How do you find the answer to this

Four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins

Sati [7]

Answer:

$m_2 = 23 kg$

Explanation:

As we know that the tension in two strings are

$T_2 = 111 N$

$T_4 = 222 N$

now we have

$F_{net} = ma$

so we can say

$(m_1 + m_2)a = T_2$

$(12 + m_2)a = 111$

also we have

$(m_1 + m_2 + m_3 + m_4) a = T_4$

$(12 + m_2 + 15 + 20) a = 222$

now divide two equations

$\frac{222}{111} = \frac{47 + m_2}{12 + m_2}$

$2m_2 + 24 = 47 + m_2$

$m_2 = 23 kg$

7 0

4 years ago

A net force of magnitude 36 N gives an object of mass m1 an acceleration of 6.0 m/s^2. The same net force gives m1 and another o

Jet001 [13]

This is a beautiful problem to test whether a student actually understands
Newton's 2nd law of motion . . . Force = (mass) x (acceleration).

That simple law is all you need to solve this problem, but you need to
use it a few times.

m₁ alone:
   Force = (mass) x (acceleration)

   36 N = ( m₁ ) x (6 m/s²)

   m₁ = (36 N) / (6 m/s²)

   m₁ = 6 kilograms .

m₁ and m₂ glued together:
   Force = (mass) x (acceleration)

   36 N = (6 kg + m₂) x (2 m/s²)

   6 kg + m₂ = (36 N) / (2 m/s²) = 18 kilograms

   m₂ = 12 kilograms .

m₂ alone:
   Force = (mass) x (acceleration)

   36 N = (12 kg) x (acceleration)

   Acceleration = (36 N) / (12 kg)

   Acceleration =   3 m/s²

3 0

4 years ago

A light source shines light consisting of two wavelengths, λ1 = 540 nm (green) and λ2 = 450 nm (blue), on two slits separated by

densk [106]

Answer:

The maximun distance is $z_1 = z_2 = 0.0138m$

Explanation:

From the question we are told that

The wavelength are $\lambda _ 1 = 540nm (green) = 540 *10^{-9}m$

$\lambda_2 = 450nm(blue) = 450 *10^{-9}m$

The distance of seperation of the two slit is $d = 0.180mm = 0.180 *10^{-3}m$

The distance from the screen is $D = 1.53m$

Generally the distance of the bright fringe to the center of the screen is mathematically represented as

$z = \frac{m \lambda D}{d}$

Where m is the order of the fringe

For the first wavelength we have

$z_1 = \frac{m_1 (549 *10^{-9} * (1.53))}{0.180*10^{-3}}$

$z_1=0.00459m_1 m$

$z_1= 4.6*10^{-3}m_1 m ----(1)$

For the second wavelength we have

$z_2 = m_2 \frac{450*10^{-9} * 1.53 }{0.180*10^{-3}}$

$z_2 = 0.003825m_2$

$z_2 = 3.825 *10^{-3} m_2 m$ ----(2)

From the question we are told that the two sides coincides with one another so

$zy_1 =z_2$

$4.6*10^{-3}m_1 m = 3.825 *10^{-3} m_2 m$

$\frac{m_1}{m_2} = \frac{3.825 *10^{-3}}{4.6*10^{-3}}$

Hence for this equation to be solved

$m_1 = 3$

and $m_2 = 4$

Substituting this into the equation

$z_1 = z_2 = 3 * 4.6*10^{-3} = 4* 3.825*10^{-3}$

Hence $z_1 = z_2 = 0.0138m$

7 0

3 years ago

What is the acceleration of a 7 kg mass pushed by a 3.5 N force?

defon

Answer:

0.5m/s²

Explanation:

F =m x a

3.5 = 7 x a

a = 3.5 /7

a = 0.5m/s ²

4 0

3 years ago

A rock falls off a 15 meter cliff. How fast is the rock traveling vertically two seconds later?

oksian1 [2.3K]

The acceleration of gravity on Earth is 9.8 m/s². That means that
an object falling under the influence of gravity will move 9.8 m/s
faster than it was moving a second earlier.

Falling from rest, it will be moving 9.8 m/s after the first second,
and 19.6 m/s after the 2nd second.

The height from which it fell doesn't matter.

8 0

3 years ago