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
jok3333 [9.3K]
2 years ago
14

1. A meter rule is found to balance at the 48cm mark. When a body of mass 60g is suspended at the 6cm mark the balance point is

found to be at the 30cm mark. Calculate, i) the mass of the meter rule 11) the distance of the balance point from the zero end, if the body were moved to the 13cm mark. ​
Physics
1 answer:
Naddika [18.5K]2 years ago
6 0

Hi there!

We can use a summation of torques to solve.

Recall the equation for torque:
\large\boxed{\Sigma \tau = rF}

r = distance from fulcrum (balance point)

F = force (in this instance, weight, N)

We can set the fulcrum to be the balance point of 30 cm.

Thus:
Meter ruler:

Center of mass at 48 cm ⇒ 48 - 30 = 18 cm

Object:
At 6cm ⇒ 30 - 6 = 24 cm

For the ruler to be balanced:
\large\boxed{\Sigma \tau_{cc} = \Sigma \tau_{ccw}}

Thus:
M_Rg(18) = 60g(24)\\M_R = \frac{60(24)}{18} = \boxed{80 g}

The mass of the ruler is <u>80 grams.</u>

If the body were moved to 13 cm:
B (balance point) - 13 = distance of object

48 - B = distance from ruler center of mass to balance point

80g(48 - B) = 60g(B - 13)\\\\3840 - 80B = 60B - 780\\\\4620 = 140B\\\boxed{B = 33 cm}

The new balance point would be <u>33cm</u> from the zero end.

You might be interested in
THIS IS MY EXAM HURRY PLS
tangare [24]

Answer:

elements in the same column have the same number of neutrons. elements with similar mass are placed in the same column.

5 0
2 years ago
Read 2 more answers
When an airplane flies from Dallas - Ft. Worth International airport to Los Angeles International airport, the time in the air i
Elanso [62]

Answer:

7.99 or 8 depends where you round.

Explanation:

Distance divided by time so 1246/156=7.98717948718

7 0
3 years ago
You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of -61.0 units. A) Assuming the x co
kvasek [131]

Answer:

A) magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units

B)22.5° (clockwise form -ve X axis)

Explanation:

given vector = V1 = x i - 60 j

magnitude of V1 = 90

x - component can be found out by resultant formula

90^2 = x^2 + (-60)^2

x = 67.08 = 67.1 units (3sf)

FOR THE VECTOR 80 UNITS IN -VE X DIRECTION

The X component is -80-------(1)

The Y component is 0 ---------(2)

<u>For the x- component of new added vector:</u>

(1)----------- x + 67.1 = -80

x = -147.1 = -147.1

<u>For the y- component of new added vector:</u>

<u>(</u>2)---------- y - 61  = 0

y = 61.0 (3sf)

the new added vector is  = -147.1 i + 61 j

magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units

direction = arctan (61 / 147.1)

               = 22.5° (clockwise form -ve X axis)

<u />

4 0
3 years ago
Which of the following diagrams shows the path of deep water currents in the ocean?
Whitepunk [10]
I hope this helps. ^-^

6 0
3 years ago
An important thing to consider when responding to a driver in front of you that stops suddenly is:a. the mental state of the oth
Gre4nikov [31]
The correct answer is option A. i.e. An important thing to consider when responding to a driver in front of you that stops suddenly is: the mental state of the other driver.

Our talk or discussion can disrturb the balance of the driver or he can get distracted. So, we must try not to speak much while the driver is driving because by doing this we are putting the life of ourselves in danger. Any distrcaction of driver can cause accident.
5 0
3 years ago
Other questions:
  • The average adult in the US watches _____ hours of television each week.
    6·2 answers
  • Plz answer i need it rn ASAP ASAP
    8·2 answers
  • Who was the first head of the NASA space program was Sergei Korolov, but the Russians never identified him by name. What did the
    9·1 answer
  • Convert 87°F to Celsius scale?
    15·1 answer
  • The image shows a roller coaster.
    10·1 answer
  • a 2,000-kilogram railroad car moving at 8m/s to the right collides with a 6,000-kilogram railroad car moving at 3m/s to the west
    6·1 answer
  • You decide to visit Santa Claus at the north pole to put in a good word about your splendid behavior throughout the year. While
    11·1 answer
  • HELP AGAIN 10 POINTS
    5·1 answer
  • Ran 300 meter in 40 seconds, what is the speed?
    14·1 answer
  • A large airplane typically has three sets of wheels: one at the front and two farther back, one on each side under the wings. Co
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!