If you stretched a rubber band so that it had 100-J of potential energy, with how much kinetic energy will the rock leave the slingshot?
Answer:
less than 100-J
Explanation:
The potential energy held in the stretched rubber band is turned into kinetic energy of the rock when it is released, assuming that the rubber band is used to launch a rock from a slingshot.
The mass of the rock and the effectiveness of the slingshot in transmitting the energy from the rubber band to the rock are two elements that affect how much kinetic energy the rock will have. To estimate the kinetic energy, though, we may make certain generalizations.
Assume that no energy is lost as a result of friction or air resistance and that the entire potential energy held in the rubber band is transformed into the kinetic energy of the rock. In this hypothetical situation, the potential energy of the stretched rubber band would be equal to the kinetic energy of the rock.
As a result, the rock will have 100 J of kinetic energy when it exits the slingshot if the rubber band contains 100 J of potential energy. The actual kinetic energy of the rock would be less than 100 J since some energy will be wasted owing to things like friction.
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a rock rolling down a slope from rest covers a distance of 4 m in the first second. What distance will it covers in 3 sec?
Answer: 12 meters
Explanation:
the rate is 4 meters per second
the rock rolled for 3 seconds
4 x 3 = 12
URGENT HELP NEEDED!!!
Two spheres of molten rock, both moving in the positive y-direction, collide in space. One sphere has a mass of 660 kg and is moving at a velocity of 17 m/s. The other sphere has a mass of 970 kg, and is moving at a velocity of 24 m/s. When the two spheres collide, and become one unit, what will be their combined velocity?
21.2 m/s
24.0 m/s
41.0 m/s
20.5 m/s
Answer:
20.5 m/s
Explanation:
As we've discussed, one model of material deformation links stress and strain by a material constant called a modulus. For a material under lengthwise stress (tension or compression), this is Young’s modulus (Y) and the relation may be stated as:
The data below was collected for five different materials using tools which allowed for the direct measurement of the stress and strain. By applying the model above, rank the Young’s modulus for each of these five materials from largest to smallest.
Young’s modulus for each of these five materials from largest to smallest are mentioned below.
What is Young’s modulus?
Many substances lack linearity and elasticity after very minor deformation. Only materials that are linearly elastic are subject to the constant Young's modulus. In this case, the ratio of stress to strain, which corresponds to the material's stress, determines the Young's modulus.
What is data?
Facts such as numbers, words, measurements, observations, or even simple descriptions of objects are grouped together as data. Both qualitative and quantitative data are possible. Qualitative data is information that is descriptive (describes something), whereas discrete data can only take particular values (like whole numbers).
Therefore, Young’s modulus for each of these five materials from largest to smallest are mentioned above.
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two children weigh the same. Will this seesaw balance?
yes they would balance because they have the same weight
Explanation:
hope this helps (:
Since the two children have the same weight, they have to sit at equal distances from the pivot of the seesaw. Then they will balance.
the mechanical advantage of a machine is 4 calculate the force required to lift a load of 100 newtons
The force required to lift a load of 100 newtons using machine with mechanical advantage of 4 is 25 newtons.
What is mechanical advantage?The ratio of output force to the input force is called as mechanical advantage of a machine. In this case, mechanical advantage is given as 4.
As, Mechanical Advantage = Output Force / Input Force
4 = Output Force / Input Force
So, Output Force = Mechanical Advantage x Input Force
Output Force = 4 x Input Force
100 newtons = 4 x Input Force
Input Force = 100 newtons / 4
Input Force = 25 newtons
Therefore, the force required to lift a load of 100 newtons using a machine with a mechanical advantage of 4 is 25 newtons.
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What is the power involved in lifting a 20- kg object 1.0m in 1.0 s?
