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
tiny-mole [99]
2 years ago
13

A single conservative force acts on a 5.30-kg particle within a system due to its interaction with the rest of the system. The e

quation
Fx = 2x + 4
describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 1.08 m to x = 6.50 m, calculate the following.
(a) the work done by this force on the particle
1 J
(b) the change in the potential energy of the system
2 J
(c) the kinetic energy the particle has at x = 6.50 m if its speed is 3.00 m/s at x = 1.08 m
3 J
Physics
1 answer:
cupoosta [38]2 years ago
8 0

Answer:

Given that

m = 5.3 kg

Fx = 2x + 4

We know that work done by force F given as

w= ∫ F. dx

a)

Given that x=1.08 m to x=6.5 m

Fx = 2x + 4

w= ∫ F. dx

w=\int_{1.08}^{6.5}(2x+4) .dx

w=\left [x^2+4x \right ]_{1.08}^{6.5}

w=(6.5^2-1.08^2)+4(6.5-1.08)\ J

w=62.7 J

b)

We know that potential energy given as

F=-\dfrac{dU}{dx}

∫ dU =  -∫F.dx           ( w= ∫ F. dx)

ΔU= -62.7 J

c)

We know that form work power energy theorem

Net work = Change in kinetic energy

W= KE₂ - KE₁

62.7 =KE₂ - (1/2)x 5.3 x 3²

KE₂ = 86.55 J

This is the kinetic energy at 6.5m

You might be interested in
Francium-223 has a half-life of 22 minutes. A Geiger counter gives a reading of 58 counts per minute (cpm) from a sample of fran
polet [3.4K]

Answer:

29 counts per minute (29 cpm)

Explanation:

The half-life of a radioactive isotope is the time needed for the activity of the sample to halve.The half-life of Francium-223 is exactly 22 minutes: this means that its activity after 22 minutes becomes exactly half of its initial value. Since the initial activity of this sample of francium-223 was 58 cpm, the activity after 22 minutes will be

A=\frac{58 cpm}{2}=29 cpm

8 0
3 years ago
Which of the following is not an air pollutant?
Lelu [443]
Answer: 1. Carbon dioxide is not an air pollutant

Explanation: it can be toxic and or safe
7 0
2 years ago
Read 2 more answers
Think of the last five things you read. Now think of a type of reading you havent done recenty
GarryVolchara [31]

Answer:

1) Half Girlfriend

2) I am Malala

3) Diamond fire

4)I too had a love story

5)Your Dream are Now Mine

Explanation:

I don't have a same pattern to read but mostly of romantic and fiction. I read less autobiographies but when I read I am Malala , it was an inspiring one.My favorite type of reading is romantic types and least favorite is non fiction especially History

6 0
3 years ago
A student drops a ball from the top of a 10-meter tall building. The ball leaves the thrower's hand with a zero speed. What is t
Sergio [31]

Answer:

14 m/s

Explanation:

u = 0, h = 10 m, g = 9.8 m/s^2

Use third equation of motion

v^2 = u^2 + 2 g h

Here, v be the velocity of ball as it just strikes with the ground

v^2 = 0 + 2 x 9.8 x 10

v^2 = 196

v = 14 m/s

7 0
2 years ago
Why are simple everyday actions considered
Oxana [17]
They create energy ……………….
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is not true? A) The energy of the sun comes from nuclear fusion. B) The fuel for nuclear fusion comes fr
    11·1 answer
  • A protostar forms once the nebular cloud condenses and the core begins
    14·2 answers
  • What is the difference between an iris-in and an iris-out? an iris-in begins with a small circle that expands, while an iris-out
    6·1 answer
  • Light traveling through air at 3.00 · 10^8 m/s reaches an unknown medium and slows down to 2.00 · 10^8 m/s. What is the index of
    8·2 answers
  • If a spring requires 20 Newtons to be compressed a distance of 10 centimeters, what is the spring constant in N/m (newton meters
    13·1 answer
  • Question:The mechanical properties of cobalt may be improved by incorporating fine particles of tungsten carbide (WC). Given tha
    7·1 answer
  • The period of a sound wave is 0.002 seconds. The speed of sound is 344 m/s. whats the frequency
    15·1 answer
  • If a water wave completes one cycle in 2 seconds, what is the period of the wave?
    6·2 answers
  • When discussing Newton’s laws of motion, which terms do people most likely use when talking about Newton’s third law of motion?
    11·2 answers
  • Which would help you perform a basketball skill well with<br> speed?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!