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
Greeley [361]
3 years ago
12

A 7.0-kg rock is subject to a variable force given by the equation f(x)=6.0n−(2.0n/m)x+(6.0n/m2)x2 if the rock initially is at r

est at the origin, find its speed when it has moved 9.0 m.
Physics
1 answer:
stealth61 [152]3 years ago
4 0
For Newton's second law, the force is equal to the product between the mass and the acceleration of the rocket:
F=ma
From which we can rewrite the acceleration as
a(x)= \frac{F}{m} =  \frac{1}{m} (6-2x+6x^2)
where m=7.0 kg.

The velocity of the rocket is the derivative of the acceleration:
v(x) =  \frac{1}{m} (-2+12 x)
and if we substitute x=9.0 m, we find the rocket velocity after 9.0 m:
v(9)= \frac{1}{7}(-2+12\cdot 9)=15.1 m/s

You might be interested in
As the mass of an object increases so does its gravitational force. <br> a. True <br> b. False
vichka [17]

Answer:

False

Explanation:

Gravity force is constant.

There some places on Earth that gravity has a variation, but in general, it is the same everywhere.

If you analyze the equation for the weight, which is the action of the gravity to mass, you'll see that W=mg, where m is the mass and g, is gravity.

If you increase the mass, what you are increasing is weight and not gravity.

3 0
3 years ago
What is this?<br> Picture
miss Akunina [59]

Answer:

may be upside down alphabet :"T"

Explanation:

8 0
3 years ago
Read 2 more answers
Calculate the kinetic energy of a 750 kg compact car moving 50 m/s.
k0ka [10]
935,500 joules because when we use the KE formula KE=1/2mv^2;
KE=1/2(750)(50)^2
KE=375(2500)
KE=935,500 Joules
Hope it helps
6 0
3 years ago
After coming down a slope, a 60-kg skier is coasting northward on a level, snowy surface at a constant 15 m&gt;s. Her 5.0-kg cat
Vinil7 [7]

To solve this exercise, it is necessary to apply the concepts of conservation of the moment especially in objects that experience an inelastic colposition.

They are expressed as,

m_1v_1+m_2v_2 = (m_1+m_2)v_f

Where,

m_1= mass of the skier

m_2= mass of the cat

v_1 = initial velocity of skier

v_2 = initial velocity of cat

v_f= final velocity of both

Re-arrange to find V_f we have,

V_f = \frac{m_1v_1+m_2v_2}{(m_1+m_2)}

V_f = \frac{(60)(15)+(5)(-3.8)}{(60+5)}

V_f = 13.55m/s

Once the final velocity is found it is possible to calculate the change in kinetic energy, so

\Delta KE = KE_i-KE_f

\Delta KE = \frac{1}{2}(m_1v_1^2+m_2v^2_2)-\frac{1}{2}(m_1+m_2)v_f^2

\Delta KE = \frac{1}{2}((60)(15)^2+(5)(-3.8)^2)-\frac{1}{2}(60+5)(13.55)^2

\Delta KE = 819.1J

Therefore the amount of kinetic energy converted in to internal energy is 819J

3 0
3 years ago
As a factor of production, how is capital created?
elena-s [515]

It is B. Just did the Quiz on Intro to Business

3 0
3 years ago
Read 2 more answers
Other questions:
  • Why did the magnitude of the doppler shift increase as the velocity of the sound source increased?
    5·2 answers
  • Two ice skaters, with masses of 69 kg and 57 kg , stand facing each other on a 18-m-wide frozen river. The skaters push off agai
    9·1 answer
  • A piece of aluminum has a volume of 4.89 x 10-3 m3. The coefficient of volume expansion for aluminum is = 69 x 10-6(C°)-1. The t
    5·1 answer
  • What is the free-fall acceleration on a planet where the period of a 1.07 m long pendulum is 2.02 s?
    15·1 answer
  • A little help with this one
    7·1 answer
  • You are viewing a read out of an oscilloscope that shows you when different voltages in a circuit maximize. If the period of the
    14·1 answer
  • What part of the atom takes up most of the atoms space?
    10·2 answers
  • A dish is given to you, which contains a blackish-yellow powder. When you move a magnet over it, you are amazed to see black par
    13·1 answer
  • The following equation shows the position of a particle in time t, x=at2i + btj where t is in second and x is in meter. A=2m/s2,
    5·1 answer
  • What is the average translational kinetic energy of nitrogen molecules at 1600 K? A. 1.31x10-20 J. B. 2.31x10-20 J. C. 3.31x10-2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!