Answer:
- 8.33 x 10⁻³ rad /s ( anticlockwise)
Explanation:
The rotational movement of beetle and turntable is caused by torque generated by internal forces , we can apply conservation of angular momentum.
That is ,
I₁ ω₁ = I₂ω₂ , ω₁ and ω₂ are angular velocity of beetle and turntable respectively.
ω₁ + ω₂ = .05 radian /s ( given )
Momentum of inertia of beetle I₁ = mass x (distance from axis)²
= 15 x 10⁻³ x R² ( R is radius of the turntable )
Momentum of inertia of turntable I₂ =1/2 mass x (distance from axis)²
= 75/2 x 10⁻³ x R² ( R is radius of the turntable )
I₁ ω₁ = I₂ω₂ ,
15 x 10⁻³ x R² x ( .05 - ω₂ ) = 75/2 x 10⁻³ x R² ω₂
15 x ( .05 - ω₂ ) = 75/2 x ω₂
.75 - 15ω₂ = 37.5ω₂
.75 = 52.5 ω₂
ω₂ = - 14.3 x 10⁻³ rad /s ( anticlockwise)
240 = 0+1/2 (-9.8t
240 = -4.9t
<span>240/-4.9 = t</span><span>
</span>49.0 = t
t= 7.0s
The amount of space an objective takes up measures by volume.
<u>Explanation:</u>
Volume is a proportion of the measure of space, unfilled column that a substance or an item takes up. The essential SI unit to volume denotes in the (cubic meter), yet volumes might be estimated in cubic centimetres, and fluids might be estimated in liters (L) or milli-liters (mL). How the volume of matter is estimated relies upon its state. The fluid's volume is estimated with an estimating holder, for example, an estimating cup or graduated chamber.
The gas volume relies upon the volume of its holder: gases able to occupy anything that space is accessible to them. The occupied space of a routinely molded strong can be determined from its measurements. For instance, the rectangle’s volume strong is the result of its width, length, and stature. The volume of a sporadically molded strong can be estimated by the uprooting technique.
Answer:
The man moves across the ice with a speed of 0.345m/s.
Explanation:
From the conservation of linear momentum, we have that the total linear momentum before the book throw is equal to the total linear momentum just after it. Since the initial velocity of the system is zero (so the initial momentum is zero), we have that:
Where 
is the mass of the man, 
is the mass of the book, and 
and 
are their velocities. Plugging in the given values, we can compute the speed of the man (ignoring the negative sign, because we care about the magnitude, not the direction):
In words, the resulting speed of the man is 0.345m/s.
Answer:
C) The ratio of the change in an object's length to its original length when stretched or compressed.
Explanation:
The formula for strain is:
Strain = Change in Length/Origin Length
Hence, it can be described as the percentile of change in the dimension with respect to the original dimension. So, whenever a tensile or a compressive force is applied on a body, its length changes. The ratio of this change to original length is called strain. So, the correct option is:
C) <u>The ratio of the change in an object's length to its original length when stretched or compressed.</u>
