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3 years ago

14

A ship is moving with a constant acceleration of 36km/hr2 in a fixed direction speeds up from 12 km/hr to 18km/hr. Find the dist

ance traveled by the ship in this period

1 answer:

Elena L [17]3 years ago

5 0

V square - u square = 2as. here s=distance
here v squared= 18 squared=324
u squared=12 squared=144
324-144=2×36×s
180=72s
hence distance=2.5

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A student builds and calibrates an accelerometer and uses it to determine the speed of her car around a certain unbanked highway

Sunny_sXe [5.5K]

Answer:

a) 9.46M m/s^2

b) 48.83m

c) 68.22m/s

Explanation:

The centripetal force must be equal to the horizontal component (x component) of the gravitational force over the plum bob. Thus, we have

$F_C=F_{xg}=Mgcos\theta=M\frac{v^2}{r}$ ( 1 )

where M is the mass of the car, v its speed, r the radius of the curvature and g the gravity constant.

a) By replacing we obtain:

$F_c=M(9.8m/s^2)(cos15\°)=9.46M\ m/s^2$ ( 2 )

where it is only necessary to put the mass of the car M in (2).

b) By canceling M in (2) and taking apart r we get:

$gcos\theta =\frac{v^2}{r}\\\\r=\frac{v^2}{gcos\theta}=\frac{(21.5m/s)^2}{(9.8m/s^2)cos15\°}=48.83m$

c) If the angle is 7° the speed is given by:

$v=\sqrt{gcos\theta r}=\sqrt{(9.8m/s^2)(cos7\°)(48.83m)}=68.22\frac{m}{s}$

hope this helps!!

6 0

4 years ago

Help please, I don't get it

Sergio [31]

Answers:

a) $\hat F=(0.83,-0.55) N$

b) $\hat D=(-0.44,-0.89) m$

c) $\hat V=(-0.47,0.88) m/s$

Explanation:

A unit vector is a vector whose magnitude (length) is equal to 1. This kind of vector is identified as $\hat v$ and the way to calculate is as follows:

$\hat v=\frac{\vec v}{|v|}$

Where:

$\vec v=(x,y)$ is the vector

$|v|=\sqrt{x^{2}+y^{2}}$ is the magnitude of the vector

Having this information clarified, let's begin with the answers:

a) Force Vector

$\vec F=(9.0 \hat i - 6.0 \hat j) N$

Magnitude of $\vec F$ :

$|F|=\sqrt{(9.0 \hat i)^{2}+(-6.0 \hat j)^{2 }}N=10.81 N$

<u />

<u>Unit vector:</u>

$\hat F=\frac{\vec F}{|F|}$

$\hat F=\frac{(9.0 \hat i - 6.0 \hat j) N}{10.81 N}$

$\hat F=\frac{9.0}{10.81} N-\frac{6.0}{10.81}N$

$\hat F=(0.83,-0.55) N$

b) Displacement Vector

$\vec D=(-4.0 \hat i - 8.0 \hat j) m$

Magnitude of $\vec D$ :

$|D|=\sqrt{(-4.0 \hat i)^{2}+(-8.0 \hat j)^{2 }}m=8.94 m$

<u />

<u>Unit vector:</u>

$\hat D=\frac{\vec D}{|D|}$

$\hat D=\frac{(-4.0 \hat i - 8.0 \hat j) m}{8.94 m}$

$\hat D=\frac{-4.0}{8.94} Nm+\frac{-8.0}{8.94}m$

$\hat D=(-0.44,-0.89) m$

c) Velocity Vector

$\vec V=(-3.50 \hat i + 6.50 \hat j) m/s$

Magnitude of $\vec V$ :

$|V|=\sqrt{(-3.50 \hat i)^{2}+(6.50 \hat j)^{2}}m/s=7.38 m/s$

<u />

<u>Unit vector:</u>

$\hat V=\frac{\vec V}{|V|}$

$\hat V=\frac{(-3.50 \hat i +6.50 \hat j) m/s}{7.38 m/s}$

$\hat V=\frac{-3.50}{7.38} m/s+\frac{6.50}{7.38}m/s$

$\hat V=(-0.47,0.88) m/s$

8 0

4 years ago

A comet fragment of mass 1.96 × 1013 kg is moving at 6.50 × 104 m/s when it crashes into Callisto, a moon of Jupiter. The mass o

Andrej [43]

Answer:

Recoil speed, $1.17\times 10^{-5}\ m/s$

Explanation:

Given that,

Mass of the comet fragment, $m_1=1.96\times 10^{13}\ kg$

Speed of the comet fragment, $v_1=6.5\times 10^4\ m/s$

Mass of Callisto, $m_2=1.08\times 10^{23}\ kg$

The collision is completely inelastic. Assuming for this calculation that Callisto's initial momentum is zero. So,

$m_1v_1=(m_2+m_2)V$

V is recoil speed of Callisto immediately after the collision.

$V=\dfrac{m_1v_1}{(m_2+m_2)}\\\\V=\dfrac{1.96\times 10^{13}\times 6.5\times 10^4}{(1.96\times 10^{13}+1.08\times 10^{23})}\\\\V=1.17\times 10^{-5}\ m/s$

So, the recoil speed of Callisto immediately after the collision is $1.17\times 10^{-5}\ m/s$

6 0

3 years ago

A lab technician needs to clean medical instruments that have been exposed to bacteria. Which electromagnetic wave would be most

matrenka [14]

Ultraviolet waves kill bacteria and germs.

6 0

3 years ago

Read 2 more answers

In a type of chemical reaction called thermal decomposition, heat is added to a substance, which then splits apart to form sever

exis [7]

The answer is a. endothermic.
In endothermic reaction, as the name suggests, the reactants require energy absorption to form and complete the chemical reaction to form products.
And even if you don't know the answer, you can exclude all other answers by scientific logic and you will be left with the correct answer.

Hope this helps.

5 0

3 years ago