V = I • R
V = (0.054 A) • (152 ohms)
V = 8.208 volts
None of the listed choices is correct.
The same thing that holds everything else 'down' --- gravity.
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:
(a) increase by times
Explanation:
Natural frequency of a wave in a string is given by:
where, L is the length of the string, T is the tension in the string and is the linear density of the string.
Considering the length and linear density of the string are constant, if the tension in a string is doubled, the natural frequency of the string would:
Thus, the natural frequency of the string would increase by times.
Answer:
c. The less massive object will have less momentum if the velocities are the same.
Explanation:
p = mv
If the velocities are the same, p ∝ m, so the less massive object will have less momentum.
a. is wrong. If the masses are equal, p ∝ v, so the object with the higher velocity will have the greater momentum.
b. is wrong. If an object has both more mass and a greater velocity, it will have the greater momentum.
d. is wrong. If the velocities are the same, the more massive object will have more momentum.