Answer:
Explanation:
Power=work done/time
work done=force* displacement
force=mass*acceleration due to gravity
Therefore, power= mass*acceleration due to gravity*displacement/time
20*9.8*1/1=196watts
Assume that bone will fracture if a shear stress more than 9.00 × 10^7 N/m^2 is exerted. What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 9.00 cm ? Young’s modulus for bone is 1.8 × 10^10 N/m^2 Answer in units of kN
The area of the bone is 0.785 m². Then the maximum force that can be exerted on the femur bone if the shear stress is 9 × 10⁷ N/m² is 70650 kN.
What is young's modulus ?The Young's modulus of a material is the ratio of its stress to strain. Where stress is the force per unit area and strain be the ratio of change in length to the original length.
given stress s = 9 × 10⁷ N/m²
diameter of the bone d = 9 cm = 0.09 m.
then area = π d²/4
a = 3.14 × (0.09 m )²/4 = 0.785 m².
Stress = maximum force/area
then Fmax = stress × area
Fmax = 9 × 10⁷ N/m² × 0.785 m²
= 70650 kN.
Therefore, the maximum force that can be exerted to the bone is 70650 kN.
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What is the wavelength (in nm) of maximum intensity for a celestial body with a temperature of 50000 K?
The wavelength of maximum intensity for a celestial body with a temperature of 50000 K is approximately 577 nm.
What is wavelength?To find the wavelength of maximum intensity for a celestial body with a temperature of 50000 K, we can use Wien's displacement law, which relates the temperature of an object to the wavelength at which it emits the most radiation. The law is given by:
λ_max = b / T
where λ_max is the wavelength of maximum intensity, b is Wien's displacement constant (2.898 × 10⁻³ m·K), and T is the temperature in Kelvin.
We can convert the temperature of 50000 K to Kelvin by adding 273.15 to get:
T = 50000 K + 273.15 = 50273.15 K
Plugging in the values, we get:
λ_max = (2.898 × 10⁻³ m·K) / 50273.15 K
Simplifying, we get:
λ_max = 5.77 × 10⁻⁸ meters
To convert meters to nanometers, we can multiply by 10⁹:
λ_max = 5.77 × 10⁻⁸ meters × 10⁹ nm/m = 577 nm
Therefore, the wavelength of maximum intensity for a celestial body with a temperature of 50000 K is approximately 577 nm.
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1. A fairground ride consists of a large vertical drum that spins so
fast that everyone inside it stays pinned against the wall when
the floor drops away. The diameter of the drum is 10 m. Assume
that the coefficient of static friction between the drum and the
rider's clothes is 0.15.
a) What is the minimum speed required for the riders so that
they stay pinned against the inside of the drum when the
floor drops away?
b) What is the angular velocity of the drum at this speed?
a) Minimum speed required for the riders so that they stay pinned against the inside of the drum is 18m/s.
b) Angular velocity of the drum at this speed having diameter of the drum is 10 m is 3.6 rad/s
What is Friction ?Friction is a resistance to motion of the object. for example, when a body slides on horizontal surface in positive x direction, it has friction in negative x direction and that measure of friction is a frictional force.
frictional force is directly proportional to the Normal(N).
i.e. [tex]F_{fri}[/tex] ∝ N
[tex]F_{fri}[/tex] = μN
where μ is called as coefficient of the friction. It is a dimensionless quantity.
When a body is kept on horizontal surface, its normal will be straight upward which is reaction of mg. i.e. N=mg.
Given,
Diameter of the drum D = 10m , Radius r = 5m
Coefficient of static friction = 0.15
a) To stay everyone pinned against the wall of drum. Frictional Force must be equal to weight mg which are opposite to each other.
