The frequency of the rotational motion for the wheel to produce this effect 1.62 rev/min.
What is the angular speed of the wheel?
The angular speed of the wheel is calculated by applying the formula for centripetal acceleration of the wheel.
a = v²/r = ω²r
where;
ω is the angular speed of the wheel in radian per secondsr is the radius of the wheelThe radius of the wheel = 356 m / 2 = 178 m
ω = √a/r
ω = √(5.1/178)
ω = 0.17 rad/s
The angular speed in revolution per minute is calculated as follows;
ω = 0.17 rad/s x 1 rev/2π rad x 60 s/1min
ω = 1.62 rev/min
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Lucy is cruising through space in her new spaceship. As she coasts along, a tiny spacebug drifts into her path and bounces off the window.
Consider several statements concerning this scenario. Evaluate each statement according to the law of momentum conservation and match it to the appropriate category.
TRUE: The total change in momentum for this interaction is zero.
FALSE: The change in the space bug's momentum is greater than the change in the spaceship's momentum.
UNDETERMINED: If the space bug had stuck to the spaceship instead of bouncing off, momentum would not have been conserved for this interaction.
A car increases its velocity from 0m/s to 14 m/s in 2 seconds
answer -
7 m/s^2
Explanation:
it goes 7m/s 14 / 2 = 7
two forces, one of 12 N and another of 24 N, act on a body in such a way that they make an angle of 90° whith each other. find the resultant of the two forces.
26.83 Newton Force is the resultant of the two forces.
F1= 12 N
F2=24 N
resultant force= [tex]F_r= \sqrt{F_1^2+F_2^2+2F_1F_2cos \alpha}[/tex]
angle=90°
[tex]F_r= \sqrt{(12)^2+(24)^2+2(12)(24)(cos 90)}[/tex]
[tex]{:[=\sqrt(144+576+0)],[=\sqrt720],[=26.83N][/tex]
The resultant force is the total force acting on the object or body along with the direction of the body. The resultant force is 0 when the object is at rest or traveling at the same speed as the object. Given that each force is acting in the same direction, their aggregate force ought to be equal.
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In an arcade game a 0.097 kg disk is shot
across a frictionless horizontal surface by compressing it against a spring and releasing it.
If the spring has a spring constant of
166 N/m and is compressed from its equilibrium position by 5 cm, find the speed with
which the disk slides across the surface.
Answer:
Explanation:
Mass of disk = 0.14 kgSpring constant = 155 N/mLength = 4 cmWe need to calculate the speed Using energy conservationWhere, k = spring constantx = compressed lengthm = mass of the discPut the value into the formulaHence, The speed with which the disk slides across the surface is 1.33095 m/s.
A car is traveling 20m/s around a right hand curve. The passenger is at a radius of 5m and the driver is at radius of 6m. What is the centripetal acceleration felt by each?
The exact centripetal acceleration experienced by passenger ∝ₙ and driver ∝ⁿ is 80m/s² & 66.67m/s² respectively.
Mathematically , Centripetal acceleration ∝= v²/r
In the given question velocity will be same for passengers and driver because of common frame.
But the radius is different since distance from each points of frame to the Centre of road will vary. so their centripetal acceleration will differ.
∝= v²/r using this we can find out the exact centripetal acceleration experienced by passenger ∝ₙ and driver ∝ⁿ
∝ₙ= 20²/5= 80m/s²
∝ⁿ=20²/6= 66.67m/s²
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A 40 N force is applied to a 10 kg block, but the object only accelerates at 2 m/s?. Explain why this happens using a free-body diagram.
Using a free body diagram to explain the situation, the acceleration of the block decreased because of force of friction acting in opposite direction reducing the net force on the block and consequently the acceleration of the block.
What is net force on an object?
The net force on an object is the sum of all the forces acting on an object.
According to Newton's second law of motion, the net force on an object is directly proportional to the product of mass and acceleration of the object.
