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3 years ago

9

Nick parks his car at Target and walks 150 ft. north to get to the store. On his way back to the car, he walks 50 ft. before pau

sing when he sees a sign for discounted ice cream. What is his distance? What is his displacement?

1 answer:

mr Goodwill [35]3 years ago

7 0

75 steps is what he’s missing

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Is the matching correct?

iragen [17]

Yes thats right :)

have a great day!!!

7 0

3 years ago

A man rides up in an elevator at 12 m. He gains 6500 J of gravitational potential energy. what is the man's mass?

iren2701 [21]

Answer:

We know that potential energy of a body;

= mass(m)× gravitational acceleration(g) × height(h)

Lets find out the mass of the body

P.E. = mgh

=> 6500J = mass × 9.8m/s^2 × 12m

=>6500J = mass × ( 9.8 × 12 ) × ( m/s^2 × m)

=> 6500 Nm = m × 117.6 × m^2 / s^2

=> 6500/117.6 Ns^2/m = mass [°.° Ns^2/m = kg]

=> 55.272 Kg = mass

Therefore the mass of the body = 55.272 kg ~ <em>6</em><em>0</em><em> </em><em>k</em><em>g</em><em> </em>(Ans)

Hope it helps you

6 0

3 years ago

In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0 m, −3.0 m, 2.0 m) due to fo

irinina [24]

Answer:

The torque about the origin is $2.0Nm\hat{i}-8.0Nm\hat{j}-12.0Nm\hat{k}$

Explanation:

Torque $\overrightarrow{\tau}$ is the cross product between force $\overrightarrow{F}$ and vector position $\overrightarrow{r}$ respect a fixed point (in our case the origin):

$\overrightarrow{\tau}=\overrightarrow{r}\times\overrightarrow{F}$

There are multiple ways to calculate a cross product but we're going to use most common method, finding the determinant of the matrix:

$\overrightarrow{r}\times\overrightarrow{F} =-\left[\begin{array}{ccc} \hat{i} & \hat{j} & \hat{k}\\ F1_{x} & F1_{y} & F1_{z}\\ r_{x} & r_{y} & r_{z}\end{array}\right]$

$\overrightarrow{r}\times\overrightarrow{F} =-((F1_{y}r_{z}-F1_{z}r_{y})\hat{i}-(F1_{x}r_{z}-F1_{z}r_{x})\hat{j}+(F1_{x}r_{y}-F1_{y}r_{x})\hat{k})$

$\overrightarrow{r}\times\overrightarrow{F} =-((0(2.0m)-0(-3.0m))\hat{i}-((4.0N)(2.0m)-(0)(0))\hat{j}+((4.0N)(-3.0m)-0(0))\hat{k})$

$\overrightarrow{r}\times\overrightarrow{F}=-2.0Nm\hat{i}+8.0Nm\hat{j}+12.0Nm\hat{k}=\overrightarrow{\tau}$

4 0

3 years ago

One of the fastest recorded pitches major-league baseball, thrown by nolan ryan in 1974, was clocked at 100.8 mi/hr. If a pitch

lawyer [7]

<u>Answer:</u>

The ball fall vertically 2.69 ft by the time it reached home plate 60.0 ft away.

<u>Explanation:</u>

Fastest recorded pitches major-league baseball, thrown by nolan ryan in 1974 = 100.8 mi/hr = 44.8 m/s

The horizontal distance to home plate = 60.0 ft = 18.288 m

We have the horizontal velocity = 44.8 m/s

So time taken = 18.288/44.8 = 0.408 seconds.

The distance traveled by baseball vertically is found out by equation $s=ut+\frac{1}{2} at^2$

Here u =0m/s, a = 9.81 $m/s^2$ and t = 0.408 s

Substituting

$S = 0*0.408+\frac{1}{2} *9.81*0.408^2 = 0.82 m\\ \\S = 0.82 m= 2.69 ft$

So vertical distance traveled = 0.82 m = 2.69 ft

7 0

3 years ago

Read 2 more answers

True or False:A wind is a horizontal movement of air from an area of high pressure to an area of lower pressure.

Taya2010 [7]

Answer:

True

Explanation:

When the air blows from high pressure to an area of low pressure over the surface of the earth it is called wind.

The greater the pressure difference more is the speed of the wind. The instrument used to measure the speed of the wind is called an anemometer.

The winds are named after the direction from which they flow.

Calm winds are the slowest of its kind whereas the gale-winds are the strongest winds.

5 0

3 years ago