"For an object moving at a constant speed, we would expect to see a position graph with a
1 answer:
Explanation:
The speed of an object is given by the total distance divided by the total time taken.
The position of an object shows its location. If we draw a position- time graph for an object moving at a constant speed, it will look like the attached figure. It means that the object is moving at a steady rate. It is a straight line passing through origin.
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Answer:
m³/(kg⋅s²)
Explanation:
Hello.
In this case, since the involved formula is:
By writing a dimensional analysis with the proper algebra handling, we obtain:
Thus, answer is:
m³/(kg⋅s²)
Note that the [=] is used to indicate the units of G.
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The astronaut will take 300 seconds
Explanation:
We can solve this problem by using the law of conservation of momentum.
In fact, the total momentum of the astronaut+object system must be conserved.
Initially, they are both at rest, so their total momentum is zero:
After the astronaut throws the object, their total momentum is:
where:
M = 80 kg is the mass of the astronaut
V is the final velocity of the astronaut
m = 500 g = 0.5 kg is the mass of the object
v = 8.0 m/s is the velocity of the object
Since momentum is conserved, we can write
And solving for V,
Which means that he starts moving at 0.05 m/s in the direction opposite to the object.
Now the astronaut needs to cover a distance of
d = 15.0 m
And his speed is
v = 0.05 m/s
Therefore, the time taken is
Learn more about momentum here:
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Answer :
The least possible uncertainty in an electron's velocity is,
The percentage of the average speed is, 33 %
Explanation :
According to the Heisenberg's uncertainty principle,
...........(1)
where,
= uncertainty in position
= uncertainty in momentum
h = Planck's constant
And as we know that the momentum is the product of mass and velocity of an object.
or,
.......(2)
Equating 1 and 2, we get:
Given:
m = mass of electron =
h = Planck's constant =
radius of atom =
= diameter of atom =
Now put all the given values in the above formula, we get:
The minimum uncertainty in an electron's velocity is,
Now we have to calculate the percentage of the average speed.
Percentage of average speed =
Uncertainty in speed =
Average speed =
Percentage of average speed =
Percentage of average speed = 33.2 % ≈ 33 %
Thus, the percentage of the average speed is, 33 %