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
sergiy2304 [10]
3 years ago
11

Two particles move along an x axis. The position of particle 1 is given by x ! 6.00t 2 # 3.00t # 2.00 (in meters and seconds); t

he acceleration of particle 2 is given by a ! "8.00t (in meters per second squared and seconds) and, at t ! 0, its velocity is 20 m/s. When the velocities of the particles match, what is their velocity?
Physics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

15.6m/s

Explanation:

V1=\frac{dx}{dt}=\frac{d}{dt}(6t^{2}+3t+2) because the derivate of the position is the velocity

V1=12t+3

V2=20+\int\limits^_ {} \,-8t because the integral of the acceleration is the velocity

V2=20-4t^{2}

V1=V2 to see when the velocities of particles match

12t+3=20-4t^2

4t^2+12t-17=0 we resolve this with \frac{-b+-(\sqrt{b^{2} -4ac} )}{2a}

and we take the positif root

t=1.05 sec

if we evaluate the velocity (V1 or V2) the result is 15.6m/s

You might be interested in
A manufacturer claims that a carpet will not generate more than 5.8 kV of static electricity What magnitude of charge would have
DiKsa [7]

Answer:

4.4×10⁻⁷ Coulomb

Explanation:

V = Voltage = 5.8 kV

d = Potential distance = 2.8 mm = 0.0028 m

A = Area = 0.3×0.08 = 0.024 m²

ε₀ = permittivity constant in a Vacuum= 8.85×10⁻¹² F/m

\frac{Q}{V}=\frac{A\epsilon_0}{d}\\\Rightarrow \Q=V\frac{A\epsilon_0}{d}\\\Rightarrow Q=5.8\times 10^3\frac{0.024\times 8.85\times 10^{-12}}{0.0028}\\\Rightarrow Q=4.4\times 10^{-7}\ C

Magnitude of charge transferred between a carpet and a shoe is 4.4×10⁻⁷ Coulomb.

6 0
3 years ago
Gravitational energy can be negative?
AlladinOne [14]

answer:

yes

explanation:

At a separation of the surface of Earth (r=6400km) gravity wants pull the test mass closer and closer. ... So the work done by gravity is NEGATIVE. The gravitational potential energy is negative because us trying to do the opposite of what gravity wants needs positive energy.

6 0
3 years ago
Please help me with this for science
finlep [7]

Answer:Force is to the right

Explanation: because the right side has 75N compared to the 25N on the left.

5 0
3 years ago
A cyclist and his bicycle have a combined mass of 88 kg and a combined
SpyIntel [72]

Answer:D

Explanation:

Mark brainly

5 0
3 years ago
Please help urgent i need help easy queston
mihalych1998 [28]
I believe it’s B but i’m not sure
3 0
3 years ago
Other questions:
  • atoms combine in different ways to make up all of the substances you encounter everyday true or false
    9·1 answer
  • What makes silver and gold different by using the terms atom and element
    8·1 answer
  • An element is made up of
    12·2 answers
  • The amplitude of a sound wave determines it's
    10·2 answers
  • In this lab you will use a simulation to explore the process of radioactive decay. You will examine how long it takes for an iso
    7·2 answers
  • A piano tuner is tuning a piano when he discovers that the G above middle C is vibrating with a higher frequency than his G tuni
    5·1 answer
  • De acuerdo a la trayectoria que describe el movimiento de la
    5·1 answer
  • A pinball bangs against a bumper giving the ball a speed of 42cm/s if the ball has a mass of 50.0g what is the ball’s kinetic en
    10·1 answer
  • A dentist's chair with a person in it weighs 1675 N. The output plunger of a hydraulic system starts to lift the chair when the
    10·1 answer
  • a concave lens creates a virtual image at -47.0 cm and a magnification of +1.75. what is the focal length?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!