The horse takes 16.67 seconds long to go around the carousel twice.
Equation :To find the time first thing to note is that, if a line is drawn from the horse to the center of the carousel, all points above the line will take the same amount of time to complete one, two, or as many rounds as they choose.
So, we are going to use the formula,
θ = ωt
Then,
We must see it is similar to a clock in that every point in the minute arrow hits 12 simultaneously as it travels around the clock.
We note that the problem is independent of the distance from the central axis.
The horse's angle is equal to its angular velocity multiplied by the passage of time, so all we need to know is its angular velocity.
Now, applying the formula
θ = ωt
we have,
θ = 2 rev
ω = 0.12rev/s
So,
t = θ / ω
t = 2 / 0.12
t = 16.67 s
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A ball was kicked horizontally off a cliff at 14m / s. how high was the cliff if the ball landed 83 m from the base of the cliff?
The height of the cliff from which the ball fell is 172.3 m.
What is the time of motion of the ball?
The time of motion of the ball is the time taken for the ball to travel from its initial position to the final position.
X = Vt
where;
X is the horizontal distance travelled by the ballV is the horizontal velocity of the ballt is the time of motion of the ballt = X/V
t = (83 m) / (14 m/s)
t = 5.93 s
The height of fall of the ball is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity = 0g is acceleration due to gravityh = 0 + ¹/₂gt²
h = ¹/₂gt²
h = ¹/₂(9.8)(5.93)²
h = 172.3 m
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A stone of 0.5 kg mass is thrown with 5 m/s. Find the kinetic energy of the stone.
Answer
the answer is 6.25
Explanation:
Here, the mass of the stone (m) = 0.5 kg, velocity at which it is thrown (v) = 5 m/s, The kinetic energy of the stone (KE) =? We have, Kinetic energy of the stone (KE) = \ (\frac12mv^21) = \(\frac120.5\times5^2\) = 6.25 Joules Hence, the kinetic energy of the stone (KE) is 6.25 joules. Hope it will be helpful
A girl runs at 10m/sec for 6 seconds, and then walks at 5 m/sec for 4 seconds. What is the average speed of the girl for the entire trip?
The average speed of the girl for the entire trip is 8m/s
Firstly we have to find the total distance that the girl covered.
As formula says
Distance = speed * time
So according to the question;
Total Distance = 10×6 + 5×4
= 60+20
= 80
And the total time taken by the girl = 6+4
= 10
Therefore, by Putting the values in the formula:
Average speed = 80÷10
=8m/s
Hence, the average speed of the girl is 8m/s.
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4) Free fall is a situation in which the only force acting upon an object is gravity. Why do all objects in free fall have the same acceleration?
A) their masses are always the same
B) acceleration due to gravity is always the same
C)
the distance between two objects is always the same
D) the gravitational force between two objects are always the same
All objects in free fall have the same acceleration because acceleration due to gravity is always the same. So option B is correct.
What is gravity?Gravity can be referred to as the force by which a planet or other body draws objects toward its center.
Gravity is one of the universe's fundamental forces and dominates every moment of our conscious experience which helps keeps us close to the ground.
All objects in free fall have the same acceleration because acceleration due to gravity is always the same.
Free fall is a special type of motion in which the only force acting upon an object is gravity which will make all objects with the same rate of acceleration, regardless of their mass.
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A 1.4-kg physics textbook is initially at rest on a steel table. The textbook is then pushed with a constant force of 6.0 N. Friction with a magnitude of 3.0 N is exerted on the moving book by the surface of the table. Determine the final velocity of the textbook after it has been pushed 1.0 meter across the table.
The final velocity of textbook upon being pushed is 0.64 m/s. Thus, [tex]v_{f} = 0.64 m/s[/tex].
Given mass of the textbook, m = 1.4 kg
External force applied to push textbook, F = 6.0 N
Frictional force exerted on book, f = 3.0 N
Initial velocity of textbook, u = 0
Since, The external force applied on the object is more than the total limiting friction exerted on book. Hence, the object moves and friction become Kinetic Friction.
Therefore, F-f = ma
6 - 3 = 1.4 * a
[tex]a= \frac{3}{1.4}[/tex]
[tex]a = 2.1 m/s^{2}[/tex]
Now, to find final velocity of textbook
[tex]v^{2} = u^{2} + 2as[/tex]
where v = final velocity
u = initial velocity
a = acceleration
s = distance travelled by textbook
[tex]v^{2} = 0 + 2*2.1*0.1[/tex]
[tex]v^{2} = 0.42[/tex]
v = 0.64 m/s
Hence, Final velocity of textbook after crossing 1.0m of distance is 0.64m/s.
