Shelley gives her little sister a 5-meter head start in a bike race. The race ends 15 meters east from where Shelley started. If her little sister completes the race in 5 seconds, what is her sister’s average velocity? (Round your answer to the nearest whole number.)

Answer:

[tex] \huge{ \boxed{ \sf{1.74 \: kg}}}[/tex]

☯ Question :

☯ [tex] \underbrace{ \sf{Required \: Answer: }}[/tex]

☥ Given :

☥ To find :

✎ We know :

[tex] \boxed{ \sf{net \: force = mass \: \times \: acceleration}}[/tex]

Substitute all the values and solve for m

➛ [tex] \sf{124.0 = mass \times 71.0}[/tex]

➛ [tex] \sf{71.0 \: mass = 124.0}[/tex]

➛ [tex] \sf{ \frac{71.0 \: mass}{71.0} = \frac{124.0}{71.0}} [/tex]

➛ [tex] \sf{mass = 1.74 \: kg}[/tex]

Hope I helped!

Have a wonderful time ツ

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when a glacier came through the Bronx approximately 240,000 years ago it blocked part of the original path of the Bronx river and subsequently reshaped and modified the path of the river over the past 200 years the rivers course has been altered dramatically by human impact and industry.

have a great day ☺

Explanation:

The force would be net positive.

Answer:

Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s.

Explanation:

Answer:

268N

Explanation:

The upward force acting on the block are the reaction and the hooked table..

The total normal force acting = normal reaction + 24N

Note that the normal reaction is always equal the weight of the table

Hence the normal force acting in the block is 244.0+24 = 268.0N

Answer:

Haha

Explanation:

Answer:

Explanation:

The jet's speed or final velocity can be found by using the formula

where

v is the final velocity

u is the initial velocity

t is the time taken

a is the acceleration

From the question we have

v = 600 + 20(8)

= 600 + 160

We have the final answer as

Hope this helps you

Answer:

Publish her discovery for other scientists to test.

Explanation:

In the context, Dr. Jones, a famous scientist conducted some experiment and has been working hard on it. She recently discovered some new information and facts about gravitation.

Now the best way to communicate and show her new discovery and results on gravity with the other scientist is to publish her findings in a famous science journal so that other scientist can work on it and make some test to find the same results.

By doing this, other scientist can work on her idea and she can tell and communicate her discovery with the other scientist and physicists.  

Answer:

1.5 m/s^2

Explanation:

a = velocity/time

27/18 = 1.5 m/s^2

Answer:

water

Explanation:

water is 1000 kg/m3 while air is 1.225 kg/m3

Answer:

The percentage of the cube that floats = 80%

The percentage of the cube that sinks =20%

Explanation:

Given that the density of the cube material, [tex]\rho= 0.2 kg/l[/tex]

Length of the sides of the cube, [tex]a= 9 cm[/tex]

So, the volume of the cube, [tex]v=a^3=(9cm)^3=729 cm^3[/tex]

As [tex]1000cm^3= 1 l,[/tex]

so the volume of the cube [tex]v= 729/1000 l = 0.729 l.[/tex]

Hence, the mass of the cube, [tex]m=\fho v = 0.2 \times 0.729 = 0.1458 kg[/tex].

The gravitational force acting on the cube in the downward direction,

[tex]F_c= mg[/tex] [g is the acceleration due to gravity]

[tex]\Rightarrow F_g=0.1458g[/tex] Newtons ...(i)

At equilibrium condition, let x cm of the cube sinks in the water.

So, the volume of the water replaces,

[tex]v_w=9\times 9\times x = 81x cm^3.[/tex]

Or, [tex]v_w= 81 x/ 1000 l = 0.081x l[/tex]

The density of the water, [tex]\rho_w= 1 kg/l[/tex]

So, the mass of water replaced,

[tex]m_w= \rho_w v_w = 1\times 0.081x= 0.081x kg.[/tex]

Now, the buoyancy force acting on the cube in the upward direction,

[tex]F_b = m_w \times g[/tex] [ g is the acceleration due to gravity]

[tex]\Rightarrow F_b= 0.081x\times g[/tex] Newtons ...(ii)

At equilibrium condition, the gravitational force acting on the cube in the downward direction is equal to the buoyancy force acting on the cube in the upward direction, so by from equations (i) and (ii), we have,

[tex]F_g= F_b\\\\\Rightarrow 0.1458g = 0.081x\times g \\\\\Rightarrow 0.081x=0.1458 \\\\\Rightarrow x= 0.1458/0.081 = 1.8 cm[/tex].

