Answer:
0.026 meter
Explanation:
using distance time equation to determine the time for the puck to move 16.5 meters.
distance 'd' = velocity'v' x time't'
16.5 = 44 x t
t =0.375 second
Here momentum is conserved. Since both objects are initially at rest, the initial momentum is 0.
Next is to determine the puck’s momentum.
Momemtum 'p' = m x v => 0.15 x 44 = 6.6kg⋅m/s
The player momentum is -6.6kg⋅m/s .
In order to determine the player’s velocity, we'll use p=mv
-6.6 = 94v
v= -0.0702 m/s
The above negative sign represents that the player is moving in the opposite direction of the puck.
Lastly, how far does the player recoil in the time it takes the puck to reach the goal 16.5 m away?
d = v x t = 0.0702 x 0.375= 0.026 meter
A 500 watt vacuum cleaner is plugged into a 120 volt outlet and used for 30 minuets. How much current runs through the vacuum?
In this case 4.2 amps of current are running through the vacuum.
p=vi
Answer:
v = 7.67 m/s for L= 1m
Explanation:
Let's use the conservation of mechanical energy, at the highest point and the lowest point
Initial. Vertical ruler
Em₀ = mg h
Final. Just before touching the floor
= K = ½ I w²
Em₀ =
m g h = ½ I w²
The moment of inertia of a ruler that turns on one end is
I = 1/3 m L²
Let's replace
m g h = ½ (1/3 m L²) w²2
g h = 1/6 L² w²
They ask for the speed of the end so the height h is equal to the length of the ruler
g L = 1/6 L² w²
The linear and angular variables are related
v = w r
w = v / r
In this case the point of interest a in strangers r = L
g L = 1/6 L² v² / L²
v = √ 6 g L
Let's calculate
Assume that the length of the meter is L = 1 m
v = √ (6 9.8 1)
v = 7.67 m/s