Potential energy is measured using formula Ep=mgh
m=mass (kg)
g= acceleration due to gravity (which is 9.8 on earth)
h= height in metres above ground
For this question
m=0.1
g=9.8
h=1
So Ep=0.1(9.8)(1)
Ep=0.98 Joules
When it is dropped all of this potential energy is converted into kinetic energy which can be measured using formula
Ek=1/2m(v^2) (v=final velocity)
Since all potential energy in this q is converted to kinetic we know Ek=0.98Joules and our mass is the same (0.1kg)
So when we sub everything in we get
0.98=1/2(0.1)(v^2)
0.98=0.05(v^2)||divide both side by 0.05
19.6=v^2 ||square root both sides
v=4.4 m/s
Answer:
317.22
Explanation:
Given
Circular platform rotates ccw 93.1kg, radius 1.93 m, 0.945 rad/s
You 69.7kg, cw 1.01m/s, at r
Poodle 20.2 kg, cw 1.01/2 m/s, at r/2
Mutt 17.7 kg, 3r/4
You
Relative
ω = v/r
= 1.01/1.93
= 0.522
Actual
ω = 0.945 - 0.522
= 0.42
I = mr^2
= 69.7*1.93^2
= 259.6
L = Iω
= 259.6*0.42
= 109.4
Poodle
Relative
ω = (1.01/2)/(1.93/2)
= 0.5233
Actual
ω = 0.945- 0.5233
= 0.4217
I = m(r/2)^2
= 20.2*(1.93/2)^2
= 18.81
L = Iω
= 18.81*0.4217
= 7.93
Mutt
Actual
ω = 0.945
I = m(3r/4)^2
= 17.7(3*1.93/4)^2
= 37.08
L = Iω
= 37.08*0.945
= 35.04
Disk
I = mr^2/2
= 93.1(1.93)^2/2
= 173.39
L = Iω
= 173.39*0.945
= 163.85
Total
L = 109.4+ 7.93+ 36.04+ 163.85
= 317.22 kg m^2/s
(a) The maximum height reached by Jane is 1.8 m.
(b) The length of the vine will affect the time of her motion, which will impact on speed and maximum height attained.
<h3>
Maximum height Jane can swing</h3>
apply the principle of conservation of energy;
P.E = K.E
mgh = ¹/₂mv²
h = v²/2g
where;
- v is speed of jane
- g is acceleration due to gravity
h = (6²)/(2 x 9.8)
h = 1.84 m
<h3>Time of motion of Jane</h3>
Assuming Jane to be in simple harmonic motion, the time of motion is calculated as;
T = 2π√(L/g)
where;
- L is the length of the vine
Thus, the length of the vine will affect the time of her motion, which will impact on speed and maximum height attained.
Learn more about maximum height here: brainly.com/question/12446886
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<span> Lack of an atmosphere on the Moon greatly reduces the erosion of the surface. </span>
Answer:
2.5 ms⁻²
Explanation:
By Newton's 2nd law,
The rate of change of momentum is directly proportional to the unbalance force applied on the object,
By that you can get the equation,
F = ma ⇒ a = F/m
where terms are in usual meaning
a = 3750/1500 = 2.5 ms⁻²