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
zepelin [54]
3 years ago
13

An object of mass m travels along the parabola yequalsx squared with a constant speed of 5 ​units/sec. What is the force on the

object due to its acceleration at left parenthesis 2 Superscript 1 divided by 2 Baseline comma 2 right parenthesis​? ​(Remember Newton's​ law, Fequalsma​.)
Physics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Explanation:

The object is moving along the parabola y = x² and is at the point (√2, 2).  Because the object is changing directions, it has a centripetal acceleration towards the center of the circle of curvature.

First, we need to find the radius of curvature.  This is given by the equation:

R = [1 + (y')²]^(³/₂) / |y"|

y' = 2x and y" = 2:

R = [1 + (2x)²]^(³/₂) / |2|

R = (1 + 4x²)^(³/₂) / 2

At x = √2:

R = (1 + 4(√2)²)^(³/₂) / 2

R = (9)^(³/₂) / 2

R = 27 / 2

R = 13.5

So the centripetal force is:

F = m v² / r

F = m (5)² / 13.5

F = 1.85 m

You might be interested in
The attraction will vary directly with the separation between the charges.
Burka [1]
No it won't. It'll vary inversely as the square of the separation.
4 0
3 years ago
What is the solution to the problem expressed to the correct number of significant figures?
oksian1 [2.3K]

Answer:

73.72

Explanation:

For this subtraction problem, the answer or solution is expressed to the least precise of the numbers we are trying to subtract.

The least precise number is the number with the lowest significant numbers:

105.4 - 31.681

105.4  has 4 significant numbers

31.681 has 5 significant numbers

  So;

             105.4  

        -      31.681

        ------------------

                 73.719

          ----------------

The solution is therefore  73.72

7 0
3 years ago
A spring whose spring constant is 260 lbf/in has an initial force of 100 lbf acting on it. Determine the work, in Btu, required
Readme [11.4K]

Answer:

A spring whose spring constant is 200 lbf/in has an initial force of 100 lbf acting on it. Determine the work, in Btu, required to compress it another 1 inch.

Step 1 of 4

The force at any point during the deflection of the spring is given by,

where is the initial force

and x is the deflection as measured from the point where the initial force occurred.

The work required to compress the spring is

Therefore work required to compress the spring is

The work required to compress the spring in Btu is calculated by

Where 1Btu =778

The work required to compress the spring,  

eman Asked on February 19, 2018 in thermal fluid Sciences 4th solutions.

Explanation:

7 0
3 years ago
We place a small pressure sensor at a certain depth in water. with which orientation does the sensor register the greatest press
Dominik [7]
Hydrostatic pressure is independent of directions.

7 0
3 years ago
Metal sphere having an excess of +5 elementary charges has a net electric charge of
Natasha2012 [34]

Answer:

q=+8.01\cdot 10^{-19}\ coulombs

Explanation:

<u>Elementary charge</u>

The elementary charge, denoted by the symbol e is the electric charge carried by a proton or, equivalently, the magnitude of a negative electric charge carried by an electron, which has charge −e.

The value of the elementary charge is a fundamental constant in physics:

\mathbf{e}=1.60217662 \cdot 10^{-19}\ coulombs

If a metal sphere has an excess of +5 elementary charge, then it has a net charge of:

q=5*\mathbf{e}=+5*1.60217662 \cdot 10^{-19}\ coulombs

\boxed{q=+8.01\cdot 10^{-19}\ coulombs}

5 0
3 years ago
Other questions:
  • How much energy does it take to melt a 16.87 g ice cube? ΔHfus = 6.02 kJ/mol How much energy does it take to melt a 16.87 g ice
    9·1 answer
  • Give an example of the follow components of culture in your life and explain the role it plays.
    13·2 answers
  • Two bicycle tires are set rolling with the same initial speed of 4.00 m/s along a long, straight road, and the distance each tra
    10·1 answer
  • Who is the inventor of the thermometer?
    7·1 answer
  • A suspicious-looking man runs as fast as he can along a moving sidewalk from one end to the other, taking 2.50 s. Then security
    7·2 answers
  • The top of a vertical cylinder is sealed with a circular lid. If the cylinder is evacuated, what is the minimum force required t
    8·1 answer
  • A softball has a (positive/negative) acceleration when it is thrown. A soft ball has a (positive/negative) acceleration when it
    15·1 answer
  • Problem (8):
    15·1 answer
  • A 3.35 kg object initially moving in the positive x direction with a velocity of 4.90 m s collides with and sticks to a 1.88 kg
    11·1 answer
  • A car drives at a constant speed of 45km in 20mn. The speed of the car is..?​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!