F(net) = ma
F - Ff = ma
where;
F is the applied force on the objectFf is the force of friction on the objectm is the mass of the objecta is the acceleration of the objectIn the absence of friction force, the maximum acceleration of the block is calculated as;
a = F/m
a = 40 N / 10 kg
a = 4 m/s²
In the presence of friction force, the net force will decrease and the acceleration of the block will decrease as well.
In free body diagram (FBD) this can be represented as;
F → Ф ← Ff
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A star has right ascension of 3 hours. Which of these statements is correct about the star?
It is 3 hours north of the celestial equator.
It is 3 hours south of the celestial equator.
It is 3 hours to the east of zero hours right ascension.
It is 3 hours to the west of zero hours right ascension.
The correct statement about the right ascension is "it is 3 hours to the east of zero hours right ascension.
option C is the correct answer
What is right ascension of stars?The right ascension of stars is the astronomical equivalent of longitude.
Right ascension is also the angular distance of the star measured eastward from the first point of Aries, also called the Vernal Equinox.
In other words, the right ascension describes how far a star is displaced from a given point towards the eastward direction along the longitude.
Lines of longitude runs from east to west. But the right ascension runs towards the east.
Thus, the correct statement describing the right ascension would measure it towards the east.
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What has to happen with the time to have the smallest force to stop a moving body.
Answer:
You can only stop (or start) your body moving through space if you can cause an external force to be applied to it.
Explanation:
1. What is the definition of work done?
2. What is the unit for energy?
3.
The engine of Tilly's car exerts a force of 750N. How much
energy would be transferred by the engine if the car moved a
distance of 100m?
4.
Rehana is holding an object of weight 50N is raised by a height
of 200cm. What is the work done in raising the object?
5.
700J of energy is used by Ikram to move a distance of 10m.
What is the force exerted by the person as they walk the
distance?
6. Hifza has a weight of 200N. Aymen has a weight of 350N. If
1000) of energy is used to raise each object, which object will
gain the most height?
The combination of a force's constituent acting inside the displacement's direction as well as its magnitude would be known as the work done mostly via force.
1) Work is done when an applied force produces mobility in a body.
Mathematically , Work = Force x displacement
2) Unit for energy is Joule.
3) Energy can be calculated by such as:
Work = F s
750 x 100 = 75000J would be transferred by engine if car moved a distance of 100m.
4)For the case of Rehana : 200 cm converted to 2m .
again using same concept , W=FS
50 x 2=100J of work done in raising the object.
Energy consumed = 700 J
Distance (Displacement) = 10 m
7) We know work done is also a type of energy which tells the energy consumed by anything in order to move a distance, We know
⇒ Work done = Force × Displacement
⇒ 700 = F × 10
⇒ F = 70 newton
Hence, The force exerted by the person as walked the distance is 70 newton.
6) For the hifza case:- 200N will take more height because it is lighter than 350N so we can do it upward and downward as it is lighter and the energy used is 1000J .
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The diagram shows object N placed one on top of object M. M has a mass of 4 kg and N has a mass of 2 kg. Assume that all the contact surfaces are frictionless, what is the acceleration of N when M is
pulled by a force of 20 N?
A. 0 m/s²
B. 4 m/s²
C. 3.3 m/s²
D. 10 m/s²
If N placed one of these on top of item M, the acceleration when M is dragged by a force od 20 N is 10 m/s. N weighs 2 kg, but M is 4 kg in weight.
The correct answer is D
What happens during acceleration?Acceleration is the rate at which the direction and speed of a moving object change over time. Anything is said to be accelerated when it goes straighter and faster or slower. Therefore, even though the speed is constant, travel on a circle increases due to the constant change in direction.
Is a gradual incline good?Slow acceleration can be dangerous as well as unpleasant, especially when entering a busy state road when you must accelerate rapidly to avoid being rear-ended. When you are moving slowly up a slope while driving, acceleration can sometimes be a hassle.
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If one of the cars starts and ends at the same point in the race (making a loop around the track), what is the car's displacement?
A 0
B 1
C 2
D 7.5
PLEASE
Answer:
A.0
Explanation:
do you believe that doubting is thinking?yes or no then why?
Answer:
yes
Explanation:
Because doubting is thinking something is
wrong
Why does a power plant generator produce alternating current and not direct
current?
