Answer:
2.09 m/s
Explanation:
As the spring is stretched initially , and the mass released from rest i.e v=0. Also, The next time the speed becomes zero again is when the spring is fully compressed, and the mass is on the opposite side of the spring with respect to its equilibrium position, after a time t=0.600 s. This illustrates half oscillation of the system.
Therefore, for the period of a full oscillation of the system
T= 2t => 2(0.6)=> 1.2 s
As the frequency is the reciprocal of the period, we have
f= 1/T => 1/1.2
f= 0.833 Hz
The angular frequency'ω' is given by,
ω= 2πf => 2π x 0.833=>5.23 rad/s
For the maximum velocity of the object in a spring-mass system:
V
= Aω
where A is the amplitude of the oscillation. As here, the amplitude of the motion corresponds to the initial displacement of the object (A=0.400 m)
V= 0.4 x 5.23 =>2.09 m/s
Answer:
a) v= 2.1 m/s
b) ω = 0.807 rad/s
Explanation
Conceptual analysis :
The dog and the merry-go- round describes a circular motion, then, the following formulas apply :
Formula (1)
v = ω *r Formula (2)
Where:
: Centripetal acceleration(m/s²)
v: linear speed or tangential (m/s)
r : radius of the circle (m)
ω : angular speed ( rad/s)
Data
r= 2.6 m
= 1.7 m/s²
Problem develpment
a) We replace data in the formula 1 to calculate the dog's linear speed(v):
v= 2.1 m/s
b)We replace data in the formula 2 to calculate the angular speed of the merry-go- round (ω).
v = ω *r
2.1 = ω *2.6
ω = 2.1/2.6
ω = 0.807 rad/s
Answer:
well people find a hole on the ground and they can see water and that theu build the well around them but the answer is. C
The answer should be A.
Mountain formations tend to take thousands of years to form, lava rolls relatively slowly, and lightning can travel faster than rockets.
Hope this helped!
Answer:
1. K.E = 11.2239 kJ ≈ 11.224 kJ
2. 
3. 
Solution:
Now, the kinetic energy of an ideal gas per mole is given by:
K.E = 
where
m = no. of moles = 3
R = Rydberg's constant = 8.314 J/mol.K
Temperature, T = 300 K
Therefore,
K.E = 
K.E = 11223.9 J = 11.2239 kJ ≈ 11.224 kJ
Now,
The heat capacity at constant volume is:
Now,
Required heat transfer to raise the temperature by 
is:
