Physics
Physics
1st Edition
Walker
ISBN: 9780133256925
Textbook solutions

All Solutions

Page 27: Practice Problems

Exercise 23
Solution 1
Solution 2
Step 1
1 of 2
The known variables are the tortoise’s speed, $v=2.51 frac{text{cm}}{text{s}}$, and the distance it covers, $d=17 text{cm}$. Using the equation $d=vt$, and solving for $t$ yields

$$
begin{align*}
d&=vt\
t&=dfrac{d}{v}\
&=dfrac{17 text{cm}}{2.51 frac{text{cm}}{text{s}}}\
&=quadboxed{6.77 text{s}}\
end{align*}
$$

Result
2 of 2
$$
begin{align*}
boxed{t=6.77 text{s}}\
end{align*}
$$
Step 1
1 of 2
So here we have $d=17$ cm and $v=2.51$ cm/s.

So the time taken is

$$
t=frac{d}{v}=frac{(17 cm)}{(2.51 cm/s)}=6.8 s
$$

Result
2 of 2
6.8 s.
Exercise 24
Step 1
1 of 2
The radius of a circle is $r=12.77 text{m}$ and the area of a circle is given by the formula

$$
begin{align*}
A=r^{2}pi\
end{align*}
$$

Therefore, the area of the circle in question, in meters squared, is

$$
begin{align*}
A&=(12.77 text{m})^{2}pi\
&=quadboxed{512.3 text{m}^{2}}\
end{align*}
$$

Result
2 of 2
$$
begin{align*}
boxed{A=512.3 text{m}^{2}}\
end{align*}
$$
Exercise 25
Solution 1
Solution 2
Step 1
1 of 3
The area of a triangle is given by

$$
begin{align*}
A=dfrac{btimes h}{2}\
end{align*}
$$

where $b$ is base, and $h$ is height.

For a triangular sail boat with a height of $h=4.1 text{m}$ and a base of $b=6.15 text{m}$, the area is

$$
begin{align*}
A&=dfrac{6.15 text{m}times 4.1 text{m}}{2}\
&=quadboxed{13 text{m}^{2}}\
end{align*}
$$

Step 2
2 of 3
The quantity with the least accuracy (the height in this problem) has two significant figures, therefore, the result is given also with two significant figures. In addition, it’s rounded up to 13 because the first digit after the decimal point is greater than 5.
Result
3 of 3
$$
begin{align*}
boxed{A=13 text{m}^{2}}\
end{align*}
$$
Step 1
1 of 2
The area of triangle is

$$
frac{1}{2}(height)(base)
$$

Now we have $height=4.1$ m and $base=6.15$ m. So the area is

$$
frac{1}{2}(4.1 m)(6.15 m)=13 m^2
$$

Result
2 of 2
$$
13 m^2
$$
unlock
Get an explanation on any task
Get unstuck with the help of our AI assistant in seconds
New