Answers
When a ball leaves a ramp with a horizontal velocity, it will follow a curved path known as a projectile motion. The ball will move both horizontally and vertically, with the horizontal velocity remaining constant and the vertical velocity changing due to the force of gravity.
At the point where the ball leaves the ramp, it will have a certain height and horizontal distance from the starting point. As it moves through the air, it will travel a certain horizontal distance before landing on the ground at a lower height.
What is projectile motion?Projectile motion is a type of motion in which an object is launched or thrown into the air, and then moves under the influence of gravity and air resistance. In projectile motion, the object follows a curved path called a trajectory, which consists of both horizontal and vertical components.
The motion of a projectile can be described in terms of its velocity, acceleration, and displacement. At the instant of launch, the object has an initial velocity that can be broken down into horizontal and vertical components. The horizontal component of velocity remains constant throughout the motion, while the vertical component changes due to the effect of gravity.
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Related Questions
What type of wave is:
a) Light
b) Sound
Answers
Answer:
Explanation:
a) transverse
b)longitudinal waves
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
Answers
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 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?
Answers
Answer: 12 meters
Explanation:
the rate is 4 meters per second
the rock rolled for 3 seconds
4 x 3 = 12
Can someone please teach me how to do this
I need to find the tension in the bottom rope
Answers
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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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
Answers
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:
Find the distance between two charges according to Coulomb's Law if F
= 460 N
, Q1=2.8×10−5
C
, and Q2=3.1×10−7
C
.
Answers
0.16*10^-3m is the distance between two charges according to Coulomb's Law
How does Coulomb's law work?
Coulomb listed the following characteristics of the electric field for charges in a resting state: Unlike charges draw each other while like charges repel one another. As a result, a positive charge pulls a negative charge toward it while two negative charges resist one another.
We can determine the electric force produced between two electrical charges using Coulomb's Law. In particular, it enables the determination of the direction and strength of electric energy. Coulomb's law states that the force of attraction or repulsion between two charged bodies is inversely proportional to the cube of the distance between them and directly proportional to the product of their charges. It operates on the segment connecting the two charges regarded as point charges.
F = kq1q2/r^2
460 = 9*10^9 *2.8*10^-5 *3.1*10^-7 / r^2
r = sqrt ( 9*10^9 *2.8*10^-5 *3.1*10^-7 / 460)
r = 0.16*10^-3m
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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
Answers
An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if moves 14 units to the left?
Answers
If the object starts at position 12 on a horizontal line with a reference point of 0, then its initial position relative to the reference point is:
Initial position = Reference point + Object's position = 0 + 12 = 12
If the object then moves 14 units to the left, its new position relative to the reference point is:
New position = Initial position - Distance moved to the left = 12 - 14 = -2
Therefore, the position of the object is -2 units from the reference point, which means that it has moved 2 units to the left of the reference point.
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.
Answers
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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How much kinetic energy does a 2.50kg ball traveling at 2.00m/s have?
Answers
Answer:
Explanation:
The formula for kinetic energy is K = 1/2mv^2, where K is kinetic energy, m is mass, and v is velocity.
Substituting the given values:
K = 1/2(2.50 kg)(2.00 m/s)^2
K = 1/2(2.50 kg)(4.00 m^2/s^2)
K = 5.00 J
Therefore, the 2.50kg ball traveling at 2.00m/s has 5.00 J of kinetic energy.
What is the velocity of a 1,000.0 kg car if its kinetic energy is 200 kJ?
Answers
Answer: 20
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.
Answers
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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What is one direct way in which children impact their own acculturation?
Answers
Answer: The direct way that children affect their own acculturation is by peer watching and engagement.
Answer:One direct way in which children impact their own acculturation is through language acquisition. Children who are exposed to a new culture and language at a young age have the opportunity to learn and adopt the new language and cultural norms more easily than adults. As children interact with peers and adults in the new culture and use the new language, they develop their own sense of identity and acculturation, which can be different from that of their parents or other family members. Children may also participate in cultural activities or events, such as holidays or festivals, which further shape their understanding and experience of the new culture. Overall, children can actively participate in and shape their own acculturation process through language acquisition and cultural experiences.
Explanation:
What is the wavelength (in nm) of maximum intensity for a celestial body with a temperature of 50000 K?
Answers
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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I can’t figure it out
Answers
Answer:
Explanation: In anyway can you get a better picture just a close picture i cant read it
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?
Answers
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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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?
Answers
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:
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!
Answers
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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A coil of wire lies flat on a horizontal surface. The coil is carrying current in an anticlockwise sense when the coil is viewed from above. For the points inside the coil, determine the direction of the magnetic field caused by this current. Explain your answer with the aid of labelled diagram.
Answers
When current flows through a coil of wire, it generates a magnetic field. The direction of the magnetic field can be determined using the right-hand rule. If you point your right thumb in the direction of the current flow, your fingers will curl in the direction of the magnetic field.
What is the current flow about?In this case, the current is flowing in an anticlockwise sense when viewed from above. Using the right-hand rule, the direction of the magnetic field inside the coil can be determined to be perpendicular to the plane of the coil, and in a clockwise direction when viewed from above.
The diagram below shows the coil of wire lying flat on a horizontal surface with the direction of the magnetic field labelled:
+-----+-----+-----+-----+-----+
| |
| |
| |
+ X X +
| |
| |
| |
+-----+-----+-----+-----+-----+
Therefore, In this diagram, the X's represent the direction of the magnetic field lines inside the coil. As you can see, the magnetic field lines are oriented perpendicular to the plane of the coil and in a clockwise direction when viewed from above.
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From the foot of a vertical cliff 28.8 m high, a stone was projected vertically upwards so as just to reach the top. Find its velocity of projection. One second after the first stone was projected, another stone was allowed to fall from rest from the top of the cliff. The stones passed one another after a further seconds at a height h m above the ground. Calculate the value of t and of h. (C)
Answers
The velocity of projection of a stone following projectile motion which is projected vertically upwards from the foot of a vertical cliff 28.8n high so as to just reach the top is 23.75 m/s
What is projectile motion?When something (a projectile) is launched towards the surface of the Earth and moves along a curved path only under the influence of gravity, it experiences projectile motion (in particular, the effects of air resistance are passive and assumed to be negligible). Galileo showed that although this curved path can also be a straight line when thrown immediately above, it is a parabola in this case.
Gravity is the sole force acting on the item that is mathematically relevant; it acts downward and accelerates the thing towards the mass of the Earth. Due to the object's inertia, the horizontal velocity component of its motion does not require any external force.
According to the equation,
H = [tex]\frac{u^{2} }{2g}[/tex]
where,
H is the maximum height,
u is the velocity of projection and,
g is the acceleration due to gravity.
substituting the values and solving for u,
velocity of projection = 23.75 m/s
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The diameter of the asteroid Vesta is of the diameter of the planet Mercury. Mercury has a diameter of 5000 km. Calculate the diameter of Vesta. Show your working.
Answers
Answer:
5000 km
Explanation:
Sure, to calculate the diameter of Vesta, we can use the fact that Vesta's diameter is equal to the diameter of Mercury, which is 5000 km.
Therefore, the diameter of Vesta is also 5000 km.
We can show the working by using the following formula:
Diameter of Vesta = Diameter of Mercury
Diameter of Vesta = 5000 km
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?
Answers
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 500 g object is dropped from a height of 2 meters. What is its kinetic energy just before it hits the ground?
Answers
Answer: 9.8 J
Explanation:
Since the gravitational potential energy of the object is mgh or mass*acceleration due to gravity*initial height, its [tex]U_{g}[/tex] is 9.8 J. Due to the Law of Conservation of Energy, its kinetic energy will also be 9.8 J. This can be seen in the equation [tex]KE_{i}+ PE_{i}= KE_{f} + PE_{f}[/tex]. Since there is no initial kinetic energy and no final potential energy, its initial potential energy is equal to its final kinetic energy.
9.81 joules.
Step by step solved:
The kinetic energy (KE) of an object is given by the formula:
KE = 1/2 * m * v^2
where m is the mass of the object and v is its velocity.
When an object is dropped from rest, it gains speed as it falls due to the force of gravity. The velocity of a falling object can be calculated using the formula:
v = √(2gh)
where g is the acceleration due to gravity (9.81 m/s^2) and h is the height from which the object is dropped.
In this problem, the mass of the object is 500 g or 0.5 kg, and the height from which it is dropped is 2 meters. Using the formula for velocity, we get:
v = √(2gh) = √(2 x 9.81 m/s^2 x 2 m) = √(39.24) = 6.27 m/s
Now that we know the velocity of the object just before it hits the ground, we can calculate its kinetic energy using the formula:
KE = 1/2 * m * v^2 = 1/2 * 0.5 kg * (6.27 m/s)^2 = 9.81 J
Therefore, the kinetic energy of the 500 g object just before it hits the ground is 9.81 joules.
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
Answers
Answer:
B. 1/2mv^2 + 1/2Iw^2
Explanation:
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
Answers
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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# Calculate the radius of water drop which look just remain suspendat in an electric-ff- eld of 300 viem and charged with one election-
Answers
The radius of a water droplet suspended in an electric field can be calculated using the following formula:
r = (3qE/4πρg)^(1/2)
where r is the radius of the droplet, q is the charge on the droplet, E is the strength of the electric field, ρ is the density of the droplet material (assumed to be that of water, which is 1000 kg/m^3), and g is the acceleration due to gravity.
What is the radius of water drop which look just remain suspendat in an electric-ff- eld of 300 viem and charged with one election?In this case, q = -1.602 × 10^-19 C (the charge on an electron), E = 300 V/m, ρ = 1000 kg/m^3, and g = 9.81 m/s^2.
Plugging in these values, we get:
r = (3(-1.602 × 10^-19 C)(300 V/m)/(4π(1000 kg/m^3)(9.81 m/s^2)))^(1/2)
= 1.83 × 10^-5 m
Therefore, the radius of the water droplet is approximately 1.83 × 10^-5 meters.
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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
Answers
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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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?
Answers
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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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.
Answers
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.
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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(
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^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.
a mass is vibrating on a string. its frequency describes ( )
Answers
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: