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
frozen [14]
2 years ago
11

Two boxes on opposite ends of a massless board that is 3.0 m long. The board is supported in the middle by a fulcrum. The box on

the left has a mass (m1) of 25 kg, and the box on the right has a mass (m2) of 15kg. How far should the fulcrum be positioned from the left side of the board in order to balance the masses horizontally?
a. 0.38 m
b. 1.1 m
c. 0.60 m
d. 1.9 m
Physics
1 answer:
rosijanka [135]2 years ago
4 0

Answer:

b. 1.1 m

Explanation:

It is given that the total distance between the masses is equal to the length of the board, which is 3 m. Therefore,

s_{1} + s_{2} = 3\ m\\\\s_{2} = 3\ m - s_{1}\ --------- eqn(1)

where,

s₁ = distance of fulcrum from left mass

s₂ = distance of fulcrum from right mass

In order to achieve balance, the torque due to both masses must be equal:

T_{1} = T_{2}\\m_{1}s_{1} = m_{2}s_{2}\\(25\ kg)(s_{1}) = (15\ kg)(s_{2})\\\\\frac{15\ kg}{25\ kg}(s_{2}) = s_{1}\\\\using\ eqn(1):\\(0.6)(3\ m - s_{1}) = s_{1}\\1.8\ m = 1.6\ s_{1}\\s_{1} = \frac{1.8\ m}{1.6}

s₁ = 1.1 m

Hence, the correct option is:

<u>b. 1.1 m</u>

You might be interested in
What should a free-body diagram look like for a skydiver who has opened his parachute and is now slowing down as he falls?
mote1985 [20]
The last choice. Two arrows and the arrow up is shorter than the arrow down. Since the guy is falling and he’s opened his chute, he’s slowing down but he’s still falling meaning the force of gravity is stronger than the air resistance.
8 0
3 years ago
Read 2 more answers
What were the two classifications of motion according to Aristotle?
wel

Answer:

natural motion and violent motion

Explanation:

8 0
3 years ago
What us the difference between accurate data and reproducible data
Nikolay [14]

It's just in the name! Accurate data is helpful, and correct, but reproducible data is all of that, and is able to be given to other people through different sources! At least, that's what my understanding of them are. Hope it helps!

4 0
3 years ago
What are dimensionless quantities??​
bearhunter [10]

Answer:

Characteristic numbers are dimensionless numbers used in fluid dynamics to describe a character of the flow. To compare a real situation with a small-scale model it is necessary to keep the important characteristic numbers the same. Names of these numbers were standardized in ISO 31, part 12.

Explanation:

7 0
2 years ago
If 3.0 newtons are required to lift a carton 12 meters, how much work is done? 0.0 J 4.0 J 15 J 36 J
svlad2 [7]
The answer is actually 36 J.

Hope this helped :)

Brainliest?
7 0
3 years ago
Read 2 more answers
Other questions:
  • Use this technique to find a formula for the intensity I of a sound, in terms of the sound level β and the reference intensity I
    15·1 answer
  • Why do stretching exercises increase flexibility more than cardio exercises?
    11·1 answer
  • If "38 %" of the light passes through this combination of filters, what is the angle between the transmission axes of the filter
    5·1 answer
  • Rick is moving a wheelbarrow full of bricks out to the curb. The bricks in the wheelbarrow weigh more than Rick is able to carry
    12·1 answer
  • How many protons are in this atom if it has a balanced charge? 0 2 4 6
    6·2 answers
  • What is transmitted by EM waves?
    11·1 answer
  • An observer on Earth sees rocket 1 leave Earth and travel toward Planet X at 0.3c. The observer on Earth also sees that Planet X
    8·1 answer
  • A motorcycle has 100,000 J of kinetic energy and is traveling at 20 m/s. Find its mass.
    6·1 answer
  • Hdhehehbebehebehebebbebehe
    10·2 answers
  • (15 Points)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!