Answer:
B. 805 m east
Explanation:
Δx = (23 m/s east) (35 s)
Δx = 805 m east
This is a projectile motion problem, so, we use the formula for trajectory:
y =xtanα + gx^2/2v^2(cosα)^2
where
y is the vertical distance (y = 50 m)
x is the horizontal distance (x=90 m)
α is the angle of trajectory; since it levels of HORIZONTALLY, α = 0°
v is the initial velocity
g is the acceleration due to gravity which is 9.81 m/s^2
Substituting to the formula,
50 =90tan(0°) + (9.81)(90)^2/2v^2(cos0°)^2
v = 28.2 m/s
The force of gravity is that amount of attractive force which is exerted between two bodies on each other.
As per Newton's law of gravitation the force of gravity is directly proportional to the product of the masses of the two bodies and inversely proportional to the square of separation distance between them.
Mathematically 
Here G is the gravitational constant whose value is 6.67×
As per the question the masses of the objects are increased keeping the separation distance same.
As force of gravity ∝ product of masses of two bodies,
Hence the force of gravity increases with the increase of mass.
Answer:
* in a tube with both ends open
λ = 2L / n n = 1, 2, 3,…
* tube with one end open and the other closed.
λ = 4L / n n = (2n ’+ 1 )
Explanation:
When a sound wave enters a pipe, a resonance process occurs, whereby only some wavelengths can occur.
* in a tube with both ends open
in this case there are maximums at each end, so if the length of the had is L
λ = 2L 1st harmonic
λ = 2 L / 2 2nd harmonic
λ = 2L / 3
λ = 2L / n n = 1, 2, 3,…
* In the case of a tube with one end open and the other closed.
At the open end there is a belly and at the closed end a node
λ = 4L 1st harmonic
λ = 4L / 3 3rd harmonic
λ = 4L / 5
λ = 4L / n n = 1, 3, 5,… odd
n = (2n ’+ 1 ) where n’ are all integers
Answer:
m = 15.15 kg
Explanation:
Newton's Second Law of motion states that when an unbalanced force is applied on a body, an acceleration is produced in it in the direction of force. The component of force along the horizontal direction here, will be given by the Newton's Second Law as:
Fx = ma
F Cosθ = ma
where,
F = Magnitude of Force = 85 N
θ = Angle with horizontal = 27°
m = mass of object = ?
a = acceleration of object = 5 m/s²
Therefore,
85 N Cos 27° = m(5 m/s²)
m = 75.73 N/5 m/s²
<u>m = 15.15 kg</u>
