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
Cloud [144]
3 years ago
5

The position of an object is given by x = at3 - bt2 + ct,where a = 4.1 m/s3, b = 2.2 m/s2, c = 1.7 m/s, and x and t are in SI un

its. What is the instantaneous acceleration of the object when t = 2.8 s?
Physics
1 answer:
Flauer [41]3 years ago
3 0

Answer:

64.48 m/s^2

Explanation:

The computation of the instantaneous acceleration of the object is as follows:

Given that

x = at3 - bt2 + ct

Now Instantaneous velocity,

v = dx ÷ xt

= 3at2 - 2bt + c

And, Instantaneous acceleration, A is

= dv ÷ dt

= 6at - 2b

Now put the value of a, b and t in the above equation

A = 6 × 4.1 × 2.8 - 2 × 2.2

= 64.48 m/s^2

You might be interested in
Which of these is an appropriate treatment for a deep, bleeding wound?
bija089 [108]

Explanation:

A. Walk the person around

4 0
2 years ago
Read 2 more answers
A bowling ball of mass 5.8 kg moves in a straight line at 4.34 m/s How fast must a Ping-Pong ball of mass 2.214 g move in a stra
lilavasa [31]

Answer: 11369.46 m/s

Explanation:

We have the following data:

m_{1}=5.8 kg is the mass of the bowling ball

V_{1}=4.34 m/s is the velocity of the bowling ball

m_{2}=2.214 g \frac{1 kg}{1000 g}=0.002214 kg is the mass of the ping-pong ball

V_{2} is the velocity of the ping-pong ball

Now, the momentum p_{1} of the bowling ball is:

p_{1}=m_{1}V_{1} (1)

p_{1}=(5.8 kg)(4.34 m/s)  

p_{1}=25.172 kg m/s (2)

And the momentum p_{2} of the ping-pong ball is:

p_{2}=m_{2}V_{2} (3)

If the momentum of the bowling ball is equal to the momentum of the ping-pong ball:

p_{1}=p_{2} (4)

m_{1}V_{1}=m_{2}V_{2} (5)

Isolating V_{2}:

V_{2}=\frac{m_{1}V_{1}}{m_{2}} (6)

V_{2}=\frac{25.172 kg m/s}{0.002214 kg} (7)

Finally:

V_{2}=11369.46 m/s

6 0
3 years ago
An unbalanced force of 20N acts on a 4.0kg mass what is it's acceleration​
tankabanditka [31]

Hi there!

According to Newton's second law:

∑F = m · a, where:

∑F = net force (N = kgm/s²)

m = mass (kg)

a = acceleration (m/s²)

Rearrange to solve for acceleration:

F/m = a

20N / 4.0kg = 5 m/s²

4 0
3 years ago
A particle travels in a circle of radius 76 cm and completes one revolution in 4.5 s. What is the centripetal acceleration of th
Dimas [21]

r = radius of the circle traveled by the particle = 76 cm = 0.76 m

T = time period of revolution for the particle = 4.5 s

w = angular velocity of the particle

angular velocity of the particle is given as

w = 2π/T

inserting the values

w = 2 (3.14)/4.5

w = 1.4 rad/s

a = centripetal acceleration of the particle in the circle

centripetal acceleration is given as

a = r w²

inserting the values

a = (0.76) (1.4)²

a = 1.5 m/s²

3 0
3 years ago
Read 2 more answers
A thin 1.5 mm coating of glycerine has been placed between two microscope slides of width 0.8 cm and length 3.9 cm . Find the fo
Radda [10]

The  force required to pull one of the microscope sliding at a constant speed of 0.28 m/s relative to the other is zero.

<h3>Force required to pull one end at a constant speed</h3>

The force required to pull one of the microscope sliding at a constant speed of 0.28 m/s relative to the other is determined by applying Newton's second law of motion as shown below;

F = ma

where;

  • m is mass
  • a is acceleration

At a constant speed, the acceleration of the object will be zero.

F = m x 0

F = 0

Thus, the  force required to pull one of the microscope sliding at a constant speed of 0.28 m/s relative to the other is zero.

Learn more about constant speed here: brainly.com/question/2681210

3 0
2 years ago
Other questions:
  • A 5.0-C charge is 10m from a -2.0-C charge. The electrostatic force on the positive charge is
    14·2 answers
  • A single slit of width 0.50 mm is illuminated with light of wavelength 500 nm, and a screen is placed 120 cm in front of the sli
    12·1 answer
  • Two elevators begin descending from the same height. Elevator A has descended 4 feet after one second, 9 feet after two seconds,
    10·2 answers
  • The object moves with BLANK from A to B. it BLANK from B to C. it moves with BLANK from C to D.
    6·1 answer
  • A cat weighing 5kg is climbing at the top of a tree and has potential energy at 1176kg. Find the height of the tree
    14·1 answer
  • 3. A 20 kg lawnmower is pushed by its handle, which makes a 40 degree angle with the horizontal. What
    14·1 answer
  • How many times more acidic is solution A with a pH of 3.4 than solution B with a pH of 8.4?
    5·1 answer
  • A machine which has an energy loss of 10% will have efficiency of​
    5·1 answer
  • A+B A=3i+4j-k B=5i+6j+2k​
    7·1 answer
  • Why are water vapor and aerosols important constituents of earth's atmosphere? choose all that apply.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!