μN = mg ........1)
Centrifugal acceleration = Normal
mv²÷r = N
With this equation 1 becomes
μ[tex]\frac{mv^{2} }{r}[/tex] = mg
v² = rg÷μ
v² = 5m*9.8m/s ÷ 0.15
v² = 326.6
v= [tex]\sqrt{326.6}[/tex] = 18.07 ~ 18 m/s
Hence minimum speed required for the riders is 18m/s.
b) for angular velocity of the drum, V=rω
ω = v÷r
ω = 18m/s ÷ 5m
ω = 3.6 rad/s
hence angular velocity of the drum at 18m/s speed is 3.6 rad/s
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When weight training you should aim to be able to lift the weight ____ to _____ times without strain or injury but with enough resistance to give the muscles a good workout. 1 to 3 30 to 40 8 to 12 Show
I can’t figure it out
Answer:
Explanation: In anyway can you get a better picture just a close picture i cant read it
I = 1/2MR^2 is rolling with a translational speed v along a horizontal surface without slipping. The work required to stop the disk is
A. 1/2 mv^2
B. 1/2mv^2 + 1/2Iw^2
C. 1/2Iw^2
D. 1/2mv^2 - 1/2Iw^2
Answer:
B. 1/2mv^2 + 1/2Iw^2
Explanation:
If the energy released by an electron making a transition from one hydrogen atom orbit to another is 3.02 ✕ 10^−19 J, what is the wavelength (in nm) of the photon?
Answer:
The wavelength of the photon can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 ✕ 10^−34 J s), c is the speed of light (2.998 ✕ 10^8 m/s), and λ is the wavelength.
λ = hc/E = (6.626 ✕ 10^−34 J s) (2.998 ✕ 10^8 m/s) / (3.02 ✕ 10^−19 J) = 656.4 nm
Explanation:
Can someone please teach me how to do this
I need to find the tension in the bottom rope
The solutions for questions A and B are
28.1866N T_1=0 NWhat is tension?Generally, Tension is a physical force that pulls on an object, often tending to stretch it. It is typically measured in units of force per area, such as newtons per square meter (N/m2). Tension is an important concept in mechanics, physics, engineering, and other fields.
(a) T_1=m_1(g-a)
T_1=4.81 (9.8-3.94)
T_1=28.1866N
(b) In freefall
a=g
T_1=m_1(g-g)
T_1=0 N
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Ok so my question is “ blank heat is a measure of how much energy it takes to raise the temperature of a substance.” Help PLEASEE I’m stuck!
Specific heat is a measure of how much energy it takes to raise the temperature of a substance.
What is temperature ?Temperature is defined as the measurement of degree of amount of hotness or coldness of a body.
Here,
Specific heat is a measure of how much energy it takes to raise the temperature of a substance. More clearly, specific heat is the amount heat required to raise the temperature of unit mass through one degree.
If an amount of heat Q is given to a body of mass m and ΔT is the rise in temperature. Then specific heat capacity,
C = Q/mΔT
Its unit is Jkg⁻¹K⁻¹
Specific heat of a substance is a constant but it changes slightly with change in temperature.
The rise in temperature is small for body having large specific heat.
Hence,
Specific heat is a measure of how much energy it takes to raise the temperature of a substance.
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What is the velocity of a 1,000.0 kg car if its kinetic energy is 200 kJ?
Answer: 20
Explanation:
A person can jump a horizontal distance of 1.31 m on the Earth. The acceleration of gravity is 12.3 m/s^2.
a) How far could he jump on the Moon, where the free-fall acceleration is 0.258g Answer in units of m.
b) Repeat for Mars, where the acceleration due to gravity is 0.293g. Answer in units of m.
Answer:
a) On the Moon, where the acceleration due to gravity is 0.258g:
First, we need to find the acceleration due to gravity on the Moon:
g_Moon = 0.258g_Earth
g_Moon = 0.258(12.3 m/s^2)
g_Moon = 3.17 m/s^2
Now we can use the range formula for projectile motion to find the distance he could jump:
R = (v^2/g) sin(2θ)
Assuming the same initial velocity and angle of jump, we can rearrange the formula to solve for R:
R = (v^2/g) sin(^2/g_Earth) sin(2θ) * (g_Moon/g_Earth)
R = (1.31 m)^2/ (212.3 m/s^2) * sin(2θ) * (3.17 m/s^2) / (12.3 m/s^2)
R = 0.191 m
Therefore, he could jump approximately 0.191 m on the Moon.
