<u>Answer</u>
E. 14.2 seconds
<u>Explanation</u>
We are going to use the Newton's law of motion.
s = ut + (1/2)gt²
Where s ⇒ height
g ⇒ acceleration due to gravity
t ⇒ time taken to reach the surface of the earth.
u ⇒ initial velocity
s = ut + (1/2)gt²
1,000 = -10t + (1/2)×-9.8×t²
10t + (1/2)×9.8×t² = -1000
4.9t² + 10t = -1000
t² + 2.0408t = 204.0816
t² + 2.0408t + 1.0204² = 204.0816 + 1.0204²
(t + 1.0204)² = 205.1228
t = +√205.1228 -1.0204 or t = -√205.1228 -1.0204
= 14.322 s = - 15.342 s
Since time can not be negative, we take the answer to be: 14.322 seconds.
1) The frequency of the sound is
while the speed of sound is
So we can use the relationship between wavelength, speed and frequency of a wave to find the wavelength corresponding to this sound:
2) The wavelength in this case is
while the frequency of the wave is
So we can use the same relationship we used in part 1) to find the speed of the sound wave:
3) The velocity of the wave is
while its wavelength is
therefore we can find its frequency by using the usual relationship:
The formula for finding force is F=W/d so then you plug in the numbers:
F=600/4.8
F=125N
Answer
given,
mass of the baseball = 0.145 Kg
Assuming the horizontal velocity of ball = V x = 50 m/s
ball left at an angle of = 30°
At the speed of 65 m/s
time of contact = 1.75 ms
velocity of time along horizontal direction
v_{horizontal} = -65 cos 30° - 50
= -106.29 m/s
Impulse = force x time
impulse is equal to change in momentum
now,
force x time = m v
F_{horizontal} = - 8.806 kN
now velocity in vertical component
v_{vertical} = 65 sin 30°
= 32.5 m/s
F_{vertical} = 2.692 kN
Answer:
c.Beta (1 e-) is the answer.