Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t², the instantaneous velocity when t=4 is -75ft/s.
What is the instantaneous velocity when t=4?Given that;
Initial velocity = 45ft/sHeight in feet after t seconds is given by y = 45t - 15t² Instantaneous velocity = ?First, we determine the derivative of y = 45t - 15t²
y' = (1)45 - (2)15t
y' = 45 - 30t
We substitute in t = 4
y' = 45 - 30t
y' = 45 - 30(4)
y' = 45 - 120
y' = -75ft/s
Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t², the instantaneous velocity when t=4 is -75ft/s.
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True or false? the electric field produced by a uniform, infinite plane of charge does not depend on the distance from the plane.
True, the electric field produced by a uniform, infinite plane of charge does not depend on the distance from the plane.
What is electric field?Electric field is the region of space at which electric force is felt.
E = kq/r²
where;
r is the distance of the chargeat infinite plane, r → ∞, and E = 0
Thus, the electric field produced by a uniform, infinite plane of charge does not depend on the distance from the plane.
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What is the main difference between a longitudinal wave and a transverse wave? a longitudinal wave always travels faster than a transverse wave. a longitudinal wave does not need a medium to travel through. a transverse wave is made of particles that move perpendicular to the motion of the wave. a transverse wave always carries more energy so that it can travel through empty space.
In a longitudinal wave, the propagation of energy is in the direction of the motion, while in a transverse wave the propagation of energy is perpendicular to the direction of motion.
What is longitudinal wave and Transverse wave?Longitudinal wave is a wave which moves in the direction from where it was started. It has a compression (increased intensity) of the medium particles and a rarefaction ( reduced intensity).
Transverse wave is wave that travels perpendicular or at right angles to the direction from where it was started.
The main differences between longitudinal wave and Transverse wave are:
Transverse wave, the medium moves vertically up and down while in the longitudinal wave, the medium moves left to right.Transverse wave has a crest and a trough while the longitudinal waves have a compression and rarefaction.Transverse waves don't have a pressure variation , longitudinal waves have a pressure variation.Transverse waves can only be propagated in solids and on the surfaces of liquids, Longitudinal waves can be propagated in solids, liquids and gases.Transverse waves don't change in density throughout the medium, longitudinal waves have a change in density throughout the medium.Therefore,
The propagation of energy is in the direction of the motion, while in a transverse wave the propagation of energy is perpendicular to the direction of motion.
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I turn a glass upside down, trap the air in it by putting it in water, and then i take the glass down to 10 metres/33 feet. The air space would
The air space would be half the size it was at the surface.
What is airspace?It should be noted that airspace means the portion of the atmosphere controlled by a country that's above its territory.
Based on the information given, the The air space would be half the size it was at the surface.
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8. in a hall experiment, a current of 25 a is passed through a long foil of ag, which is 0.1 mm thick and 3mm long. calculate the hall voltage produces across the width by a flux of 1.4 w/m2. if the conduction of ag is 6.8x10mho/m. estimate the mobility and hall coefficient.
The mobility and hall coefficient willl be 57.7 ×10⁻⁴ and 29.41 ×10⁻⁶ v.
What is electric current?Electric current is defined as the ratio of the charge flow in a given time interval. It is denoted by I. It has the unit is ampere.
Given data;
Electric current,I= 25 A
Thickness = 0.1 mm
Length = 3 mm
Flux = 1.4 w/m²
The charge density is found as;
[tex]\rm \rho =- \frac{1}{R_H} \\\\ \rho = 0.119 \times 10^{11} C/m^3[/tex]
The value of the hall voltage is;
[tex]\rm V_H = BVd \\\\ V_H = B \frac{I}{\rho dt} d \\\\ V_H = \frac{BI}{\rho t } \\\\ V_H = \frac{0.14 \times 25 }{0.119 \times 10^{11} \times 0.1 \times 10^{-3}} \\\\ V_H = \frac{3.5 }{0.119 \times 10^7} \\\\ V_H = 29.41 \times 10^{-6} \ v[/tex]
The mobility of electrons is;
[tex]\rm \mu_e = \frac{\rho}{n_e}\\\\ \mu_e = \frac{6.848 \times 10^7}{13.5 \times 10^{-30}\times 1.607 \times 10^{-19}} \\\\ \mu_e = 57.7 \times 10^{-4}[/tex]
Hence the mobility and hall coefficient willl be 57.7 ×10⁻⁴ and 29.41 ×10⁻⁶ v.
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which of the following would increase
Answer:
1 and 3
Explanation:
1 and 3
Increasing coils increases strength
COOLING the wire would increase current flow and strength of magnet
Adding an iron core will definitely increase the strength of the electromagnet
(1) Increasing the number of coils (✔)
A racing car has a mass of 1910 kg. The acceleration of gravity is 9. 8 m/s 2. What is its kinetic energy if it has a speed of 109 km/h? answer in units of j.
you plan to use a slingshot to launch a ball that has a mass of 0.025kg
From the calculations, the force required is 0.437 N.
