Answer:2000cm3
Explanation: this is Charles' law which has the expression V1/T1 = V2/T2
Making V2 the subject of the formula, we have that
V2 = V1 x T2/ T1
= 1000 x 600 / 300
= 2000cm3
Where:
V1= initial velocity
V2= Final velocity
T1= initial temperature
T2= Final temperature
Since any first distanced1=λ(2N1−1)/4, whereN1= 1,2,3,· · ·will do, the first distance only cannot be used to know the wavelength.The space between the resonances is ½ a wavelength, soλ= 2 [d2−d1]= 2 [(35 cm)−(25 cm)]= 20 cm.
The frequency isF = vλ=343 m/s2 [(35 cm)−(25 cm)]= 1715 Hz.
1) 29.5 N/m
2) 0.100 m
Explanation:
1)
The force constant of the spring can be found by using the fact that the force on the spring is proportional to the extension of the spring (Hooke's Law). Therefore, we can write:
where
is the change in the force on the spring, where
is the force applied when the hanging mass is
is the force applied when the hanging mass is
is the change in extension of the spring, where
is the extension of the spring when the hanging mass is 0.300 kg
is the extension of the spring when the hanging mass is 1.95 kg
Solving for k,
2)
When the first mass is hanging on the spring, we have
where:
is the force applied on the spring (the weight of the hanging mass)
k is the spring constant
is the extension of the spring wrt its natural length
is the natural length of the spring (the unloaded length)
Here we have
k = 29.5 N/m
Solving for , we find:
Answer:
it's C and D... do you understand?
The prefix of a unit could give you a hint on its extent with respect to the base unit. In this case, the base unit is money in terms of dollars. When you say kilodollars, that would be 1,000 times as large as a dollar. Hence,
33,200 dollars * 1 kilodollar/ 1,000 dollars = 33.2 kilodollars
When you say megadollars, that would be a million times as large as a dollar. Hence,
33,200 dollars * 1 megadollar/1,000,000 dollars = 0.0332 megadollars
