Answer:
f = -5, s = -6
Step-by-step explanation:
F= first number
S= second number
4f - s = -14
f + 3s = -23
3(4f - s = -14)
12f - 3s = -42
+ f + 3s = -23
13f = -65
————
13
f = -5
4f - s = -14
4(-5) - s = -14
-20 - s = -14
+20 +20
-s = 6
———
-1
s = -6
You could put,
19
+ 6
———
25
Then write,
19+6=25
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:
616
Step-by-step explanation:
The equation to find the area of a trapezoid is: A = ½ (b
+b²) h.
b1=43
b2=45
h=14
Plug the variables in and solve.
Answer:
552
Step-by-step explanation:
