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katrin2010 [14]

2 years ago

3

A 7.0-kg object is acted on by two forces. One of the forces is 10.0 n acting toward the east. Which of the following forces is

the other force if the acceleration of the object is 1.0 m/s2 toward the east?

2 answers:

BartSMP [9]2 years ago

8 0

Answer:

3.0 N acting towards the west

Explanation:

The choices are missing, but we can find the other force by applying Newton's second law:

$\sum F = ma$

where

$\sum F$ is the net force acting on the object

m is the mass of the object

a is the acceleration

Applied to this question, the equation becomes

$F_1 + F_2 = ma$

where

$F_1 = 10.0 N$ is the first force (we choose east as positive direction)

$F_2$ is the unknown force

m = 7.0 kg is the mass of the object

$a=1.0 m/s^2$ is the acceleration (towards the east)

Solving for $F_2$ ,

$F_2 = ma-F_1 = (7.0)(1.0)-10.0=-3.0 N$

And the negative sign means that the direction of this force is west.

notsponge [240]2 years ago

4 0

Magnitude of the other force is 3.0 N.

Direction of the other force is west.

$\texttt{ }$

<h3>Further explanation</h3>

Acceleration is rate of change of velocity.

$\large {\boxed {a = \frac{v - u}{t} } }$

$\large {\boxed {d = \frac{v + u}{2}~t } }$

<em>a = acceleration (m / s²)v = final velocity (m / s)</em>

<em>u = initial velocity (m / s)</em>

<em>t = time taken (s)</em>

<em>d = distance (m)</em>

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

mass of the object = m = 7.0 kg

magnitude of force 1 = F₁ = 10.0 N

acceleration of the object = a = 1.0 m/s²

<u>Unknown:</u>

magnitude of force 2 = F₂ = ?

<u>Solution:</u>

<em>Assume that the positive </em><em>x-axis points East </em><em>and the positive y-axis points North.</em>

<em>We will solve this problem by using </em><em>Newton's Law of Motion</em><em> as follows:</em>

$\Sigma F = ma$

$F_1 + F_2 = ma$

$10.0 + F_2 = 7.0(1.0)$

$10.0 + F_2 = 7$

$F_2 = 7.0 - 10.0$

$F_2 = - 3.0 \texttt{ N}$

$\texttt{ }$

<h3>Conclusion :</h3>

Magnitude of the other force is 3.0 N.

Direction of the other force is west.

$\texttt{ }$

<h3>Learn more</h3>

Velocity of Runner : brainly.com/question/3813437

Kinetic Energy : brainly.com/question/692781

Acceleration : brainly.com/question/2283922

The Speed of Car : brainly.com/question/568302
Average Speed of Plane : brainly.com/question/12826372
Impulse : brainly.com/question/12855855
Gravity : brainly.com/question/1724648

$\texttt{ }$

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Dynamics

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