1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Norma-Jean [14]
3 years ago
14

Suppose we replace the mass in the video with one that is four times heavier. How far from the free end must we place the pivot

to keep the meter stick in balance?
50 cm (in the middle)
90 cm (10 cm from the weight)
75 cm (25 cm from the weight)
10 cm
25 cm

Physics
1 answer:
Llana [10]3 years ago
3 0

We must place the pivot to keep the meter stick in balance at 90 cm (10 cm from the weight) from the free end.

Answer: Option B

<u>Explanation:</u>

In initial stage, the meter stick’s mass and mass hanged in meter stick at one end are same. Refer figure 1, the mater stick’s weight acts at the stick’s mid-point.

If in case, the meter stick is to be at balanced form, then the acting torques sum would be zero. So,

                  m \times g \times(x)+((m \times g)(x-50 \mathrm{cm}))=0

                  (m \times g \times x)-(50 \times m \times g)+(m \times g \times x)=0

Taking out ‘mg’ as common and we get

                  2 x-50=0

                  2 x=50

                  x=\frac{50}{2}=25 \mathrm{cm}

Hence, the stick should be pivoted at a distance of,

                 x^{\prime}=100 \mathrm{cm}-25 \mathrm{cm}=75 \mathrm{cm}

So, the stick should be pivoted at a distance of 75 cm at the free end

Now, replace mass with another mass. i.e., four times the initial mass (as given)

If in case, the meter stick is to be at balanced form, then the acting torques sum would be zero. So,

                   4 m g(x)+(m g)(x-50 c m)=0

                   4 m g x+m g x-50 m g=0

Taking out ‘mg’ as common and we get

                   5 x=50

                   x=\frac{50}{5}=10 \mathrm{cm}

Hence, the stick should be pivoted at a distance of,

                   x^{\prime}=100 \mathrm{cm}-10 \mathrm{cm}=10 \mathrm{cm}

So, the stick should be pivoted at a distance of 10 cm from the free end.

Therefore, the option B is correct 90 cm (10 cm from the weight).

You might be interested in
Extra water is absorbed from undigested food in the _____.
Nataly_w [17]

Answer: large intestine

Explanation:

mouth grind and moisten food

saliva break down starch into sugar

esophagus transport food from mouth to stomach

stomach churn food, break down food with enzymes

liver add bile to break down fat

pancreas add enzymes to digest protein

gallbladder store bile

small intestine absorb food through villi

large intestine absorb extra water and remove waste from body

5 0
2 years ago
Explain how the loss of a plant, or producer, in an ecosystem can affect a secondary consumer
vova2212 [387]
When plants die they become food for the decomposer for example Lettuce, If all the Lettuce in someones field died the decomposer would get its nutriets and make the soil stronger, so if you plant more Lettuce and it survives the Consumer would get to eat the lettuce. Hope this helped! :)
3 0
3 years ago
Read 2 more answers
a shopper pushes a cart 40.0m south down one aisle and then turns 90.0 degrees and moves 15.0m. He then makes another 90.0 degre
valentinak56 [21]

Answer:

Explanation:

The displacement is the distnce of the shopper from the starting point.

Sum of movement along the vertical = 40-20 = 20m

Movement along the horizontal (x direction) = 15.0m

Displacement will be gotten using the pythagoras theorem.

d = √20²+ 15²

d = √400+225

d = √625

d = 25.0m

Hence the shoppers total displacement is 25.0m

8 0
2 years ago
A person is going to take a trip from town eight to town D to do this they travel 60 KM in .45 hour And then stop in town before
ANEK [815]

Answer:

   v = 72 km / h

Explanation:

The definition of average speed is the distance traveled between the time interval

          v = Δx / Δt

let's find the distance traveled

       x = 60 + 30

       x = 90 km

time spent, all time must be included, travel time and when stopped

       t = 0.45 + 0.15 + 0.5+ 0.15

       t = 1.25 h

we substitute in the initial equation

      v = 90 / 1.25

       v = 72 km / h

in going from one city to the other

4 0
3 years ago
Find the wavelength of radio waves of frequency 200kHz
Gala2k [10]
\lambda = \frac{c}{f}
λ - wavelength, c - the speed of light, f - frequency

f=200 \ kHz= 200 000 \ Hz \\ \\&#10;\lambda=\frac{300 000 \ [\frac{km}{s}]}{200 000 \ [Hz]}=\frac{3}{2}=1.5 \ [km]

The wavelength of these waves is 1.5 km.
3 0
2 years ago
Read 2 more answers
Other questions:
  • The study of alternating electric current requires the solutions of equations of the form i equals Upper I Subscript max Baselin
    13·1 answer
  • A magnet is placed inside a small cube which is placed inside a larger cube which has eight times the volume of the smaller cube
    13·1 answer
  • Since you've determined that the power supply is a 700W dual rail, what does that make the maximum output power?
    6·1 answer
  • Do your relationships tend to have this quality?
    7·2 answers
  • Which of the following statements is a consequence of the equation, E = mc2
    13·1 answer
  • An object moving at a constant velocity will always have a what
    10·2 answers
  • What creates voltage difference in a battery?
    13·1 answer
  • Help, It has multiple answers for this question.
    6·1 answer
  • Can anyone help me with the Wet Lab Guide - Coulomb's Law report? I'm really having trouble with it. I have attached the workshe
    5·1 answer
  • Problema 1. Un Clavadista se lanza desde un trampolín a diferentes alturas 10 m, 3 m, y 1 m, Calcular:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!