The baseball will undergo 16 revolutions on its way to home plate.
Explanation:
As the parameters which are given are speed at which the baseball is thrown, (v = 90 mi/h) and the distance between the home plate and the ball thrown is 60 ft. Also the spin is said to 1950 rev/min, it indicates that the ball will undergo 1950 revolution in every single minute. So in order to determine the number of revolutions the baseball will make in its way to home plate, we have to first determine the time taken for the baseball to reach its home plate with the given speed.
As we know that speed can be obtained by the ratio of distance with time, in the present case, we know the speed and distance, then time can be obtained by ratio of distance with speed.
At first, we have to convert the speed from mi/h to ft/min
1 mi/hr = 5280/ 60 ft/min = 88 ft/min.
Then, Time = Distance/Speed = 60/(90×80)=60/7200=8.33 × 10⁻³ min
Since the ball undergoes 1950 revolutions in 1 min, then in 8.33 × 10⁻³ min, the number of revolutions will be 1950×8.33 × 10⁻³ = 16 rev
Thus, the baseball will undergo 16 revolutions on its way to home plate.
Answer:
Explanation:
To find the momentum of the recoiling particle you can use the momentum formula for a photon:
before the decay the momentum is zero. Hence, after the decay the momentum of the photon plus the momentum of the recoiling particle must be zero:
where pr is the momentum of the recoiling particle.
The periodic table is a tabulated organization and representation of chemical elements that classify elements similar to repeating characteristics and order them by their increasing atomic number.
The periodic table is structured into:
The groups are categorized from group 1 (known as the alkali metals) to group 18 (i.e. the noble gases)
The list of the two most reactive groups are:
Thus, we can conclude that the two most reactive groups of elements in the periodic table are the alkali metals and the halogen family.
Learn more about the periodic table here:
Answer:
ω = √(2T / (mL))
Explanation:
(a) Draw a free body diagram of the mass. There are two tension forces, one pulling down and left, the other pulling down and right.
The x-components of the tension forces cancel each other out, so the net force is in the y direction:
∑F = -2T sin θ, where θ is the angle from the horizontal.
For small angles, sin θ ≈ tan θ.
∑F = -2T tan θ
∑F = -2T (Δy / L)
(b) For a spring, the restoring force is F = -kx, and the frequency is ω = √(k/m). (This is derived by solving a second order differential equation.)
In this case, k = 2T/L, so the frequency is:
ω = √((2T/L) / m)
ω = √(2T / (mL))
Answer:
Wavelength of the wave is
Explanation:
Wavelength of the wave is given by
Here,
wavelength is
Option A is correct