Answer with Explanation:
We are given that
Initial velocity,u=4.5 m/s
Time=t =0.5 s
Final velocity=v=0m/s
We have to find the deceleration and estimate the force exerted by wall on you.
We know that
Acceleration=
Using the formula
Acceleration=
deceleration=a=
We know that
Force =ma
Using the formula and suppose mass of my body=m=40 kg
The force exerted by wall on you
Force=
Answer:
Explanation:
m = Mass of ball = 150 g
= Angle of kick =
= Displacement of ball in x direction = 12 m
Range of projectile is given by
The velocity of the ball instantly after the man kicks the ball is
Impulse is given by
The impulse of his foot on the ball is .
Answer:
x(t) = -8sin2t
Explanation:
See the attachment for solution
From my solving, we can deduce that w² = 4, and thus, w = 2
Therefore, the general solution is
x(t) = c1 cos2t + c2 sin2t
Considering the final variable, we can conclude that
x(0) = 0
x'(0) = -8 m/s
The final solution, thus
x(t) = -8sin2t
Answer:
Explanation:
First we convert 2 cycles/s to angular velocity knowing that each circle has an angle of 2π
Then we calculate the moment of inertia of the cylindrical shell, assuming there's no mass inside the wheel (only at the rim):
So the kinetic energy of this is