A stone of mass 5g is projected with a rubber catapult. if the catapult is stretched through a distance of 7cm by an average force of 70 North, calculate the instantaneous velocity of the stone when released ​

Answers

Answer 1

Explanation:

solution: mass m = 5g = 0.005kg; extension e = 7cm = 0.07m; force f = 70 N; velocity = ?; using: work done in elastic material w = 1/2 fe = 1/2 ke2 = 1/2 mv2 - the kinetic energy of the moving stone. 1/2 fe =...


Related Questions

Which is the correct ranking of the speed of light in a substance from fastest to *
slowest
Diamond, Glass, Water, Helium
Helium, Water, Glass, Diamond
Water, Helium, Diamond, Glass
Sugar, Diamond, Glass, Helium

Answers

Answer:

Helium, Water, Glass, Diamond

Explanation:

light travels slowest though a diamond

If the period of oscillation of a simple pendulum is 4s, find its length. If the velocity of the bob
at the mean position is 40cms−1
, find its amplitude. (take gravity = 9.81ms−2

Answers

Answer:

Explanation:

Because we assume the pendulum is a "mathematical pendulum" (neglecting the moment of inertia of the bob), we can find:

[tex]T=2\pi\sqrt{\frac{L}{g}} \rightarrow 4=2\pi\sqrt{\frac{L}{9.81}} \rightarrow \frac{4}{\pi^{2}}=\frac{L}{9.81} \rightarrow L \approx 3.97 m[/tex]

By using the [tex]y=A\sin(\omega t) \rightarrow v = \frac{dy}{dt}=\omega A \cos\omega t = \omega\sqrt{A^{2}-y^{2}}[/tex]

The mean position is the position when y = 0, so:

[tex]\omega = \frac{2\pi}{T}=\frac{2\pi}{4}=0.5\pi[/tex] rad/s

and [tex]v = \omega A \rightarrow A=\frac{40}{0.5\pi}=\frac{80}{\pi}[/tex] in centimeters (cm).

Problem 19: Oil with a density of 892 kg/m is flowing smoothly through a pipe, as
shown. In the lower portion, the oil is flowing at vi = 1.84 m/s, and the pressure gauge
indicates P, = 237 kPa. In the upper portion of the pipe, oil is flowing at V2 = 3.61 m/s at a
height that is 8.63 m above the lower portion.

Answers

The pressure of the oil with the given properties flowing in the horizontal pipe at the upper portion of the pipe is 157 kPa.

Pressure in the upper portion of the pipe

The pressure in the upper portion of the pipe is calculated by applying Bernoulli's equation,

P₁ + ¹/₂ρv₁² + ρgh₁ = P₂ + ¹/₂ρv₂² + ρgh₂

Given;

P₁  = 237 kPav₁ = 1.84 m/sh₁ = 0v₂ = 3.61 m/sh₂ = 8.63 mρ = 892 kg/m³P₂  = ?

Susbtsitute the given parameters and solve the for the pressure in the upper portion of the pipe.

237,000 + ¹/₂(892)(1.84)² + (892)(9.8)(0) = P₂ + ¹/₂(892)(3.61)² + (892)(9.8)(8.63)

238,509.9776 = P₂ + 81,252.325

P₂ = 238,509.9776 - 81,252.325

P₂ = 157,257.65 Pa

P₂ ≅ 157 kPa

Thus, the pressure of the oil with the given properties flowing in the horizontal pipe at the upper portion of the pipe is 157 kPa.

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If a lever was a meter long and the fulcrum was placed at 50mm, what would the mechanical advantage be?

Please show work if possible

Answers

Answer:

The mechanical advantage would depend on where the load force and the balancing force were placed on the stick

MA = (50 - F) / (L - 50)

Supoose the balancing force was placed at zero and the load at 75 cm

then MA = (50 - 0) / (75 - 50) = 50 / 25 = 2

or the balancing force was applied at 10 cm and the load force was applied at 60 cm then

MA =  (50 - 10) / (60 - 50) = 40 / 10 = 4

Why is gravitational force always towards the center?

