(A) $(1)$ Work done by the applied force $W_f = F \cdot s = 60 \times 5 = 300 \ J$.$(2)$ Potential energy $U = mgh = 5 \times 9.8 \times 5 = 245 \ J$.

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$300 \ J, 245 \ J, 55 \ J, 4.69 \ m/s$

(A) $(1)$ Work done by the applied force $W_f = F \cdot s = 60 \times 5 = 300 \ J$.$(2)$ Potential energy $U = mgh = 5 \times 9.8 \times 5 = 245 \ J$.$(3)$ By the Work-Energy Theorem,the change in kinetic energy is equal to the net work done: $K = W_{net} = W_f + W_g = 300 - 245 = 55 \ J$.$(4)$ Since $K = \frac{1}{2}mv^2$,we have $55 = \frac{1}{2} \times 5 \times v^2$. Thus,$v^2 = \frac{55 \times 2}{5} = 22$. Therefore,$v = \sqrt{22} \approx 4.69 \ m/s$.

Class 11 Physics Work, Energy, Power and Collision Mix Examples-Work, Energy, Power and Collision

Medium

$A$ block of mass $5 \ kg$ is lifted to a height of $5 \ m$ by a force of $60 \ N$. Find:
$(1)$ Work done by the force.
$(2)$ Potential energy of the block at $5 \ m$.
$(3)$ Kinetic energy of the block at $5 \ m$.
$(4)$ Velocity of the block at $5 \ m$. (Take $g = 9.8 \ m/s^2$)

A
$300 \ J, 245 \ J, 55 \ J, 4.69 \ m/s$
B
$200 \ J, 245 \ J, 50 \ J, 4.69 \ m/s$
C
$150 \ J, 150 \ J, 50 \ J, 4.69 \ m/s$
D
$300 \ J, 245 \ J, 100 \ J, 10.69 \ m/s$

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Mix Examples-Work, Energy, Power and Collision

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$A$ block of mass $5 \ kg$ is lifted to a height of $5 \ m$ by a force of $60 \ N$. Find:$(1)$ Work done by the force.$(2)$ Potential energy of the block at $5 \ m$.$(3)$ Kinetic energy of the block at $5 \ m$.$(4)$ Velocity of the block at $5 \ m$. (Take $g = 9.8 \ m/s^2$)

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$A$ mass of $10 \, g$ moving with a velocity of $100 \, cm/s$ strikes a pendulum bob of mass $10 \, g$. The two masses stick together. The maximum height reached by the system now is ............... $cm$ $(g = 10 \, m/s^2)$.

$A$ truck and a car are moving with equal velocity. On applying the brakes,both will stop after a certain distance. Which of the following is true?

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$A$ block of mass $5 \ kg$ is lifted to a height of $5 \ m$ by a force of $60 \ N$. Find:
$(1)$ Work done by the force.
$(2)$ Potential energy of the block at $5 \ m$.
$(3)$ Kinetic energy of the block at $5 \ m$.
$(4)$ Velocity of the block at $5 \ m$. (Take $g = 9.8 \ m/s^2$)