Answer:
Both cylinders will have the same moment of inertia.
Explanation:
The moment of inertia of a rigid body depends on the distribution of mass around the axis of rotation, i.e at what radius from the axis how much mass is located. What the moment of of inertia DOES NOT depend in is the distribution of mass parallel to the axis of rotation. This means that two hollow cylinders of the same mass but with different lengths will have the same moment of inertia!
For completeness, the momentum of inertia of a hollow cylinder is
from which we clearly see that only depends on the mass and the radius of the hollow cylinder and not on its height; Hence, both the wooden and the brass cylinders will have the same moment of inertia.
Answer:43.7 N
Explanation:
Given
Mass of tennis ball is =57 gm
velocity of ball=21 m/s
The player volleys the ball straight back at 25 m/s(i.e. in opposite of initial direction)
time of contact=0.06 s
We know change in momentum
initial momentum
final momentum
change in momentum
Now 2.622
Answer:
The centripetal acceleration of the runner is .
Explanation:
Given that,
A runner completes the 200 m dash in 24.0 s and runs at constant speed throughout the race. We need to find the centripetal acceleration as he runs the curved portion of the track. We know that the centripetal acceleration is given by :
v is the velocity of runner
Centripetal acceleration,
So, the centripetal acceleration of the runner is . Hence, this is the required solution.
Answer:
a. The speed is 2.39 m/s
b. The acceleration of the block is 10.2
Explanation:
First, we have to do the energy balance where we consider two states, the first where the spring remains still and the second when it is stretched 0.400m:
Δx=
W_{ext}=20.4 Nm
To determine, the acceleration we solve the following equation for a: