Determine the wavelength of a tennis ball after a good serve. Assume the mass of a tennis ball is about 60 g and the velocity of
1 answer:
Answer:
λ = 1.72 x 10⁻³⁴ m
Explanation:
given,
mass of the tennis ball = 60 g
= 0.06 Kg
velocity of good serve = 230 Km/h
1 km/h = 0.278 m/s
230 km/h = 230 x 0.278
= 63.94 m/s
wavelength,
p is the momentum of the particle, m v
h is the planks constant
h = 6.6 x 10⁻³⁴ m².kg/s
λ = 1.72 x 10⁻³⁴ m
The wavelength of the tennis after a good serve is equal to λ = 1.72 x 10⁻³⁴ m
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Answer:
Explanation:
given,
ω₁ = 120 rpm
1 rpm =
rad/s
= 12.56 rad/s
α = - 4 rad/s²
diameter of disk = 20 cm
final angular velocity = 0
t =
t =
t = 3.14 s.
2)
=
= 19. 72 radians
3) total angular distance rotated
x = θ R
x = 19.72 × 0.1 = 1.97 m
x = 2 m
1) The north component of the airplane velocity is 260 km/h.
2) The direction of the plane is north of east.
Explanation:
1)
In this problem, we have to resolve the velocity vector into its components.
Taking east as positive x-direction and north as positive y-direction, the components of the velocity along the two directions are given by:
where
v is the magnitude of the velocity
is the angle between the direction of the velocity and the positive x-axis (the east direction)
For the airplane in this problem,
v = 750 km/h
So, the two components are
So, the component in the north direction is 256.5 km/h, so approximately 260 km/h.
2)
In this problem, we have to use vector addition.
In fact, the motion of the plane consists of two displacements:
- A first displacement of 220 km in the east direction
- A second displacement of 100 km in the north direction
Using the same convention of the same problem (x = east and y = north), we can write
Since the two vectors are perpendicular to each other, we can find their magnitude using Pythagorean's theorem:
And the direction is given by
north of east.
Learn more about vectors here:
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