Answer:
The constant value is
The net displacement is
Explanation:
If the acceleration as a function of time is given then, first of all, knowing that the units of acceleration should be we should have where stands for The dimension of k (these are just the units of k in a less formal way of saying it.
On the other hand we have only information about the velocity, but we only have the acceleration function, it turns out we can integrate the expression of acceleration in order to obtain the velocity as a function of time:
where as a constant of integration which should have units of in order to be consistent with the fact that it is a velocity function, it is therefore natural to think of as the initial velocity of the the particle.
Let's now get our hands dirty by integrating
.
By having the velocity as a function of time we can now use the conditions given at t=0 and t=6.
At t=0 we have:
At t=6 the particle start reversing direction, that means at that very instant it velocity should be zero in order to start traveling the other way. This can only mean the following
.
We have a full description now of the acceleration and the velocity function. In order to get the net displacement we need to integrate the velocity function
Where is the initial displacement. If we subtract on both sides we get the net displacement or distance traveled
Plugging the value of 6 above gives us the net displacement
.
Answer:
The De Broglie wavelength decreases
Explanation:
The relationship between the De Broglie wavelength of a particle and its momentum is given by
where
is the De Broglie wavelength of the particle
h is the Planck constant
p is the momentum of the particle
As we see from the formula, there is an inverse relationship between the De Broglie's wavelength and the momentum. Therefore, we can conclude that:
- if the momentum of the electron increases,
- its De Broglie wavelength will decrease
and vice-versa.
Q = mcθ
Where Q = Amount of heat in J
m = Mass of substance in kg
θ = Temperature rise in °C or K
C = Specific heat capacity in J/kgK
From given data:
Q = 33 kJ = 33 000 J, m= 2.0 kg, θ = 80 K, c = ?
33000 = 2 * c * 80
33000 = 160c
160c = 33000
c = 33000/160 = 206.25
Therefore specific heat capacity is 206.25 J/kgK
Explanation:
ride. You estimate the radius of thebig wheel to be 15 {\rm m}, and you use your watch tofind that each loop around takes 25 {\rm s}.a.What is your speed