If we keep increasing the ramp angle, the angle that the object starts to move downward is 26.6°
To find the ramp angle, we need to know the forces acting on the mass on the ramp.
Forces acting on the mass on the ramp.Since the mass will just start to move, the force acting on the mass in the horizontal direction is the horizontal component of its weight in that direct. So, F = mgsinθ. where θ = ramp angle
The force acting on the mass in the vertical direction is the vertical component of its weight, F' = mgcosθ where θ = ramp angle
For the mass to just start to move downwards, the horizontal component of its weight must equal the static frictional force, f on it.
F = f
Since f = μN where
μ = coefficient of static friction = 0.5 and N = normal force = F' = mgcosθSo, F = f
mgsinθ = μmgcosθ
Dividing through by mgcosθ, we have
mgsinθ/mgcosθ = μmgcosθ/mgcosθ
sinθ/cosθ = μ
μ = tanθ
The ramp angle at which the object starts to move downwardSo, the angle at which the object starts to move downward is
θ = tan⁻¹μ
Since μ = 0.5
θ = tan⁻¹0.5
θ = 26.57°
θ ≅ 26.6°
So, the angle at which the object starts to move downward is 26.6°.
Learn more about ramp angle here:
https://brainly.com/question/18090623
#SPJ1
Select the correct answer. Object A attracts object B with a gravitational force of 5 newtons from a given distance. If the distance between the two objects is reduced in half, what will be the changed force of attraction between them? A. 2.5 newtons B. 10 newtons C. 15 newtons D. 20 newtons E. 25 newtons
This question involves the concept of Newton's Law of Gravitation.
The force of attraction will be changed to "D. 20 Newtons".
What is Newton's Law of Gravitation?According to Newton's Law of Gravitation, the gravitational force of attraction between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically,
[tex]F=\frac{Gm_1m_2}{r^2}[/tex]
where,
F = force = 5 NG = Gravitatational constantm₁ = mass of first objectm₂ = mass of second objectr = distance between objectsNow, reducing the distance by half, we get:
[tex]F'=\frac{Gm_1m_2}{(\frac{r}{2})^2}\\\\F'=4\frac{Gm_1m_2}{r^2}\\\\F'=4F\\F'=4(5\ N)[/tex]
F' = 20 N
Learn more about Newton's Law of Gravitation here:
https://brainly.com/question/9373839
#SPJ1
Answer:
See image
Explanation:
Plato
A certain FM radio station broadcasts electromag-
netic waves at a frequency of 60,050,000 Hz. These
waves travel at a velocity of 30,000,000 m/s. What is
the wavelength of these radio waves?
v = λ x f
λ = v/f f=v/λ
Answer:
0.5 m
Explanation:
To find wavelength (λ) : apply the formula
λ = wave speed (v) / frequency (f)Solving :
λ = 30,000,000 m/s / 60,050,000 Hzλ = 0.5 m (approximately)Compare the level of energy of radio and microwaves when compared to other waves on the spectrum.
What is the length of the shortest pipe closed on one end and open at the other end that will have a fundamental frequency of 0.060 kHz on a day when the speed of sound is 340 m/s?
Dodgems A has a mass of 120 kg, is initially moving to the right at a speed of 10 m/s. It collides with Dodgems B, which has a mass of 160 kg, moving to the right at a speed of 7 m/s. After collision, Dodgems A continues to move to the right but with a speed of 5 m/s. What is the speed of Dodgems B after collision?
Answer:
10.75 m/s
Explanation:
let velocity of Dodgems b be y
law of conservation of momentum
120 x 10 + 160 x 7=120x5+ 160 x y
1200+1120 = 600 + 160 x y
160y = 1720
y = 10.75 m/s
73. Integrated Concepts
An electron microscope produces electrons with a 2.00-pm wavelength. If these are passed through a 1.00-nm single slit, at what angle will the first diffraction minimum be found?
The angle will the first diffraction minimum be found will be 0.034895°.
What is diffraction grating?A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.
The equation of diffraction grating is given as
[tex]\rm d= \frac{m \lambda}{sin \theta }[/tex]
The angle between the incident ray and the point of the occurrence of the diffraction is found as;
[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \lambda= (2.0))(\frac{1.00 \times 10^{-12}}{1\ pm} )\\\\\ \lambda=2.00 \times 10^{-12}[/tex]
The angle will the first diffraction minimum be found is;
[tex]\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \theta = sin^{-1}(\frac{1 \times 2.000 \times 10^{-12}}{1\times 10^{-12}} )\\\\\ \theta= 0.0348995^0[/tex]
Hence,the angle will the first diffraction minimum be found will be 0.034895°.
To learn more about diffraction grating, refer to the link;
https://brainly.com/question/1812927
#SPJ1
2.25 A car's speed is 30m/s, then it slows down in rate 6m/s2, after 4 seconds its speed will be ..... m/s
Answer:
A
Explanation:
Applying the First Equation of Motion :
⇒ v = u + at
⇒ v = 30 + (-6)(4)
⇒ v = 30 - 24
⇒ v = 6 m/s
Explain the mechanism of hearing
Explanation:
The pinna collects the sound waves and conducts them to the auditory canal. Sound waves struck at the ear drum and set it into vibration. Eustachian tube equalizes the pressure on either side of the ear drum and thus allows it to vibrate freely. Ear drum transmits the vibrations to ear ossicles.
What is the period of oscillation for a pendulum that completes 3.00 cycles every 2.00 s?
Answer:
[tex]\huge\boxed{\sf T = 0.67\ seconds}[/tex]
Explanation:
Given Data:
Cycles = c = 3 cycles
Time = t = 2 seconds
Required:
Time period = T = ?
Formula:
1) f = c/t
2) T = 1/f
Solution:
Finding frequency first:
f = c / t
f = 3/2
f = 1.5 Hz
Now, finding period:
T = 1/f
T = 1 / 1.5
T = 0.67 seconds
[tex]\rule[225]{225}{2}[/tex]
Describe how energy is transferred in one of the sequences? [3]
Answer:
Thermal energy transfers occur in three ways: through conduction, convection, and radiation. When thermal energy is transferred between neighboring molecules that are in contact with one another, this is called conduction.
Explanation:
A pendulum is lifted to a certain height and then released, which causes the
pendulum to swing back and forth. If energy losses due to friction and air
resistance can be ignored, when is the energy of the system at its maximum
value?
Answer:
Answer is C
Explanation:
Let's say the pendulum starts swinging from its max height from the left. It then will go down and reach the equilibrium position, this will make it lose GPE while gaining KE (the loss in GPE = gain in KE). At the equilibrium position it has the max KE (max velocity) and minimum GPE. After passing the equilibrium it then starts to head up to the max height on the right, the pendulum gains GPE while losing KE and at the top will have minimum KE while having max GPE. Meaning throughout its joruney the total energy remains constant as
Total energy = KE + GPE
I have attached a simple diagram below, the y axis is the energy and x axis being the time (where t = 0 is the pendulum starting from max height left of the equilibrium). The green curve the the GPE and blue curve is KE. Red line shows that at all times the energy is constant.
the weight of the mass is the force that is stretching out the spring. determine the weight (F) of the mass using 9.81 m/s(to the second power) as the acceleration due to gravity on earth and record this in the column labeled "F(N)".
How do you think animals are affected by seasonal change?
Answer:
Animals follow the seasons very closely. Changes in the length of the day or temperature affect the animals' hormone production and cause them to behave according to the season. For that reason, animals instinctively know when it's time for them to mate, build a nest, fly south or stock up on food for the winter.
You take a trip to Oklahoma City. The turnpike between Tulsa and OKC
is 90 miles long. You drive slowly for an hour and forty-five minutes, stop
at the rest area for fifteen minutes, then drive very fast from the rest
area to the City, arriving an hour after you left the rest area.
What was your average speed for the trip?
[tex]speed_{avg} = \frac{Σ\:distance}{ total\: time}[/tex]
So, according to the question:
distance = 90 miles
time = 1h 45min + 15 min + 1h = 3h
[tex]Therefore:\\ speed_{avg} = \frac{90}{3} mph \\ = \boxed {30 \: mph}[/tex]
A 23900N/C electric field points down. What is the value of a charge placed in the field if it experiences a force of 7520N up?
Answer:
0.315C
Explanation:
Force/Electric field
7520N/23900C
Some aliens traveling in a group know that their spaceship launchpad is 25 miles from the gas station where they are right now. How many kilometers is that distance?
The distance between the aliens traveling in group and their launchpad in kilometers is 40.23km.
How many kilometers is that distance?Given that data in the question;
Distance d = 25 milesDistance in kilometers = ?Note that;
1 miles = 1.609 kilometers
Now, the distance in kilometers will be;
distance = 25 miles
distance = ( 25 × 1.609 )kilometers
distance = 40.23km
Therefore, the distance between the aliens traveling in group and their launchpad in kilometers is 40.23km.