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NEED ANSWER BADLY
the strength of a gravitational pull ______ as the distance between two objects ______.
The strength of a gravitational pull increases as the distance between two objects decreases. This is why you experience less gravity at Everest mountain than the sea level.
What is gravity?Gravity is an attractive force between two different objects, which is based n the weight and mass (i.e. physical features) of such objects. Newton developed the law of Gravity by observing the movement of different objects such as apples when they down to the ground from trees.
The attractive gravity forces are also inversely proportional to the distance square between the object subject to this force, thereby gravity is a force that decreases in longer distances regardless of other physical features of such objects and or celestial bodies.
Therefore, we can conclude that gravitational forces are well known to increase as the distance is minor and therefore this value is associated with the separation between objects.
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on an icy day your worry about parking your car in a driveway
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS Which statement is true about the relationship between energy and temperature?
A. As energy increases, temperature also increases
B. As temperature increases, energy remains the same.
C. As energy increases, the temperature remains the same.
D. As energy increases, temperature decreases.
Answer:
A
Explanation:
because both energy and temperature ️ increase both are related.
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
A liquid has a mass of 25 grams (g) and a volume of 10 milliliters (mL). What is the density of the liquid?
A. 4.0 g/ml
B. 0.4 g/ml
C. 2.5 g/ml
D. 250 g/ml
Answer:
C. 2.5 g/ml
Explanation:
Divide mass by volume
shows three ropes tied together in a knot. one of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force.
According to the parallelogram rule, if two vectors are placed with the same initial point and then completed into a parallelogram, the directed diagonal that begins at the same position as the vectors equals the sum of the two individual vectors.
What is a parallelogram, exactly?A quadrilateral with opposite sides that are parallel and equal is known as a parallelogram. The interior opposite angles of it are equal. Additionally, the transverse angles on the same side must add up to 180 degrees or be complementary to one another.
What do formula and parallelogram mean?A unique variety of quadrilateral in which the opposing sides are parallel and equal is known as a parallelogram. The length of each side added together makes up a parallelogram's perimeter, which may be computed using the following formula: Perimeter is equal to 2(a + b), where a and b are the parallelogram's two sides.
What is a parallelogram's primary characteristic?In a parallelogram, the opposing sides are parallel to one another and have equal measurements. In a parallelogram, the opposing angles are equal. A parallelogram's internal angles add up to 360 degrees. A parallelogram's subsequent angles must be supplementary (180°).
What are the parallelogram theorems?There are several related theorems, such as opposite sides are congruent, opposite angles are congruent, a parallelogram's diagonals bisect one another, and rectangles are parallelograms with congruent diagonals.
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The density for manganese is 7.47 g/cm3. What would be the mass of a 40 cm3 piece of manganese?
Answer:
298.8g
Hope this helps! :)
first find the direction of the magnetic field at wire 2 due to wire 1 (using the right-hand rule). next, find the direction of the force on wire 2 due to this magnetic field. the force on a particle with charge qqq moving with velocity v⃗ v→v vec in a magnetic field b⃗ b→b vec is f⃗
1) Magnitude of the magnetic field equals (permeabilityoffrespace) (currentmagnitude)
2π(distance)
B = μ02πr
Developing the Formula
B = denotes the strength of the magnetic field in Tesla (T)
The permeability of open space (4107Tm/A) is shown by the symbol 0
Electric current strength is expressed as I in terms of amperes (A)
R stands for the meters-long distance (m)
2) the magnetic force per unit length of wire in a uniform field is
F/l =IB sinθ .
force on a length l
current I
uniform magnetic field B ,
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A hoop of radius 0.06m starts from rest and rolls down a slope without sliding. find its linear and angular speed when it reaches sa point of 0.50m vertically lower than the starting point
The linear speed is √5 m/s and the angular speed is √5/0.06 rad/s.
We need to know about the conservation of energy to solve this problem. The energy can not be created or destroyed, the only way is to change to another form. It can be written as
Ei = Ef
where Ei is initial energy and Ef is the final energy
From the question above, we know that
R = 0.06 m
h = 0.5 m
The playground slide is converting the potential energy from height to kinetic energy. Hence,
Ei = Ef
PE = KE trans + KE rot
m . g . h = 1/2 . m . v² + 1/2 I . ώ²
m . 10 . 0.5 = 1/2 . m . v² + 1/2 m.R² . ώ²
5 = 1/2(v² + R² . ώ²)
10 = (v² + R² . v²/R²)
2v² = 10
v = √5 m/s
v = ώ . R
√5 = ώ . 0.06
√5 = ώ . 0.06
ώ = √5/0.06 rad/s
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6.0-μf capacitor is connected in series with a 5.0 mω resistor, and this combination is connected across an ideal 15-v dc battery. what is the current in the circuit when the capacitor has reached 20% of its maximum charge?
