Answer:
The magnitude of displacement is 0.082m
Explanation:
While the ball is in motion,we have MV + mv= 0 ...eq1
Where M = combined mass of the platform and the two people.
V = velocity of the platform
m = mass of the ball
v = velocity of the ball
The distance that the platform moves is given by:
X = Vt ...eq2
Where t is the time that the ball is in the air.
The time the ball is in the air is given by:
L/(v-V) ...eq3
Where L is the length of the platform
The quantity(v-V) = velocity of the ball relative to the platform.
Combining eq2 and eq3
X = (V/(v - V))L
From eq1 , the ratios of the velocities is V/v = -m/M
X = (V/v)L / (1 - (V/v) = (-m/M) L /(1+ (m/M))
X = -mL/(M + m)
X = - (3.36kg × 3.12m) /( 119kg + 3.36kg)
X = - 10.48/ 122.36
X = -0.082m
The minus sign implies that the displacement of the platform is in the opposite direction to the displacement of the ball.
Therefore, the distance moved by the platform is the magnitude of this displacement 0.082m.
Answer: The property that will best provide evidence that the samples are solid includes:
--> if the substance has a definite shape,
-->if the substance has a definite volume
--> if it's tightly packed.
Explanation:
According to the kinetic theory of matter, every substance consist of very large number of very small particles called molecules. These molecules, which are made up of atoms that are the smallest particles of a substance that can exist in a free state.
Matter can exist in the following states:
--> Solid state
--> liquid state or
--> Gaseous state.
The general property of a substance that is in gaseous state includes:
--> Definite shape: A substance can be grouped as a solid if it's shape is fixed that is, it doesn't depend on the shape of other materials.
--> Definite volume: A substance can be grouped as a solid if it occupies its own shape. This is due to the force of cohesion among its molecules.
--> Tightly packed: A substance can be grouped as solid if the molecular movements of the particles are negligible.
From the samples under observation by Juan and kym, if the sample that possesses the above described qualities, it is a solid rather than liquid or gas.
Answer:

Explanation:
initially the merry go round is at rest
after 6.73 s the merry go round will accelerates to 20 rpm
so final angular speed is given as



so final tangential speed is given as


now average acceleration of the girl is given as



Answer:
the centripetal force on the satellite in the larger orbit is _one fourth_ as that on the satellite in the smaller orbit.
Explanation:
Mass of satellite, m
orbit radius of first, r1 = r
orbit radius of second, r2 = 2r
Centripetal force is given by

Where v be the orbital velocity, which is given by

So, the centripetal force is given by

where, g bet the acceleration due to gravity

So, the centripetal force

Gravitational force on the satellite having larger orbit
.... (1)
Gravitational force on the satellite having smaller orbit
.... (2)
Comparing (1) and (2),
F' = 4 F
So, the centripetal force on the satellite in the larger orbit is _one fourth_ as that on the satellite in the smaller orbit.
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