Which factor is not a type of spectra?

A mass hangs on the end of a massless rope. The pendulum is held horizontal and released from rest. When the mass reaches the bo

drek231 [11]

Answer:

$T = 37.5 N$

Explanation:

As the pendulum reached to the lowest position then we will have

$T - mg = \frac{mv^2}{L}$

$14.2 - m(9.81) = \frac{m(2.9^2)}{L}$

now when it will reach to the height of the peg then its speed is given as

$v_f^2 - v_i^2 = 2 a d$

so we will have

$v_f^2 - 2.9^2 = 2(-9.81)(\frac{L}{5})$

$v_f^2 = 2.9^2 - 3.924L$

also we know that

$2.9^2 - 0 = 2(9.81)(L)$

$L = 0.43 m$

$m = 0.48 kg$

now we have speed of the pendulum when it reach the same height is given as

$v_f^2 = 2.9^2 - (3.924(0.43)$

$v_f = 2.6 m/s$

Now the tension in the string is given as

$T = \frac{mv_f^2}{\frac{L}{5}}$

$T = \frac{0.48(2.6)^2}{\frac{0.43}{5}}$

$T = 37.5 N$

6 0

3 years ago

Which graph represents the solution set of the system of inequalities?<br><br> {−2x+y≤4y>x+2

Jet001 [13]

Answer:

The fourth graph is the answer

Explanation:

We have inequalities

$-2x+y\leq 4$ $\rightarrow y\leq 2x+4$

$y>x+2$

For the first inequality all points at or below the graph of y are solutions, and for the second inequality all the points above the graph of y are the solutions. So, the solution to these inequalities are points that are above the graph of $y>x+2$ and below the graph of $y\leq 2x+4$ . The shaded region in the fourth graph satisfies these conditions.

<em>Looking at other choices, we see that the first two graphs do not even represent the graphs of our inequalities, and the third graph does represent the inequalities but shades the wrong region. </em>

P.S: the graph of the inequality $y>x+2$ is dashed because $y$ is "greater than" and not "equal to" $x+2$ , so this indicates that the values on the line $y=x+2$ are not included. And the graph of the inequality $y\leq 2x+4$ is a solid line because $y$ is "less than or equal to" $2x+4$ , so we are including the values on the line $y=2x+4$ , and that's why it's solid.

6 0

3 years ago

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A substance is soluble in water. It is added into the water and dissolves. More solute continues being added until it reaches a

Sophie [7]

Answer:

option D

Explanation:

also to add.... there exists a solubility equilibrium between solid solute and the solution.

4 0

3 years ago

What is the Kinetic Energy of a pie with a mass of 5 kg travelling at a velocity of 9m/s towards your face ?

Stolb23 [73]

Answer:

K = 202.5 J

Explanation:

Given that,

Mass of pie is 5 kg

Velocity of pie is 9 m/s

We need to find the kinetic energy of a pie. The kinetic energy of an object is due to its motion. It can be given by the formula as follows :

$K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 5\times (9)^2\\\\K=202.5\ J$

So, the kinetic energy of the pie is 202.5 J.

4 0

3 years ago

A car, starting from the origin, travels

sweet [91]

Answer:

The net displacement of the car is 3 km West

Explanation:

Please see the attached drawing to understand the car's trajectory: First in the East direction for 4 km (indicated by the green arrow that starts at the origin (zero), and stops at position 4 on the right (East).

Then from that position, it moves back towards the West going over its initial path, it goes through the origin and continues for 3 more km completing a moving to the West a total of 7 km. This is indicated in the drawing with an orange trace that end in position 3 to the left (West) of zero.

So, its NET displacement considered from the point of departure (origin at zero) to the final point where the trip ended, is 3 km to the west.

8 0

3 years ago

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