A block $$\(B\)$$ of mass $$\(4 \mathrm{~kg}\)$$ is pushed up a line of greatest slope of a smooth plane inclined at $$\(30^{\circ}\)$$ to the horizontal by a force applied to $$\(B\)$$, acting in the direction of motion of $$\(B\)$$. The block passes through points $$\(P\)$$ and $$\(Q\)$$ with speeds $$\(12 \mathrm{~m} \mathrm{~s}^{-1}\)$$ and $$\(8 \mathrm{~m} \mathrm{~s}^{-1}\)$$ respectively. $$\(P\)$$ and $$\(Q\)$$ are $$\(10 \mathrm{~m}\)$$ apart with $$\(P\)$$ below the level of $$\(Q\)$$ Find the decrease in kinetic energy of the block as it moves from $$\(P\)$$ to $$\(Q\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_s20_qp_43 Year:2020 Question No:5(a)
Answer:
Decrease in \(\mathrm{KE}=\frac{1}{2} \times 4 \times\left(12^{2}-8^{2}\right)\)
\(160 \mathrm{~J}\)
\(160 \mathrm{~J}\)
Knowledge points:
4.5.2 understand the concepts of gravitational potential energy and kinetic energy, and use appropriate formulae
Solution:
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