Answer:
Explanation:
Given equation is ,
x =t + 2 t³ ,
dx/dt = velocity ( v ) = 1 + 6 t²
a) kinetic energy = 1/2 m v² = .5 x 4 ( 1 + 6 t² )² = 2 ( 1 + 6 t²)²
b ) Acceleration = dv /dt = 12 t .
force( F ) = mass x acceleration = 4 x 12 t = 48 t
Power = force x velocity = 48 t x ( 1 + 6 t²). = 48 t + 288 t³ )
work done = ∫ F dx =∫ 48 t x( 1 + 6t² )dt ; = [48t²/2 + 48 x 6 x t³ /3 = 24 t² + 96 t³ )]₀² = 864 J
A=(vf-vi)/t
a=(50-25)/10
a=2.5m/s^2
The interaction is in the stratosphere.
Answer:
h = 3.10 m
Explanation:
As we know that after each bounce it will lose its 11% of energy
So remaining energy after each bounce is 89%
so let say its initial energy is E
so after first bounce the energy is

after 2nd bounce the energy is

After third bounce the energy is

here initial energy is given as

now let say final height is "h" so after third bounce the energy is given as

now from above equation we have




Answer:
632.5 MPa
Explanation:
= Matrix stress at fiber failure = 10 MPa
= Volume fraction of fiber = 0.25
= Fiber fracture strength = 2.5 GPa
The longitudinal strength of a composite is given by

The longitudinal strength of the aligned carbon fiber-epoxy matrix composite is 632.5 MPa