Answer:
The distance is 0.86 m.
Explanation:
Given that,
Mass = 39 kg
Initial kinetic energy, [tex]K.E_{i} = 160\ J[/tex]
Final kinetic energy, [tex]K.E_{f} = 490\ J[/tex]
We need to calculate the work done
According to work energy theorem
[tex]W = \Delta K.E[/tex]
[tex]W=K.E_{f}-K.E_{i}[/tex]...(I)
Work done is the product of the force and displacement.
[tex]W = mgh[/tex]....(II)
From equation (I) and (II)
[tex]K.E_{f}-K.E_{i}=mgh[/tex]
[tex]490-160=39\times9.8\times h[/tex]
[tex]h = 0.86\ m[/tex]
Hence, The distance is 0.86 m.