What is force?The term force is defined a the product of mass and acceleration. The force is required to move the sling the required distance.
If mass = 0.019 kg and acceleration = 23 m/s2 then we know that F = ma
It then follows that the required force is;
F = 0.019 kg * 23 m/s2= 0.437 N
Missing parts
You plan to use a slingshot to launch a ball that has a mass of 0.019 kg. You want the ball to accelerate straight toward your target at 23 m/s2. How much force do you need to apply to the ball?
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Question 16 of 25
Which of the following best describes an alternating current?
A. A circuit that has both series and parallel components
B. Charge that moves in a single direction
C. Charge that jiggles back and forth very quickly
D. A circuit that has only series or only parallel components
SUBMIT
Answer:
it is c
Explanation: i just did it
A car initially traveling at 15.0 m/s accelerates at a constant rate of 4.50 m/s2 over a distance of 45.0 m. How long does it take the car to cover this distance? Show all work leading to the answer including the data, equation, substitution and the final answer with units for full credit.
Answer:
2.24 seconds
Explanation:
xf = xo + vo t + 1/2 at^2
45 = 0 + 15 t + 1/2 (4.5) t^2
2.25 t^2 + 15t - 45 = 0 Quadratic formula shows t = 2.24 seconds
The car takes approximately 2.25 seconds to cover a distance of 45.0 meters under the given conditions of constant acceleration.
Given data:
Initial velocity (u) = 15.0 m/s
Acceleration (a) = 4.50 m/s²
Distance (s) = 45.0 m
We can use the kinematic equation to solve for time (t) when the car covers a certain distance under constant acceleration:
S = ut + 1/2at²
Where:
s = distance
u = initial velocity
a = acceleration
t = time
Plugging in the given values:
45.0 = 15.0t + 1/2 m/s²t²
2.25t² +15t - 45 = 0
t = 2.25sec and -8.92sec
Since time cannot be negative in this context, we discard the negative solution.
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define density and give its SI unit
Answer:
Density is defined as mass per unit volume. its SI unit is: kg/m³
Explanation:
Answer:
Density is defined as mass per unit volume. its SI unit is: kg/m³
Explanation:
from answer above
Newton's second law of motion states that Choose one: A. the force of gravity is proportional to the masses of the two objects and the inverse of the square of the distance. B. the acceleration of an object is proportional to the net force acting on it. C. objects have inertia. D. every action has an equal and opposite reaction.
Answer:
B
Explanation:
compared to other spiral galaxies, the milky way is ____.
The Milky Way, a member of the "Local Group," is different than other galaxies in the universe. First, it is brighter than most galaxies that we have been able to see. Second, the Milky Way is a barred spiral galaxy; unlike typical spiral galaxies, barred spiral galaxies have flat discs in their centers.
Answer:
The Milky Way Galaxy, is a spiral galaxy, meaning that there are multiple arms spiraling in toward the middle of the galaxy. Are there any other galaxies in the universe shaped like the Milky Way Galaxy?
two examples of hydraulic brake
Answer:
1). Brake pedal or lever
2). A pushrod also called an actuating rod
If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will
If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.
What is Buoyancy?Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.
All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.
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two conducting spheres are touched together
Answer:
I think its either A or B. I’m not really sure, don’t listen to me. Read my explanation and it should help you.
Explanation:
When the two conducting spheres are brought together to touch, it is as though they become one single big conductor and the total charge of the two spheres spreads out across the whole surface of the touching spheres. When the spheres are moved apart again, each one is left with half of the total original charge…
X and Y are two identical conducting spheres separated by a distance d. X has a charge of +6µC and Y has a charge of -2µC. The electric force between them is +F (i.e. attractive). The spheres are touched together and are then returned to their original separation d. What is the new value of the force between them? Any help is greatly appreciated. I assumed that since the net charge should remain the same after, there would be no change in the value of the force, but the answer scheme gives the answer as -F/3…
Perform the following mathematical operation and report answer to the correct number of significant figures 143.6 divided by 21.2
The answer to the correct number of significant figures is 6.774.
What is quotient?When a number(big) divided smaller number, the answer obtained greater than zero is called a quotient.
Divide 143.6 ÷ 21.2
143.6/21.2 = 1436/212
=6.77358
The quotient is rounded to three significant figures after decimal
143.6 ÷ 21.2 = 6.774
Thus, the answer to the correct number of significant figures is 6.774
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When two or more capacitors are connected in series across a potential difference.
