the graph shows position versus time for an object moving with the constant acceleration. what is the final velocity of the object at t=10s? assume the initial velocity at the origin is 1 m/s.

3.32 m/s
4.0 m/s
3.0 m/s
3.8 m/s

Answer:

17.6 m/s², 26.2° above x axis

Explanation:

Apply Newton's second law.

Sum of forces in the x direction:

∑Fₓ = ma

40 N + 55.0 N cos 45° = (5.00 kg) aₓ

aₓ = 15.8 m/s²

Sum of forces in the y direction:

∑Fᵧ = ma

55.0 N sin 45° = (5.00 kg) aᵧ

aᵧ = 7.78 m/s²

Use Pythagorean theorem to find the magnitude of the resultant.

a² = aₓ² + aᵧ²

a² = (15.8 m/s²)² + (7.78 m/s²)²

a = 17.6 m/s²

Use trigonometry to find the angle.

tan θ = aᵧ / aₓ

tan θ = (7.78 m/s²) / (15.8 m/s²)

θ = 26.2°

Answer:

vector

Explanation:

The position of a particle is vector

Answer:

speed = 7.9 m/s

Explanation:

speed = total distance / time taken

speed = 300 / 38

speed = 7.89473684 m/s

to the nearest tenth

speed = 7.9 m/s

Answer:

2.11 m/s

Explanation:

Take north to be positive and south to be negative.

Average velocity = displacement / time

v = (82 m + -44 m) / (14 s + 4 s)

v = 2.11 m/s

The velocity is positive, so it is 2.11 m/s north.  The magnitude of the velocity is 2.11 m/s.

Answer:

Case Studies

Explanation:

A case study in psychology is a descriptive research approach used to obtain in-depth information about a person, group, or phenomenon.Case studies use techniques such as personal interviews, direct observation, psychometric tests, and archival records to gather information.

Answer:

The new period will be reduced by 50%

Explanation:

The period of pendulum is given by;

[tex]T= 2\pi\sqrt{\frac{L}{g} }\\\\\frac{T}{2\pi} = \sqrt{\frac{L}{g} }\\\\(\frac{T}{2\pi} )^2 = {\frac{L}{g}}\\\\\frac{T^2}{4\pi ^2} = {\frac{L}{g}}\\\\T^2(\frac{g}{4\pi ^2}) = L\\\\ \frac{g}{4\pi ^2}= \frac{L}{T^2}\\\\\frac{L_1}{T_1^2} = \frac{L_2}{T_2^2}[/tex]

When the length is decreased by 25%, the new length L₂ is given by;

L₂ = 25/100(L₁)

L₂ = 0.25L₁

[tex]\frac{L_1}{T_1^2} = \frac{L_2}{T_2^2}\\\\T_2^2 = \frac{T_1^2L_2}{L_1} \\\\T_N^2 = \frac{T^2(0.25L_1)}{L_1}\\\\ T_N^2 =0.25T^2\\\\T_N = \sqrt{0.25T^2}}\\\\T_N = 0.5 T[/tex]

Thus, the new period will be reduced by 50%

Explanation:

did you upload a picture?

The statement "thermal energy can increase even if the average kinetic energy is constant" is definitely true.

Kinetic energy may be characterized as a type of energy that an object possesses due to its motion. It is defined as the work that is required to accelerate a body of a given mass from rest to its stated velocity. It measures the work an object can do by the virtue of its motion.

The thermal energy will still enhance even if the average kinetic energy remains constant. This is because it is based on the relationship between kinetic energy and thermal energy. Kinetic energy is defined as the energy possessed by an object or body as a result of its motion.

Therefore, the statement "thermal energy can increase even if the average kinetic energy is constant" is definitely true.

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Answer:

Hello your question is incomplete below are missing parts

In this video, a small cart that has a mass of 600 grams rests on a table top. There is a fan on top of the cart, blowing air backwards at a steady rate. A stretched spring is attached to the back of the cart by a string, holding it in place. A scale, marked off in newtons, is positioned next to the spring and a small dot at the end of the spring indicates the magnitude of the spring force. The spring and scale together is called a “dynamometer.” Before the cart is released from the spring, the dynamometer reads approximately 1.9 newtons. The video is recorded at 60 frames per second, resulting in playback motion 2 times slower than normal. A frame counter indicates the current frame. A horizontal distance scale, marked off in centimeters, is also shown on the video. While the cart is at rest, the front edge of the front wheel is at the zero of the scale.

