Horseshoe crabs, or Limulus polyphemus, are very common along the east coast of the US. Fossils of horseshoe crabs have revealed
2 answers:
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There are two forces acting on the teacher:
Force due to weight/gravity (Fg)
Force due to drag (Fd), which is a resistance opposite to the direction of motion. Think of an airplane flying through the sky: there will be air that tries to oppose the plane's direction of motion AKA air-resistance.
The force of gravity is always downward (the direction of gravity).
Like we said before, the force of drag is always opposite to the direction of motion. Since the teacher is falling down, the force of drag is exerted upward.
Look at the attached diagram. The teacher is the circle in the middle. The two arrows indicate the two forces and their directions.
Now let's look at numbers:
Fg = mg = 65kg * 9.81 m/s^2 = ??N
Fd = 320N
To find the "Net Force" we must add up all of the forces exerted on the teacher, BUT we have to take into account the direction of forces.
Let's define downward as our "positive" direction. Since downward is positive, that means our force due to gravity is positive = +Fg
But since our force due to drag is UPWARD that means our force is NEGATIVE = -Fd.
So our total net force is
The impulse is equal to the variation of momentum of the object:
where m is the mass object and
is the variation of velocity of the object.
The ball starts from rest so its initial velocity is zero:
. So we can rewrite the formula as
or
and since we know the impulse given to the ball (I=16 Ns) and its mass (m=2 kg), we can find the final velocity of the ball:
where m is the mass object and
The ball starts from rest so its initial velocity is zero:
or
and since we know the impulse given to the ball (I=16 Ns) and its mass (m=2 kg), we can find the final velocity of the ball:
Answer:
The 24th term is 80 and the sum of 24 terms is 1092.
Explanation:
Given that,
The arithmetic series is
11,14,17,........24
First term a = 11
Difference d = 14-11=3
We need to calculate the 24th term of the arithmetic sequence
Using formula of number of terms
Put the value into the formula
We need to calculate the sum of the first 24 terms of the series
Using formula of sum,
Put the value into the formula
Hence, The 24th term is 80 and the sum of 24 terms is 1092.