So, the part of the cube that sinks = 1.8 cm

As the remaining portion of the cube is floating, so the part of the cube that floats [tex]= 9-1.8= 7.2 cm[/tex].

The percentage of the cube that floats

= [tex]\frac {7.2}{9}\times 100 = 80\%[/tex]

The percentage of the cube that sinks

[tex]= \frac {1.8}{9}\times 100 = 20\%[/tex]

Please note that none of the given options are correct.

Answer:

Dry luricants

Despite being in a solid phase they are able to reduce friction

I’m not sure because I’ve shave the learnt about much of this sorry

Answer:

b. A steel paper clip near a magnet

Explanation:

A steel paper clip near a magnet is an object that most likely has magnetic domains because of its inner composition.

A magnetic domain is a part or region within a magnetic substance in which the magnetization is present in a uniform direction.

So we can conclude that a steel paper clip near a magnet is an object that most likely has magnetic domains because of its inner composition.

Learn more about magnet here: https://brainly.com/question/14997726

Answer:

The average acceleration of the cyclist is 5 m/s²

Explanation:

Given;

initial velocity of the cyclist, u = 10 m/s

final velocity of the cyclist, v = 20 m/s

initial time of the cyclist, t₁ = 4 seconds

final time of the cyclist, t₂ = 6 seconds

The average acceleration is given by;

[tex]a = \frac{dv}{dt}\\\\a = \frac{v-u}{t_2-t_1}\\\\a = \frac{20-10}{6-4}\\\\a = 5 \ m/s^2[/tex]

Therefore, the average acceleration of the cyclist is 5 m/s²

Answer:

Height h = 37.8 m

Explanation:

Given :

Velocity of car (v) = 98 km / h

Acceleration of gravity = 9.8 m/s²

Computation:

Acceleration of gravity = 9.8 m/s²

Acceleration of gravity = (98)(1,000 m / 3,600 s)

Acceleration of gravity = 27.22 m/s

By using law of conservation of energy ;

(1/2)mv² = mgh

h = v² / 2g

h = 27.22² / 2(9.8)

Height h = 37.8 m

The height from which the car would have to be  dropped to have the same kinetic energy is 37.81 meters.

Given the following data:

To find the height from which the car would have to be  dropped to have the same kinetic energy:

First of all, we would convert the value of velocity in km/h to m/s.

Conversion:

[tex]98 = \frac{98}{3600} \times 1000 = 27.22 \;m/s[/tex]

Applying the law of conservation of energy:

[tex]P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\gh = \frac{1}{2}v^2\\\\h= \frac{v^2}{2g}[/tex]

Substituting the given parameters into the formula, we have;

[tex]h = \frac{27.22^2}{2\times 9.8} \\\\h=\frac{741.05}{19.6}[/tex]

Height, h = 37.81 meters

Read more: https://brainly.com/question/23153766

Answer:

10 m/s²

Explanation:

Force is the product of mass of an object and its acceleration

The formula is : F= m*a  -----where m is mass and a is acceleration

Use the values given in the equation as;

F= m*a

1000 = 100 * a

1000/100 = a

10 = a

10 m/s² = a

Explanation:

The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable

Answer:

9m/s²

Explanation:

Given parameters:

Initial velocity  = 30m/s

Final velocity  = 0m/s

Distance traveled  = 50m

Unknown:

Deceleration  = ?

