(A) According to the principle of conservation of mechanical energy, the sum of kinetic energy and potential energy at the starting point '$X$' must b

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(A) According to the principle of conservation of mechanical energy, the sum of kinetic energy and potential energy at the starting point '$X$' must be equal to the sum of kinetic energy and potential energy at the peak '$Z$'.$mgh + \frac{1}{2}mv^2 = mgh' + \frac{1}{2}mv'^2$Dividing by mass $m$ on both sides:$gh + \frac{1}{2}v^2 = gh' + \frac{1}{2}v'^2$Rearranging for $v'^2$:$v'^2 = 2g(h - h') + v^2$Given: $h = 100 \ m$, $h' = 60 \ m$, $v = 10 \ m \ s^{-1}$, and $g = 10 \ m \ s^{-2}$.$v'^2 = 2 \times 10 \times (100 - 60) + (10)^2$$v'^2 = 20 \times 40 + 100$$v'^2 = 800 + 100 = 900$$v' = \sqrt{900} = 30 \ m \ s^{-1}$

Class 11 Physics Work, Energy, Power and Collision Work Energy Theorem and Conservation of Mechanical Energy

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$A$ car driver is trying to jump across a path as shown in the figure by driving horizontally off a cliff '$X$' at a speed of $10 \ m \ s^{-1}$. When he touches peak '$Z$' (ignore air resistance), what would be his speed (in $m \ s^{-1}$)? (use $g = 10 \ m \ s^{-2}$)

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A
$30$
B
$40$
C
$15$
D
$50$

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Work, Energy, Power and Collision

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Work Energy Theorem and Conservation of Mechanical Energy

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$A$ car driver is trying to jump across a path as shown in the figure by driving horizontally off a cliff '$X$' at a speed of $10 \ m \ s^{-1}$. When he touches peak '$Z$' (ignore air resistance), what would be his speed (in $m \ s^{-1}$)? (use $g = 10 \ m \ s^{-2}$)

Similar Questions

$A$ body of mass $3 \text{ kg}$ is moving under the action of a force which causes a displacement of $\left(\frac{t^3}{3}\right) \text{ m}$, where '$t$' is time in seconds. The work done by the force in the first $2 \text{ seconds}$ is: (in $\text{ J}$)

$A$ bullet of mass $10 \ g$ is fired with a velocity of $800 \ m/s$. After passing through a mud wall of thickness $1 \ m$,its velocity decreases to $100 \ m/s$. Find the average resistive force exerted by the mud wall in $N$.

$A$ particle of mass $500 \,g$ is moving in a straight line with velocity $v = b x^{5/2}$. The work done by the net force during its displacement from $x = 0$ to $x = 4 \,m$ is ................... $J$ (Take $b = 0.25 \,m^{-3/2} s^{-1}$)

An object of mass $8 \ kg$ moves under the influence of a force. The position of the object varies with time as $x = \frac{1}{2} t^2$,where $x$ is in meters and $t$ is in seconds. Find the work done by the force in the first $2 \ s$ in $J$.

Three particles $A, B$, and $C$ are thrown from the top of a tower with the same speed $u$. Particle $A$ is thrown upwards, $B$ is thrown downwards, and $C$ is thrown horizontally. If they hit the ground with speeds $V_A, V_B$, and $V_C$ respectively, then:

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