Answer:
v = 4.264 m/s
Explanation:
It is given that,
Mass of the ball, m = 0.15 kg
Spring constant of the spring, k = 150 N/m
The spring is compressed by a distance, x = 0.05 m
The pellet's initial velocity is at an angle θ (θ < 90) above the horizontal.
Let v is the final speed of the projectile when it is at a distance h = 0.800 m below its initial height. It can be calculated using the conservation of energy as :
v = 4.264 m/s
So, the final speed of the projectile is 4.264 m/s. Hence, this is the required solution.
The initial velocity is obtained as 2.5 m/s.
<h3>What is the initial speed?</h3>
To obtain the initial speed, we have to apply the law of conservation of linear momentum which states that momentum before collision is equal to momentum after collision.
Now, the two fragments initially had one velocity before they were split in two directions opposite each other;
Applying the principle of conservation of linear momentum to this problem;
(2 + 10)v = (6 * 10) - (2 * 15) (they moved in opposite directions)
12v =60 - 30
12v = 30
v = 30/12
v = 2.5 m/s
Learn more about momentum:brainly.com/question/24030570
#SPJ1
Answer:
4.4 m
Explanation:
We are told the light from his flashlight, 1.3 m above the water level. Thus; h1 = 1.3m
Also,we are told that the light shone 2.5 m from his foot at the edge of the pool. Thus, L1 = 2.5 m
Angle of incidence θ1 is given by;
tan θ1 = L1/h1
tan θ1 = 2.5/1.3
tan θ1 = 1.9231
θ1 = tan^(-1) 1.9231
θ1 = 62.53°
Using Snell's law, we can find the angle of refraction from;
Sin θ2 = (η_air/η_water) Sin θ1
Where;
η_air is Refractive index of air = 1
η_water is Refractive index of water = 1.33
Thus;
Sin θ2 = (1/1.33) × sin 62.53°
Sin θ2 = 0.6671
θ2 = sin^(-1) 0.6671
θ2 = 41.84°
We want to find where the spot of light hit the bottom of the pool if the pool is 2.1 m deep. Thus, h2 = 2.1 m
Now, the spot can be found from;
L = L1 + L2
Where L2 = (h2) tan θ2
L = 2.5 + 2.1 tan 48.84
L = 2.5 + (2.1 × 0.8954)
L ≈ 4.4 m
"Average velocity" is the vector among the choices given in the question that describes <span>how fast an object moves over a long time interval. The correct option among all the options that are given in the question is the last option or the fourth option. I hope the answer has helped you.</span>
The answer is A and/or F IDK