A power plant generator does easily generate alternating current and not direct
current simply because the AC current is far cheaper to produce.
Why is a power plant generator cheaper to generate alternating current?The simple reason why a power plant generator generate an alternating current cheaply is because the plant loses a very few energy when electricity is being transmitted with it through a long distance. Whereas, the direct current usually, frequently and most of the time loses more energy.
So therefore, we can now deduce from above that it is easy to generate alternating current from a power plant.
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PLEASEEE HELP ASAPPP
A team of dogs is pulling a person in a sled in the snow. The dogs are attached by a harness that is parallel to the ground. The combined mass of the person and the sled is 62.5 kg.The coefficient of kinetic friction is 0.190 ,and the harness tension is 180.0 N. Determine the sled’s acceleration.
The acceleration of the sled of combined mass 62.5 kg is 1.018 m/s².
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the acceleration of the sled, we use the formula below.
Formula:
a = (T-mgη)/m............... Equation 1Where:
a = Acceleration of the sledm = Mass of the person and the sledT = Tension pn the hernessg = Acceleration due to gravityη = Coefficient of kinetic frictionFrom the question,
Given:
T = 180 Nm = 62.5 kgg = 9.8 m/s²η = 0.19Substitute these values into equation 1
a = [180-(62.5×9.8×0.19)]/62.5a = (180-116.375)/62.5a = 1.018 m/s²Hence, the acceleration of the sled is 1.018 m/s².
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A .50 kg mass attached to an ideal spring of spring constant 80N/c oscillate on horizontal frictionless surface , the mechenical energy is .12j , the greatest energy from y to x is
The greatest energy or the greatest extension from its equilibrium positions is equal to 0.12 J.
What is mechanical energy?Mechanical energy is the sum of potential energy and kinetic energy that is used to do work. Mechanical energy defines the energy of a system because of its motion or position.
The total mechanical energy is conserved as we know the energy can neither be created nor destroyed. The mechanical energy of a system can only be changed from one form to another whenever the forces used to do work are conservative in nature.
The energy is stored in the form of potential energy in a compressed string. If the elastic potential energy is changed into kinetic energy as it is used to accelerate the mass.
The total mechanical energy required to compress the spring is the maximum amount of elastic potential energy stored in the spring. The greatest energy of the spring will be at the maximum displacement. Therefore, the spring will have the greatest potential energy at equilibrium positions equal to 0.12 J.
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In a dentist’s x-ray machine, electrons may be subjected to a net force of 1X10-13 The mass of an electron is about 1X10-30 kg. What is the acceleration of the electrons? How long does it take the electrons to be accelerated from rest across a gap of 10 cm?
The net force on the electron is F = 1X10-13 N.
The mass of the electron is m = 1X10-30 kg.
The distance covered by an electron is S = 10 cm.
The acceleration of an electron can be calculated as:
F = ma
a = F/m
Substitute the values in the above expression.
[tex]a = (\frac{1 * 10^{-13}N }{1* 10^{-30kg} } ) \\[/tex]
a = [tex]1*[/tex][tex]10^{-17} m/s^{2}[/tex]
Thus. the acceleration of the electron is. [tex]a = 1*10^{-17} m/s^{2}[/tex]
The expression of time taken by the electron is given by,
S = ut + [tex]\frac{1}{2} at^{2}[/tex]
Here, u is the electron's initial velocity, whose value is zero because the electron is initially at rest.
Substitute the values in the above expression.
(10cm x 1m/100cm) = 0 x t + 1/2 x (1 x [tex]10^{17}[/tex] m/s²) x t²
(0.1m) x 2 = (1 x [tex]10^{17}[/tex] m/s²)x t²
[tex]t = \sqrt{\frac{0.2m}{(1*10^{17} m/s^{2} )} }[/tex]
t = 1.414 x [tex]10^{-9}[/tex]s
Thus, the time taken by the electrons to be accelerated from rest is t = 1.414 x [tex]10^{-9}[/tex]s
Electrons are accelerated from rest by a potential difference of V volts. The speed of individual electrons in metal wires is typically millions of kilometers per hour. In contrast, drift velocities are typically only a few meters per hour, while signal velocities are 100 million to 1 billion kilometers per hour.