Answers

Answer:

i beleave cuz of the Earth is spherical

Explanation:

Because of the definition of gravity, point-mass, and centre of mass, the centre of mass will always be the point at which gravitational forces of the surrounding mass on any opposite sides are exactly equal

1. Zahra oscillates a swing and makes 100 complete cycles in 20 seconds. Find: a. Period (​

Answers

Answer:

Explanation:

Period is : [tex]T=\frac{t}{n}=\frac{20}{100}=0.2[/tex] s

A hanging weight, with a mass of m1 = 0.365 kg, is attached by a string to a block with mass m2 = 0.825 kg as shown in the figure below. The string goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is k = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the string does not stretch and does not slip on the pulley, and that the mass of the string is negligible. Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown.

Answers

The speed of the block after it has moved the given distance away from the initial position is 1.1 m/s.

Angular Speed of the pulley

The angular speed of the pulley after the block m1 fall through a distance, d, is obatined from conservation of energy and it is given as;

K.E = P.E

[tex]\frac{1}{2} mv^2 + \frac{1}{2} I\omega^2 = mgh\\\\\frac{1}{2} m_2v_0^2 + \frac{1}{2} \omega^2(m_1R^2_2 + m_2R_2^2) + \frac{1}{2} \omega^2( \frac{1}{2} MR_1^2 + \frac{1}{2} MR_2^2) = m_1gd- \mu_km_2gd\\\\\frac{1}{2} m_2v_0^2 + \frac{1}{2} \omega^2[R_2^2(m_1 + m_2)+ \frac{1}{2} M(R_1^2 + R_2^2)] = gd(m_1 - \mu_k m_2)\\\\[/tex]

[tex]\frac{1}{2} m_2v_0 + \frac{1}{4} \omega^2[2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)] = gd(m_1 - \mu_k m_2)\\\\2m_2v_0 + \omega^2 [2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)] = 4gd(m_1 - \mu_k m_2)\\\\\omega^2 [2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)] = 4gd(m_1 - \mu_k m_2) - 2m_2v_0^2\\\\\omega^2 = \frac{ 4gd(m_1 - \mu_k m_2) - 2m_2v_0^2}{2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)} \\\\\omega = \sqrt{\frac{ 4gd(m_1 - \mu_k m_2) - 2m_2v_0^2}{2R_2^2(m_1 + m_2) + M(R^2_1 + R^2_2)}} \\\\[/tex]

Substitute the given parameters and solve for the angular speed;

[tex]\omega = \sqrt{\frac{ 4(9.8)(0.7)(0.365 \ - \ 0.25\times 0.825) - 2(0.825)(0.82)^2}{2(0.03)^2(0.365 \ + \ 0.825)\ \ +\ \ 0.35(0.02^2\ + \ 0.03^2)}} \\\\\omega = \sqrt{\frac{3.25}{0.00214\ + \ 0.000455 } } \\\\\omega = 35.39 \ rad/s[/tex]

Linear speed of the block

The linear speed of the block after travelling 0.7 m;

v = ωR₂

v = 35.39 x 0.03

v = 1.1 m/s

Thus, the speed of the block after it has moved the given distance away from the initial position is 1.1 m/s.

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Two cars collide at an intersection. One car has a mass of 1300 kg and is
moving 12 m/s to the north, while the other has a mass of 1400 kg and is
moving 11 m/s to the south. What is their combined momentum?

O A. 31,000 kg m/s south
O B. 200 kg m/s north
O C. 31,000 kg m/s north
O D. 200 kg m/s south

Answers

Answer:B

Explanation:sorry they removed my answer for some reason.

Answer: B

Explanation: Sorry these brainly trolls deleted my first one

The diagram shows a heating curve for water.
Which statement best describes what is happening at
segment W-X?
Heating Curve for Water
O Water is absorbing heat.
O Water is releasing heat.
O Aliquid is changing to a gas.
O A gas is changing to a liquid.
z
110
100
90
x
х
Y
80
Temperature (Cº)
70
60
50
40
w
Heat (J)

Answers

Answer:

a water is heating up

Explanation:

the water's temperature is inceasing

Seamus made an electromagnet from an iron nail, a piece of copper wire with three coils spread out across the nail, and a AAA-
sized battery. His magnet attracts only one paper clip, and he wants to boost the power of his magnet to attract at least four paper
clips. What two things can Seamus do to accomplish his goal?
A)
B
Seamus can add batteries to decrease the voltage, and he can decrease the
space between the wire coils.
Seamus can add batteries to increase the voltage, and he can increase the
space between the wire coils,
Seamus can add batteries to increase the voltage, and he can decrease the
space between the wire coils.
Seamus can add batteries to decrease the voltage, and he can increase the
space between the wire coils
D

Answers

Seamus can add batteries to increase the voltage, and he can decrease the space between the wire coils to accomplish this goal.

