Answer:
47 m/s
Explanation:
golf club mass, mc = 180 g
golf ball mass, mb = 46 g
initial golf club speed, vc1 = 47 m/s
final golf club speed, vc2 = 35 m/s
initial golf ball speed, vb1 = 0 m/s
final golf ball speed, vb2 = ? m/s
The total momentum is conserved, then:
mc*vc1 + mb*vb1 = mc*vc2 + mb*vb2
Replacing with data and solving (dimension are omitted):
180*47 + 46*0 = 180*35 + 46*vb2
vb2 = (180*47 - 180*35)/46
vb2 = 47 m/s
Avocado and cottage cheese are both proteins.
Explanation:
The total distance in a path is called distance.
The shortest distance between two points is called displacement.
a) Here, the distance travelled between the park to your friend's house and back is
Distance between park to friends house + Distance from friend's house to your house.
b) Displacement would be the shortest distance between the park and your house.
a) Distance walked between your house to library and back is
Distance between your house and library + Distance between your house and library
b) Displacement would be zero (0) as the distance between you initial point and final point is zero. Here, the initial and final points are the same
Answer:
at t=46/22, x=24 699/1210 ≈ 24.56m
Explanation:
The general equation for location is:
x(t) = x₀ + v₀·t + 1/2 a·t²
Where:
x(t) is the location at time t. Let's say this is the height above the base of the cliff.
x₀ is the starting position. At the base of the cliff we'll take x₀=0 and at the top x₀=46.0
v₀ is the initial velocity. For the ball it is 0, for the stone it is 22.0.
a is the standard gravity. In this example it is pointed downwards at -9.8 m/s².
Now that we have this formula, we have to write it two times, once for the ball and once for the stone, and then figure out for which t they are equal, which is the point of collision.
Ball: x(t) = 46.0 + 0 - 1/2*9.8 t²
Stone: x(t) = 0 + 22·t - 1/2*9.8 t²
Since both objects are subject to the same gravity, the 1/2 a·t² term cancels out on both side, and what we're left with is actually quite a simple equation:
46 = 22·t
so t = 46/22 ≈ 2.09
Put this t back into either original (i.e., with the quadratic term) equation and get:
x(46/22) = 46 - 1/2 * 9.806 * (46/22)² ≈ 24.56 m
For efficiency the top one is 50% and the bottom one is 72%