Answer:
The velocity just before hitting the ground is 
Explanation:
From the question we are told that
The initial speed is 
The final speed is 
From the equations of motion we have that

Where s is the distance travelled which is the height of the cliff
So making it the subject of the the formula we have that

Where a is the acceleration due to gravity with a value 
So


Now we are told that was through horizontally with a speed of

Which implies that this would be its velocity horizontally through out the motion
Now it final velocity vertically can be mathematically evaluated as

Substituting values


The resultant final velocity is mathematically evaluated as

Substituting values


(a) 4.03 s
The initial angular velocity of the wheel is

The angular acceleration of the wheel is

negative since it is a deceleration.
The angular acceleration can be also written as

where
is the final angular velocity (the wheel comes to a stop)
t is the time it takes for the wheel to stop
Solving for t, we find

(b) 27.6 rad
The angular displacement of the wheel in angular accelerated motion is given by

where we have
is the initial angular velocity
is the angular acceleration
t = 4.03 s is the total time of the motion
Substituting numbers, we find

Answer:
A
Explanation:
Momentum conservation will cause 0.08kg to move to the west (opposite of 0.02 kg).
and because both are at the same height above the ground, they will take the same time to reach the ground.
The speed of 0.08kg will be less than 0.02 kg, let v be the speed of 0..02kg, then speed of 0.08kg V is
0.02v - (0.08)V = 0
V = 0.02 v/ 0.08 = v/4
The speed of 0.08 kg = v/4
The speed of 0.08 kg is less than 0.02kg.
So 0.02kg strikes the ground farther from the launch point than does the 0.08 kg
Explanation:
F = 20N m= m1 a=10m/s²
m=m2 a=5m/s²
F = ma
<u>for the first one</u><u>:</u><u> </u>
f=m1 × a
20 = m1 ×10
20=10m1
m1=20/10
m1=2
<u>for</u><u> </u><u>the</u><u> </u><u>second</u><u> </u><u>one</u><u> </u><u>:</u>
f=m2×a
20=m2×5
m2= 20/5
m2= 4
since F=ma
F=(m1+m2) ×a
F =(4+2)×a
F =6×a
F=20(from the question above )
20=6×a
a=20/6
a=3.33
Answer:
Distance is 500 m, displacement is 0
Explanation:
Distance and displacement are defined in two different ways:
- Distance is the total length of the path covered by an object in motion - so it depends on the path taken. In this problem, the distance travelled by the car corresponds to the length of one lap, which is the length of the track, so 500 m
- Displacement is the distance in a straight line between the final point and the initial point of the motion. This means that displacement does not depend on the path taken, but only on the starting and ending point of the motion. In this problem, the car completes one lap, so the final position of the car is equal to its starting position - therefore the displacement is zero, since the distance between these two points is zero.