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:
It is the second answer!
Step-by-step explanation:
Answer:
1.5 mile an hour
Step-by-step explanation:
8 + 3(16-12)
8 + 3(4)
8 + 12
20 is your answer
hope this helps
Answer:
Pretty sure its 7.5 units²
Step-by-step explanation:
5·3=15÷2=7.5
Doing area with triangles is kind of the same as rectangle, just do base × height. But then divide it by two.
For example: base=3, height=7. With rectangles it would be 21 units².
But with triangles it would be 3·7=21 divided by 2, it would be 10.5 units²
