Answer:
The speed of the raft is 1.05 m/s
Explanation:
The equation for the position of the stone is as follows:
y = y0 + v0 · t + 1/2 · g · t²
Where:
y = height of the stone at time t
y0 = initial height
v0 = initial speed
t = time
g = acceleration due to gravity
The equation for the position of the raft is as follows:
x = x0 + v · t
Where:
x = position of the raft at time t
x0 = initial position
v = velocity
t = time
To find the speed of the raft, we have to know how much time the raft traveled until the stone reached the river. For that, we can calculate the time of free fall of the stone:
y = y0 + v0 · t + 1/2 · g · t² (v0=0 because the stone is dropped from rest)
If we place the origin of the frame of reference at the river below the bridge:
0 m = 95.6 m - 9.8 m/s² · t²
-95.6 m / -9,8 m/s² = t²
t = 3.12 s
We know that the raft traveled (4.84 m - 1.56 m) 3.28 m in that time, then the velocity of the raft will be:
x/t = v
3.28 m / 3.12 s = v
v = 1.05 m/s
Answer:
The length of the moment arm is 19 cm
Explanation:
Given;
The total length of the ruler, L = 40 cm
a mass is hung from its center mass, at 21 cm
a force, F is applied at 40 cm
The length of the moment arm is calculated as;
the center mass of the ruler is at 20 cm mark
0 21cm 40cm
--------------------------------------------------------------------
↓ r ↓
M F
Moment about F, = Fr
The length of the moment arm is = r
r = 40 cm - 21 cm
r = 19 cm
Therefore, the length of the moment arm is 19 cm
Answer:
yes it is it looks correct to me
Explanation:
im sorry if it isnt but i just worked out your problem and thats what i had just got
Answer:
Yes
Explanation:
Non uniform acceleration is any acceleration that is not constant.
If you look at the graphs I have drawn in the above picture, the first two graphs shows a uniform acceleration.
The first graph is a positive acceleration, which means that the object is moving faster and faster at a constant rate. The second graph shows a deceleration, or negative acceleration, which means that the object is moving slower and slower at a constant rate.
For velocity- time graphs, acceleration can be seen by its gradient. So if the slope of the graph doesn't change, it has a uniform acceleration.
Graph 3 shows zero acceleration since the object is moving at a constant velocity (or speed). Thus, the object does not acceleration.
Graphs 4-7 shows a non uniform acceleration.
In graph 4, the object has a decreasing acceleration since the gradient of the graph is decreasing. This can be seen by the slope getting gentler and gentler.
Graph 5 shows an increasing deceleration, since the graph is getting steeper and steeper and the velocity is decreasing with time.
Graph 6: increasing acceleration
Graph 7: decreasing deceleration
It has to do with the material the ball was made with not the size. Also a golf ball has more mass the more mass it has the more dense the ball is going to be.