A pinball bangs against a bumper of a pinball machine with a speed of 0.46 m/s. If the ball has a mass of 0.058 kg, what is the ball's kinetic energy?


This needs to be done in 3 mins

Answer:

The two forces are;

1) Force 1 with magnitude of approximately 183.013 N, acting 30° to the left of the resultant force

2) Force 2 with magnitude of approximately 129.41 N acting at an inclination of 45° to the right of the resultant force

Explanation:

The given parameters are;

The (magnitude) of the resultant of two forces = 250 N

The angle of inclination of the two forces to the resultant = 30° and 45°

Let, F₁ and F₂ represent the two forces, we have;

F₁ is inclined 30° to the left of the resultant force and F₂ is inclined 45° to the right of the resultant force

The components of F₁ are [tex]\underset{F_1}{\rightarrow}[/tex] = -F₁ × sin(30°)·i + F₁ × cos(30°)·j

The components of F₂ are [tex]\underset{F_2}{\rightarrow}[/tex] = F₂ × sin(45°)·i + F₂ × cos(45°)·j

The sum of the forces = F₂ × sin(45°)·i + F₂ × cos(45°)·j + (-F₁ × sin(30°)·i + F₁ × cos(30°)·j) = 250·j

The resultant force, R = 250·j, which is in the y-direction, therefore, the component of the two forces in the x-direction cancel out

We have;

F₂ × sin(45°)·i = F₁ × sin(30°)·i

F₂ ·√2/2 = F₁/2

∴ F₁ = F₂ ·√2

∴ F₂ × cos(45°)·j  + F₁ × cos(30°)·j = 250·j

Which gives;

F₂ × cos(45°)·j  + F₂ ·√2 × cos(30°)·j = 250·j

F₂ × ((cos(45°) + √2 × cos(30°))·j = 250·j

F₂ × ((√2)/2 × (1 + √3))·j = 250·j

F₂ × ((√2)/2 × (1 + √3))·j = 250·j

F₂ = 250·j/(((√2)/2 × (1 + √3))·j) ≈ 129.41 N

F₂ ≈ 129.41 N

F₁  = √2 × F₂ = √2 × 129.41 N ≈ 183.013 N

F₁  ≈ 183.013 N

The two forces are;

A force with magnitude of approximately 183.013 N is inclined 30° to the left of the resultant force and a force with magnitude of approximately 129.41 N is inclined 45° to the right of the resultant force.

Answer: A) True, you are correct

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Explanation:

Power in physics is defined as

power = (change in work)/(change in time)

which shows that power is basically the rate of work done. We can think of it like a speed of sorts.

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

For example, if you apply 100 joules of work over 2 seconds, then,

power = (100 joules)/(2 seconds)

power = (100/2) joules per second

power = 50 watts

A watt is defined to be a joule per second, and it's often used to measure how much electricity is consumed, but it has broader uses in physics as well.

Answer:

1. 12 g/cm³

2. 0.5 m

Explanation:

1.

The weight of the gold is 240 g

The volume is 20 cm³

Density = Mass/ volume

Density = 240 / 20 = 12 g/cm³

2.

The formula for moment of a force is ;

Force * distance perpendicular  between force and the turning point of force

Given that the moment of force is 12.5 Nm and force is 25 N  then the perpendicular distance between the force and the turning point will be;

12.5 = 25 * d

12.5/25 = d

0.5 = d

d= 0.5 m

Answer:

Option B

"Packets" of electromagnetic energy eject electrons.

Explanation:

A photon is a tiny packet of light. Light as we know is a form of electromagnetic energy. Whenever light is incident on a photoelectric surface, the energy of the light wave gets transferred to the electron, causing it to have enough energy to eject electrons from its surface. The electrons, once ejected, are now free to move about, thus, resulting in the flow of electrical current.

This makes option B the correct answer

Answer:

8009 N

Explanation:

Given that a 1370-kg small aircraft accelerates along the runway from 7.4 m/s to 37.8 m/s in 5.20 seconds. Determine the net force acting upon the plane. (Assume that its engine/propeller makes no contributes to its forward motion)

According to the definition of acceleration, acceleration is the change in velocity per time taken.

