Question

In Problems $67$ through $69$you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

b. Draw a pictorial representation.

c. Finish the solution of the problem

$\frac{1}{2}(2.0kg)(4.0m/s^2)+0+(0.15)(2.0)(9.8m/s^2)(2.0)=0+0+T(2.0m)$

Short answer

a. A toy car is used to move the block with mass is 2.0kg at rest, the velocity of the block on frictional surface of length is 4.0 m/s The coefficient of kinetic friction is 0.15

b. The pictorial presentation is as follow:

c. The tension in the string is$10.9N$

Step-by-step solution

Content Introduction

Inertia is a fundamental feature of all matter, and mass is a quantitative measure of it. A force is a push or pull on an object caused by the interaction of the thing with another object.

Explanation (Part a)

A toy car is used to move the block with

mass is $2.0kg$at rest,

the velocity of the block on frictional surface of length $2.0m$is $4.0m/s$.

The coefficient of kinetic friction is$0.15$

Explanation (Part b)

The pictorial presentation is

Explanation (Part c)

Let T be the tension in string,

We are given,

$\frac{1}{2}(2.0kg)(4.0m/s^2)+0+(0.15)(2.0)(9.8m/s^2)(2.0)=0+0+T(2.0m)$

Solve for T

$$\begin{gathered} T=\frac{16N.m+5.88N.m}{2.0m} \\ T=10.9\hspace{0.17em}N \end{gathered}$$