Answer:
both caused by physical vibrations
Answer:
Established in 1972 by the McMahon Government, the institute's primary function is research for sustainable use and protection of the marine environment. The Institute investigates topics from broad-scale ecology to microbiology.
Answer
given,
v = 128 ft/s
angle made with horizontal = 30°
now,
horizontal component of velocity
vx = v cos θ = 128 x cos 30° = 110.85 ft/s
vertical component of velocity
vy = v sin θ = 128 x sin 30° = 64 m/s
time taken to strike the ground
using equation of motion
v = u + at
0 =-64 -32 x t
t = 2 s
total time of flight is equal to
T = 2 t = 2 x 2 = 4 s
b) maximum height
using equation of motion
v² = u² + 2 a h
0 = 64² - 2 x 32 x h
64 h = 64²
h = 64 ft
c) range
R = v_x × time of flight
R = 110.85 × 4
R = 443.4 ft
Answer:
The force exerted by the floor is 80 N.
Explanation:
Given that,
Mass of ball = 0.5 kg
Velocity= 4 m/s
Time t = 0.05 s
When the ball rebounds then the kinetic energy is
![K.E =\dfrac{1}{2}mv^2](https://tex.z-dn.net/?f=K.E%20%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2)
Where, m = mass of ball
v = velocity of ball
Put the value into the formula
![K.E=\dfrac{1}{2}\times0.5\times(4)^2](https://tex.z-dn.net/?f=K.E%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes0.5%5Ctimes%284%29%5E2)
![K.E = 4\ J](https://tex.z-dn.net/?f=K.E%20%3D%204%5C%20J)
The average force exerted by the floor on the ball = change in kinetic energy over collision time
![F = \dfrac{4}{0.05}](https://tex.z-dn.net/?f=F%20%3D%20%5Cdfrac%7B4%7D%7B0.05%7D)
![F=80\ N](https://tex.z-dn.net/?f=F%3D80%5C%20N)
Hence, The force exerted by the floor is 80 N.