Hi there!
We can calculate linear momentum using the following:
p = linear momentum (kgm/s)
m = mass (kg)
v = velocity (m/s)
Calculate:
Now, we can relate force, time, and momentum with the following:
I = Impulse (kgm/s)
F = Force (N)
t = time (s)
Rearrange to solve for force:
The impulse is equal to the change in momentum. Since the car comes to a halt, all of its momentum is lost, so:
Solve:
**Negative force since the positive direction is towards the wall, and the negative direction is away from the wall.
Answer:
v = 7.18_m/s
Explanation:
Velocity of the earth towards the ball is = velocity of the ball moving towards earth
For object in free fall, we have
Where
v = final velocity
u = initial velocity
g = acceleration due to gravity
t = time
S = height of ball above ground
v^2 = u^2 - 2×g×(-S)
= 0 + 2×9.8×2.63 = 51.55_m^2/s^2
Velocity of the ball just before it hits the ground is
v = 7.18_m/s
The vector sum is the algebraic sum if the two vectors have the same direction.
The sum vector is zero if the two vectors have the same magnitude and opposite direction
Vector addition is a process that can be performed graphically using the parallelogram method, see attached, where the second vector is placed at the tip of the first and the vector sum goes from the origin of the first vector to the tip of the second.
There are two special cases where the vector sum can be reduced to the algebraic sum if the vectors are parallel
case 1. if the two vectors are parallel, the sum vector has the magnitude of the sum of the magnitudes of each vector
case 2. If the two vectors are antiparallel and the magnitude of the two vectors is the same, the sum gives zero.
In summary in the sum of vectors If the vectors are parallel it is reduced to the algebraic sum, also in the case of equal magnitude and opposite direction the sum is the null vector