I think it might be a sphere sorry if I got it wrong
The answer is -4. The coefficient of a variable is the numerical value directly in front of the variable.
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:
greatest number of areas that can be created=5
Step-by-step explanation:
given data
Number of pine trees = 45
Number of oak trees = 30
solution
we want area have same number of both trees
so we get here greatest number of area
we find here greatest common factor of 45 and 30
so Prime factorization of 45 and 30 are
45 = 3 × 3 × 5
30 = 2 × 3 × 5
as here GCF = 5
so here greatest number of areas that can be created=5
You take what Mark ran, 46 miles, and you see that Mark ran 31 more miles than Jack, so the equation would be 46-31, which would be 15 miles. So, Jack ran 15 miles.
