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DiKsa [7]
2 years ago
10

A ball slides up a frictionless ramp. It is then rolled without slipping and with the same initial velocity up another frictionl

ess ramp (with the same slope angle). In which case does it reach a greater height, and why
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
4 0

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.

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Help please ASAPP pleaseee
vagabundo [1.1K]
I think it’s the first option
6 0
2 years ago
The population of a city is 45,000 and decreases 2% each year. If the trend continues, what will the population be after 15 year
Sloan [31]
The answer is 31,500.
Let's clarify some things :
1% of 45,000 is 450
Maybe you're wondering why , it's actually very simple .
Just move the decimal to the left once if you want to find 10% , move the decimal twice if you want to find 1%.
We now that 1% equals 450. Then 2% equals to....
Well just add another 1% .
450 + 450 or 450 times 2
Which equals 900.
Now we want to find what's the population after 15 years.
900 times 15= 13,500
But that's not the answer ....
That's what is decreasing.
45,000 - 13,500= 31,500
That's why the answer is 31,500.
4 0
3 years ago
How do you do this problem?
zhenek [66]

Answer:

A) g is increasing, and the graph of g is concave up.

Step-by-step explanation:

g'(x) = ∫₀ˣ e^(-t³) dt

Since e^(-t³) is always positive, ∫₀ˣ e^(-t³) dt is positive when x > 0.  So the function is increasing.

Find g"(x) by taking the derivative using second fundamental theorem of calculus:

g"(x) = e^(-x³)

g"(x) is always positive, so the function is always concave up.

5 0
3 years ago
I would appreciate it if someone could help answer this problem:)
miskamm [114]

Answer:

Sum of Interior Angles = 900°

One Interior Angle = 128.57°

Step-by-step explanation:

We know that the figure is a Heptagon (a 7 sided polygon), therefore;

→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;

=> (n - 2) * 180 = Sum of Interior Angles

=> (7 - 2) * 180 = Sum of Interior Angles

=> 5 * 180 = Sum of Interior Angles

=> <u>900° = Sum of Interior Angles</u>

Now that we know the sum of interior angles,

→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.

=> Sum of Interior Angles / n = One Interior Angle

=> 900 / 7 = One Interior Angle

=> <u>128.57° = One Interior Angle</u>

Hope this helps!

7 0
3 years ago
Read 2 more answers
I need help ASAP (get brainliest)
maria [59]

Its B trust me i know

3 0
2 years ago
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