Answer:
A. α = 94.4 rad/s
B. a = 28.32 m/s
C. N = 34N
D. α = 94.4 rad/s
a = 28.32 m/s
N = 44.4 N
Explanation:
part A:
using:
∑T = Iα
where T is the torque, I is the moment of inertia and α is the angular momentum.
firt we will find the moment of inertia I as:
I = 
Where M is the mass and R is the radius of the wheel, then:
I = 
I = 0.36 kg*m^2
Replacing on the initial equation and solving for α, we get::
∑T = Iα
Fr = Iα
34 N = 0.36α
α = 94.4 rad/s
part B
we need to use this equation :
a = αr
where a is the aceleration of the cord that has already been pulled off and r is the radius of the wheel, so replacing values, we get:
a = (94.4)(0.3 m)
a = 28.32 m/s
part C
Using the laws of newton, we know that:
N = T
where N is the force that the axle exerts on the wheel part and T is the tension of the cord
so:
N = 34N
part D
The anly answer that change is the answer of the part D, so, aplying laws of newton, it would be:
-Mg + N +T = 0
Then, solving for N, we get:
N = -T+Mg
N = -34 + (8 kg)(9.8)
N = 44.4 N
Who serves as the presiding officer of the Senate?

The
of the United States serves as the presiding officer of the Senate.
At present,
is the president of the Senate.

Answer:
2.38732 rpm
1.22625 rad/s²
163.292°
Explanation:
g = Acceleration due to gravity = 9.81 m/s²
a = Acceleration = 
d = Diameter of wheel = 2 m
r = Radius of wheel = 
v = Speed of elevator = 25 cm/s
Angular speed is given by

The angular speed of the wheel is 2.38732 rpm
Angular acceleration is given by

The angular acceleration of the wheel is 1.22625 rad/s²
Angular displacement is given by

The angle the disk turned when it has raised the elevator is 163.292°
Answer:
Force exerted, F = 1.5 N
Explanation:
It is given that, a boxer punches a sheet of paper in midair and brings it from rest up to a speed of 30 m/s in 0.060 s.
i.e. u = 0
v = 30 m/s
Time taken, t = 0.06 s
Mass of the paper, m = 0.003 kg
We need to find the force the boxer exert on it. The force can be calculated using second law of motion as :



F = 1.5 N
So, the force the boxer exert on the paper is 1.5 N. Hence, this is the required solution.
Answer:
A. you would want to use the 12 ound ball and the 18 mph speed in order to transfer the most kinetic energy
B. KE= 1/2 MV^2 so you would want to maximize both your Mass(weight of the ball) and Velocity(speed of the roll) in order to achive the greatest KE.
C. see image
Explanation:
Full disclosure not totally sure what you are being asked in the last one but I put togethere a rough sketch that is my best guess.