <u>rotation, translation.</u>
The movement of the Earth around the sun, <u>translation, rotation</u>.
The movement of a guitar string when playing music <u>vibrating</u>.
Answer:

Explanation:
Velocity of wave in stretched string is given by the formula

here we know that
T = 4 N
also we know that linear mass density is given as

so we have

now the tension in the string is double
so the velocity is given as


Answer:
the work is done by the gas on the environment -is W= - 3534.94 J (since the initial pressure is lower than the atmospheric pressure , it needs external work to expand)
Explanation:
assuming ideal gas behaviour of the gas , the equation for ideal gas is
P*V=n*R*T
where
P = absolute pressure
V= volume
T= absolute temperature
n= number of moles of gas
R= ideal gas constant = 8.314 J/mol K
P=n*R*T/V
the work that is done by the gas is calculated through
W=∫pdV= ∫ (n*R*T/V) dV
for an isothermal process T=constant and since the piston is closed vessel also n=constant during the process then denoting 1 and 2 for initial and final state respectively:
W=∫pdV= ∫ (n*R*T/V) dV = n*R*T ∫(1/V) dV = n*R*T * ln (V₂/V₁)
since
P₁=n*R*T/V₁
P₂=n*R*T/V₂
dividing both equations
V₂/V₁ = P₁/P₂
W= n*R*T * ln (V₂/V₁) = n*R*T * ln (P₁/P₂ )
replacing values
P₁=n*R*T/V₁ = 2 moles* 8.314 J/mol K* 300K / 0.1 m3= 49884 Pa
since P₂ = 1 atm = 101325 Pa
W= n*R*T * ln (P₁/P₂ ) = 2 mol * 8.314 J/mol K * 300K * (49884 Pa/101325 Pa) = -3534.94 J