Acceleration a = ( 37.8 - 7.4 )/ 5.2

Acceleration a = 30.4 / 5.2

Acceleration a = 5.846 m/s^2

Force = mass × acceleration

Force = 1370 × 5.846

Force = 8,009 N

Therefore, the net force acting upon the plane is 8009 N. (Assume that its engine/propeller makes no contributes to its forward motion)

Answer:

Part A:

The other two ways we can rewrite F = m·a are;

1) F = dp/dt

2) F = m × d(v)/dt

Part B:

The mass of the wheelbarrow is 60 kg

Explanation:

Part A:

The other two ways of rewriting the equation are;

1) Force as the rate of change of momentum, F = dp/dt = d(m·v)/dt and

2) From the above equation, where, m is constant, we have;

F = d(m·v)/dt  = m × d(v)/dt

∴ F = m × d(v)/dt

Part B:

The force with which we push the wheelbarrow = 240 N

The acceleration, a, given to the wheelbarrow (by the applied force) = 4 m/s²

From F = m × a

Where;

m = The mass of the wheelbarrow

m = F/a = 240 N/(4 m/s²) = 60 kg

The mass of the wheelbarrow = m = 60 kg.

Answer:

In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. Colloquially, curves that do not touch each other or intersect and keep a fixed minimum distance are said to be parallel.

In a series circuit, the current that flows through each of the components is the same, and the voltage across the circuit is the sum of the individual voltage drops across each component. ... In a series circuit, every device must function for the circuit to be complete.

In a series circuit, all components are connected end-to-end, forming a single path for current flow. In a parallel circuit, all components are connected across each other, forming exactly two sets of electrically common points.

Explanation:

I hope these helps^,^      ^_^

Explanation:

We need to draw position-time graph when the speed is increasing.

The slope of position-time graph gives the speed of an object.

Position means distance covered.

When the speed of an object is increasing with time. It means it is moving with increasing speed.

The attached figure shows the position -time graph when speed is increasing​.

Hello!

[tex]\large\boxed{d = 10 m}[/tex]

When the ball reaches its maximum height, the velocity equals 0. We can use the kinematic equation:

vf = vi + at, where:

vf = final velocity (0)

vi = initial velocity (14 m/s)

a = acceleration due to gravity, or 9.8 m/s (downwards)

t = time, which will be solved for.

Plug in the given values:

0 = 14 - 9.8(t)

-14 = -9.8(t)

t ≈ 1.429 sec

Solve for the distance traveled using the kinematic equation:

d = 1/2(vf + vi)t

Plug in the values:

d = 1/2(14 + 0)(1.429)

d = 1/2(14 · 1.429)

d ≈ 10 m

Answer:

2m/s

Explanation:

time is 5 seconds

distance is 10m

the formula for velocity is v=d/t

so, v=10/5

v=2 m/s

Answer:

The answer is B

Explanation:

Trust

Answer:

300m/s/s

Explanation:

a=f/m

f=150N

m=.5kg

150/.5=300

The free-body diagram of the forces acting on a book resting on a table is shown in the figure.

When a body is at rest, the net force on the body is zero. So, no acceleration is produced in it. If a body is in contact with another body or surface, a normal contact force acts on it perpendicular to the surface in contact.

So, the forces acting on a book resting on a tabletop are:

1. Weight of the book, W(downward)

2. Normal force (N) perpendicular to the surface in contact.

Therefore, the free-body diagram of the forces acting on a book resting on a table is shown in the figure.

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Answer:

Distance covered to top of the hill was : 1.755 km

Explanation:

Initial velocity = 35 km/hr

Acceleration = 2.0 km/hr²

Time taken to accelerate = 3 minutes = 3/60 hours = 1/20 hours

Formula for acceleration : a = Δv /t  

v-u/t    ---where u is initial velocity , v is final velocity and t is time taken for acceleration

v- 35 / 0.05 = 2

v = 35.10 km/h

Formula for distance is product of speed and time

Distance covered = 35.10 * 0.05 = 1.755 km

Answer:

Explanation:

The mass of the rock can be found by using the formula

[tex]m = \frac{p}{v} \\ [/tex]

p is the momentum

v is the velocity

From the question we have

[tex]m = \frac{5000}{20} = \frac{500}{2} = 250 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

400N

Explanation:

Given the following parameters

Mass m = 200g = 0.2kg

initial velocity u = 48m/s

Final velocity v = 52m/s

Time t = 2.0x10-3 s.