Applied voltage across the capacitor is , Vo = 15 v
Capacitance , C = 6 × 10-6 F
Resistance in the circuit , R = 5 M.ohm = 5 × 106 ohm.
• Maximum charge in the capacitor is,
Q = CVo = (6×10-6 F)×(15 v) = 90 × 10-6 c
20% of maximum charge Q is, q = 0.2 ×(90×10-6) c
q =18×10-6 c.
when charge is 20% of maximum charge , voltage across the capacitor is,
V = q/C
V = (18 × 10-6 c)/(6 × 10-6 F) = 3 v
• At that time , voltage of the battery is Vo = 15 v
Voltage across the capacitor is , V = 3 v
Resistance in the circuit, R = 5 × 106 ohm
So, applying ohm's law :
Current in the circuit, I = (Vo - V)/R
> I = (15 - 3)/(5×106) A
> I = 2.4 × 10-6 A = 2.4 \muA
The current in the circuit is 2.4 \muA .
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What do you mean by mechanical advantage of lever is 4. Please help me
Answer:
MA of a simple machine is 4. It means that load overcome is 4 times more than effort used in the machine. This machine can multiply force 4 times the effort used.
why you cannot use the acceleration equation for an object that changes direction
Answer: The proportionalities expressed by Newton's universal law of gravitation are represented graphically by the following illustration. Observe how the force of gravity is directly proportional to the product of the two masses and inversely proportional to the square of the distance of separation.
Explanation: I hope this helps : )
A dropped object reaches 88.2m/s in its fall. How long did it take to reach this speed?
The time taken for the object to reach its highest speed is 9 seconds.
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial position to the final position.
The time taken for the object to reach its maximum or highest speed is calculated as follows;
v = u + gt
where;
v is the final velocity of the rock at the highest pointu is the initial velocity of the rockg is acceleration due to gravityt is time of motionThe initial velocity of the object is zero, u = 0
v = u + gt
v = 0 + gt
v = gt
t = v/g
t = (88.2 m/s) / (9.8 m/s²)
t = 9 seconds
Thus, we can conclude that time from the initial position of the object to the final position of the object is 9 seconds.
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a 1.45 kg falcon catches a 0.159 kg dove from behind in midair. what is their velocity (in m/s) after impact if the falcon's velocity is initially 23.4 m/s and the dove's velocity is 9.33 m/s in the same direction? (enter the magnitude.)
The velocity of the falcon and dove in m/s after the impact is 21.95 m/s.
Using the data given,
Mass of falcon m₁ = 1.45kg
Mass of dove m₂ = 0.159kg
Initial speed of the falcon x₁ = 23.4m/s
Initial speed of the dove, x₂ = 9.3m/s
It is necessary to find the final velocity after the impact. When the falcon catches the dove, it will becomes the case of inelastic collision. The conservation of momentum will be :
m₁x₁ + m₂x₂ = (m₁ + m₂)V
V = m₁x₁ + m₂x₂/(m₁ + m₂)
V = 1.45*23.4 + 0.159*9.33/1.45+0.159
V = 33.93 + 1.483/1.613
V = 35.413/1.613
V = 21.95
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write the equation used to calculate required fastener torque as a function of desired preload and bolt size. then, explain how fastener grade and tpi affect the required preload.
The equation used to calculate required fastener torque as a function of desired preload and bolt size is τ = K D [tex]F_{i}[/tex].
τ = K D [tex]F_{i}[/tex]
[tex]F_{i}[/tex] = σ[tex]_{t}[/tex] * A[tex]_{t}[/tex]
σ[tex]_{t}[/tex] = 0.9 * σ[tex]_{y}[/tex]
τ = Torque
K = Torque co-efficient
D = Nominal bolt diameter
[tex]F_{i}[/tex] = Desired preload
σ[tex]_{t}[/tex] = Tensile stress
A[tex]_{t}[/tex] = Tensile stress area
σ[tex]_{y}[/tex] = Ultimate yield strength
As the fastener grade increases, the required preload also increasesAs the TPI ( Threads per Inch ) increases, the required preload also increasesTherefore, the equation used to calculate required fastener torque as a function of desired preload and bolt size is τ = K D [tex]F_{i}[/tex].
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1. If the odometer on a car reads 100 km at the start and 155 km at the end of a trip, what
distance did the car travel on the trip?
2. What would be the average speed of the car in the question above if the trip took half an
hour (30 minutes)?
