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:62.5%
Step-by-step explanation:You do 5/8 and then divide it and you will get a decimal and move the number 0.625 back to the tens which will get you 6.25%
Answer: Second option
Step-by-step explanation:
You need to make the multiplication of the function
and the function
. Then:

You need to apply the Distributive property:

Therefore, the domain will be all the number that make the denominator equal to zero.
Then, make the denominator equal to zero and solve for x:

Therefore, the domain is: All real values of x except 
Answer:
420 + 69 = 489
Step-by-step explanation:
HOPE THIS HELPS
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Answer:
It moves 6 degrees a second that means it moves 60 degrees in 10 seconds.
Step-by-step explanation:
360/60=6
6x10=60.
360 is how many degrees there are in a second and 60 seconds in a minutes.