A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3 h from the ground, as shown in the figure. A spherical ball of mass m is released on the slide from rest at a height h from the top of the terrace. The ball leaves the slide with a velocity \overrightarrow{u}_0=u_0 \stackrel{\^}{x} and falls on the ground at a distance d from the building making an angle \theta with the horizontal. It bounces off with a velocity \overrightarrow{v} and reaches a maximum height h_1. The acceleration due to gravity is g and the coefficient of restitution of the ground is 1 \/ \sqrt{3}. Which of the following statement(s) is(are) correct? [JEE Adv 2023 P1]

\overrightarrow{u}_0=\sqrt{2 g h} \stackrel{\^}{x}

\overrightarrow{v}=\sqrt{2 g h}(\stackrel{\^}{x}-\stackrel{\^}{z})

Impulse & Momentum

Section: Physics

Question : 3 of 16

Marks: +1, -0

A slide with a frictionless curved surface, which becomes horizontal at its lower end, is fixed on the terrace of a building of height 3h from the ground, as shown in the figure. A spherical ball of mass m is released on the slide from rest at a height h from the top of the terrace. The ball leaves the slide with a velocity

→

0=u0

and falls on the ground at a distance d from the building making an angle θ with the horizontal. It bounces off with a velocity

→

and reaches a maximum height h1. The acceleration due to gravity is g and the coefficient of restitution of the ground is 1∕√3. Which of the following statement(s) is(are) correct?

[JEE Adv 2023 P1]

→
u
0=√2gh
^
x
→
v
=√2gh(
^
x
−
^
z
)
θ=60∘
d∕h1=2√3

Validate

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