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
antiseptic1488 [7]
3 years ago
15

A 3.2 kg particle starts from rest at x = 0 and moves under the influence of a single force Fx = 4 + 15.7 x − 1.5 x 2 , where Fx

is in Newtons and x is in meters. Find the work done by this force on the particle as the particle moves from x = 0 m to x = 1.3 m. Answer in units of J.
Physics
1 answer:
garik1379 [7]3 years ago
8 0

Answer:

Explanation:

Work: This can be defined as the product of force and distance. The unit of work is Joules (J). it can be expressed mathematically as

W = F×d

or

W = \int\limits^b_a {Fx} \, dx.................................. Equation 1

Where b = upper limit, a = lower limit, Fx = expression of force.

<em>Given: a = 0 , b = 1.3 m, Fx = 4 + 15.7x - 1.5x²</em>

Substituting these values into equation 1

<em>W = \int\limits^a_b {(4 + 15.7x - 1.5x^{2} )dx} \,</em>

W = ᵇ[4x + 15.7x²/2-1.5x³/3 +C]ₐ

Work = upper limit - lower limit

Work = ᵃ[4x + 15.7x²/2 - 1.5x³/3 +C] - [4x + 15.7x²/2 + 1.5x³/3 +C]ᵇ............... Equation 2

Substituting the values of a and b into equation 2

Work = [4(1.3) + 15.7(1.3)²/2-1.5(1.3)³/3 + C] - [0 +C]

Work = [5.2 + 26.53 -3.29 + C] - C

Work = 28.44 J

Work done by the force = 28.44 J.

You might be interested in
If a carbon atom has 7 neutrons and 6<br> protons, what is its mass number?
geniusboy [140]

Answer:

the answer to the question is 13

7 0
3 years ago
An astronaut on the moon throws a baseball upward. the astronaut is 6ft, 6 in. tall and the initial velocity of the ball is 30 f
Ainat [17]
The equation is garbled and the question is missing.

I found this equation for the same statement:

S = - 2.7t ^2 + 30t + 6.5

And one question is: after how many seconds is the ball 12 feet above the moon's surface?

Given that S is the height of the ball, you just have to replace S with 12 and solve for t.

=> 12 = - 2.7 t^2 + 30t + 6.5

=> 2.7t^2 - 30t - 6.5 + 12 = 0

=> 2.7t^2 - 30t + 5.5 = 0

Now you can use the quadratic equation fo find t:

t = { 30 +/- √ [30^2) - 4(2.7)(5.5)] } / (2*2.7)

=> t = 0.186s and t = 10.925 s

Answer: after 0.186 s the ball is at 12 feet over the surface, and again 10.925 s

5 0
3 years ago
Read 2 more answers
How does air resistance affect forward motion
lord [1]

It creates friction on the forward moving object, causing it to loose momentum, until finally, it stops.

Hope this helps!

8 0
3 years ago
Read 2 more answers
A 0.85 N force exists between a 7.1 * 10 ^ - 6 * C charge 5.4 m away. What is the magnitude of the second charge ? Please show w
katovenus [111]

Answer:

Explanation:

Force between charge is given by the following expression

F = k Q₁ Q₂ / R² , k = 9 x 10⁹ , Q₁ and Q₂ are charges , R is distance between charges .

Putting the given values ,

.85  = 9 x 10⁹ x 7.1 x 10⁻⁶ x Q₂ / 5.4²

Q₂ = .85 x  5.4² / (9 x 10⁹ x 7.1 x 10⁻⁶ )

= .38788  x 10⁻³ C .

= 387.88 x 10⁻⁶ C .

4 0
3 years ago
A force of 265.1 N acts on an object to produce an acceleration of 14.52 m/s^2. What is the mass of the object?
astra-53 [7]

The answer is :


18.26


Hope I helped.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Compare and contrast rutherford's "planetary model" of the atom with our current understanding of an atom's internal structure.
    5·1 answer
  • If a hockey puck slides on a perfectly frictionless surface, it will eventually slow down because of its inertia.
    12·2 answers
  • the scientists tested a hypothesis on running in the rain performed only one controlled experiment that supported their hypothes
    5·1 answer
  • In an out of control ceramics workshop, two clay balls collide in mid air and stick together. the first has mass 3.1 kg and coll
    7·1 answer
  • Recently a local government has observed that the number of people suffering from respiratory diseases has increased. What measu
    6·2 answers
  • Convert an acceleration of 1km/h^2 into cm/8^2?
    8·1 answer
  • Deduce an expression for the gravitational potential
    7·1 answer
  • An object that has momentum must have
    14·1 answer
  • Explain the difference between mass and weight for objects on earth and on the moon
    7·2 answers
  • A student is blowing over a straw 25 cm long, which is closed at one end. If the sound produced has a frequency of 350 Hz, what
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!