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SVETLANKA909090 [29]

2 years ago

9

A crime suspect fled the scene when police officers entered the building. How far could he run in 10 minutes if he can run 5 mil

es per hour?

1 answer:

emmainna [20.7K]2 years ago

3 0

(5 mi/hr) x (1hr/60min) x (10min) = 5 x 10 / 60 = <em>5/6 mile</em>

(5/6 mile) x (1,760 yd/mile) = <em>1,466 and 2/3 yards</em>

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please help me ill do anything! Collecting and Analyzing Data There are two types of observations: qualitative and quantitative.

OverLord2011 [107]

It depends on how you want to format your data table, as you can create as many columns or rows as you wish, but the important thing is, to display your quantitative data suitably and in the most simple manner. The main reason why data tables are even used, is to simplify and represent the data in an easy to interpret and access form. If your data table has two columns, then the left side would likely be the manipulated variable, or also known as the independent, and the right side would be the responding or dependent variable. To determine which is which, just look at your data and see which one is manipulated (changed) in order to make the other one "respond" or react to the changes (responding variable). In your case it seems that you do have two units, therefore two "sets" of data, so make sure you know which is which. Also, when you put it into your data table, ensure that you put your units in the top labeling row, so you won't have to rewrite (m 3) for every row of data. After that, it should be fairly easy to input your data and such into the table.

6 0

2 years ago

An 88.0 kg spacewalking astronaut pushes off a 645 kg satellite, exerting a 110 N force for the 0.450 s it takes him to straight

arlik [135]

Answer:

The astronaut and the satellite are 53.718 m apart.

Explanation:

Given;

mass of spacewalking astronaut, = 88 kg

mass of satellite, = 645 kg

force exerts by the satellite, F = 110N

time for this action, t = 0.45 s

Determine the acceleration of the satellite after the push

F = ma

a = F / m

a = 110 / 645

a = 0.171 m/s²

Determine the final velocity of the satellite;

v = u + at

where;

u is the initial velocity of the satellite = 0

v = 0 + 0.171 x 0.45

v = 0.077 m/s

Determine the displacement of the satellite after 1.4 m

d₁ = vt

d₁ = 0.077 x (1.4 x 60)

d₁ = 6.468 m

According to Newton's third law of motion, action and reaction are equal and opposite;

Determine the backward acceleration of the astronaut after the push;

F = ma

a = F / m

a = 110 / 88

a = 1.25 m/s²

Determine the final velocity of the astronaut

v = u + at

The initial velocity of the astronaut = 0

v = 1.25 x 0.45

v = 0.5625 m/s

Determine the displacement of the astronaut after 1.4 min

d₂ = vt

d₂ = 0.5625 x (1.4 x 60)

d₂ = 47.25 m

Finally, determine the total separation between the astronaut and the satellite;

total separation = d₁ + d₂

total separation = 6.468 m + 47.25 m

total separation = 53.718 m

Therefore, the astronaut and the satellite are 53.718 m apart.

7 0

2 years ago

Two soccer players, Mia and Alice, are running as Alice passes the ball to Mia. Mia is running due north with a speed of 5.30 m/

Tju [1.3M]

Answer:

a) v_{p} = 2.83 m / s , b) 50.5º north east

Explanation:

This is a vector problem.

$v_{bg} = v_{bm} + v_{mg}$

The speed of the ball with respect to the ground is the speed of the ball with respect to Mia plus the speed of Mia with respect to the ground

To make the sum we decompose the speed of the ball in its components

The angle of 30 east of the south, measured from the positive side of the x axis is

θ = 30 + 270 = 300

$v_{bx}$ = $v_{b}$ cos 300

$v_{by}$ = v_{b} sin. 300

v_{bx} = 3.60 cos 300 = 1.8 m / s

v_{by} = 3.60 sin 300 = -3,118 m / s

Let's add speeds on each axis

X axis

vₓ = v_{bx}

vₓ = 1.8 m / s

Y Axis

$v_{y}$ = v1 - vpy

v_{y} = 5.30 - 3.118

v_{y} = 2.182 m / s

The magnitude of the velocity can be found using the Pythagorean theorem

$v_{p}$ = √ (vₓ² + v_{y}²)

v_{p} = √ (1.8² + 2.182²)

v_{p} = 2,829 m / s

v_{p} = 2.83 m / s

b) for direction use trigonometry

tan θ = $v_{y}$ / vₓ

θ = tan ⁺¹ v_{y} / vₓ

θ = tan⁻¹ 2.182 / 1.8

Tea = 50.48º

This address is 50.5º north east

8 0

2 years ago

A camcorder has a power rating of 13 watts. If the output voltage from its battery is 6 volts, what current does it use?

leva [86]

Power = (voltage) x (current)

13 watts = (6 volts) x (current)

Divide each side by (6 volts):

Current = (13 watts) / (6 volts)

Current = (13/6) Amperes

<em>Current = 2.17 Amperes</em>

5 0

3 years ago

A 2.0-kg laptop sits on the horizontal surface of the seat of a car moving at 8.0 m/s. The driver starts slowing down to stop. F

ivanzaharov [21]

Answer: $32.65\ m$

Explanation:

Given

mass of laptop m=2 kg

The velocity of car u=8 m/s

The coefficient of static friction is $\mu_s=0.4$

The coefficient of kinetic friction is $\mu_k=0.2$

As the car is moving, so the coefficient of kinetic friction comes into play

deceleration offered by friction $\mu_kg=0.2\times 9.8\ m/s^2$

Using the equation of motion $v^2-u^2=2as\\$

insert the values

$0^2-8^2=2(-0.2\times 9.8)s\\\\s=\dfrac{64}{1.96}\\\\s=32.65\ m$

4 0

2 years ago