Given :
Thin hoop with a mass of 5.0 kg rotates about a perpendicular axis through its center.
A force F is exerted tangentially to the hoop. If the hoop’s radius is 2.0 m and it is rotating with an angular acceleration of 2.5 rad/s².
To Find :
The magnitude of F.
Solution :
Torque on hoop is given by :
[tex]\tau =F\times R\\\\I\alpha = FR\\\\MR^2\alpha = FR\\\\F = MR\alpha[/tex]( Moment of Inertia of hoop is MR² )
Putting value of M, R and α in above equation, we get :
[tex]F=5\times 2\times 2.5\ N\\\\F = 25 \ N[/tex]
Therefore, the magnitude of force F is 25 N.
Hence, this is the required solution.
Which is an example of an object at rest?
a. a jet flying overhead
b. a chair on a floor
c. a rabbit jumping
d. a ball hit by a bat
Answer:
b. a chair on a floor
Explanation:
All of the other objects are in motion, the jet is flying so it is not at rest, the rabbit is also moving, and a ball hit by a bat is also in motion
A man pushes a box along a flat, frictionless surface using a force of 500 N. The box was moved a distance of 2.5 m. The actual work done by the worker was _____
Answer:
Workdone = 1250Nm
Explanation:
Given the following data;
Force, F = 500N
Distance, d = 2.5m
Workdone is given by the formula;
[tex] Workdone = force * distance[/tex]
Substituting into the equation, we have
[tex] Workdone = 500 * 2.5 [/tex]
Workdone = 1250Nm
Therefore, the actual work done by the worker is 1250 Newton-meter.
The actual work done by the worker is 1250 J.
Work can be defined as the product of force and distance. The s.i unit of work is Joules
The formula of work is
W = Fd....................... Equation 1
Where W = work done by the worker, F = Force, d = distance.
From the question,
Given: F = 500 N, d = 2.5 m
Substitute these values into equation 1
W = 500×2.5
W = 1250 J
Hence, the actual work done by the worker is 1250 J
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Definition: This is a drawing showing the direction and magnitude of all forces acting on a body.
Answer:
Free body diagram
At which position is the roller coaster car's amount of potential energy about equal to the amount of kinetic energy?
Answer:
The mass of the cars and people and the height of the track where the cars are located determine the potential energy in the system. Potential energy depends on an object’s mass and height and the gravitational pull on the object. A change in gravity would result in a change in potential energy. For example, if the track were located on the Moon instead of Earth, the potential energy would be different.
Explanation:
. Reem took a wire of length 10 cm. Her friend Nain took a wire of 5 cm of the same material and thickness both of them connected with wires as shown in the circuit given in figure. The current flowing in both the circuits is the same. (a) Will the heat produced in both the cases be equal? Explain.
Given :
Reem took a wire of length 10 cm. Her friend Nain took a wire of 5 cm of the same material and thickness both of them connected with wires as shown in the circuit given in figure. The current flowing in both the circuits is the same.
To Find :
Will the heat produced in both the cases be equal.
Solution :
Heat released is given by :
H = i²Rt
Here, R is resistance and is given by :
[tex]R = \dfrac{\rho L}{A}[/tex]
So,
[tex]H = i^2\times \dfrac{\rho L}{A} t\\\\H = \dfrac{i^2\rho Lt}{A}[/tex]
Now, in the question every thing is constant except for the length of the wire and from above equation heat is directly proportional to the length of the wire.
So, heat produced by Reem's wire is more than Nain one.
Hence, this is the required solution.
Which change to an object would double its kinetic energy?
A. Increasing its mass to twice its original value
B. Increasing its mass to four times its original value
C. Increasing its velocity to four times its original value
D. Increasing its velocity to twice its original value
Match each term to its definition.
Which segment of this graph shows a decreasing velocity?
A. A to B
B. B to C
C. C to D
D. D to E
E. E to F
Answer:
E to F
Explanation:
The velocity decreases during segment E to F since the slope of the curve decreases with time.
Position-time graph:We have 5 segments in the given graph between position and time. Analyzing each segment we can conclude the following:
Segment A to B: the position remains constant as time increases, this means that the velocity is zero.
Segment B to C: the rate of increase in the position slowly becomes greater as time passes, which means velocity is increasing and the object is accelerating
Segment C to D: The rate of increase in the position is constant with respect to the rate of increase in time, the slope of the curve is constant, which means that the velocity is constant.
Segment D to E: same as the segment A to B, the velocity is zero.
Segment E to F: The rate of increase in the position slowly decreases with time, and the slope of the curve decreases with time, which means the velocity is decreasing.
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A box of mass m is pushed at an angle 0 by a force Fp along a frictionless surface. The box travels to right with acceleration a. What is the mass of the box?
Answer:
m = FpCos0 / a
Explanation:
it just is
A box of mass m is pulled at an angle θ by a force Fp along a frictionless surface. The box travels to the right with acceleration a
What is the mass m of the box?
Answer: m = FpCos0/a
A wave had a frequency of 5 hertz and a speed of 25 m/s. What is the wavelength of the wave
Heya!!
