Answer:

Explanation:
Given that
Radius of track = R
Radius of ball = r
The ball can be treated as solid sphere, so
The moment of inertia of ball

When the ball reach at the lowest position then it will have both angular and linear speed.
Condition for rolling without slipping v= ωr
Form energy conservation

v= ωr






Population density<span> (in agriculture: standing stock and standing crop) is a measurement of </span>population<span> per unit area or unit volume; it is a quantity of type number </span>density<span>. It is frequently applied to living organisms, and most of the time to humans.</span>
Explanation:
Solution,
Volume (v)=287 cm^3
Mass(m)=816 g
Density(d)=m/v
=816/287
=2.84
So, the density of the block of marbles is 2.84 g/cm^3.
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Answer:
The impulse is -20kg m/s.
Explanation:
given mass of ball = 0.4 kg
The ball is moving towards left with the initial velocity = 30m/s
The momentum in left direction P1 = mv1
= (0.4)(30)
= 12 kg m/s
The given velocity towards right = -20 m/s ( negative sign shows inverse direction)
Momentum towards right, P2 = mv2
P2 = (0.4)(-20)
P2 = -8 kg m/s
The Impulse = change in momentum
= P2 –P1
= -8-12
= -20 kg m/s