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NeTakaya
3 years ago
11

A solid ball of inertia m rolls without slipping down a ramp that makes an angle θ with the horizontal.

Physics
1 answer:
LekaFEV [45]3 years ago
8 0

Answer:

Part a)

f = \frac{2}{7}mgsin\theta

Part b)

\mu = \frac{2}{7} gtan\theta

Explanation:

Part a)

Force equation on the inclined plane is given as

mgsin\theta - f = ma

now for torque equation of the ball

fR = \frac{2}{5}mR^2 ( \frac{a}{R})

f = \frac{2}{5}ma

now from above two equations

mg sin\theta - \frac{2}{5}ma = ma

mg sin\theta = \frac{7}{5} ma

a = \frac{5}{7} gsin\theta

so frictional force is given as

f = \frac{2}{5}ma

f = \frac{2}{5}m(\frac{5}{7}gsin\theta)

f = \frac{2}{7}mgsin\theta

Part b)

Also we know that in the normal direction of the motion we have

F_n = mgcos\theta

so we have

f = \mu F_n

\frac{2}{7} mg sin\theta = \mu (mg cos\theta)

now we have

\mu = \frac{2}{7} gtan\theta

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Alenkasestr [34]

Answer:

So percentage error will be 2 %

Explanation:

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3 years ago
Can a machine like a lever, produce a greater force than what you put into it? Can it increase the energy that you put into it?
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yes

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A formula for the normal systolic blood pressure for a man age a , measured in mmhg, is given as p=0. 006a2−0. 02a 120. Find the
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The age of a man whose normal blood pressure measures 123 mm of hg

9 years

<h3>What is Quadratic equation ?</h3>

A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = ax^{2} + bx + c, where a, b, and c are numbers and a cannot be 0

P(A) = 0.006 a^{2} - 0.02a + 120

123 = 0.006- 0.02a + 120

0=0.006 a^{2} - 0.02a - 3

you can use the quadratic equation  formula to solve for the man's age.

A = (-b ± (\sqrt{b^{2} - 4*a*c})  ) / (2a)

A = (0.02 ±  \sqrt{(-0.02)^{2} - 4*0.006*(-3)}/ (2*0.006)

A = (0.02 ± \sqrt{0.0076}) / 0.012

A = 9 , -5.67

Age of the man will be 9 years

To learn more about quadratic equation  here

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2 years ago
A man rides up in an elevator at 12 m. He gains 6500 J of gravitational potential energy. what is the man's mass?
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Answer:

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=> 6500J = mass × 9.8m/s^2 × 12m

=>6500J = mass × ( 9.8 × 12 ) × ( m/s^2 × m)

=> 6500 Nm = m × 117.6 × m^2 / s^2

=> 6500/117.6 Ns^2/m = mass [°.° Ns^2/m = kg]

=> 55.272 Kg = mass

Therefore the mass of the body = 55.272 kg ~ <em>6</em><em>0</em><em> </em><em>k</em><em>g</em><em> </em>(Ans)

Hope it helps you

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Answer:

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