Physics, 20.07.2019 13:40 artiomtyler007

To practice problem-solving strategy 5.2 dynamics problems. a 30.0-kg box is being pulled across a carpeted floor by a horizontal force of 230 n , against a friction force of 210 n . what is the acceleration of the box

Answers: 1

Show answers

Answers

Answer from: verdolaga2017me

The acceleration of the box on the Carpeted floor is $\fbox{\begin\ 0.67\,{{{\text{ m}}\mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right. \kern-\nulldelimiterspace} {\text{s}}}^2}\\\end{minispace}}$ or $\fbox{\begin\\\dfrac{2}{3}\,{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {{{\text{s}}^{\text{2}}}}}} \right. \kern-\nulldelimiterspace} {{{\text{s}}^{\text{2}}}}}\\\end{minispace}}$ .

Further Explanation:

The friction force acting on the box is the force acting in the direction opposite to the motion of the box and therefore, the friction force opposes the relative motion of the box on the floor.

Given:

The mass of the box is $30.0\,{\text{kg}}$ .

The force applied on the box is $230\,{\text{N}}$ .

The friction force acting on the box is $210\,{\text{N}}$ .

Concept:

The friction force acting on the box during the relative motion of the box on the floor reduces the net force acting on the box. The friction force acting on a body is of opposing nature and it opposes the motion of the body.

The net force acting on the box during motion is:

$\fbox{\begin\\\bf{F_{{\text{net}}}} = F - f\\\end{minispace}}$ …… (I)

Here, ${F_{{\text{net}}}}$ is the net force acting on the box, is the force applied on the box and is the friction force acting on the box during relative motion.

Substitute $230\,{\text{N}}$ for and $210\,{\text{N}}$ for in equation (I).

$\begin{aligned}{F_{{\text{net}}}}&=230\,{\text{N}}-{\text{210}}\,{\text{N}}\\&=2{\text{0}}\,{\text{N}}\\\end{aligned}$

The acceleration of the box on the carpeted floor is due to the net force acting on the box and it is given as the ratio of net force and the mass of the box.

The acceleration of the box is given as:

$\fbox{\begin\\\\\bf\ a =\dfrac{{{F_{{\text{net}}}}}}{m}\\\end{minispace}}$ …… (II)

Here, is the acceleration of the box and is the mass of the box.

Substitute $20\,{\text{N}}$ for ${F_{{\text{net}}}}$ and $30\,{\text{kg}}$ for m in equation (II).

$\begin{aligned} a &= \frac{{20\,{\text{N}}}}{{30\,{\text{kg}}}}\\&= \frac{2}{3}\,{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {{{\text{s}}^{\text{2}}}}}} \right. \kern-\nulldelimiterspace} {{{\text{s}}^{\text{2}}}}} \\&= 0.667\,{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {{{\text{s}}^{\text{2}}}}}} \right. \kern-\nulldelimiterspace} {{{\text{s}}^{\text{2}}}}} \\ \end{aligned}$

Thus, the acceleration of the box on the carpeted floor is $\fbox{\begin\ 0.67\,{{{\text{ m}}\mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right. \kern-\nulldelimiterspace} {\text{s}}}^2}\\\end{minispace}}$ or $\fbox{\begin\\\dfrac{2}{3}\,{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {{{\text{s}}^{\text{2}}}}}} \right. \kern-\nulldelimiterspace} {{{\text{s}}^{\text{2}}}}}\\\end{minispace}}$ .

Learn more:

1. Conservation of energy link

2. A ball falling under the acceleration due to gravity link

3. Translational kinetic energy of a molecule link

Answer Details:

Grade: College

Subject: Physics

Chapter: Kinematics

Keywords:

Friction, acceleration, carpeted floor, force, relative motion, motion, net force, oppose, 2/3 m/s2, 2/3 m/s^2, 0.67 m/s^2, 0.67 m/s2, 2/3, 0.667 m/s^2, 0.667 m/s2.

To practice problem-solving strategy 5.2 dynamics problems. a 30.0-kg box is being pulled across a c

Answer from: Quest

what question you dont ask a question

explanation:

Answer from: Quest

When you go to ask a qustion there will be a picture of a paper clip looking thing and then it will pop up your files and you click on the imajes and then you up load it

Another question on Physics

Physics, 22.06.2019 11:00

How do we measure or think of speed in the united states?

Answers: 1

Answer

Physics, 22.06.2019 17:30

Frequency of electromagnetic waves that a radio station is assigned is called

Answers: 1

Answer

Physics, 22.06.2019 18:30

Daughter element the new element produced along with a decay particle in a nuclear transmutation 2. half-life the substance that decays in a nuclear transmutation 3. parent element the change of one chemical element into another by nuclear decay or radioactive bombardment 4. transmutation the time required for the decay of one-half of the atoms in a sample of radioactive material

Answers: 2

Answer

Physics, 22.06.2019 21:00

Describe how the motion of a spring being pushed forward and backward is similar to the motion of air particles in a sound wave.

Answers: 1

Answer

You know the right answer?

To practice problem-solving strategy 5.2 dynamics problems. a 30.0-kg box is being pulled across a c...

Questions