For calculate wavelength, lets applicate formula:
[tex]\boxed{\lambda = V/f}[/tex]
Δ Being Δ
f = Frequency = 5 Hz
v = Velocity = 25 m/s
[tex]\lambda[/tex] = Wavelenght = ?
⇒ Let's replace according the formula:
[tex]\boxed{\lambda = 25\ m/s / 5\ Hz }[/tex]
⇒ Resolving
[tex]\boxed{\lambda = 5\ m}[/tex]
Result:
The wavelength is 5 meters.
Good Luck!!
The wavelength of the wave is 5 meters.
Given the following data:
Frequency = 25 HertzSpeed = 25 m/s.To find the wavelength of the wave:
Mathematically, the wavelength of a waveform is calculated by using the formula;
[tex]Wavelength = \frac{Speed}{Frequency}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Wavelength = \frac{25}{5}[/tex]
Wavelength = 5 meters.
Therefore, the wavelength of the wave is 5 meters.
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Question 7 of 20 A permanent magnet is placed in a coil of wire. If there is no electric current in the wire, which statement must be true? A. The magnet is moving relative to the wire. B. The magnet is not moving relative to the wire. C. The magnet is longer than the coil of wire. D. The magnet is shorter than the coil of wire.
Answer:
the magnet is not moving relative to the wire so B
Explanation:
The magnet is not moving relative to the wire if, A permanent magnet is placed in a coil of wire, If there is no electric current in the wire so, option B is correct.
What is current?Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). The more electricity flowing across the circuit, the higher the ampere value.
When current flows through a coil of wire, it transforms into an electromagnet. The coil spins as a result of the electromagnet's interaction with a permanent magnet.
An electromagnet is created when current passes through a coil of wire. Because of the electromagnet's interaction with a permanent magnet, the coil spins.
Thus, The magnet is not moving relative to the wire.
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A 10 kg bowling ball and a 1 kg softball are both dropped from rest from the same height at the same time. The force of gravity on the bowling ball
Answer:
98N
Explanation:
Given parameters:
Mass of the bowling ball = 10kg
Mass of the softball = 1kg
Unknown:
Force of gravity on the bowling ball = ?
Solution:
The force of gravity on an object is the same as the weight of the body;
Weight = m x g
m is the mass
g is the acceleration due to gravity = 9.8m/s²
Weight of bowling ball = 10kg x 9.8m/s² = 98N
Plss help
The above person is in an elevator as it accelerates
upward. What do they feel?
a. Heavier than normal. c. The same weight as
normal.
b. Lighter than normal. d. Scared to be in an elevator
with no door.
Answer:
b
Explanation:
imagine urself on an elevator dont you feel lighter
what disadvantages does a conveyor belt have?
Answer:
Some of the disadvantages are: The normal design of a belt conveyor is opened. If your product needs to be contained, covers and or drip pans can become expensive and cumbersome. If the material is sticky, belt cleaning can be difficult and generally not very successful.
Explanation:
Which illustration represents the arrangement of particles in a gas?
The particles in the gas are farther apart from each other, therefore illustration (C) represents the arrangement of particles in a gas.
What are the states of matter?Matter exists in different forms in nature in which three common states are solid, liquid, and gaseous. Some substances have a definite shape and some can flow, and take the shape of their container like water, some forms of matter do not have certain shapes or sizes.
The particles in solids are highly closely packed so illustration (D) represents the particles in a solid state. The compact packing of solids means that the particles are very close to each other and do not show movement.
In liquids, the particles are some distance away from each other and they show some movements. The particles in a liquid have some kinetic energy.
In gases, the particles are farther from each other and thus their particles show large movement. The kinetic energy of particles in gases is the greatest in comparison to that of solids and liquids.
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What is the best description of sound waves?
A. A source vibrates up and down, causing air molecules to move up and down perpendicular to the direction the wave is transmitted.
B. A source vibrates back and forth, causing air molecules to move back and forth in the same direction that the wave is transmitted.
C. A source vibrates up and down and back and forth, causing air molecules to move in a circular motion as the wave is transmitted.
D. A source ejects a ring of high-velocity air molecules that travel from the source to a listener.
Answer:
If im right the answer should be D
The ball is displaced to the left and then oscillates backwards and forwards between the two plates. The ball touches a plate once every 0.05 s. Every time it touches a plate, a charge of 2.8 × 10−8 C (0.000 000 028 C) is transferred. Calculate the average current produced by the repeated transfer of charge.
Answer:
Average current produced by the repeated transfer of charge is 5.6 × 10⁻⁷ ampere
Explanation:
The formula to be used here is
Q = It
where Q is the quantity of electricity and it is measured coulombs (C); 2.8 × 10⁻⁸ C or 0.000000028 C
I is current and it is measured in ampere (amps or A); unknown
t is time and it is measured in seconds (s); 0.05 s
Since, average current is what is unknown
I =Q/t
I = 0.000000028/0.05
I = 5.6 × 10⁻⁷ A
Average current produced by the repeated transfer of charge is 5.6 × 10⁻⁷ ampere
A spring compresses 0.8 m when the 800 kg crate of llamas slides down and hits it. Ignore friction and find the spring constant of the spring. The ramp is at a 47° angle.