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Aside from density, what other information from the table of planetary data can help someone decide if a planet is terrestrial, jovian, or dwarf?
Jovian planets are less dense than terrestrial planets.
The ratio of these two characteristics—an object's mass divided by its volume is that determines its density.The Jovian planets lack solid surfaces, in contrast to the terrestrial planets that make up our inner solar system—Mercury, Venus, Earth, and Mars. They are made mostly of hydrogen and helium instead, with minute amounts of other gases like methane, ammonia, water, and others in their atmospheres.
Terrestrial planets formed from metal and rock-based planetesimals, but they were ultimately too small to hold much of the solar nebula's rich hydrogen and helium gas. The Jovian planets, on the other hand, originated distant from the Sun where there were abundant ices and rocks.
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Planets A and B have the same mass, but planet
is nait the
Which statement correctly explains the
weight you would experience on each
planet?
O A. You would weigh less on planet A because the distance between
you and the planet's center of gravity would be smaller.
•
B. You would weigh the same on both planets because the masses
of the planets are the same.
• C.
You would weigh more on planet A because the distance between
you and the planet's of center of gravity would be smaller.
both planets because your mass
D. You would weigh the same on
would be the same on both.
b
Statement is accurate C. You would weight more on planet A because the distance between you and the planet's of center of gravity would be smaller.
What is the proper statement's justification?You would weigh less on planet A due to a closer proximity to the planet's center of gravity, which is the statement that best represents your weight on each planet.
According to Newton's rule of universal gravitation, "the force of gravity between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distances between them,"
Given that weight is a function of both mass and gravity, objects on planets with stronger gravitational pull will have heavier masses.
The weight will be lighter since there is less space between the individual and the planet's center.
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How fast would the moon need to travel in order to escape the gravitational pull of Earth, if Earth has a mass of 5.98 x 10^24 kg and the distance from Earth to the moon is 3.84 x 10^8 m?
Answer: 14.41*10^2 m/s
Explanation:
let, V be the escape velocity of the moon.
M be the mass of the earth.
r be the distance between the moon and the earth.
G be the universal gravitational constant.
And G = 6.67428*10^-11 m^3kg^-1 s^-2
here, given in the question that
The earth has a mass of 5.98*10^24 kg.
so, M = 5.98*10^24 kg.
And the distance from the earth to the moon is 3.84*10^8 m.
so, r = 3.84*10^8 m.
now, we know,
V = √2GM/r
V = √(2 * 6.67428*10^-11* 5.98 * 10^24 )/ 3.84*10^8
V = √79.82*10^13/3.84*10^8
V = √20.78*10^5
V = 14.41*10^2 m/s
An airplane is traveling 835 km/h in a direction 41.5 ∘ west of north How far north and how far west has the plane traveled after 4.20 h ?
a. The plane traveled 2626.60 km north
b. The plane traveled 2323.81 km west
How to determine how far north and how far west has the plane traveled after 4.20 h?Since the airplane is traveling 835 km/h in a direction 41.5 ∘ west of north, weresolve it into its component velocity vector.
So, its velocity, V = -(835 km/hsin41.5°)i + (835 km/hcos41.5°)j
= -(835 km/h × 0.6626)i + (835 km/h × 0.7490)j
= -(553.29 km/h)i + (625.38 km/h)j
a. How far north has the plane traveled after 4.20 h ?Now the speed of the plane in the north direction is the j component which is 625.38 km/h.
Since the plane traveled 4.20 h, The distance travelled is d = speed × time = 625.38 km/h × 4.20 h
= 2626.60 km
So, the plane traveled 2626.60 km north
b. How far west has the plane traveled after 4.20 h ?Also, the speed of the plane in the west direction is the i component which is 553.29 km/h.
