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DiKsa [7]
3 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]3 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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3 years ago
Perpendicular line equation for (0,2); 3y-x=0
d1i1m1o1n [39]
3y-x=0
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7 0
3 years ago
5 1/2 +1 3/10x=13 what does x equal
Advocard [28]

Answer:

x=5\frac{10}{13}

Explanation:

Given the equation

5\frac{1}{2}+1\frac{3}{10}x=13

Step 1: Change all the mixed fraction to improper fractions

\implies\frac{11}{2}+\frac{13x}{10}=13

Step 2: Find the lowest common multiple of the denominators (2 and 10)

The lowest common multiple = 10

Step 3: Multiply all through by 10.

\begin{gathered} \implies\frac{11}{2}\times10+\frac{13x\times10}{10}=13\times10 \\ =55+13x=130 \end{gathered}

Step 4: Apply the subtraction law of equality. (Subtract 55)

\begin{gathered} 55-55+13x=130-55 \\ 13x=75 \end{gathered}

Step 5: Apply the division law of equality. (Divide by 13)

\begin{gathered} \frac{13x}{13}=\frac{75}{13} \\ x=5\frac{10}{13} \end{gathered}
8 0
1 year ago
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tekilochka [14]
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7 0
3 years ago
Rita finds the quotient of 584 divide by 17
Serga [27]

Answer:

Rita's answer in incorrect because the remainder that Rita got which is 23 is greater 17 which is the divisor. 17 can still go in 23 1time to have a remainder of 6. Hence Rita's answer is wrong with 34R6 being the correct answer.

Step-by-step explanation:

Quotient is the required answer if 584 is divided by 17

584 will be the dividend and 17 is the divisor.

To calculate 584/17, 17 will go in 58 3times with 7 as remainder. This remainder 7 will combine with 4 to make 74, 17 will also go in 74 4times with remainder of 6.

The final answer by combining the number of times 17 goes in 584 which is 34 with final remainder of 6. This means that;

584/17 = 34 remainder 6 i.e 34R6

This shows that Rita's answer in incorrect because the remainder that Rita got which is 23 is greater 17 which is the divisor. 17 can still go in 23 1time to have a remainder of 6. Hence Rita's answer is wrong with 34R6 being the correct answer.

5 0
3 years ago
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