At frame 245, the string that attaches the cart to the spring is cut, releasing the cart, and it begins to roll forward. Using the distance scale, the position of the front edge of the front wheel can be tracked with

time. The following table indicates the position at different frames.

Frame            Position (cm)

245                  0.0

251                   1.9

257                  6.0

263                  13.9

269                  24.6

275                 38.4

281                  55.1

287                 75.0

Answer : 1.9 N

Explanation:

The magnitude of the thrust force before the cart is released can be calculated as :

60 fbs = 1 frame = 1/60 secs

therefore 6 frames = 1 / 10 secs

F fam = F spring = 1.9 N

Note: F thrust = F fam = 1.9 N

Answer:

224.6 N

Explanation:

We can use first the formula to calculate the centripetal acceleration, given by:

[tex]a_c=\frac{v_t^2}{R}[/tex]

where the Vt is the tangential velocity, and R is the radius of the circular motion.

Then, for our case we have:

[tex]a_c=\frac{v_t^2}{R}=\frac{3.5^2}{0.6}\approx 20.42\,\,\frac{m}{s^2}[/tex]

And now we multiply this acceleration by Miguel's mass (11 kg) to obtain the centripetal force acting on him:

[tex]F_c=11 \,*\,20.42\,N = 224.6\,\,N[/tex]

Answer:

225 N

Explanation:

Just answered the question

The answer is OPTION B : 73.7 N

Answer:

B

Explanation:

Explanation:

This problem is on units conversion

given the dimensions

3.12 ft in length,

0.0455 yd in width and

7.87 inches in height

we have to convert to cm first

3.12 ft to cm=

1 ft-------30.48cm

3.12--------x

x=95.09cm

0.0455 yd to cm

0.0455yd ft to cm=

1 yd-------91.44cm

0.0455--------x

x=4.16cm

7.87 in to cm

1 in-------2.54cm

7.87--------x

x=19.98cm

the volume is =95.09cm*4.16cm*19.98cm

volume= 7907.45cm^3

the volume in gallon is

1 cm^3------0.000264172gal

7907.45cm^3-------x

x=7907.45*0.000264172

x=2.088gallons

Explanation:

You can solve for volume using radius or diameter.

Sphere Volume   =   4/3 • π • r³     =     ( π •d³)/6

We're given the diameter so let's use that.

Volume = PI * d^3 / 6

Volume = 3.14159 * 3.0^3 / 6

Volume = 3.14159 * 9 / 2

Volume = 14.137 cubic centimeters

Answer:

V=u+at

=4+4*2.5

=14m/s

Explanation:

Initial velocity =4m/s

acceleration =4m/(second) squared

time =2.5 seconds

v=u+at

v=4+4*2.5

v=14m/s

Answer:

Straight line in the direction of the tangential velocity the ball had at the moment the string broke

Explanation:

After the string breaks, the ball now disconnected from the centripetal force that was exerted via the string, continues its travel in a straight line in the direction of the tangential velocity it had at the moment the string broke.

Answer:

B

Explanation:

just took the test :)

Answer:

2 seconds

Explanation:

The time taken for the movement is 2.81 seconds.

To find the time, the given values are,

Distance = 45 meters

speed = 16 m/s.

Formula of distance,

              Distance = Speed × Time.

As we have to find the time, Formula can be rearranged as,

              Time = Distance / Speed

Substituting the given datas in the formula,

Time = 45 / 16

        = 2.81 seconds.

So, the time taken for the movement is 2.81 seconds.

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Answer:

We use pythagorean theorem

So that

r = √(x² + y²)

r = √(94.8)² + (-149)² )

r =√ 9682.6 + 22201

= 178.6

direction we use

စ = tan^-1(98.4/149)

= tan^-1 (0.6604)°

Answer:

O is an element whilst H2O2 is a compound.

Explanation:

O is an element. You can find it on the periodic table. H2O2 is composed of both H and O. Thus, H2O2 is a compound.

