Answer:
Rolling case achieves greater height than sliding case
Step-by-step explanation:
For sliding ball:
- When balls slides up the ramp the kinetic energy is converted to gravitational potential energy.
- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.
- The ball slides it only has translational kinetic energy as follows:
ΔK.E = ΔP.E
0.5*m*v^2 = m*g*h
h = 0.5v^2 / g
For rolling ball:
- Its the same as the previous case but only difference is that there are two forms of kinetic energy translational and rotational. Thus the energy balance is:
ΔK.E = ΔP.E
0.5*m*v^2 + 0.5*I*w^2 = m*g*h
- Where I: moment of inertia of spherical ball = 2/5 *m*r^2
w: Angular speed = v / r
0.5*m*v^2 + 0.2*m*v^2 = m*g*h
0.7v^2 = g*h
h = 0.7v^2 / g
- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.
Yes, the student's theory is correct, because the survey shows that the seventh graders spend more time playing games on the weekend than the eighth graders.
Answer:
Option 1 - Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.
Step-by-step explanation:
Given : Process
Step 1: 4x + 2 = 10
Step 2: 4x = 8
To find : Which justification describes the process?
Solution :
From step 1 to step 2, we subtract 2 both sides
Step 1: 4x + 2 = 10
Subtracting 2 both side,
⇒ 4x + 2-2 = 10-2
Step 2: 4x = 8
So, The best justification is 'Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation'.
Therefore, Option 1 is correct.
9514 1404 393
Answer:
779.4 square units
Step-by-step explanation:
You seem to have several problems of this type, so we'll derive a formula for the area of an n-gon of radius r.
One central triangle will have a central angle of α = 360°/n. For example, a hexagon has a central angle of α = 360°/6 = 60°. The area of that central triangle is given by the formula ...
A = (1/2)r²sin(α)
Since there are n such triangles, the area of the n-gon is ...
A = (n/2)r²sin(360°/n)
__
For a hexagon (n=6) with radius 10√3, the area is ...
A = (6/2)(10√3)²sin(360°/6) = 450√3 ≈ 779.4 . . . . square units
Answer:
The Answer is A: 150
Step-by-step explanation:
$29.50 - $19.00 = $10.5
$10.5 / $0.07 = 150 Minutes.