Since the plane traveled 4.20 h, The distance travelled is d = speed × time = 553.29 km/h × 4.20 h
= 2323.81 km
So, the plane traveled 2323.81 km west
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can someone pls help me
Answer:
The first one is the right answer
Explanation:
This is because a period is only completed when there is the completion of only one oscillation
Which of the following has thermal energy? A. Both a piece of metal that feels hot and a piece of metal that feels cold B. A piece of metal that feels hot but not a piece of metal that feels cold C. A piece of metal that feels cold but not a piece of metal that feels hot D. Neither a piece of metal that feels hot nor a piece of metal that feels cold
Answer:
B
Explanation:
If you try the experiment yourself, You will see that a hot piece of metal has and sustains that thermal energy until that piece of metal eventually cools off.
On the other hand, it takes a while for the cold piece of metal to heat up. So, therefore, it does not contain thermal energy for that long period until it is thoroughly heated up.
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If the maximum tension the rope can with- stand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Answer in units of m/s.
The Maximum tangential speed the ball can have would be = 5.3m/s.
What is tangential speed?A tangential speed is defined as the speed of an object that has an angular velocity with respect to an instantaneous velocity.
The formula used to calculate the maximum tension;
T = mv²/r
Where T = Maximum tension = 132.3N
M = mass= 4kg
r = radius = 0.86m
V= tangential speed = x
Make v the subject of formula;
V = √Tr/m
V = √ 132.3 × 0.86/4
V = √113.778/4
V= √28.4445
V = 5.3 m/s.
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Complete question:
An athlete swings a 4.00 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.860 m at an angular speed of 0.660 rev/s. If the maximum tension the rope can withstand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Which method occurs in a refrigerator?
A. Conduction
B. Convection
C. Radiation
Convection is the method which occurs in a refrigerator
What is Convection ?Convection is used in a refrigerator's system to remove heat from the freezer and refrigeration compartments and send it outside the appliance. The process of convection involves the transfer of heat through the movement of material, typically a gas or a liquid.
Cool air sinks, hence the freezer is located at the top of a refrigerator. The warmer air rises, creating a convection current inside the refrigerator that helps keep it cool. Convection in refrigerators is crucial, so why? The food in the freezer cools the air at the top, which then cools the food as it descends.Learn more about Convection here:
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A car travels 150 kilometers in 3.2 hours. What is the average velocity for the trip in meters per second.
Answer:
13.02 m/s
Explanation:
First, convert the units of kilometer and hours into meter and second. This can be done by multiplying 150 with 1000 since a kilometer equals 1000 meters. This’ll get us the new unit of 150,000 meters.
Then convert 3.2 hours to second by firstly multiplying 3.2 with 60. This’ll get us with 192 minutes since an hour equals 60 minutes. Then multiply 192 by another 60 because a minute equals to 60 seconds. You’ll obtain the new unit of 11520 seconds.
Next, we can now apply the basic velocity formula which is:
[tex]\displaystyle \vec v = \dfrac{\vec s}{t}[/tex]
Where [tex]\vec v[/tex] is velocity, [tex]\vec s[/tex] is displacement and [tex]t[/tex] is time. In this scenario, assume that the car travels in linear path - this means that the displacement equals to distance. Therefore, from the information we have, we can conclude that:
[tex]\vec s[/tex] = 150,000 meters[tex]t[/tex] = 11520 secondsApply in the formula to find velocity:
[tex]\displaystyle {\vec v = \dfrac{150000}{11520}}\\\\\displaystyle{\vec v \approx 13.02 \ \, \sf{m/s}}[/tex]
Therefore, our velocity is approximately 13.02 m/s
A ball rolls down a hill with a constant acceleration of 2 m/. The ball starts at rest and
travels for 4.0 s before it stops
2.-What was the ball's velocity just before it stopped?
a) 2.0 m/s.
b) 8.0 m/s
c)12 m/s
d) 16 m/s
According to the given statement The ball's velocity just before it stopped was 8.0 m/s.
The correct option is B.
What is acceleration?The rate at which velocity and speed change over time is referred to as acceleration. When anything moves faster or slower, it is said to be accelerating or decelerating in a straight line. Even if the speed remains constant, moving in a circle quickens because the direction is always changing.
