A 1.6-kg ball is attached to the end of a 0.40-m string to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point of its swing, when it is moving horizontally, the ball collides with a 0.80-kg block initially at rest on a horizontal frictionless surface. The speed of the block just after the collision is 3.0 m/s. What is the speed of the ball just after the collision?a. 1.5 m/sb. 1.3 m/sc. 2.1 m/sd. 1.1 m/se. 1.7 m/s

Answers

Answer 1

Answer:

a. 1.5 m/s

Explanation:

We will apply the law of conservation of energy in this situation between the initial position and the lowest point of the swing:

[tex]m_{1}u_{1} + m_{2}u_{2} = m_{1}v_{1} + m_{2}v_{2}\\[/tex]

where,

m₁ = mass of ball = 1.6 kg

m₂= mass of block = 0.8 kg

u₁ = initial speed of ball = 0 m/s

u₂ = initial speed of block = 0 m/s

v₁ = final speed of ball = ?

v₂ = final speed of block = 3 m/s

Therefore,

[tex](1.6\ kg)(0\ m/s)+(0.8\ kg)(0\ m/s)=(1.6\ kg)(v_{1})+(0.8\ kg)(3\ m/s)\\\\v_{1} = \frac{2.4\ N.s}{1.6\ kg}\\[/tex]

v₁ = 1.5 m/s

Therefore, the correct option is:

a. 1.5 m/s


Related Questions

faraday's law states that the potential difference can be increased by... (choose all that apply)

1. using static electricity instead of current electricity

2. increase the number of coils, increase the strength of the magnet
3. using a bunch of small magnets
4. increasing the time used to power up an electromagnet
5. increase the speed of the magnet

Answers

Id say its the last option of the fourth option

Explanation:

Answer:  

1:increase the number of coils, increase the strength of the magnet

2:increase the speed of the magnet

3: increasing the time used to power up an electromagnet

Explanation:

1). Increasing the number of turns of wire in the coil – By increasing the amount of individual conductors cutting through the magnetic field, the amount of induced emf produced will be the sum of all the individual loops of the coil, so if there are 20 turns in the coil there will be 20 times more induced emf than in one piece of wire.

2). Increasing the speed of the relative motion between the coil and the magnet – If the same coil of wire passed through the same magnetic field but its speed or velocity is increased, the wire will cut the lines of flux at a faster rate so more induced emf would be produced.

3). Increasing the strength of the magnetic field – If the same coil of wire is moved at the same speed through a stronger magnetic field, there will be more emf produced because there are more lines of force to cut.

Expository essay "Climate change in Fiji"​

Answers

Answer: Climate change poses to the tourism development in Fiji islands. It shows the adverse effects of the changing climate and the dangers pose by the tourism activities and also pose a major hazard for the local people in the region. It also deals with the dangerous carbon emissions and CO2 effect on the landscape, food, water, energy.

The pacific is the world`s largest ocean with a surface area of 175 million sq km and constitutes for 40% of the planet`s waters. Located in the tropical latitudes, it covers more than half the globe`s circumference. Temperature of the surface water in the western tropical regions is always more than 28 ÌŠC over a depth of several hundred meters. This makes up the world`s storage of thermal energy for exchange with atmosphere. Here the interaction between atmosphere and ocean is most extreme and influences the climate not only regionally but planet-wide. The nations of the pacific are obscured human settlements absorbed in this vast fluid universe. The ocean is the most important factor controlling the environment and life.

(WILL MARK BRAINLIAST)( 1 answer question.. look the photo)

As the cars come closer together, the amount of potential energy in the system:


-Increases

-Decreases

-Stays the same

Answers

Answer:

increases

Explanation:

due to less speed

which of the following characteristics is most useful for flower identification​

Answers

Answer:

basically needing sunlight and water

Explanation:

hope it helps

what causes moon phases, rotation or revolution

Answers

Answer:

The Moon's monthly

cycle of phases

results from the

changing angle of

its illumination by the Sun.

Because its period of

revolution is the same as its

period of rotation, the Moon

always keeps the same face

toward Earth.

a box is slides down a slope

Answers

Answer:

120 N

Explanation:

From the question given above, the following data were obtained:

Angle (θ) = 35°

Mass (m) = 15 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Normal force (N) =?

The normal force acting on the object can be obtained as:

N = mg × Cosθ

N = 15 × 9.8 × Cos 35

N= 147 × 0.8192

N = 120 N

Therefore, the normal force acting on the object is 120 N

A 34kg crate resting on a horizontal surface is pushed as shown. If the coefficient of static friction s between the surfaces is 0.25, what is the minimum force (Fs) required to start the motion?

1


a.
1332.80N

b.
83.30N

c.
8.50N

d.
136.00N
Heeelppp plzz​

Answers

Answer:

D (not so sure, look in the explanation and judge yourself)

Explanation:

Assume that the acceleration due to gravity is 9.81 m/s^2 downwards

Minimum force required = 0.25 x 34 x 9.81

= 83.385 N

So technically the force need to be greater than 83.385 so the answer should be d, not really sure if it should be b though really depends on the acceleration due to gravity.

Air plane travels 224 in 2 hours.
How fast was the plane traveling?

Answers

The airplane is traveling 112 per hour

Answer:

112mph

Explanation:bugyg

Within which type of system is the total energy conserved?

A. Isolated
B. Connected
C. Closed
D. Open

Answers

The total energy is conserved within isolated system.

How is energy conserved in an isolated system?

In an isolated system, there is no exchange of matter or energy with the surroundings. Therefore, the total energy within the system remains constant, meaning that energy is conserved within the system.

In contrast, in an open system, there can be an exchange of both matter and energy with the surroundings, so the total energy within the system is not necessarily conserved.

In a closed system, there can be an exchange of energy but not matter, so the total energy within the system is conserved as long as there is no work being done by or on the system. In a connected system, the term is not commonly used in the context of energy conservation.

Learn about isolated system here https://brainly.com/question/17580023

#SPJ1

What instrument makes the slowest vibration? A drum? A whistle? A flute? Or a harmonica?

Answers

Answer:

A harmonica.

Explanation:

The structure of a harmonica is built in such a way that when the air is blown by the player in it, the air moves within the rectangular structure and making sound vibrations. Sound is heard when an object vibrates. The movement of this vibration creates sound waves, and these waves enter our ears in the form of music.

Therefore, the instrument that will make the slowest vibration among the given instrument will be the harmonica. Thus option D is correct.


A cricketer lowers his hand while catching balls. Why?

Answers

Answer:

While catching a ball, a cricket player lowers his hands, because by doing so, he increases the time of catch. That is, the person increases the time to bring about a given change in momentum, and hence rate of change of momentum decreases. Thus, a small force is exerted by ball on the hands.

Explanation:

:)

Answer:

it is your answer....... if it is helpful plzz like and comment

A person holds a 0.300 kg pomegranate at the top of a tower that is 96m high. Another person holds a 0.800 kg melon next to an open window 32m up the tower

Answers

Complete question:

A person holds a 0.300 kg pomegranate at the top of a tower that is 96m high. Another person holds a 0.800 kg melon next to an open window 32m up the tower.

Calculate the gravitational potential energy of the pomegranate and melon.

Answer:

The gravitational potential energy of  pomegranate is 282.24 J

The gravitational potential energy of  melon is 250.88 J

Explanation:

Given;

mass of the  pomegranate, m₁ = 0.3 kg

height of the  pomegranate, h₁ = 96 m

mass of the melon, m₂ = 0.8 kg

height of the melon, h₂ = 32 m

The gravitational potential energy of  pomegranate is calculated as;

P.E₁ = m₁gh₁

P.E₁ = 0.3 x 9.8 x 96

P.E₁ = 282.24 J

The gravitational potential energy of  melon is calculated as;

P.E₂ = m₂gh₂

P.E₂ = 0.8 x 9.8 x 32

P.E₂ = 250.88 J

the one that answered this is correct so give him credit not me

Answer:

Complete question:

A person holds a 0.300 kg pomegranate at the top of a tower that is 96m high. Another person holds a 0.800 kg melon next to an open window 32m up the tower.

Calculate the gravitational potential energy of the pomegranate and melon.

The gravitational potential energy of  pomegranate is 282.24 J

The gravitational potential energy of  melon is 250.88 J

Given;

mass of the  pomegranate, m₁ = 0.3 kg

height of the  pomegranate, h₁ = 96 m

mass of the melon, m₂ = 0.8 kg

height of the melon, h₂ = 32 m

The gravitational potential energy of  pomegranate is calculated as;

P.E₁ = m₁gh₁

P.E₁ = 0.3 x 9.8 x 96

P.E₁ = 282.24 J

The gravitational potential energy of  melon is calculated as;

P.E₂ = m₂gh₂

P.E₂ = 0.8 x 9.8 x 32

P.E₂ = 250.88 J

the one that answered this is correct so give him credit not me

I need help with science:

Question 1: Chlorophyll makes some plants look yellow.

True
False
_________________________

Question 2:

Protozoa are a type of unicellular organisms.

True
False
__________________________________
Question 3:

Nerve cells carry oxygen to the body.

True
False
______________________________________

Question 4:

The__ is the basic unit of all living things.

Options:

nucleus
cell
___________________________

if you answer these all right:
( if u want brainlist's answer this question then ask another random question on your page so u can give me brainlist back, also i need to people to answer so i can chose one of you guys to give the brainlist's to, deal or no?)

no links and ill give good points so u better not steal them or ill report...

Answers

I pretty sure number 3 is false

A student sets up a standing wave of wavelength 6 meters in a coiled spring by moving his hand up and down twice each second. What is the velocity of the wave?

Answers

Answer:

Velocity = 12 m/s

Explanation:

Given the following data;

Wavelength = 6 meters

Period = 0.5 seconds. This is due to the fact that the student is moving his hand up and down twice each second.

To find the velocity;

Velocity = wavelength * frequency

But, frequency = 1/period

Frequency = 1/0.5

Frequency = 2

Substituting the values into the velocity formula, we have;

Velocity = 6 * 2

Velocity = 12 m/s

Therefore, the velocity of the wave is 12 meters per seconds.

When you measure the mass of an object you are also measuring its what

Answers

Here ya go-!

Mass is both a property of a physical body and a measure of its resistance to acceleration (a change in its state of motion) when a net force is applied. An object's mass also determines the strength of its gravitational attraction to other bodies. The basic SI unit of mass is the kilogram (kg).

(um im sorry if its wrong-)

Look at the circuit diagram. What does the diagram show?

Answers

Answer:

the second one i gues

Explanation:

the stripes tells about the batery input/ the x is the lightbulbs/ and two switches

Two bicycle tires are set rolling with the same initial speed of 4.0 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes a distance of 18.2 m; the other is at 105 psi and goes a distance of 92.6 m. Assume that the net horizontal force is due to rolling friction only and take the free-fall acceleration to be g = 9.80 m/s2. What is the coefficient of rolling friction μr for the tire under low pressure?

Answers

Answer:

The coefficient of rolling friction will be "0.011".

Explanation:

The given values are:

Initial speed,

[tex]v_i = 4.0 \ m/s[/tex]

then,

[tex]v_f=\frac{4.0}{2}[/tex]

    [tex]=2.0 \ m/s[/tex]

Distance,

s = 18.2 m

The acceleration of a bicycle will be:

⇒ [tex]a=\frac{v_f^2-v_i^2}{2s}[/tex]

On substituting the given values, we get

⇒    [tex]=\frac{(2.0)^2-(4.0)^2}{2\times 18.2}[/tex]

⇒    [tex]=\frac{4-8}{37}[/tex]

⇒    [tex]=\frac{-4}{37}[/tex]

⇒    [tex]=0.108 \ m/s^2[/tex]

As we know,

⇒  [tex]f=ma[/tex]

and,

⇒  [tex]\mu_rmg=ma[/tex]

⇒       [tex]\mu_r=\frac{a}{g}[/tex]

On substituting the values, we get

⇒       [tex]=\frac{0.108}{9.8}[/tex]

⇒       [tex]=0.011[/tex]

g A 4 lb weight stretches a spring 2 ft in equilibrium. It is attached to a damping mechanism with constant c. (a) Find the value of c for which the motion is critically damped. (b) If the motion is critically damped, find the displacement y(t) when the spring is initially displaced 6 inches above equilibrium and given a downward velocity of 3 ft/sec.

Answers

Solution :

Given :

Weight = 4 lb

Stretched of a spring in  equilibrium,Δ = 2 ft

a). We know that

F = kΔ

4 = k x 2

k = 2 lb/ft

∴ Stiffness of the spring is, k = 2 lb/ft

Motion is critically damped.

[tex]$\epsilon = 1$[/tex]

[tex]$\epsilon=\frac{C}{C_c} = 1$[/tex]

[tex]$C=C_c[/tex]

[tex]$C=C_c=\sqrt{4k_m}[/tex]

[tex]$C=\sqrt{4 \times 2 \times \left(\frac{4}{32.174}\right)}[/tex]

C = 0.99729 lb.s/ft.

b). Displacement

   [tex]$y(t)=y_0 \sin (\omega t)$[/tex]

[tex]$\dot{y}(t)= y_0 \omega \cos (\omega t)$[/tex]

[tex]$[\dot{y}(t)]_{mon}= y_0 \omega $[/tex]

Initial displacement = 6 inches

    [tex]$y_0 = 0.5 \ ft , \ \ \ \dot y (t) = 3 \ ft/sec$[/tex]

  [tex]$\Rightarrow 3=0.5 \times \omega$[/tex]

 [tex]$\Rightarrow \omega = 6$[/tex]

Therefore, displacement :

    [tex]$y(t)=y_0 \sin (\omega t)$[/tex]

   [tex]$y(t)=0.5 \sin (6 t)$[/tex]

We can model a pine tree in the forest as having a compact canopy at the top of a relatively bare trunk. Wind blowing on the top of the tree exerts a horizontal force, and thus a torque that can topple the tree if there is no opposing torque. Suppose a tree's canopy presents an area of 9.0 m2 to the wind centered at a height of 7.0 m above the ground. (These are reasonable values for forest trees.)

Answers

Answer:

A,)FD= 114.1N

B)Torque=798.5Nm

Explanation:

We can model a pine tree in the forest as having a compact canopy at the top of a relatively bare trunk. Wind blowing on the top of the tree exerts a horizontal force, and thus a torque that can topple the tree if there is no opposing torque. Suppose a tree's canopy presents an area of 9.0 m^2 to the wind centered at a height of 7.0 m above the ground. (These are reasonable values for forest trees.)

If the wind blows at 6.5 m/s, what is the magnitude of the drag force of the wind on the canopy? Assume a drag coefficient of 0.50 and the density of air of 1.2 kg/m^3

B)What torque does this force exert on the tree, measured about the point where the trunk meets the ground?

A)The equation of Drag force equation can be expressed below,

FD =[ CD × A × ρ × (v^2/ 2)]

Where CD= Drag coefficient for cone-shape = 0.5

ρ = Density

Area of of the tree canopy = 9.0 m^2

density of air of = 1.2 kg/m^3

V= wind velocity= 6.5 m/s,

If we substitute those values to the equation, we have;

FD =[ CD × A × ρ × (v^2/ 2)]

F= [ 0.5 × 9.0 m^2 × 1.2 kg/m^3 ( 6.5 m/s/ 2)]

FD= 114.1N

B) the torque can be calculated using below formula below

Torque= (Force × distance)

= 114.1 × 7

= 798.5Nm

Will the 79 kg skier in the figure below slide down if f the coefficient of static friction is 0.25?

Answers

Answer:

Man will not slide down

Explanation:

Given:

Coefficient of static friction = 0.25

Angle = 13°

Computation:

Man will slide down if

tan13° > Coefficient of static friction

Tan 13 = 0.23

So,

0.23 < 0.25

So,

Man will not slide down

PLEASE HELP ME WITH THIS ONE QUESTION
A tuning fork of 500 Hz is struck in a room with a speed of sound of 340 m/s. What is the distance between a point of rarefaction and the next compression point, in the resulting sound?

Answers

Answer:

0.34 m

Explanation:

From the question,

v = λf................ Equation 1

Where v = speed of sound, f = frequency, λ = Wave length

Make λ the subject of the equation

λ = v/f............... Equation 2

Given: v = 340 m/s, f = 500 Hz.

Substitute these values into equation 2

λ = 340/500

λ = 0.68 m

But,  the distance between a point of rarefaction and the next compression point, in the resulting sound is half wave length

Therefore,

λ/2 = 0.68/2

λ/2 = 0.34 m

Hence, the distance between a point of rarefaction and the next compression point, in the resulting sound is 0.34 m


I need help with 5 please and thank you

Answers

Answer: A

Explanation:

A capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and the outer is positively charged; the magnitude of the charge on each is 11.5 pC. The inner cylinder has a radius of 0.550 mm, the outer one has a radius of 7.20 mm, and the length of each cylinder is 13.0 cm.
(a) What is the capacitance?
(b) What applied potential difference is necessary to produce these charges on the cylinders?

Answers

Answer:

A)2.811 × 10^-12 F

B)4.09V

Explanation:

(a) What is the capacitance?

