When jumping, a flea reaches a takeoff speed of 1.0 m/s over a distanc

piarepm

piarepm

Answered question

2021-12-17

When jumping, a flea reaches a takeoff speed of 1.0 m/s over a distance of 0.50 mm.
a. What is the fleas

Answer & Explanation

SlabydouluS62

SlabydouluS62

Skilled2021-12-18Added 52 answers

Step 1
Given values:
viy=0ms
vfy=1ms
yi=0m
yf=0.5103m
g=9.81ms2
a) In this case, we have to determine value of acceleration. The best way to find that is using the kinematic equation:
vf2=vi2+2a(y).
Plug in values in above equation and solve for acceleratiion:
vfy2=viy2+2ay(yfyi)
(1ms)2=(0ms)+2ay(0.5103m0m)
(1m2s2=2ay(0.5103m)
ay=(1m2s2)2(0.5103m)
ay=1000ms2
Step 2
b) Use the kinematic equation to find value of time:
vfy=viy+ayt
Plug in values in above equation and solve for time:
1ms=0ms+(1000ms2)t
t=1ms0ms(1000ms2)
t=1ms(1000ms2)
t=103s
c) It is moving straight up, so it's final speed is equal to zero when it reaches the highest point is using the kinematic equation:
vf2=vi2+2a(y)
If we plug in values in above equation, we get:
vfy2=viy2+2ay(yfyi)

Donald Cheek

Donald Cheek

Beginner2021-12-19Added 41 answers

Step 1
Part A.
Following equation will be used:
v2u2=2as
where v is the final velocity , u is the initial velocity, a is the acceleration and s is the distance traveled
Given values are as follows:
v=1ms,u=0ms,s=0.5×103m
Therefore, v2u2=2as
(1)2(0)2=2×a×5×103
a=100ms2
Step 2
Part B.
Here time is need to be calculated by following equation:
v=u+at
1=0+100×
t=0.01s
Part C.
If the flea jumps straight up then the acceleration due to gravity will be taken into account and following equation will be used.
v2u2=2gs
Given values are as follows:
v=0ms,u=1ms,g=9.8ms2
Therefore, v2u2=2gs
(0)2(1)2=2×9.8×s
s=0.051m

Nick Camelot

Nick Camelot

Skilled2023-06-17Added 164 answers

We have:
a=v2u22s
where:
a is the average acceleration,
v is the final velocity,
u is the initial velocity, and
s is the displacement.
Given that the initial velocity u is 0 m/s (since the flea starts from rest), the final velocity v is 1.0 m/s, and the displacement s is 0.50 mm (or 0.50 × 103 m), we can substitute these values into the equation:
a=(1.0m/s)2(0m/s)22×(0.50×103m)
Simplifying further:
a=1.0m/s21.0×103m
a=1.0×103m/s2
Therefore, the flea's average acceleration is 1.0×103m/s2.

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