Solution:

To solve this problem, we apply the proper motion equation;

          V²   = U²   +  2aS

V is the final velocity

U is the initial velocity

a is the acceleration

S is the distance

  Insert the parameters and solve;

          0²  = 30²  + 2(a)50

          -900  = 100a  

              a = -9m/s²

The negative value indicates deceleration.

The motorcycle decelerates at a rate of 9m/s²

Answer:

answer below

Explanation:

2: net force

3: balanced force

4: unbalnced force

i hope this is right

Answer:

s = t⁴/108+6t+24

v = t³/27 + 6

Explanation:

Given the equation of acceleration expressed as a = kt²

t is in seconds

To get the velocity, we will integrate the acceleration function

a = kt²

Integrate both sides

a = kt²

v = ∫kt² dt

v = k ∫t² dt

v = kt³/3 + C1..... *

s = ∫kt³/3 dt+ ∫C1 dt

s = kt⁴/12+C1t + C2

At t = 0, S= 24

24 = k(0)⁴/12 + C1(0)+ C2

24 = C2

s = kt⁴/12+C1t + 24

If at t = 6 seconds, s = 96m

Substitute;

96 = k6⁴/12+6C1+ 24 .... **

Also at t = 6, v = 18m/s

Substitute into *

v = kt³/3 + C1..

18 = k6³/3 + C1..... ***

Solve ** and *** simultaneously and get k and C1

96 = k6⁴/12+6C1+ 24

k6⁴/12+6C1+ = 72 × 1

k6³/3 + C1 = 18 × 6

---------------------------

k6⁴/12+6C1+ = 72

k6⁴/3 + 6C1 = 108

Subtract

[(6⁴k)-4(6⁴k)]/12 = 72-108

-3(6⁴k)/12 = -36

6⁴k/12 = 12

6⁴k = 144

k = 144/1296

k = 1/9

Substitute k = 1/6 into k6³/3 + C1 = 18 and get C1

1/6(216/3) + C1 = 18

12+ C1= 18

C1 = 18-12

C1 = 6

Write s in terms of t;

s = kt⁴/12+C1t + 24

s = 1/9t⁴/12+6t+24

s = t⁴/108 + 6t + 24

Write v in terms of t;

v = kt³/3 + C1

v = 1/9(t³/3)+6

v = t³/27 + 6

Answer:

snow or rain

Explanation:

i know it has to be some kind of water , but I just don't know which one sadly . hope this helped :) !

Answer:

dust . i did this

Explanation:

Answer:it's 92 my friend

Explanation:

have a great day

Answer:

92

Explanation:

0.4 · 230 = 92

Answer:

The acceleration of Amy's car is 3 m/s²

Explanation:

Given;

mass of Amy's car, m = 2400 kg

force of the car, F = 7200 N

According to Newton's second law of motion, the force of the car is given as;

F = ma

where;

a is the acceleration of the car

Substitute the given parameters and solve for acceleration;

a = F / m

a = (7200) / (2400)

a = 3 m/s²

Therefore, the acceleration of Amy's car is 3 m/s²

Answer:

32kg

Explanation:

Given parameters:

Speed of the dog  = 3.8m/s

Kinetic energy  = 231.04J

Unknown:

Mass of Mr.Plamer's dog = ?

Solution:

Kinetic energy is the energy due to the motion of a body;

Mathematically, it is represented as;

      K.E  = [tex]\frac{1}{2}[/tex] m v²

  m is the mass

  v is the velocity

Insert the parameters and solve;

        231.04  = [tex]\frac{1}{2}[/tex]  x m x 3.8²

        231.04 x 2  = 2 x  [tex]\frac{1}{2}[/tex]  x m x 3.8²

           462.08  = 14.44m

               m  = 32kg

Answer:

16.6N

Explanation:

Given parameters:

Mass of rocket  = 2000g  = 2kg

Acceleration  = 8.3m/s²

Unknown:

Force acting on the rocket  = ?

Solution:

The force acting on a body can be derived from the product of its mass and acceleration;

  Force  = mass x acceleration

Insert the parameters and solve;

  Force  = 2 x 8.3  = 16.6N

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 1000 × 2

We have the final answer as

Hope this helps you