Learn more about speed here: brainly.com/question/7359669
#SPJ1
What is the wavelength of radiation with a frequency of 1.50 x 1013 s-1
Answer:
[tex]2 \times 10^{-5}\ m[/tex]
Explanation:
[tex]v = f \lambda[/tex]
velocity of wave = frequency x wavelength
I'll assume we're talking about EM radiation here, which is any kind of light (microwave, ultraviolet, visible, etc.).
Every type of EM radiation has the same velocity — the speed of light.
Speed of light, known as [tex]c[/tex] — 300 000 000 = [tex]3 \times 10^8[/tex]
velocity: [tex]c = 3 \times 10^8[/tex] [tex]ms^{-1}[/tex]
frequency: [tex]f = 1.5 \times 10^{13}[/tex] [tex]\text{Hz}[/tex]
wavelength: [tex]\lambda =\ ?[/tex] [tex]m[/tex]
[tex]v = f \lambda\\3 \times 10^8 = 1.5 \times^{13}\ \times \ \lambda\\\text{rearrange for}\ \lambda\\\lambda = \frac{3 \times 10^8}{1.5 \times 10^{13}} = 2 \times 10^{-5}[/tex] [tex]m[/tex]
Two differences between science activities carried out in a science laboratory and those carried out side of science laboratory.
Please answer quickly for brainliest
In a science lab, there is the adequate availability of raw materials for experiments such as chemicals while outside a science lab there isn't.
In a science lab, the availability of apparatuses and sources of heat is higher than outside a science lab.
What is science laboratory?The science lab is a place where the experiments related to the science background are performed with the use of apparatus.
The science lab has plenty of equipment to perform the experiment whether related to physics or chemistry or biology.
Thus, source of heat and availability of raw material and equipment are the differences between the science activities carried out in a science laboratory and those carried out side of science laboratory.
Learn more about science laboratory.
https://brainly.com/question/7412101
#SPJ2
PLEASE HELP 100 POINTS! Please fill in the scale distance from sun and diversion factor, listing off the numbers works
We will take it Cm
Scale factor
1km=10^5cmSo
1cm=10^{-5}km#Mercury
580cmVen us
1080cmEarth
1500cmMars
2280cmJupiter
7780cmSaturn
14300cm#Uranus
28700cmNeptune
45000cmVector V is 448 m long in a
224° direction. Vector Wis
336 m long in a 75.9°
direction.
Find the direction of their
vector sum.
The magnitude of the vector sum of the two vectors V and W is determined as 240.84 m toward + x.
What is a vector?A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
The following are the x and y axes for the supplied vector:
Vector V in x direction;
[tex]\rm V_x = Vcos \theta \\\\ V_x = 448cos(224^0)\\\\ Vx = -322.26[/tex]
Vector V in y direction;
[tex]\rm V_y = Vsin \theta\\\\ V_y = 448 \times sin224^0\\\\ V_y = -311.2[/tex]
Vector W in x direction;
[tex]\rm W_x = 336 \times cos(75.9^0)\\\\ W_x = 81.86[/tex]
Vector W in y direction;
[tex]\rm W_y = 336 \times sin75.9\\\\\ W_y = 325.88[/tex]
The resultant vector in the x direction is;
∑X = -322.26 + 81.86
∑X == -240.4
The resultant vector in the y direction is;
∑Y = -311.2 + 325.88
∑Y = 14.68
The resultant vector is found as;
[tex]\rm R =\sqrt{(-240.4)^2+(14.68)^2} \\\\R = 240.84 \ m[/tex]
Hence, the direction of their vector sum is 240.84 toward +x-axis.
To learn more about the vector, refer to the link;
https://brainly.com/question/13322477
#SPJ1
An airplane on a runway accelerates at 4.0 meters/second2 for 28.0 seconds before takeoff. How far does the plane travel on the runway before
takeoff?
A. 1.6 x 103 meters
B. 1.7 x 103 meters
C. 3.1 x 103 meters
D. 3.3 x 103 meters
Answer:
A
Explanation:
d = 1/2 a t^2 = 1/2 (4)(28^2) = 1568 m ~ 1.6 x 10^3
Two spherical objects have masses of 8.1 x 10^2kg and 4x.5 10^8kg. The gravitational attraction between them is 1.9 x 10^-3 N.
Let's see
We need distance between them?
[tex]\\ \rm\Rrightarrow F=\dfrac{GMm}{r^2}[/tex]
[tex]\\ \rm\Rrightarrow r^2=\dfrac{GMm}{F}[/tex]
[tex]\\ \rm\Rrightarrow r^2=\dfrac{6.673\times 10^{-11}\times 8.1\times 10^2\times 4.5\times 10^8kg}{1.9\times 10^{-3}}[/tex]
[tex]\\ \rm\Rrightarrow r^2=128.02\times 10^{2}[/tex]
[tex]\\ \rm\Rrightarrow r^2=12802[/tex]
[tex]\\ \rm\Rrightarrow r=\sqrt{12802}[/tex]
[tex]\\ \rm\Rrightarrow r=113.14m[/tex]
A 50.0-N bowling ball is held in a person’s hand with the forearm horizontal. The biceps muscle is attached 0.030 0 m from the joint, and the ball is 0.350 m from the joint. Find the upward force F exerted by the biceps on the forearm (the ulna) and the downward force R exerted by the humerus on the forearm, acting at the joint.
The upward force F exerted by the biceps on the forearm will be 583 N.
What is force?Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size of the body.
Force is defined as the product of mass and acceleration. Its unit is Newton.
The torque balancing equation is found as;
[tex]\rm \tau_i=\tau_R+\tau_F+\tau_{BB}=0\\\\ R(0)+F(0.0300)-(50.0)(0.350)\\\\ F=583 \ N[/tex]
Hence,the upward force F exerted by the biceps on the forearm will be 583 N.
To learn more about the force refer to the link;
https://brainly.com/question/26115859
#SPJ1
Which sequence describes how a convection current forms in the air?
A Warm air rises-Air gets warmer- -Warm air sinks
& Cold air rises-Air warms up-Warm air sinks
C. Warm air rises-Air cools off-Cool air sinks
D. Cold air rises-Air gets cooler-Cool air rises
W
6
Answer:
C
Explanation:
Cool and dense air falls through more warm and less dense air during convection. The cooler, which is much heavier than warm air, is displacing the warmer, which has less mass. Convection always involves rising air in the atmosphere.
Answer:
C
Explanation:
Imagine a kettle. When you open it, all the hot water vapour will rise up, attempting to burst out. However, when it comes in contact with the cold air, it also becomes cold, causing it to sink back down and giving us the visual effect of steam.
The units of Work, Energy and power are________ ________units.
Answer:
the units of work and energy is joule and unit of power is Watt
An object is placed 15.0 cm to the left of a double-convex lens of focal length 20.0 cm. The image of this object is located.
The image of this object is located at -60 cm. The formula for the mirror equation is used in the given problem.
What is a mirror equation?A mirror equation is an equation that relates object distance and image distance to focal length.
The given data in the problem is;
Image distance (u) = 15 cm
Object distance (v) = ?
f is the mirror's focal length=20 cm
The mirror equation is given as;
[tex]\rm \frac{1}{v} +\frac{1}{u} =\frac{1}{f} \\\\ \rm \frac{1}{v} =\frac{1}{20} -\frac{1}{15} \\\\ \frac{1}{v} = 0.01666 \\\\\ v=-60 \ cm[/tex]
Hence, the image of this object is located at -60 cm.
To learn more about the mirror equation, refer to the link;
https://brainly.com/question/3229491
#SPJ1
Pick the free body diagram that correctly matches the following situation. An object is not moving.
Interference between the red and blue waves in wave set A will result in which wave?
Answer:
option 1
Explanation:
if the initial velocity of body is 2 metre per second and final velocity is four metre per second calculate average velocity
Answer:
3 m/s
Explanation:
Average velocity = Initial velocity + Final velocity / 2
Solving :
⇒ Average velocity = 2 + 4 / 2
⇒ Average velocity = 6/2
⇒ Average velocity = 3 m/s
if the initial velocity of body is 2 metre per second and final velocity is four metre per second calculate average velocity
Solution:AV = 2 + 4 / 2AV = 6/2AV = 6 ÷ 2AV = 3m/sSo the average velocity is 3ms.
what is the difference between 1 Newton/ metre² and 1 Pascal
Explain !!
Answer:
One pascal is equivalent to 1 newton (N) of force applied over an area of 1 square meter (m2). The pascal is also used to measure stress, specifically tectonic stress in the Earth's plates.
Explanation: