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.
Rate x time = distance
25 x 35/60 = distance (35/60 is 35 minutes out of an hour- 60 minutes)
25/1 x 7/12 = distance (I put the 25 over 1 and reduced 35/60)
175/12 ≈ 14.58 miles
Notice that the time had to be in a fraction of an hour in order to do this.
Answer:31t 980kg.
Step-by-step explanation: 1 tonne is 1000kg.
so 40 tonnes is 40000kg.
40 t -8 t =32t. Now we have to remove the 20kg, leaving 31t and 980kg.
Answer:
12
i hope im right!! :D
Step-by-step explanation:
