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.
Answer:
Step-by-step explanation:
1) isosceles= two sides are congruent
2) 9x-13=4x+2
-4x
5x-13=2
+13
5x=15/5
X=3
Answer is c
That is fractional, it can not be represented as a whole number, though it can be represented as an improper or mixed fraction because it is a rational number.
629/100 or 6+29/100
Answer:
-3b³ - 5b² + 10b
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define Expression</u>
(10b + 7b² - 6b³) - (12b² - 3b³)
<u>Step 2: Simplify</u>
- Distribute negative: 10b + 7b² - 6b³ - 12b² + 3b³
- Combine like terms (b³): -3b³ + 10b + 7b² - 12b²
- Combine like terms (b²): -3b³ - 5b² + 10b
Answer:
Step-by-step explanation:
Graph in the picture represents,
y = qˣ
a). Point of intersection of the curve with the y-axis → (0, 1)
b). Since, this graph passes through (1, 4)
By substituting values in the equation,
4 = q¹
q = 4
c). Value of y when x = 10,
y = 1048576