Answer:
7167.27N/m
Explanation:
To get the force constant k, we will use the formula;
F = kx where
F is the force acting on the object down the plane
k is the spring constant
x is the extension
The force acting down the ramp us F = Wsintheta. The formula will become;
Wsintheta = kx
mgsintheta = kx
K = mgsintheta/x
K = (800)(9.8)sin47°/0.8
K= 7840sin47°/0.8
K = 5733.81/0.8
K = 7167.27N/m
Hence the spring constant of the spring is 7167.27N/m
What occurs when the moon blocks the view of the sun
Neap tide
Spring tide
Solar eclipse
Lunar eclipse
Answer:
solar eclipse
Explanation:
because at that time, the moon completely covers the path and casts its shadow on earth because it is present between sun and earth's path. so, solar eclipse occurs.
hope it helps :)
Answer:solar eclipse
Explanation:
Top one is right <3
A baseball is thrown towards home plate. It takes 3.4 seconds for the ball to reach the catcher's glove from the pitcher's glove and reaches a maximum velocity of 90m/s. What is the ball's acceleration?
Answer:
57
Explanation:
How is fishpond raising affected by global climate change?
Answer:
It creates bad air so that’s like air pollution I guess
Explanation:
Which of the following diagrams best represents the gravitational force W. the frictional force f, and the normal force N that act on the block?
It's D.
Weight always points downward.
The normal force always points perpendicular to the surface.
Friction opposes motion, so it points in the direction opposite the direction in which the block is moving.
You launch a model rocket that has a mass of 1.5 kg. At a height of 300 m, it is traveling at 125 m/s. What is it's kinetic energy at this point
Answer:
KE = 11,719 J
Explanation:
KE = ½ mv²
KE = ½ (1.5 kg) (125 m/s)²
KE = 11,719 J
Answer: 11,719 J
Explanation:
just did it on a.p.e.x
Describe an experiment to show that the force pulling an object increase
with the increase in the mass of the object.
Answer:
"Acceleration due to gravity" whereby Force and Mass are directly proportional
Explanation:
F=ma
Answer:
just use the magnet experience
Explanation:
it shows how force pulling an object increase
with the increase in the mass of the object.
what does acromyn BMI stand for
Answer:
Body Mass Index
Explanation:
Problem 1
You push your square space cow, mass 5 kg, with a force of 10 N. what will be the acceleration of your space cow?
Answer:
2 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
f is the force
m is the mass
From the question we have
[tex]a = \frac{10}{5} \\ [/tex]
We have the final answer as
2 m/s²Hope this helps you
Clouds are forming along the front because the rising air is
A) contracting and warming, causing
evaporation
B) contracting and cooling, causing evaporation
C) expanding and warming, causing condensation
D) expanding and cooling, causing condensation
Answer:
D
Explanation:
The water vapor rises in the air. It starts to expand while cooling the higher it gets in the atmosphere. This causes condensation.
Clouds are forming along the front because the rising air is expanding and cooling, causing condensation (Option D).
Cloud formation occurs when water vapor cools and condenses to form liquid water droplets or solid ice crystals.In a cloud, liquid water droplets are formed at temperatures higher than 0 Celsius degrees, while solid ice crystals are formed at temperatures lesser than 0 Celsius degrees.In consequence, during cloud formation, the excess amount changes from water vapor (gas) into a liquid (water droplets) or solid (ice).In conclusion, clouds are forming along the front because the rising air is expanding and cooling, causing condensation (Option D).
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A parallel circuit containing two bulbs and a bell has three paths for the current flow. If the first bulb in the circuit burns out, what effect will it have on the other loads in the circuit?
A. The other bulb will go out, but the bell will continue to work.
B. The other bulb will remain lit, but the bell will no longer work.
C. The other loads will not be affected.
D. All the other devices will stop working.
Answer:
C
Explanation:
Since the circuit is in parallel there will be no effect on the other loads.
During a lab you combined 5g of sodium bicarbonate and 10g of vinegar to produce sodium acetate, water, and carbon dioxide. After the reaction the contents of the beaker only weighed 14.5g. How much of the reactants were converted into carbon dioxide?
Answer:
Explanation:
Na₂CO₃ + CH₃COOH = CH₃COONa + CO₂ + H₂O .
1 mole 1 mole
mol weight of sodium carbonate = 106
mol weight of acetic acid = 60
5 g of sodium carbonate = 5 / 106 = .047 moles
10 g of acetic acid = 10 / 60 = .167 moles
sodium carbonate is the limiting reagent
.047 moles will react with .047 moles of acetic acid to give products .
grams of acetic acid reacted = .047 x 60 = 2.82 gram
grams of sodium carbonate reacted = 5 grams .
Mechanical weathering does not change a rock's
Answer:
composition
Explanation:
With mechanical weathering, the composition of the rocks does not change. ... This process can cause the rock to again break down into smaller pieces.
Answer:
composition
Explanation: