Answer:
L = mp*v₀*(ms*D) / (ms + mp)
Explanation:
Given info
ms = mass of the hockey stick
uis = 0 (initial speed of the hockey stick before the collision)
xis = D (initial position of center of mass of the hockey stick before the collision)
mp = mass of the puck
uip = v₀ (initial speed of the puck before the collision)
xip = 0 (initial position of center of mass of the puck before the collision)
If we apply
Ycm = (ms*xis + mp*xip) / (ms + mp)
⇒ Ycm = (ms*D + mp*0) / (ms + mp)
⇒ Ycm = (ms*D) / (ms + mp)
Now, we can apply the equation
L = m*v*R
where m = mp
v = v₀
R = Ycm
then we have
L = mp*v₀*(ms*D) / (ms + mp)
Answer:
ρm=4.14g/ml :metal density
Explanation:
Conceptual analysis
We apply the formula to calculate the density:
ρ= m /V Formula (1)
Where:
ρ:density in g/mL
m: mass in g (grams)
V= volume in ml (milliliters)
Known data
: final volume of liquid=55.25 ml
: final volume of liquid=61.00 ml
ms: metal mass=23.795 g
Problem development
The volume of the metal (vm) is equal to the change in volume of the liquid.
We replace the data in formula (1 )to calculate the density of the metal(ρm):
ρm= mm /Vm=23.795 g/5.75ml
ρm=4.14g/ml
Answer:
Explanation:
Since the pulley has a mass concentrated on its rim, the pulley can be considered as a ring.
The moment of inertia of a ring is
The mass on the left is heavier, that is the pulley is rotating counterclockwise.
By Newton's Second Law, the net torque is equal to moment of inertia times angular acceleration.
Here, the net torque is the sum of the weight on the left and the weight on the right.
Applying Newton's Second Law gives the angular acceleration
The relation between angular acceleration and linear acceleration is
Then, the linear acceleration of the masses is
<em>STOP </em>! often can if you shout it loud enough.
Other possibilities might include <em>FREEZE</em> , <em>DUCK</em> , <em>DROP ,</em> <em>HALT</em> , etc.