The velocity at which 6 kg mass (shown in figure) strikes the ground when it is released from a height of 6 m above the ground is

Question

The velocity at which 6 kg mass (shown in figure) strikes the ground when it is released from a height of 6 m above the ground is ______ m/s. Assume pulley is massless and string is light and inextensible. (Take g = 10 ${m/s}^{2}$ ). [2026]

Smart Achievers · Accepted Answer

(1)

$W_{G} = Δ K$

$m_{B} g h - m_{A} g h = \frac{1}{2} (m_{A} + m_{B}) v^{2}$

$(6 - 2) \times 10 \times 6 = \frac{1}{2} (8) v^{2}$

$\Rightarrow v = \sqrt{60} m / s = 7.746 m / s$

Solution

Q.
The velocity at which 6 kg mass (shown in figure) strikes the ground when it is released from a height of 6 m above the ground is ______ m/s. Assume pulley is massless and string is light and inextensible. (Take g = 10 ${m/s}^{2}$ ). [2026]

1 7.74

2 7.20

3 6.55

4 4.50

Ans.
(1)

$W_{G} = Δ K$

$m_{B} g h - m_{A} g h = \frac{1}{2} (m_{A} + m_{B}) v^{2}$

$(6 - 2) \times 10 \times 6 = \frac{1}{2} (8) v^{2}$

$\Rightarrow v = \sqrt{60} m / s = 7.746 m / s$

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