For the front glass of the car to get wet,
.
The given parameters:
- <em>Speed of the car, = Vc</em>
- <em>Speed of the rain, = 10 m/s</em>
The relative velocity of the car with respect to the falling rain is calculated as;

- If the speed of the car equals the speed of the rain, the rain will fall behind the car.
- If the speed of the rain is greater than speed of the car, the rain will fall far in front of the car.
- If the speed of the car is greater than speed of the rain, the rain will fall on the car.
Thus, for the front glass of the car to get wet,
.
Learn more about relative velocity here: brainly.com/question/17228388
The problem is solved and the questions are answered below.
Explanation:
a. To calculate the speed of the 0.66 kg ball just before the collision
V₀ + K₀ = V₁ + K₁
= mgh₀ = 1/2 mv₁²
where, h= r - r cosθ
V = 
V = 2.42 m/s
b. Calculate the speed of the 0.22 kg ball immediately after the collision
y = y₀ + Vy₀t - 1/2 gt²
0 = 1.2 - 1/2 gt²
t = 0.495 s
x = x₀ + Vx₀t
1.4 = 0 + vx₀ (0.495)
Vx₀ = 2.83 m/s
C. To Calculate the speed of the 0.66 kg ball immediately after the collision
m₁ v₁ = m₁ v₃ + m₂ v₄
(0.66)(2.42) = (0.66) v₃ + (0.22)(2.83)
V₃ = 1.48 m/s
D. To Indicate the direction of motion of the 0.66 kg ball immediately after the collision is to the right.
E. To Calculate the height to which the 0.66 kg ball rises after the collision
V₀ + k₀ = V₁ + k₁
1/2 mv₀² = mgh₁
h₁ = v₀²/2 g
= 0.112 m
F. Based on your data, No the collision is not elastic.
Δk = 1/2 m₁v₃² =1/2 m₂v₄² - 1/2 m₁v₁²
= 1/2 (0.66)(1.48)² + 1/2 (0.22)(2.83)² - 1/2 (0.66)(2.42)²
= - 0.329 J
Hence, kinetic energy is not conserved.
Change in velocity = Final velocity - Initial velocity
Initial velocity = 20 m/s
Final velocity = 10 m/s
Change in velocity = 10 - 20 = -10m/s
Correct option B
Hope This Helps You!
To solve this problem we will apply the concepts related to energy conservation. So that the initial energy on the system is equivalent to the final energy.
The initial or final energy will also be the TOTAL mechanical energy of the body.
In the case of the initial energy we will have two types of energy on the body: Kinetic energy and potential energy.
For the case of the final energy we will only have the potential energy in terms of the height
, the mass m, and the gravity g




The total mechanical energy will be equivalent in the terms required, to the final potential energy.
Answer:
a) 200m, 100m/s
b) 710.20m
c) -117.98 m/s
d) 26.24 s
Explanation:
To solve this we have to use the formulas corresponding to a uniformly accelerated motion problem:
(1)
(2)
(3)
where:
Vo is initial velocity
Xo=intial position
V=final velocity
X=displacement
a)

the intial position is zero because is lauched from the ground and the intial velocitiy is zero because it started from rest.



b)
The intial velocity is 100m/s we know that because question (a) the acceleration is -9.8
because it is going downward.

c)
In order to find the velocity when it crashes, we can use the formula (3).
the initial velocity is 0 because in that moment is starting to fall.

the minus sign means that the object is going down.
d)
We can find the total amount of time adding the first 4 second and the time it takes to going down.
to calculate the time we can use the formula (2) setting the reference at 200m:

solving this we have: time taken= 22.24 seconds
total time is:
total=22.24+4=26.24 seconds.