Explanation:
1. the potential difference across the combination is the algebraic sum of yhe potential differences across the individual capacitors
2. the equivent capacitance of the combination is less than the capacitance of any of the capacitors..
when you rub neutral objects
electrons can be knocked loose from one object and picked up by the other. The object that gains electrons becomes negatively charged, while the object that loses electrons becomes positively charged.
b gained electrons
VR is always greater than MA. why?
Answer:
The mechanical advantage (M.A) of a real machine is always less than its velocity ratio(V.R) because mechanical advantage decreases due to the friction and weight of moving parts of the machine whereas the velocity ratio remains constant.
Sonam and Wangchuk are taking part in a long jump event during their school's annual sports day. Sonam ran a few distances before taking the jump while Wangchuk jumped without running. Who will jump furthest? Justify your answer.
Answer:
Sonam will jump further than wangchuck
A 1-kg block starts sliding up a 30o inclined plane with an initial velocity of 4.00 m/s. How far will the block travel before coming to rest, if the surface is rough and the coefficient of kinetic friction between the block and the ramp is 0.2.
The block will travel 2.038 m before stopping. Newton's third equation of motion is applied in the given problem.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).
it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and acceleration. Mathematically in the different components and balancing the equation gets.Components in the x-direction.
From Newton's third equation of motion;
v²=u²+2as
0 =u²+2(-a)s
u²=2as
u²=2×(2×μg)s
4.00 m/sec = √2×(2 ×0.2 ×9.81 s
16 = 7.848 s
s = 2.038 m
Hence, the block will travel 2.038 m before stopping.
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write a beta decay equation for the
transmutation of a radioactive isotope of Rutherfordium, which has 104 protons
and 183 neutrons.
PLS HELP ASAP!!!!
The beta decay equation for the transmutation of a radioactive isotope of Rutherfordium has been explained above will be,[tex]\rm Re_{104}^{287} + \beta_0^{-1} \rightarrow Re_{104}^{286}[/tex]
What is the rate of decay?The reduction in the number of radionuclides per unit time is the rate of decay.
The beta decay equation for the transmutation of a radioactive isotope of Rutherfordium has 104 protons and 183 neutrons.
Atomic weight = 104+183 = 287
Atomic number = 104
The beta decay equation is;
[tex]\rm Re_{104}^{287} + \beta_0^{-1} \rightarrow Re_{104}^{286}[/tex]
Hence the beta decay equation for the transmutation of a radioactive isotope of Rutherfordium has been explained above.
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Please help: when lorenzo was growing up, his family did not have access to health care. now that he is a father and has access to health care through his work, he wants to make sure he does all he can to promote the health of his own children. how will access to health care help promote a healthier start in his children's lives? how will this promotion of health affect disease prevention for these children? why is it important for lorenzo to establish and implement health maintenance for his family members of all ages? in what ways can he access health services for his entire family?
Answer:
first answer:He can promote healthier start in the children's life by trying to avoid what he encounter when he has no access to health care.
hello i need help with this!!
Answer:
Yes
Explanation:
If lamp A burnt out there would still be a wire above it that connects lamp B and C to the power source
give two examples of contact force and non contact force
Answer:
Explanation:
The two examples of contact forces are frictional force and applied force. The two examples of noncontact forces are gravitational force and magnetic force.
Gerry is looking at salt under a powerful microscope and notices a crystalline structure. What can be known about the salt sample that Gerry is looking at?
The atoms have spread out from each other.
The atoms are sliding past each other.
The atoms have no particular pattern.
The atoms are vibrating in place.
i know it is c
here is the answer
Assuming a current is flowing, what increases the strength of the magnetic field of a coiled electrical wire?.
Answer:The amount of current flowing
Explanation:this derives from amperes law of maxwell’s equations. It’s easiest to see in differential form. The curl of the magnetic field is proportional to the current plus the change (time derivative) in electric field
5. Calculate the area if the force is 368N and the pressure is 28Pa..
The area would be 13.1429 Meter².
Answer:
[tex]\boxed {Area = 13.14 m^{2}}[/tex]
Explanation:
Formula applied :
[tex]\boxed {Area = \frac{Pressure}{Force}}[/tex]
Given :
Force = 368 NPressure = 28 PaSolving :
Area = 368/28Area = 92/7Area = 13.14 m² (approx.)what is the magnification of a mirror that
Answer:
1.1111111
Explanation:
The formula for magnification (M) as already given is:
M= V/U
Where V is anything that has to do with image . such as image height or image distance And U is anything that has to do with object such as object height or object distance .
Image height (V) = 2m
Object height(U) = 1.8m
M = V/U
M= 2/1.8
M= 1.111111
the mechanical advantage of a simple machine is 3 and its velocity ratio is 4 find its efficiency
Answer:
75%
Explanation:
Efficiency=MA/VR*100
=3/4*100
=0.75*100
=75%