!
a) On the Moon, where the acceleration due to gravity is 0.258g:
First, we need to find the acceleration due to gravity on the Moon:
g_Moon = 0.258g_Earth
g_Moon = 0.258(12.3 m/s^2)
g_Moon = 3.17 m/s^2
Now we can use the range formula for projectile motion to find the distance he could jump:
R = (v^2/g) sin(2θ)
Assuming the same initial velocity and angle of jump, we can rearrange the formula to solve for R:
R = (v^2/g) sin(
network error
^2/g_Earth) sin(2θ) * (g_Moon/g_Earth)
R = (1.31 m)^2/ (212.3 m/s^2) * sin(2θ) * (3.17 m/s^2) / (12.3 m/s^2)
R = 0.191 m
Therefore, he could jump approximately 0.191 m on the Moon.
b) On Mars, where the acceleration due to gravity is 0.293g:
Similarly, we need to find the acceleration due to gravity on Mars:
g_Mars = 0.293g_Earth
g_Mars = 0.293(12.3 m/s^2)
g_Mars = 3.61 m/s^2
Using the same formula and rearrangement as in part a, we can find the distance he could jump on Mars:
R = (1.31 m)^2/ (212.3 m/s^2) * sin(2θ) * (3.61 m/s^2) / (12.3 m/s^2)
R = 0.223 m
Therefore, he could jump approximately 0.223 m on Mars.
If a 40 N block is resting on a rough horizontal table with a coefficient of static friction
If a 40 N block is resting on a rough horizontal table with a coefficient of static friction is 12 N.
What is static friction?Static friction is a force that resists the motion of two objects that are in contact with each other. It is caused by the forces of attraction between the two objects and is usually greater than the force of kinetic friction. The forces of static friction oppose the movement of the two objects and can be overcome by applying a force greater than the static friction.
The maximum force the block can withstand before it starts to move is 40 N multiplied by the coefficient of static friction.
The coefficient of static friction between the block and the table is determined by the materials of the block and the table and the surface roughness of the table.
If the coefficient of static friction is 0.3, then the maximum force the block can withstand before it starts to move is 40 N × 0.3 = 12 N.
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Q12. Calculate the resistance of a microwave with 5V and a current of 300mA
Answer:
To calculate the resistance of the microwave, we can use Ohm's Law, which states that:
resistance = voltage / current
Substituting the given values into this equation, we get:
resistance = 5V / 0.3A
resistance = 16.67 ohms
Therefore, the resistance of the microwave with 5V and a current of 300mA is 16.67 ohms.
Four students each construct a claim about the gravitational attraction on a probe passing between Mercury and Venus when the planets are nearest in their orbits.
Student W claims that the probe is pulled harder by the planet with the greater mass when halfway between the planets.
Student X claims that the probe is pulled harder by the planet nearest the Sun when halfway between the planets.
Student Y claims that the probe is pulled harder by the planet with the greater mass anywhere between the planets.
Student Z claims that the probe is pulled harder by the planet nearest the Sun anywhere between the planets.
Which student made a claim that is best supported by evidence from the table and diagram?
Answer:
Without the table and diagram, it's difficult to provide a specific answer. However, in general, the gravitational attraction between two objects depends on their masses and the distance between them. The force of attraction is stronger when the masses are greater and when the objects are closer together.
Based on this understanding, we can evaluate the claims made by each student:
Student W claims that the probe is pulled harder by the planet with the greater mass when halfway between the planets. This claim is partially supported by the evidence, since the gravitational force is stronger when the masses are greater. However, it doesn't take into account the distance between the planets and the probe.
Student X claims that the probe is pulled harder by the planet nearest the Sun when halfway between the planets. This claim is not supported by the evidence, since the distance between the probe and each planet is not specified.