Is acceleration a speed?A increase in an object's orientation or speed is referred to as acceleration. Acceleration is the term for the pace at which speed changes. Don't forget that velocity is made up of two components: direction and speed.
Briefing:The definition of acceleration comes first
a = v[tex]_f[/tex] - v[tex]_o[/tex] /t
2 = v[tex]_f[/tex]- 0/4
v[tex]_f[/tex]= 8 m/s
After 4 seconds, the ball will be moving at a speed of 8 m/s.
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Two wires are 16 m and 24 m long. The wires are to be cut into pieces of equal length. a) Find the maximum length (in m) of each piece. b) What is the total number of such pieces formed from the two wires?
Answer:
A. The maximum is 8cm. B. 5 pieces of wire.
Explanation:
To find each pieces' length we need to find what can divide both wires = 8cm
A. The maximum is 8cm.
The amount of pieces = 16m/8m = 2 pieces and 24m/8m = 3 pieces. 2 pieces + 3 pieces = 5 pieces of wire.
B. 5 pieces of wire.
a race car is traveling in a uniform circular motion around a race track what happends to the radial aceleration of the car if the velocity is dobled and the radio od the circel is half
A race car is traveling in a uniform circular motion around a race track, the radial acceleration of the car when the velocity is doubled and the radius of the circle is halved will increase by a factor of 8 (Option D)
What is radial acceleration?To arrive at the above conclusion, we must recall that radial acceleration is defined by:
Ac = v²/r; where
Ac - is the magnitude of radial acceleration
v - is the linear or tangential speed
r - is the radius of the circular path
A′c - is the new magnitude of the radial acceleration.
Given that the linear velocity is duplicated and simultaneously the radius is split in two, then the new radial acceleration increases by a factor of 8, according to the following calculation:
A'c = (2v²)/(0.5r)
= 4v²/(0.5r)
= 8 · (v²/r)
= 8 · Ac
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Full Question:
A race car is traveling in a uniform circular motion around a race track what happens to the radial acceleration of the car if the velocity is doubled and the radius of the circle is halfed?
A. It remains the same.
B. It increases by a factor of 2.
C. It increases by a factor of 4.
D. It increases by a factor of 8.
E. It decreases by a factor of 2.
A series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 to
a battery. What is the total equivalent resistance?
The total equivalent resistance of the circuit which consists of 4 resistors ( 1202, 180, 320 and 3802 ) connected in series is 50.1 KΩ
Resistance of resistor,
1202 = 12 KΩ180 = 18 Ω320 = 32 Ω3802 = 38 KΩTotal equivalent resistance, R = R1 + R2 + R3 + R4
R = 12000 + 18 + 32 + 38000
R = 50.1 KΩ
Equivalent resistance is a another way of indicating total resistance. The equivalent resistance will be of a single resistor that replaces the total network without altering any effect on the system.
Therefore, the total equivalent resistance of a series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 is 50.1 KΩ
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A bowling ball weighing 68.0 N initially moves at a speed of 3.00 m/s. How long must a force of 38.0 N be applied to the bowling ball to stop it?
The time taken for the bowling ball to stop, given that a force of 38 N was applied is 0.55 s
How to determine the timeWe'll begin by obtaining the deceleration of the ball. This can be obtained as follow:
Weight of ball (W) = 68 NAcceleration due to gravity (g) = 9.8 m/s²Mass (m) = W / g = 68 / 9.8 = 6.9 KgForce (F) = 38 NDeceleration (a) = 5.71×10¹⁴Force (F) = mass (m) × deceleration (a)
F = ma
Divide both sides by m
a = F /m
a = 38 / 6.9
a = -5.5 m/s²
Finally, we shall determine the time. This is shown below:
Initial velocity (u) = 3.00 m/sDeceleration (a) = -5.5 m/s² Final velocity (v) = 0 m/sTime (t) =?a = (v – u) / t
-5.5 = (0 – 3) / t
-5.5 = -3 / t
Cross multiply
-5.5 × t = -3
Divide both sides by -5.5
t = -3 / -5.5
t = 0.55 s
Thus, we can say that the time required is 0.55 s
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