What is Attraction?

This is defined as any type of force that causes objects to come together and is possessed by objects such as a magnet.

In order to increase the power of the magnet it is best to increase the voltage and decrease the space of the coils so as to ensure it attracts at least four paper clips which makes option C the most appropriate choice.

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The two basic properties of all matter are ______ and ______.
options for first blank
a. length B. volume
options for second blank
a. density B. mass

Answers

Answer:

volume , mass

Explanation:

the 3 basic properties of a matter is volume, mass and shape.

Explain the use of each part of Vernier callipers?​

Answers

A Vernier caliper has total of four jaws, with two upper jaws used for measuring the internal distances and two lower jaws for measuring the internal distances of objects. The two upper jaws are the smaller jaws of the vernier that are used to measure the internal distances between two parallel sides of an object or an internal diameter.

a person have a kinetic energy = 32, if the mass increase two times and the velocity decrease four times, What would be the kinetic energy?

Answers

ohAnswer:
4
Explanation:
k.e= 1/2 mv²
K.E=1÷4×2
K.E= 1/8
K.E =32/8
K.E=4

Answer:

4 J

Explanation:

Original KE

KE = 1/2mv²⇒ 32 = 1/2mv²

Mass increases x 2

KE ∝ mm x 2 ∝ KE x 232 x 2KE' = 64

Velocity decreases x 4

KE' ∝ v²KE' x (1/4)² ∝ (1/4)²KE' x 1/16 = 64 x 1/16 = 4 J

Which angle is the angle of refraction?

Answers

Explanation:

[tex]\longmapsto\: \red{ hello \: mate}[/tex]

OPTION (C) 3

is the angle of refraction

Answer:

Option C. 3

Explanation:

Refraction is the change in direction of light passing from one medium to another. Angle 1 and 2 are reflection due to the bouncing of light.

A baseball is thrown a distance of 60 meters. What is it’s speed if it takes 1.5 seconds to cover the distance

Answers

Answer:

V = S / d = 60 m / 1.5 sec = 40 m/s

Note 40 m/s = 40 * 3.28 = 131 ft/sec

131 ft/sec =  131 ft/sec / (88 ft/sec / 60 mph) =   89 mi/hr

   

it would have a speed of 40m/s. speed is simply distance over time, so d/t. the distance is 60m and the time is 1.5 seconds. plug it into the d/t equation. then... 60/1.5 is 40. hope this helps!!

A person sitting on a pier observes incoming waves that have a sinusoidal form with a distance of 2.5 m between the crests. If a wave laps against the pier every 5.0 s, what are (a) the frequency and (b) the speed of the wave?
Remember to identity all of your data, write the equation, and show your work. Additionally, be sure you have answered both a and b of this question.

Answers

Answer:The focal length of a lens is determined by the curve of the lens and the material that the lens is made from.

Explanation:

i just took the test

The frequency is 0.25Hz and the speed of the wave is 0.4m/s.

What is frequency and speed of the wave?

Wave frequency is the number of waves that pass a fixed point in a given amount of time. This equation shows how the three factors are related: Speed = Wavelength x Wave Frequency.

To find the frequency and speed of the wave.

λ=1.6m,T=4s

f=1/T

f=1/4s

f=0.25Hz

The frequency of the wave is 0.25Hz

speed=fλ

speed=(0.25×1.6)m/s

speed=0.4m/s.

The speed of the wave is 0.4m/s.

The frequency is 0.25Hz and the speed of the wave is 0.4m/s.

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#SPJ2

how to make sure a snow leopard does not escape?

Answers

build a fence.....................

.
Which of the following is not true about the lymphatic system?
it drains white blood cells away from tissue
it brings nutrients to the tissue
it builds muscle cells
it fights infection

Answers

Answer:

it builds muscle cells

Explanation:

took test

In the figure below (Figure 1), the upper ball is released from rest, collides with the stationary lower ball, and sticks to it. The strings are both 50.0 cm long. The upper ball has a mass of 2.20 kg and it is initially 10.0 cm higher than the lower ball, which has a mass of 2.70 kg. Find the frequency of the motion after the collision. Find the maximum angular displacement of the motion after the collision.

Answers

(a) The frequency of the motion after the collision is 0.71 Hz.

(b) The maximum angular displacement of the motion after the collision is 16.3⁰.

Speed of the 2.2 kg ball when it collides with 2.7 kg ball

The speed of the 2.2 kg ball which was initially 10 cm higher that 2.7 kg ball is calculated as follows;

K.E = P.E

¹/₂mv² = mgh

v² = 2gh

v = √2gh

v = √(2 x 9.8 x 0.1)

v = 1.4 m/s

Final speed of both balls after collision

The final speed of both balls after the collision is determined from the principle of conservation of linear momentum.

Pi = Pf

m₁v₁ + m₂v₂ = vf(m₁ + m₂)

2.2(1.4) + 2.7(0) = vf(2.2 + 2.7)

3.08 = 4.9vf

vf = 3.08/4.9

vf = 0.63 m/s

Maximum displacement of the balls after the collision

P.E = K.E

[tex]mgh_f = \frac{1}{2} mv_f^2\\\\h_f = \frac{v_f^2}{2g} \\\\h_f = \frac{(0.63)^2}{2(9.8)} \\\\h_f = 0.02 \ m[/tex]

Maximum angular displacement

The maximum angular displacement of the balls after the collision is calculated as follows;

[tex]cos \theta = \frac{L - h_f}{L} \\\\cos\theta = \frac{0.5 - 0.02}{0.5} \\\\cos\theta = 0.96\\\\\theta = cos^{-1}(0.96)\\\\\theta = 16.3 \ ^0[/tex]

Frequency of the motion

[tex]f = \frac{1}{2\pi} \sqrt{\frac{g}{L} } \\\\f = \frac{1}{2\pi } \sqrt{\frac{9.8}{0.5} } \\\\f = 0.71 \ Hz[/tex]

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a bag of rocks has a mass of 16.4 kg what is it weight here on the earth

Answers

Answer
160,72N
Explanation
W=mg
=(16.4)(9.8)

how many snow leopards live together in the wild (give a number or tell if they are solitary?)

Answers

Snow leopards are solitary... If you ever see a two or more snow leopards together, consider yourself extremely lucky! Fun fact: There is no term for a group of snow leopards because it is so rare to see them in a group!

Your welcome!

1 If electromagnetic radiation acted like particles in the double-slit experiment, what would be observed?

a The screen would remain dark because no radiation would reach the screen.
b One bright band would appear in the center of the screen.
c A series of light and dark bands would appear on the screen.
d Two bright bands would appear on the screen in line with the slits.

2 Which statement about the interference behavior of electromagnetic radiation seen in the double-slit test experiment is true?

a Waves that make up the radiation collide with each other so that they add together or cancel each other out.
b Particles that make up the radiation collide with each other and scatter randomly.
c Particles that make up the radiation collide with each other so that they add together or cancel each other out.
d Waves that make up the radiation do not interact with each other.

3 Which statement about the observed results of the double-slit experiment is true?

a Waves that are out of phase constructively interfere to create bright bands.
b Waves that are in phase destructively interfere to create bright bands.
c Waves that are out of phase constructively interfere to create bright bands.
d Waves that are in phase constructively interfere to create bright bands.

4 Which statement about the observed results of the double-slit experiment is true?

a Waves that are in phase constructively interfere to form dark bands.
b Waves that are out of phase constructively interfere to form dark bands.
c Waves that are in phase destructively interfere to form dark bands.
d Waves that are out of phase destructively interfere to form dark bands.

5 A scientist decreases the wavelength of the light used in a double-slit experiment and keeps every other aspect the same. What will be true about the new interference pattern seen on the screen compared to the original interference pattern?

a The spacing between the dark fringes will increase.
b The spacing between the bright fringes will increase.
c The spacing between the bright fringes will decrease.
d The spacing between the dark fringes will remain the same.

6 Consider the two-slit interference experiment. Electromagnetic radiation passes through the two slits that are a distance of 0.0170 nm apart. A fourth-order bright fringe forms at an angle of 8.0 degrees relative to the incident beam. What is the wavelength of the light?

a 789 nm
b 420 nm
c 581 nm
d 591 nm

Answers

Answer:

1. Two bright bands would appear on the screen in line with the slits.

2. Waves that make up the radiation collide with each other so that they add together or cancel each other out.

3. Waves that are in phase constructively interfere to create bright bands.

4. Waves that are out of phase destructively interfere to form dark bands.

5. The spacing between the bright fringes will decrease.

6. 581 nm

Explanation:

Calculate the electric field at x = 2 given the electric potential at this point is ϕ=3x3.