Capacitance of coaxial cylinder can be determined using below expresion

C= (2π ε0 L)/ Ln[ rb/ra]

Where

ε0= permittivity of free space= 8.85×10^−12 Fm^-1

L= length of each cylinder =13.0 cm= 13×10^-2m

rb= radius of outer cylinder= 7.20 mm= 7.20×10^-3m

ra=radius of inner cylinder=0.550 mm= 0.550×10^-3 m

If we substitute the values we have,

C= (2π ε0 L)/ Ln[ rb/ra]

C= ( 2 × π × 8.85×10^−12 ×13×10^-2) / Ln[

7.20×10^-3/0.550×10^-3]

C=( 7.2288×10^-12 )/2.5729

C=2.811 × 10^-12 F

B) (b) What applied potential difference is necessary to produce these charges on the cylinders?

Vba= Q/C

Where Vba=potential difference

Q= charge on each = 11.5 pC. = 11.5×10^-12

C= capacitance= 2.811 × 10^-12 F

If we substitute the values we have

Vba=(11.5×10^-12)/2.811 × 10^-12

= 4.09V

Which group is an international organization in which the United States is involved?

A. The Foreign Relations Committee
B. The Senate Armed Services Committee
C. The Department of Defense
D. The World Trade Organization

Ccorrect Answer Is D: The World Trade Organization​

Answers

Answer:

the answer is d the world  trade organization

Explanation:

how much force is needed to accelerate a 2500kg car at a rate of 4m/s2​

Answers

Answer:

10,000 N

Explanation:

Using Newton's Second Law of Motion, Force = Mass*Acceleration.

Plugin 2500 kg for the mass and 4 m/s^2 for the acceleration.

Force = 2500 kg*4 m/s^2 = 10000 Newtons

(SI unit of force is Newtons)

what is the reason for timing more than one oscillation in a simple pendulum​

Answers

Answer:

Time period is the time taken by the body to complete one oscillation and it is noted more than once to get accurate reading from averaging of all the observed values.

A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m3/min. How fast is the height of the water increasing (in m/min)

Answers

Answer:

.0707 m / min

Explanation:

The computation is shown below:

= Flow of the volume ÷ crossectional area

A = π × r^2

= 9 π

= 28.27 m^2

so, the fast of the height of the water rise is

=(2 m^3 / min) ÷ 28.27 m^2

= .0707 m / min

A wave of frequency 500hz and wave length 50m is traveling into a medium, dertimine the speed of velocity of the wave. formula V=f×d.​

Answers

Answer:

25000m/s

Explanation:

V=fd

V=(500)(50)

V=25000m/s

Ans

Sep 19, 2019 — Wave speed is the distance a wave travels in a given amount of time, such as the ... Wave speed is related to both wavelength and wave frequency. ... The equation for wave speed can be used to calculate the speed of a wave when both ... Frequency = SpeedWavelength or Wavelength = SpeedFrequency.

Explanation:

A police officer uses a radar gun that emits electromagnetic waves with a frequency of 10.525 GHz (1.0525 1010 Hz). Assume the police officer is at rest, and is aiming the radar gun at vehicles traveling either directly toward, or directly away from, the radar gun. Assume the speed limit is 110 km/h, as it is on many Canadian highways. The police officer observes reflected waves that have a frequency of 2460 Hz below the frequency of the emitted waves.

Required:
a. At what speed is the car moving?
b. Choose the two correct statements about this situation.

1. The car is moving toward the police officer.
2. The car is moving away from the police officer.
3. The police officer should not cite the driver for speeding.
4. The police officer should cite the driver for speeding.

Answers

Answer:

Explanation:

For Doppler effect in radar the formula is as follows

Δf = f₀ x 2v /c

Δf is change in frequency in reflected wave , f₀ is original frequency , v is velocity of source and c is velocity of right .

Δf  = 2460 Hz , f₀ = 1.0525 x 10¹⁰ Hz , v = ? c is velocity of light .

2460 =  1.0525 x 10¹⁰ x 2 v / 3 x 10⁸

2460 = 105.25 x 2 v / 3

v = 2460 x 3 / (105.25 x 2 )

v = 35 .06 m /s .

(b)

Since the observed frequency is less , the source is moving away from the observer .

option (2) is correct .

please help me with the working too.​

Answers

Answer:

1 : b  2: d

Explanation:

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