Answer:
D
data as proportions of a whole
Explanation:
Gravity is the force of attraction between two objects. It depends upon the mass of the objects and the distance between the objects. Mathematically, the force of gravity is given by :
Where
G is the universal gravitational constant
are masses
d is the distance between two masses
So, statement (2) describes gravity "Gravity is the force of attraction between two objects; it is dependent upon the mass of the objects and the distance between the objects".
Initial momentum of the Play-doh: 0.0600 x 2.60 = 0.156 kg/m/s
Total mass of the block and play-doh: 0.38 + 0.0600 = 0.44 kg.
Final momentum is mass x velocity = 0.44v
V = Initial momentum / mass
V = 0.156 / 0.44 = 0.3545 m/s
Work done by spring is equal to the Kinetic enrgy.
Work Done by spring = 1/2 *28.0 * distance^2 = 14 * d^2
KE = 1/2 * 0.44* 0.3545^2
set to equal each other:
14 * d^2 = 0.22 *0.12567
Solve for d:
d = √(0.22*0.12567)/14
d = 0.44 meters = 4.4cm
With an acceleration of 4.0 m/s², the bottle attains a speed of
(4.0 m/s²) * (9.0 s) = 36 m/s
so that the slide has length ∆<em>x</em> such that
(36 m/s)² - 0² = 2 * (4.0 m/s²) * ∆<em>x</em>
==> ∆<em>x</em> = 162 m ≈ 160 m
Alternatively, we know the bottle covers a distance ∆<em>x</em> with acceleration <em>a</em> at time <em>t</em> according to
∆<em>x</em> = 1/2 <em>a</em> <em>t</em>²
so that
∆<em>x</em> = 1/2 * (4.0 m/s²) * (9.0 s)² = 162 m ≈ 160 m