1. 55 km is distance the car travel on the trip.
Net distance = final distance - initial distance = 155 - 100 = 55km.
2. 110 km/hr is would be the average speed of the car in the question above if the trip took half an hour.
Average speed = distance travelled/ time = 55km/0.5hr
Hence, average speed = 110km/hr
The average speed is the full distance traveled with the aid of the object in a particular time interval. The average speed is a scalar quantity. it is represented via the significance and does not have path. average pace is calculated by way of dividing distance through time.
Speed is the directional pace of a object in movement as a demonstration of its price of alternate in role as discovered from a selected frame of reference and as measured by way of a particular trendy of time.
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please answer this question! i am new to physics and i need help please. thanks!!!
Numerous optical devices, including telescopes, microscopes, binoculars, spectroscopes, and periscopes, among others, employ the phenomenon of complete internal reflection of light.
A diamond's brilliance results from complete internal reflection.
Why is it crucial to fully reflect within?Total internal reflection, which is used in polarising prisms, is significant in fibre optics. Portion of the incoming light will be transmitted and part will be reflected at any incidence angle below the critical angle. The indices of refraction can be used to compute the normal incidence reflection coefficient.
Total internal reflection is a widely used technique in fibre optics. It is used in communications to carry cable TV, internet, and telephone signals. The use of light transmission through fibres is known as fibre optics.
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since we are only concerned about the acceleration due to the collision, why is it important to zero the dynamic sensor while stationary on the track?
Zero the dynamic sensor is important because of its sensitivity, resolution, range, zero drift and repeatability.
Dynamic applications describe cyclical, quick measuring processes like those frequently seen in presses. In dynamic applications, it's crucial to tare the zero point at regular intervals to prevent the measuring signal from wandering.
The input for automated zero point adjustments is provided by the strain transducers. The PLC can be used to start the zero point adjustment. The signal is reset (pulled to zero) and the zero point adjustment is performed if the input is pulled to 3 V.
The sensor is in measuring mode if the input is open. Instead of using "Active-Low-Levels," the reset logic is also possible with "Active-High-Levels".
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Select the correct answer.
Read the excerpt from paragraph 2.l
(2)... And we celebrate how, with their overwhelming vote to confirm Justice Sotomayor, the United States Senate
Republicans and Democrats tore down yet one more barrier and affirmed our belief that in America, the doors of
opportunity must be open to all.
Why is it relevant to include the detail that both Democrats and Republicans approved Sonia Sotomayor's nomination?
-
O A.
It confirms the ideal of American principles when people from different groups join together for a common
goal.
OB.
It affirms that they all knew her exceptional life story and therefore wanted to help her fulfill her aspirations.
O C.
It emphasizes that Sonia Sotomayor inspired so many people across America with her extraordinary
achievements.
O D.
It draws a parallel between the founding fathers and the Senators who all were committed to breaking down
barriers.
Answer:
the answer is A
Explanation:
I took the test
Answer:
A
Explanation:
A baseball with a mass of 145 g is pitched to a batter. The ball accelerates at 10 m/s?. What is the net force?
Answer:
1.45 N
Explanation:
Newton's Second Law: F=ma
Convert 145 grams to kilograms
0.145kg*10m/s^2
1.45 N
What’s The difference between oxygen and water.
100 POINTS
how the solar system was formed. Use theterms hypothesis observation, and nebula.
Answer: The nebular theory states that our solar system formed from the gravitational collapse of a giant interstellar gas cloud—the solar nebula. – (Nebula is the Latin word for cloud.) Kant and Laplace proposed the nebular hypothesis over two centuries ago.
Explanation:
a 1.83 kg book is placed on a flat desk. suppose the coefficient of static friction between the book and the desk is 0.562 and the coefficient of kinetic friction is 0.305 .
Answer: the force required to begin moving the book is 7.93 N.
Explanation:The concepts required to solve this problem is forces.
Initially, calculate the force required to begin moving the book by using the expression for the static frictional force. Later, calculate the force required to keep the book moving by using the expression for the kinetic friction.
Here,
is the coefficient of static friction and N is the normal force.
Here,
is the coefficient of kinetic friction and N is the normal force.
Step: 1
The expression for the force required to begin moving the book is,
The normal force acting on the book ,
Substitute mg for N in the equation
.
Substitute 0.442 for
, 1.83 kg for m,
for g in the above equation.
Therefore, the force required to begin moving the book is 7.93 N.
Explanation:
The external force is required to move the book on the surface of the desk is known as static frictional force.
