Answer:
(a) ω = 1.57 rad/s
(b) ac = 4.92 m/s²
(c) μs = 0.5
Explanation:
(a)
The angular speed of the merry go-round can be found as follows:
ω = 2πf
where,
ω = angular speed = ?
f = frequency = 0.25 rev/s
Therefore,
ω = (2π)(0.25 rev/s)
ω = 1.57 rad/s
(b)
The centripetal acceleration can be found as:
ac = v²/R
but,
v = Rω
Therefore,
ac = (Rω)²/R
ac = Rω²
therefore,
ac = (2 m)(1.57 rad/s)²
ac = 4.92 m/s²
(c)
In order to avoid slipping the centripetal force must not exceed the frictional force between shoes and floor:
Centripetal Force = Frictional Force
m*ac = μs*R = μs*W
m*ac = μs*mg
ac = μs*g
μs = ac/g
μs = (4.92 m/s²)/(9.8 m/s²)
μs = 0.5
The 2020 Ford police interceptor has a max acceleration of 4.4 m/s2. If a policeperson is sitting on
the roadside when a speeding car passes them at 70 mph (31.3 m/s), and the policeperson takes off
at max acceleration 1 second later, will they be able to catch the speeder in 10 seconds?
(Show work)
Answer:
The policeperson will not be able to catch the speeder in 10 seconds
Explanation:
The maximum acceleration of the 2020 Ford police interceptor, a = 4.4 m/s²
The rate at which the speeding car is moving, v = 70 mph (31.3 m/s)
The time after which the policeperson takes off = 1 second
The time, t, at which the policeperson catches the speeding car is given as follows;
s = u·t + 1/2·a·t²
Where;
u = The initial velocity of the Ford police interceptor = 0
∴ s = 0 × t + 1/2·a·t² = 1/2·a·t²
s = 1/2·a·t²
s = v × (t + 1)
Equating both equations, gives;
v × (t + 1) = 1/2·a·t²
Substituting the values, we get;
31.3 × (t + 1) = 1/2 × 4.4 × t²
31.3·t + 31.3 = 2.2·t²
2.2·t² - 31.3·t - 31.3 = 0
By the quadratic formula, we have;
t = (31.3 ± √((-31.3)² - 4×2.2×(-31.3))/(2 × 2.2)
t ≈ -0.938 seconds or t ≈ 15.165 seconds
The policeperson will catch the speeder in approximately 15.165 seconds
Therefore, the policeperson will not be able to catch the speeder in 10 seconds.
how would the acceleration of an object change if you doubled (2x) the force and quadrupled (4x) the mass
a. acceleration remains the same
b. acceleration would be twice as much
c. acceleration would be half as much
d. acceleration would be one-fourth as much
Answer:
acceleration will be twice as much
A pelican flying along a horizontal path drops a fish from a height of 4 m. The fish travels 8.0 m horizontally before it hits the water below. What is the pelican’s speed
Pls solve to the fullest do not copy question and give very detail of how to do it pls and thank you
Answer:
Speed = 8.79m/s
Explanation:
Given the following data;
Height = 4m
Horizontal distance = 8m
To find the time, we would use the second equation of motion
S = ut + ½at²
We know that acceleration due to gravity is equal to 9.8m/s²
Initial velocity, u = 0
Substituting into the equation, we have;
4 = 0(t) + ½*9.8*t²
4 = 0 + 4.9*t²
4 = 4.9t²
t² = 4/4.9
t² = 0.82
Taking the square root of both sides, we have;
t = 0.91 secs
To find the speed;
Speed = horizontal distance/time
Speed = 8/0.91
Speed = 8.79m/s
Therefore, the pelican's speed is 8.79 meters per seconds.
help me please ( im past my limit for getting answers for today :/)
A cow is eating green grass that grows in a field.
Which type of organism is the grass in this scenario?
consumer
decomposer
prey
producer
Answer:
producer
Explanation:
grass is producing
by photosynthesis
Danielle is applying 25.2 N to the right on her sled. The sled has a mass of 15.7 kg, and
is accelerating across the snow at a rate of 1.35 m/s2.
What is the magnitude of the normal force?
a. 4.00 N
b. 13.57 N
C. 11.63 N
d. 153.86 N
The applied force is parallel to the ground, so the net vertical force on the sled is 0. By Newton's second law, this means the normal force and weight of the sled cancel out:
n - w = 0
n = w
n = m g
n = (15.7 kg) (9.80 m/s²)
n = 153.86 N
Which of the following does not correctly describe the position of the turtle and why?
Answer:
C. 2m to the right of the rollerblader
Explanation:
The turtle is 2m to the LEFT of the rollerblader, so its the only option not describing the position of the turtle:)
Hope this helps, have a great day;)
You turn on a light in a room to read a book. Not all the energy from the lightbulb becomes light energy. What happens to the rest of the energy from the lightbulb?
A. It is transformed into magnetic energy.
B. It is transformed into chemical energy.
D. It is transformed into electrical energy.
C. It is transformed into thermal energy.
Answer: it is turned into thermal energy
C. it is transformed into thermal energy
fnet = fa + ff or fnet = fa - ff
Answer:first of all what is your question and i can give and example which is Use them when you have 2 forces named Fa & FF or Fg & Ff acting in opposite directions on an object and you need to know the resultant of your 2 forces.
Explanation:
i searched it up
A pinball bangs against a bumper giving the ball a speed of 42cm/s if the ball has a mass of 50.0g what is the ball’s kinetic energy in joules
Explanation:
Given:-mass=50g
velocity=42cm/s
To find:-Kinetic energy
Solution:-As we know that
[tex]{\boxed{\sf kinetic\:energy={\dfrac {1}{2}}mv^2}}[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf k.v={\dfrac {1}{{\cancel{2}}}}\times 50\times {\cancel{42}}^2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf k.v=50\times 21^2 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf k.v=50×441 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf k.v=22050MJ [/tex]
1Joule=1000milijoules22050MJ=[tex]{\dfrac {22050}{1000}}=22.05J[/tex]=22J(Approximately)[tex]\therefore[/tex][tex]{\underline{\boxed{\bf Kinetic\:energy=22Joule}}}[/tex]
How much force is required to accelerate an 8 kg mass at 5 m/s2
Answer: 40 N
Explanation: Use the formula
F = m a
to solve this.
F = (8 kg) (5 m/s²)
F = 40 kgm/s²
F = 40 N
The given value are:
Acceleration,
a = 8 kgMass,
m = 5 m/s²The force will be:
→ [tex]Force (F) = Mass(m)\times Acceleration (a)[/tex]
By substituting the values, we get
[tex]= 5\times 8[/tex]
[tex]= 40 \ N[/tex]
Thus the response above is right.
Learn more about force here:
https://brainly.com/question/12800231
a compass needle acts as a(n)
Explanation:
A compass needle acts as a Magnet
The greater the___of the object, the greater the force needed to achieve the same change in motion.
Answer:mass
Explanation:
what does the word 'latent' means
The charge of a capacitor is 1500μC. Determine the potential difference between the plates if their capacitance is 5μF.
Answer:
The potential difference between the plates of the capacitor is 300V
Explanation:
Given;
capacitance of the capacitor, C = 5μF = 5 x 10⁻⁶ F
charge of the capacitor, Q = 1500μC = 1500 x 10⁻⁶ C
The potential difference between the plates of the capacitor is given by;
V = Q / C
Where;
V is the potential difference between the plates
Q is the charge of the capacitor
C is the capacitance
[tex]V = \frac{Q}{C} \\\\V = \frac{1500*10^{-6}}{5*10^{-6}} \\\\V = 300 \ volts[/tex]
Therefore, the potential difference between the plates of the capacitor is 300V
The acceleration due to gravity on Earth is 9.8 m/s2. What is the weight of a 75 kg person on Earth? 9.8 N 75 N 85 N 735 N
The weight of a 75 kg person on Earth is 735 N, The correct option is D.
What is the acceleration due to gravity?Acceleration due to gravity is the acceleration that an object experiences due to the gravitational force exerted by a massive body, such as Earth. The acceleration due to gravity on Earth is approximately 9.8 meters per second squared (m/s^2) and is denoted by the symbol "g".
The acceleration due to gravity is a vector quantity, which means that it has both magnitude and direction. The direction of the acceleration due to gravity is always downwards, towards the center of the massive body.
The acceleration due to gravity is a constant value near the surface of the Earth, but it can vary slightly depending on altitude, latitude, and the composition of the Earth's interior. For example, at higher altitudes, the acceleration due to gravity decreases slightly, while at the equator, it is slightly greater than at the poles due to Earth's rotation.
The acceleration due to gravity plays an important role in many physical phenomena, including free fall, projectile motion, and the behavior of fluids in containers.
Here in the Question,
The weight of a 75 kg person on Earth can be calculated using the formula:
weight = mass x acceleration due to gravity
Substituting the given values, we get:
weight = 75 kg x 9.8 m/s^2
weight = 735 N
Therefore, the weight of a 75 kg person on Earth is 735 N, which is option D.
To learn more about Gravitational force click:
brainly.com/question/29190673
#SPJ7
The car's initial speed was 32m / s and it takes 99 seconds for the car to come to a full stop after the driver applies the brakes. What is the magnitude of the car's acceleration?
Answer:
0.323232....m/s2
Explanation:
acceleration=V/t
32m/s/99s=0.3232m/s2
The average acceleration is the ratio of which of the following quantities?
A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec2. What is the mass of the object?
Explanation:
force(f)=250N
acceleration(a)=5m/sec²
mass(m)=?
now,
f=m.a
f=m
a
m=250
5
m=50kg
i hope so,
For a science fair project about food and chemistry, Bill looks around his kitchen for examples of covalent compounds. What evidence can Bill use in his project to show that water (H2O) acts like other covalent compounds? He can demonstrate that water is a liquid with a definite volume. He can demonstrate that water can be boiled on a simple kitchen stove. He can demonstrate that water can sometimes be used to conduct electricity. He can demonstrate that water can change shape and either be sprayed or poured.
Answer:
B) He can demonstrate that water can be boiled on a simple kitchen stove.
Explanation:
Took the test edge2020 :)
He can demonstrate that water can be boiled on a simple kitchen stove.
The following information should be considered;
The evidence that should be used in his project for representing the water is that the water should be boiled on the kitchen stove and that should be simple not fancy. Therefore, the other options should not be considered.Learn more: https://brainly.com/question/5566317?referrer=searchResults
need help please and thank you
Answer:
0.13m/s
Explanation:
jhghffhjffhjfhjfhjf
what does it mean when we say "the acceleration due to gravity "
Answer: The acceleration due to gravity is the constant pull towards the core of the earth due to gravity on earth. It is abbreviated by the letter g and is equal to -9.81 m/s².
Explanation:
Day and night are caused by
Answer:
The Moon rotating around Earth and the Earth rotating around the Sun
Explanation:
Answer:
the rotation of Earth on its axis
Explanation:
Did it on study island
Why is it hard to respond with action at times?
A baseball is thrown straight upward with a speed of 30 m/s. (a) How long will it rise? (6) How high will it
rise? (c) How long after it leaves the band will it return to the starting point? (ch) When will its speed be
16 m/s?
Answer:
(a) 3.06 s
(b) 45.92 m
(c) 6.12 s
(ch) 1.43 s
Explanation:
Vertical Launch Upwards
In a vertical launch upwards, an object is launched vertically up without taking into consideration any kind of friction with the air.
If vo is the initial speed and g is the acceleration of gravity, the maximum height reached by the object is given by:
[tex]\displaystyle h_m=\frac{v_o^2}{2g}[/tex]
Similarly, the time it needs to reach the maximum height is:
[tex]\displaystyle t_m=\frac{v_o}{g}[/tex]
The object's speed (vf) after time t is:
[tex]v_f=v_o-g.t[/tex]
The baseball is thrown up at vo=30 m/s.
(a) It's required to calculate the time it needs to reach the maximum height:
[tex]\displaystyle t_m=\frac{30}{9.8}=3.06[/tex]
[tex]t_m=3.06~s[/tex]
(b) The maximum height is:
[tex]\displaystyle h_m=\frac{30^2}{2(9.8)}=45.92[/tex]
[tex]h_m=45.92~m[/tex]
(c) The time needed to travel up is the same time required to return to the starting point:
[tex]t_f=2*t_m=2*3.06[/tex]
[tex]t_f=6.12~s[/tex]
(ch) The speed will be vf=16 m/s at a certain time. Using the equation
[tex]v_f=v_o-g.t[/tex]
We solve for t:
[tex]\displaystyle t=\frac{v_f-v_o}{g}[/tex]
[tex]\displaystyle t=\frac{30-16}{9.8}[/tex]
t = 1.43 s
pls help asap plsss
What if the Earth was moved out to Jupiter's orbit which is about 5
times further from the Sun that Earth. How would the Sun's effect on
the Earth change at that distance?
25 times less gravitational force
0.5 times less gravitational force
5 time less gravitational force
Answer:
25.0 less force
Explanation:
Pls help it’s due in 20 min
Answer:
1=false and 2=1st answer is correct
A 49 kg person is being dragged in their sleeping bag to the lake by a 593 N
force at an angle of 30°. If the person accelerates at a rate of 0.57 m/s?, how
much resistive force (force of friction) is acting on them?
NEED HELP LIKE RIGHT NOW PLz
Answer:
f = 485.62 N
Explanation:
Since, the bag is moving with some acceleration. Hence, the unbalanced force will be given as:
Unbalanced Force = Horizontal Component Applied Force - Frictional Force
Unbalanced Force = Fx - f
But, from Newtons Second Law of Motion:
Unbalanced Force = ma
comparing the equations:
ma = Fx - f
f = F Cos θ - ma
where,
f = frictional force = ?
F = Applied force = 593 N
m = mass of person = 49 kg
a = acceleration = 0.57 m/s²
θ = Angle with horizontal = 30°
Therefore,
f = (593 N)(Cos 30°) - (49 kg)(0.57 m/s²)
f = 513.55 N - 27.93 N
f = 485.62 N
Why can't we hold a glass with oily hands?!
Is it related to friction?!
Jessica does not like how her BestFriend has been treating her around others. When confronted, the friend says Jessica is being emotional. Which beat describes the relationship between Jessica’s emotional and mental health