Answer:
The gravitational force between two objects is written as:
F = G*m1*m2/r^2
Where:
G = 6.67*10^(-11) m^3/kg*s
m1 and m2 are the masses of the objects.
r is the distance between the objects.
In this case, we know that:
F = 0.0005 N
r = 10m
and because the two spheres are identical, we have that:
m1 = m2 = M
then we have the equation:
0.0005 N = (6.67*10^(-11) m^3/kg*s)*(M^2/(10m)^2)
0.0005 N*(10m)^2/(6.67*10^(-11) m^3/kg*s) = M^2
√( 0.0005 N*(10m)^2/(6.67*10^(-11) m^3/kg*s) ) = M = 27,379.3 kg
The mass of each sphere is 27,379.3 kg
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.
pls help asap plsss
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
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,
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
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
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
a compass needle acts as a(n)
Explanation:
A compass needle acts as a Magnet
need help please and thank you
Answer:
0.13m/s
Explanation:
jhghffhjffhjfhjfhjf
If Juan upgrades from a sports car to a large truck, what will happen to the
force needed to keep the truck going at the same speed? Use this
sentence frame:
Answer:
The force must increase
Explanation:
According to newton's second law "force is the product of mass and acceleration".
Force = mass x acceleration
Now, the mass of the sports car is lesser compared to that of the truck. Therefore, to take both automobiles to the same speed, enough force must be applied by the engine of the truck.
There must be an increase in the force in order to make both automobiles attain the same speed.
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:
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
Why can't we hold a glass with oily hands?!
Is it related to friction?!
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
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]
Why is it hard to respond with action at times?
what does the word 'latent' means
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:
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
Jill is pulling a 200. Newton sled through the snow at constant velocity using a horizontal force of 10. Newtons. What is the kinetic coefficient of friction of the sled on the snow?
Answer:
The kinetic coefficient of friction of the sled on the snow is 0.05
Explanation:
The given parameters are;
The weight of the sled Jill is pulling, W = 200 N
The force with which Jill is pulling the the sled = 10 Newtons
The nature of the speed with which the sled is pulled = Constant speed
Therefore, given that the only opposing force to the pulling of the sled = The force of kinetic friction, we have;
The force with which Jill is pulling the the sled = 10 Newtons = The force of kinetic friction, [tex]F_k[/tex]
The force of kinetic friction = The weight of the sled, W × The kinetic coefficient of friction of the sled on the snow, [tex]\mu _k[/tex]
[tex]F_k[/tex] = W × [tex]\mu _k[/tex]
[tex]\mu _k[/tex] = [tex]F_k[/tex]/W = 10 N/(200 N) = 0.05
The kinetic coefficient of friction of the sled on the snow = [tex]\mu _k[/tex] = 0.05.
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.
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
The average acceleration is the ratio of which of the following quantities?
How long does it take for light to travel 1m? and a 1mm?
Answer:
Hi. U should do like this
Answer:
3.335641 nanoseconds for meters
Pls help it’s due in 20 min
Answer:
1=false and 2=1st answer is correct
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
The greater the___of the object, the greater the force needed to achieve the same change in motion.
Answer:mass
Explanation:
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
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
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