Impulse is expressed as I = Ft = m(v-u)

Ft = m(v-u)

F =  m(v-u)/t

Substitute the given values into the formula

F = 0.2(52-48)/0.002

F = 0.2(4)/0.002

F = 0.8/0.002

F = 400N

Hence the average force of the bat on the ball is 400N

Answer:

there are a number of types of asexual reproduction including fission, fragmentation, budding, vegetative reproduction, spore formation and gamogenesis. Spore formation occurs in plants, and some algae and fungi, and will be discussed in additional concepts

the production of new living organisms by combining genetic information from two individuals of different types (sexes). In most higher organisms, one sex (male) produces a small motile gamete which travels to fuse with a larger stationary gamete produced by the other (female)

The advantages of sexual reproduction: produces genetic variation in the offspring. the species can adapt to new environments due to variation, which gives them a survival advantage. a disease is less likely to affect all the individuals in a population.

Explanation:

Explanation:

Let the mass of the body is m. The gravitational force acting on the object is given by :

[tex]F=\dfrac{GMm}{r^2}[/tex] ....(1)

G is universal gravitational constant

M is mass of Earth

r is the distance between the body

The acceleration of falling objects due to the gravitational force of Earth is equal to the acceleration due to gravity (g).

F = mg ...(2)

g is acceleration due to gravity

From equation (1) and (2) :

[tex]\dfrac{GMm}{r^2}=mg\\\\g=\dfrac{GM}{r^2}[/tex]

Here, M is mass of Earth and r is the distance. Hence, the acceleration due to gravi ty is independent to the mass of the falling body

Complete question :

the resistance r =v/i where v = (100±5 )v and I = (10±0.2) a.find percentage error in r

Answer:

7%

Explanation:

Given that :

R = V/I

V = 100 ± 5

I = 10 ± 0.2

Percentage error in R can be obtained thus :

[(dV / V) + (dI / I)] * 100%

dV = ± 5

dI = ± 0.2

[(5 / 100) + (0.2 / 10)] * 100%

(0.05 + 0.02) * 100%

= 0.07 * 100%

= 7%

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 = 438 × 2.55

We have the final answer as

Hope this helps you

Answer:

This question is unclear but the answer is:

the color of the con

Explanation:

In an experiment, the independent variable is the variable that is changed or manipulated by the experimenter to achieve a measurable response.

In this experiment which involves a student that notices that wearing care colors insight makes him feel warmer se. He decides to conduct an experiment by manipulating the colors of the cares, hence, the color of the con is the independent variable.

Explanation:

pressure=force/area

area =4×4=16 m^2

therefore p= 1200÷16

= 75 Nm^-2/Pa

Answer:

C. Garnet

Explanation:

density = mass/volume

density = 6.24g/1.98cm^3

density = 3.15 g/cm^3 (Garnet)

Hope this helps!

Garnets are minerals that can be found as single crystals, pebble-like formations, or masses of intergrown crystals.They are opaque, transparent to translucent minerals. Thus, option C is correct.

A garnet has a volume of 1.6 cubic centimetres and a density of 3.5 grams per cubic centimetre. The proportion of a mineral's mass to volume is known as density. It is a measurement of how much “stuff” can fit into the space a mineral takes up.

Garnets can be found in a variety of colours, including orange, yellow, green, purple, brown, blue, black, pink, and colorless, but are most usually found in reddish tones.There are very few blue garnets.

Therefore, density = mass/volume density = 6.24g/1.98 cm^3 density = 3.15 g/cm^3 (Garnet).

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Explanation:

answers.................

Explanation:

dimension are used for

1 we check the homogeneity of a physical equation

2 drive a possible formula for a physical problem

3 To find dimensions of physical constants or coefficients.

Answer:

8.5m/s

Explanation:

Using the equation of motion

v² = u² + 2gH

v is the final speed of the diver

u  is the initial speed of the diver

g is the acceleration due to gravity

H is the height of the object

Given the following

V = 1.3m/s

H = 3.60m

g = 9.8m/s²

Required

Initial speed of the diver u

Substitute the given values into the formula:

v² = u² -2gH

1.3² = u²  - 2(9.8)(3.60)

1.69 = u²-70.56

u² = 1.69+70.56

u² = 72.25

u = √72.25

u = 8.5m/s

Hence the diver's speed, in m/s, just before she enters the water is 8.5m/s

Answer:

1. What similarities do you notice

Within a group(column)?

Within a row (period)?

2. Locate the element in Period 4, Column 1.

Predict the number of valence electrons.

Predict the Lewis Dot Structure