The O is a(n) element and [tex]H_{2} O_{2}[/tex] is a(n) compound.

All facets of a species of atoms with a specific count of protons in its nuclei are referred to as chemical elements, such as the pure substance made exclusively of the that species.

A compound comprises a substance created by the chemical fusion of two or more components.

Therefore, the O is a(n) element and [tex]H_{2} O_{2}[/tex] is a(n) compound.

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Answer:

5.15J

Explanation:

First. 54% of the 7kg refrigerant is liquid

So we find mass of vapour at inlet generator

M1 = ( 1-0.54)*7= 3.2kg

At compressor mass of vapour will be

M2= 0.95*7= 6.7kg

So the Mass of vapour at exit generator is

M2-M1= 3.5kg

So to find heat absorbed by refrigerant in evaporation

Its using

Q= mh

°= 3.5x 1.50×10^5 J/kg

=5.15J

Answer:

[tex]R= \frac{ v_ i\: ^2\:\times sin\:20}{g}[/tex]

Explanation:

Answer:

D. 803 lbs

Explanation:

In order to find the compressive stress on all three blocks we first need to find the normal surface area of each:

Surface Area of 1 Block = 3.5 x 3.5

Surface Area of 1 Block = 12.25

Surface Area of all 3 Blocks = A = 3 x 12.25

Area = 36.75

Now, the stress is given by the following formula:

Stress = Force/Area

Stress = 29500 lbs/36.75

Stress = 802.72 lbs

Hence, the correct option will be:

D. 803 lbs

Answer:

It will take about 1.32 seconds to travel to his location.

Explanation:

Considering the sound travels at 340 m/s, then if a person is at a distance of 450 m m from the bell, we can use the velocity formula to find the answer;

[tex]velocity=\frac{distance}{time} \\340\,\frac{m}{s} =\frac{450\,\,m}{t} \\t=\frac{450}{340} \,s\\t\approx 1.32\,\,s[/tex]

Answer:

b

Explanation:

Answer:

The correct option is A

Explanation:

From the question we are told that

The mass number is [tex]A= 64[/tex]

Generally the mean radius is mathematically evaluated as

[tex]R = R_o A^{\frac{1}{3} }[/tex]

Here [tex]R_o[/tex] is a constant with a value  [tex]R_o =1.2*10^{-15}[/tex]

So  

     [tex]R  =  1.2*10^{-15} *  64^{\frac{1}{3} }[/tex]

      [tex]R  =   4.8 *10^{-15} [/tex]

        [tex]R  =   4.8\ fm [/tex]

The mean radius of a nucleus with the given mass number is 4.8 fm.

Hence, Option A. 4.8 fm is the correct answer.

Given the data in the question;

Mass number of nucleus; [tex]A = 64[/tex]

Mean radius; [tex]R =\ ?[/tex]

The volume of the nucleus is directly proportional to the total number of nucleons.

The radius of a nucleus, R, is approximately:

[tex]R = R_oA^{\frac{1}{3} }[/tex]

Where R is the radius, R₀ is constant for all nuclei ([tex]1.2*10^{-15}m \ or\ 1.2fm[/tex] ) and A is the mass number.

We substitute our values into the equation

[tex]R = 1.2fm\ *\ 64^{\frac{1}{3} }\\\\R = 1.2fm\ *\ 4\\\\R = 4.8 fm[/tex]

The mean radius of a nucleus with the given mass number is 4.8 fm.

Hence, Option A. 4.8 fm is the correct answer.

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Answer:  Heterogenous mixture

Explanation:

A heterogeneous mixture in which the components of the mixture are not evenly mixed or uniform, allowing one to identify the different constituents of each components and enable the mixture to be separated physically.

Examples of heterogeneous mixtures includes

-- sand and nails

---rice and beans

--- water and oil

Another type of mixture is the homogeneous mixture in which all the components are evenly mixed causing that each components cannot be visible with the eye and therefore separated chemically.

Explanation:

Average speed = change in distance / change in time

In other words, the average speed is the slope of the line connecting two points on the graph.

Answer:

charge

Explanation:

7r0I and its etc. ,"!×_/;

Answer:

Control groups let the one who is expermenting compare  the effect of the varibles in the expermental group.

Explanation: