After 16.5 s, a jogger’s displacement is 200.0 m. What is her average velocity in m/s? In km/h?
1 answer:
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The relationship between the masses of the object and the gravitational force between them is a direct relationship
Explanation:
The gravitational force between two objects is given by the equation:
where
is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between them
We observe that:
- The gravitational force is proportional to the masses of the two objects, m1 and m2, so if the masses increase, the force will increase as well (so, this is a direct relationship)
- The gravitational force is inversely proportional to the square of the separation between the objects, so if the distance is increased, the force will decrease (so, this is an inverse relationship)
Learn more about gravitational force here:
#LearnwithBrainly
Answer:
Explanation:
It is given that,
Length of the wire, L = 0.6 m
Current flowing inside the wire, I = 2 A
Uniform magnetic field, B = 0.3 T
Force experienced by the wire in the magnetic field, F = 0.18 N
To find,
The angle made by the wire with the magnetic field.
Solve,
We know that the magnetic force acting on the wire inside the magnetic field is given by :
Therefore, the wire makes an angle of 30 degrees with respect to magnetic field.
The magnitude of the electric field can be calculated using the equation
, where F is the Force acting on the proton and q is the charge of the proton.
We know that the charge of the proton is
We have to calculate the Force first.
We know that F = ma from Newton's 2nd law, where m is the mass of the proton and a is the acceleration.
We know that the mass of the proton
So it turns out that we have to calculate acceleration before anything else.
In order to calculate the acceleration, we make use of the following data from the question:
Initial Velocity of the proton
Distance traveled = 0.017 m
Time taken for the travel between the plates
Acceleration a = ?
Using the equation, , we get
Knowing that initial velocity is 0, the equation reduces to
Rearranging the equation so as to make a the subject of the formula, we have
Plugging in the numbers and simplifying gives us a = 1.5 x
We can now calculate the Force using F = ma
Plugging in the known values, we get F = 2.5 x
Using this, we can calculate E through the equation
Plugging the numbers and simplifying gets us E = 156.25 N/C
Thus, the magnitude of the electric field between the plates of the capacitor is 156.25 N/C
B) To calculate the Final Velocity of the proton, we can make use of the equation
Plugging the numbers in and simplifying gets us
Answer:
b) a = -k / m x , c) d²x / dt² = - A w² cos (wt+Ф) , d) and e) T = 2π √m / k
h) a = - A w² cos (wt+Ф)
Explanation:
a) see free body diagram in the attachment
b) We write Newton's second law
Fe = m a
-k x = ma
a = -k / m x
c) the acceleration is
a = d²x / dt²
If x = A cos wt
v = dx / dt = -A w sin (wt +Ф)
a = d²x / dt² = - A w² cos (wt+Ф)
d) we substitute in Newton's second law
d²x / dt² = -k / m x
We call
w² = k / m
e) substitute to find w
-A w² cos (wt+Ф) = -k / m A cos (wt+Ф)
w² = k / m
Angular velocity and frequency are related
w = 2π f
f = 1 / T
We substitute
T = 2π / w
T = 2π √m / k
g) v= - A w sin (wt+Ф)
h) acceleration is
a = - A w² cos (wt+Ф)
