Certain insects can achieve seemingly impossible accelerations while jumping. The click beetle accelerates at an astonishing 400
1 answer:
A) Speed at which the insect leaves the ground: 6.7 m/s
B) Time needed: 1.7 ms
C) Maximum height reached: 2.3 m
Explanation:
A)
The motion of the click beetle is a uniformly accelerated motion, so we can find the speed at which it leaves the ground by using the following suvat equation:
where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacement
During the phase of acceleration, we have:
u = 0 (it starts from rest)
(acceleration)
s = 0.58 cm = 0.0058 m is the distance covered
Solving for v, we find the velocity at which the insect leaves the ground:
B)
The time needed for the beetle to reach this speed can be found by using another suvat equation:
where
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time
In this case, we have
u = 0
v = 6.7 m/s (found in part a)
Therefore, the time needed is
C)
In order to solve this part, we can apply the law of conservation of energy: in fact, the total mechanical energy of the beetle is conserved, therefore the initial kinetic energy is entirely converted into potential energy as the insect reaches the maximum height. So we can write
where
m is the mass of the beetle
h is the maximum height reached
g is the acceleration due to gravity
v is the initial speed
Re-arranging the equation,
And substituting
v = 6.7 m/s
We find
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Answer:
U
Explanation:
The first law of thermodynamics states that:
where
U is the internal energy of the gas, which represents the sum of the chemical and thermal energy stored in the atoms and molecules of the gas
represents the variation of internal energy
Q is the heat absorbed by the system
W is the work done by the system
So, the sum of the chemical and thermal energy stored in atoms and molecules is represented by U, the internal energy.