Student Y claims that the probe is pulled harder by the planet with the greater mass anywhere between the planets. This claim is partially supported by the evidence, since the gravitational force is stronger when the masses are greater. However, it doesn't take into account the distance between the planets and the probe.
Student Z claims that the probe is pulled harder by the planet nearest the Sun anywhere between the planets. This claim is not supported by the evidence, since the distance between the probe and each planet is not specified.
Overall, Student W and Student Y made claims that are partially supported by the evidence, but neither claim takes into account the distance between the planets and the probe. Therefore, it's difficult to determine which claim is best supported by the evidence without more information.
Explanation:
Will sound move faster or slower in water? Why
Answer:
In water, the particles are much closer together, and they can quickly transmit vibration energy from one particle to the next. This means that the sound wave travels over four times faster than it would in air, but it takes a lot of energy to start the vibration.
Explanation:
Answer:
slower as it is more dense in water
Explanation:
3. A shaft of 100 mm diameter rotates at 120 rad/s in a bearing 150 mm long. If the dial clearance is 0-2 mm and the absolute viscosity of the lubricant is 20 kg/ms find the power loss in the bearing.
The power loss in the bearing is 1.36 W shaft of 100 mm diameter rotates at 120 rad/s in a bearing 150 mm long.
What is viscosity?The viscosity of a fluid is a measure of its resistance to flow. A fluid with a high viscosity resists movement because its molecular structure causes a lot of internal friction.
The viscosity of a fluid is a measure of its resistance to flow. A fluid with a high viscosity resists movement because its molecular structure causes a lot of internal friction.
To calculate the power loss in the bearing, we can use the formula:
P = F × V
To calculate the frictional force, we can use the formula:
F = μ × A × P
Where μ is the coefficient of friction, A is the area of the bearing, and P is the pressure of the lubricant.
First, we need to calculate the pressure of the lubricant:
P = μ × Viscosity × (V/D)
Where D is the diameter of the shaft.
P = (0.02) × 20 × (120/0.1) = 480 N/[tex]m^2[/tex]
Next, we can calculate the area of the bearing:
A = π × (D/2)^2 × L
Where L is the length of the bearing.
A = π × (0.1/2)^2 × 0.15 = 0.001178 [tex]m^2[/tex]
Now we can calculate the frictional force:
F = μ × A × P = (0.02) × 0.001178 × 480 = 0.0113 N
Finally, we can calculate the power loss:
P = F × V = 0.0113 × 120 = 1.36 W
Therefore, the power loss in the bearing is 1.36 W.
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What type of wave is:
a) Light
b) Sound
Answer:
Explanation:
a) transverse
b)longitudinal waves
a mass is vibrating on a string. its frequency describes ( )
Answer:
The frequency of a mass vibrating on a string describes the number of complete cycles of vibration that occur per unit of time, usually measured in hertz (Hz).
Explanation:
Urgent!!!
Two students are testing out the law of conservation of momentum, by throwing balls of clay so that they collide. One student throws a 535g ball north at 12.4 m/s. The other throws a 725g ball south at 6.4 m/s. When the two balls of clay collide and form a single unit, what is the velocity of the combined unit?
1.86 m/s south
8.74 m/s north
1.86 m/s north
8.74 m/s south
Answer:
To solve this problem, we need to use the law of conservation of momentum, which states that the total momentum before a collision is equal to the total momentum after the collision.
The momentum of an object is given by its mass multiplied by its velocity, so we can calculate the initial momentum of each ball before the collision:
- The northbound ball has a momentum of 535g * 12.4 m/s = 6644 g*m/s north
- The southbound ball has a momentum of 725g * (-6.4 m/s) = -4640 g*m/s north (note that the negative sign indicates southward direction)
Adding these momenta together, we get a total momentum of 6644 g*m/s - 4640 g*m/s = 2004 g*m/s north.
After the collision, the two clay balls stick together and move as a single unit. Let's call the mass of the combined unit "M" and its velocity "v". By conservation of momentum, we know that the total momentum of the combined unit after the collision must be the same as the total momentum before:
M * v = 2004 g*m/s north
To solve for v, we need to figure out the mass of the combined unit. This is simply the sum of the masses of the two original balls:
M = 535g + 725g = 1260g
Substituting this into the equation above, we get:
1260g * v = 2004 g*m/s north
Solving for v, we get:
v = 1.59 m/s north
Therefore, the combined unit moves 1.59 m/s north after the collision.
However, the answer choices given in the problem are in meters per second, not meters per second north/south. To convert the answer, we need to add a direction. Recall that the northbound ball had a positive velocity and the southbound ball had a negative velocity. Since the combined unit is moving northward, we know its velocity must be positive.
Therefore, the final answer is 1.59 m/s north, which corresponds to answer choice C.
A car accelerates uniformly from rest to a speed of 40.0 mi/h in 13.0 s.
(a) Find the distance the car travels during this time.
m
(b) Find the constant acceleration of the car.
m/s2
Answer:
b
Explanation:
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Kyle is blowing leaves with a leaf blower. He lifts the 1600 newton leaf blower at a
distance of 6 meters. What are the joules of work being put out?
PLS HELP <3
Answer:
To calculate the work being done, we need to use the formula:
work = force x distance x cos(theta)
where force is in newtons, distance is in meters, and theta is the angle between the direction of the force and the direction of the movement.
In this case, the force is the weight of the leaf blower, which is 1600 N, the distance is 6 meters, and the angle between the force and the movement is 0 degrees (since Kyle is lifting the leaf blower straight up). So we have:
work = 1600 N x 6 m x cos(0°)
work = 9600 J
Therefore, the joules of work being put out by Kyle are 9600 J.
Explanation:
a charged cloud system produces an electric field in the air near the earth surface. When a particle (q=-2.0x10-9)is acted on by a downward electrostatic force of 3.0x10^-6 N when placed in this field, determine the magnitude of the electric field
The magnitude of the electrical field would be 1.5x10^3 N/C.
Electrical field calculationThe electrostatic force experienced by a charged particle in an electric field is given by the formula:
F = qE
Where F is the electrostatic force, q is the charge of the particle, and E is the electric field strength.
In this case, the electrostatic force acting on the particle is 3.0x10^-6 N and the charge of the particle is -2.0x10^-9 C. So we have:
3.0x10^-6 N = (-2.0x10^-9 C)E
Solving for E, we get:
E = (3.0x10^-6 N) / (-2.0x10^-9 C)
E = -1.5x10^3 N/C
Since the electric field is a vector quantity, its magnitude is always positive. Therefore, the magnitude of the electric field in this case is:
|E| = 1.5x10^3 N/C
So the magnitude of the electric field is 1.5x10^3 N/C, directed downward.
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A hockey puck with a mass of 0.171 kg slides over the ice. The puck initially slides with a speed of 5.65 m/s, but it comes to a rough patch in the ice which slows it down to a speed of 3.05 m/s.
How much energy is dissipated as the puck slides over the rough patch?
To answer the question we have, 1.93401 J of energy is lost when the puck travels over the uneven surface.
What is the easiest way to define energy?Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one kind to the other before employing it to accomplish tasks, making western civilisation possible.
Hockey weighs 0.171 kg.
Starting speed: 5.65 m/s
Ultimately, the speed was 3.05 m/s.
We must determine how much kinetic energy was lost on the tough patch.
[tex]E_{d}=\frac{1}{2} v^2_{2} -v^2_1[/tex]
Where, m = mass
v₁ = Initial velocity
v₂ = Final velocity
Put the value into the formula
[tex]E_{d}=\frac{1}{2}[/tex] × 0.171 × [tex](3.05^2 - 5.65^2)[/tex]
= 1.93401 J energy is dissipated as the puck slides over the rough patch.
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