Answer:
The answer is 2,416 m/s. Let's jump in.
Explanation:
We do work with the amount of energy we can transfer to objects. According to energy theory:
W = ΔE
Also as we know W = F.x
We choose our reference point as a horizontal line at the block's rest point. At the rest, block doesn't have kinetic energy and since it is on the reference point(as we decided) it also has no potential energy.
Under the force block gains;
W = F.x → [tex]W=2,55.0,71=1,8105\frac{N}{m}[/tex]
In the second position block has both kinetic and potential energy. Following the law of conservation of energy;
W = ΔE = Kinetic energy + Potantial Energy
W = ΔE = [tex]\frac{1}{2} mV^{2} + mgh[/tex]
Here we can find h in the triangle i draw in the picture using sine theorem;
In a triangle [tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
In our situation
[tex]\frac{0,71}{sin90} =\frac{h}{sin32}[/tex] → [tex]h=0,376[/tex]
Therefore
[tex]1,8105=\frac{1}{2} 0,274V^{2} +0,274.9,81.0,376[/tex]
→ [tex]V=2,416[/tex]
