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mezya [45]
3 years ago
12

I need help with this

Mathematics
1 answer:
34kurt3 years ago
4 0

Answer:

it would be (-8,14)

Step-by-step explanation:

so if you plot it on a graph all ypu would do is flip it over the x axis

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A uniform bar of mass $m$ and length $l$ is suspended on a frictionless hinge. A horizontally launched blob of clay of mass $m$
Irina-Kira [14]

Answer:

conservation of angular momentum ; conservation of energy

Step-by-step explanation:

The complete Question is given as follows:

" A uniform bar of mass (m) and length (L) is suspended on a frictionless hinge. A horizontally launched blob of clay of mass (m) strikes the bottom end of the bar and sticks to it. After that, the bar swings upward. What is the minimum initial speed (v) of the blob of clay that would enable the rod to swing a full circle? Which concepts/laws would be most helpful in solving this problem? Select the best answer from the options below.  "

CHOICES

kinematics of rotational motion; conservation of energy

conservation of momentum ; conservation of energy

conservation of angular momentum ; conservation of momentum

conservation of angular momentum ; conservation of energy

conservation of energy ; Newton's laws

Newton's laws ; conservation of angular momentum

conservation of angular momentum ; kinematics of rotational motion

Newton's laws, kinematics of rotational motion

Solution:

- We will apply the conservation of angular momentum M. Note the linear momentum does not remains conserved as the rod stores some energy as the clay sticks to the rod:

                                       M_i = M_f

- Initially the rod was at rest and clay had velocity of v, then M_i can be written as:

                                       M_i = m*v*L

- The final momentum is the combined effect of clay and rod:

                                       M_f = ( m*L^2 + I_rod )*w

- Where w is the angular speed of the rod after impact. And I_rod is the moment of inertia of rod.

                                      I_rod = mL^2 / 3

                                      M_f = ( m*L^2 + m*L^2 /3 )*w = (4*m*L^2 / 3)*w

- Formulate w in terms of initial velocity v:

                                     m*v*L = (4*m*L^2 / 3)*w

                                      0.75*v / L = w

- The minimum amount of velocity required would be enough to complete half of a circle.

- Apply conservation of Energy principle:

                                     T_i + V_i = T_f + V_f

Where, T is the kinetic energy soon after impact and at top most position.

            Assuming, T_f = 0 , for minimum velocity required to complete on circle.

             T_i = 0.5*I_combined*w^2

Where, I_combined = I_clay + I_rod = 4*m*L^2 / 3

And w = 0.75*v / L:

             T_i = 0.5*[4*m*L^2 / 3]*[0.75*v / L]^2

             T_i = 0.5*[m]*[v^2]

Also, V is the potential energy of the clay plus rod system soon after impact and at top most point.

             V_i = 0 ( Datum )

             V_f = V_rod + V_clay

             V_f = m*g*L + m*g*2L = 3*m*g*L

- Plug in the expressions in the energy balance and we get:

                              0.5*[m]*[v^2] + 0 = 0 + 3*m*g*L

                                      v_min = sqrt ( 6*g*L)

- So the choices used were:

conservation of angular momentum ; conservation of energy

                 

             

6 0
3 years ago
A blouse normally cost $138 but is on sale for 25% what is the cost of the blouse
Eddi Din [679]

Answer:

The cost of blouse after 25% discount is $103.5

Step-by-step explanation:

Cost of Blouse = $138

Sale = 25 %

New cost of Blouse will be:

25% of 138

= 25 / 100 * 138

= 34.5

So, New Cost of Blouse = Original Price - Discount Price

= 138 - 34.5

= $103.5

The cost of blouse after 25% discount is $103.5

7 0
3 years ago
Please answer please will give brainliest
Verizon [17]

could be 17. not sure i´d wait for someone smarter than me to answer.

6 0
3 years ago
X to the 5th power and y to the 6th power over xy to the 2nd power ​
never [62]

\frac{x^5y^6}{(xy)^2}

\frac{x^5y^6}{x^2y^2}

x^{5-2}y^{6-2}

x^3y^4

6 0
3 years ago
What is 12.06 divided by 18?
Montano1993 [528]
The answer to the problem is 0.67
8 0
3 years ago
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