The forces acting on the book along the y direction is,
By using Newton’s second law of motion the net forces acting along y direction is,
As the book is along the x direction means that there is no motion of the book along the y direction. Hence the acceleration of the book is equal to zero.
Now the normal force is equal to the weight of the book.
Hint:
Calculate the force required to keep the book moving by using the expression for the kinetic friction.
Step: 2
The force required to keep the book moving ,
The normal force acting on the book ,
Substitute mg for N in the equation
.
Substitute 0.240 for
, 1.83 kg for m,
for g in the above equation.
Therefore, the force required to keep the book moving is 4.30 N.
The kinetic frictional force acts on the object if the object is in motion.
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If a 1.83 kg book is placed on a flat desk, 10.089 N of force is required to start moving the book. If the book and desk experience static friction of 0.442 and kinetic friction of 0.240, respectively.
A force that acts between moving surfaces is referred to as kinetic friction. A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' coefficient of kinetic friction will determine how much force is applied.
The book needs force to move
Ff = N * s Ff = (1.83 kg)(9.81 m/s2)(0.562)=10.089 N
The book needs force to continue.
Ff = (1.83 kg) (9.81 m/s2) (0.305) = 5.47 N
The force that prevents a sliding object from moving is known as friction. Everything has kinetic friction, which prevents two or more objects from moving in unison. In contrast to how an object would like to slide, the force operates in that direction. When a car needs to stop by kinetic friction, we engage the brakes, and that's when friction is created. Again, friction is to blame when one wishes to stop abruptly while walking. however, when we are forced to stop in the middle of a puddle.
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in coming to a stop, an old truck leaves skid marks 45 m long on the highway. assuming a deceleration of 6m/s2 , estimate the speed of the truck just before braking.
Deceleration is the slowing down of the body as it moves away from its starting place. Negative acceleration is a common term for deceleration.
The kinematic equation was used to get the truck's estimated speed right before braking as
v2 = u2 + 2*acceleration *displacement.
Consequently,
[2*(45.0 m)*(6 m/s)]
= √540 = 23.24 m/s
The velocity, or v, of an object is the rate at which its direction is changing as seen from a particular angle and as measured by a particular unit of time.
The rates at which an object's velocity with respect to time changes are known as accelerations and are stated as constants. Whenever a force is operating on an object, it will always accelerate in a direction that is parallel to that force.
The length of a displacement vector is the smallest distance between the starting and ending coordinates of a moving point P.
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Salmon often jump waterfalls to reach their
breeding grounds.
Starting downstream, 1.54 m away from a
waterfall 0.643 m in height, at what minimum
speed must a salmon jumping at an angle of
35.5° leave the water to continue upstream?
The acceleration due to gravity is 9.81 m/s².
Answer in units of m/s.
The minimum speed that a salmon jumps at an angle of 35.5 degree is 43.3 m/s to leave the water to continue upstream.
What is speed and how it calculated out to be 43.3 m/s ?
First draw the picture of initial velocity , Looking at the x direction x = vxt but vx= vcos 35.4 degree, so x = vcos(31.4 degree) .t= 2.73/ vcos(35.4 deg) is the time to reach and continue to upstream, given acceleration due to gravity 9.8m/s^2.In the y direction del y = Vyt + 1/2 at^2 but Vyi = Vsin(35.4 deg) (2.73/vcos(31.4 deg).So using the equation V^2 = 43.1765 or we can get the final answer as 43.3 m/s to be the speed that the salmon jumps at angle of 35.5 degree leave the water to continue upstream.Speed is a quantity which represents distance per unit time.To know more about speed visit:
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a 7li nucleus with a charge of 3e and a mass of 7 u and a proton with a charge of e and a mass of 1 u are both moving in a plane perpendicular to a magnetic field . the two particles have the same monentum. the ratio of the radius of curvature of the path of the proton (rp) to that of the 7li nucleus (rli) is
Kinetic energy is transformed into potential energy. The charges on the nuclei of lithium and thorium, which have Z=3 and Z=90, respectively, are 3e and 90e.
Potential energy is created by converting kinetic energy (we use the classical formula since v is significantly less than c). Lithium has a Z=3 and thorium has a Z=90, meaning that the charges on each of those nuclei are 3e and 90e, respectively. The "e" in the kinetic energy unit MeV is removed by manipulating the terms, and the other factor of e is set to be 1.610 19 C.
We note that K= 1/4π0 can be written as 8.99*109V. m/C. Thus, from energy conversation, we have
Kinetic Energy=U = r=kq1q2/K=
(8.99x10^9 v.m/C)(3x1.6x10^-19)(90e)/3.00x10^6ev
which yields r= 1.3x10^-13 m (or about 130 fm).
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