Answers

Hi there!

Recall the following relationship:
[tex]E = -\frac{dV}{dx}[/tex]

E = Electric field strength (V/m)
V = Potential Difference (V)

Take the derivative of the given electric potential equation using the power rule:
[tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]

[tex]-\frac{dV}{dx} = -(3 \cdot 3 \cdot x^2) = -9x^2[/tex]

Evaluate at x = 2:
[tex]E(2) = -9(2^2) = \boxed{-36 \frac{V}{m}}[/tex]

**The magnitude of the field strength would simply be 36 V/m.

Two particles each with a charge of 1μC are separated a distance of 0.4 m. A test charge is placed just above them but directly between them. (b) What is the direction of the resultant electric field on the test charge?

Answers

Answer:

Forces on the test (test is positive) charge

Σ Fx = 0       net result of x-compoment charges is zero

Σ Fy = 2 F sin θ      where F is the force due to the distance of the test charge from one of the charges and sin θ  is the component of that force that is perpendicular to the line separating the charges

The direction of the force is perpendicular to the line separating the two given charges

What are the Applications of electronic polarization?

Answers

Answer:

it can be used for communication, industrial application and also for instrumentation application

A Cadillac Escalade has a mass of 2,569.6 kg, if it accelerates at 4.65 m/s^2 what is the net force of the car?

Answers

Answer:

11948.64 Newtons

Explanation:

A car travel from A to B at a speed of 30km per hour the average speed of the car the whole journey is?​

Answers

the formula is Speed=Distance/Time. I can help you if you give me the distance from A to B. Then you would dived that by time to get your speed.

A ball which is dropped from the top of building strikes the ground in 2.6 sec. Assume air resistance can be ignored. The height of the building is
approximately

Answers

height = 45.87 m.
I think
i hope this helps!!!!!

Compare and contrast heat and temperature. Cite examples from the readings to support your comparison. Also cite examples from what you may already know.
(THIS NEEDS TO BE LONG I WILL GIVE 100 POINTS!!!!)

Answers

Answer:

Heat is a form of energy. It is measured in Joules. ... The temperature of an object relates to both the kinetic energy of its particles and the number of particles. Temperature is the average kinetic energy of the particles in a substance.

Explanation:

If a snowboarder’s initial speed is 4 m/s and comes to rest when making it to the upper level. With a slightly greater initial speed of 5 m/s, the snowboarder is moving to the right on the upper level. His final speed in this case is 3 m/s. Suppose this situation is repeated on planet Epsilon, where gravity is less than gravity on earth.

A. Would the height of the hill on Epsilon cause a reduction in speed from 4 m/s to 0 greater than, less than, or equal to the height of the corresponding hill on earth? Explain.

B. Consider the hill on Epsilon discussed in part A. If the initial speed at the bottom of the hill is 5 m/s, will the final speed at the top of the hill be greater than, less than, or equal to 3 m/s? Explain.

Answers

(a) At a corresponding hill on Earth and a lesser gravity on planet Epslion, the height of the hill will cause a reduction in the initial speed of the snowboarder from 4 m/s to a value greater than zero (0).

(b) If the initial speed at the bottom of the hill is 5 m/s, the final speed at the top of the hill be greater than 3 m/s.

Conservation of mechanical energy

The effect of height  and gravity on speed on the given planet Epislon is determined by applying the principle of conservation of mechanical energy as shown below;

ΔK.E = ΔP.E

¹/₂m(v²- u²) = mg(hi - hf)

¹/₂(v²- u²) = g(0 - hf)

v² - u² = -2ghf

v² = u² - 2ghf

where;

v is the final velocity at upper levelu is the initial velocityhf is final heightg is acceleration due to gravity

when u² = 2gh, then v² = 0,

when gravity reduces, u² > 2gh, and v² > 0

Thus, at a corresponding hill on Earth and a lesser gravity on planet Epslion, the height of the hill will cause a reduction in the initial speed of the snowboarder from 4 m/s to a value greater than zero (0).

Final speed

v² = u² - 2ghf

where;

u is the initial speed = 5 m/sg is acceleration due to gravity and its less than 9.8 m/s²v is final speedhf is equal height

Since g on Epislon is less than 9.8 m/s² of Earth;

5² - 2ghf > 3 m/s

Thus, if the initial speed at the bottom of the hill is 5 m/s, the final speed at the top of the hill be greater than 3 m/s.

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