Respuesta :
Answer:
51.2Joules
Explanation:
Work done = Force × distance
Force = mg = 64.5×9.81
Force = 632.745N
Next is to get the distance using the equation of motion
v² = u²+2gS
1.26² = 0+2(9.81)S
1.5876 = 19.62S
S = 1.5876/19.62
S = 0.0809m
Get the work done:
Work done = F×S
Work done = 632.745×0.0809
Work done = 51.2Joules
Hence the net work done in Joules is 51.2Joules
The net work done required to stop a crate will be "51.2 Joules".
Force and Mass
According to the question,
Mass, m = 64.5 kg
Speed, v = 1.26 m/s
Acceleration due to gravity, g = 9.8
We know,
The force, F = mg
By substituting the values,
= 64.5 × 9.8
= 632.745 N
By using Equation of motion,
→ v² = u² + 2gS
(1.26)² = 0 + 2(9.81) S
1.5876 = 19.62 S
S = [tex]\frac{1.5876}{19.62}[/tex]
= 0.0809 m
hence,
The work done (W) will be:
= F × S
= 632.745 × 0.0809
= 51.2 Joules
Thus the above response above is correct.
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