Answer:
A
B
C
D
Explanation:
Considering the first question
From the question we are told that
The spring constant is 
The potential energy is 
Generally the potential energy stored in spring is mathematically represented as 
=> 
=> 
=>
Considering the second question
From the question we are told that
The mass of the dart is m = 0.050 kg
Generally from the law of energy conservation
=> 
=>
Considering the third question
The height at which the dart was fired horizontally is 
Generally from the law of energy conservation
Here KE is kinetic energy of the dart which is mathematical represented as
=> 
=> 
=>
Considering the fourth question
Generally the total time of flight of the dart is mathematically represented as
=> 
=> 
Generally the horizontal distance from the equilibrium position to the ground is mathematically represented as
=> 
=>
In a block and tackle, some friction in the pulleys will reduce the mechanical advantage of the machine. To include friction in a calculation of the mechanical advantage of a block and tackle, divide the weight of the object being lifted by the weight necessary to lift it.
Hope this helps
Answer:
1. The final velocity of the truck is 15 m/s
2. The distance travelled by the truck is 37.5 m
Explanation:
1. Determination of the final velocity
Initial velocity (u) = 0 m/s
Acceleration (a) = 3 m/s²
Time (t) = 5 s
Final velocity (v) =?
The final velocity of the truck can be obtained as follow:
v = u + at
v = 0 + (3 × 5)
v = 0 + 15
v = 15 m/s
Therefore, the final velocity of the truck is 15 m/s
2. Determination of the distance travelled
Initial velocity (u) = 0 m/s
Acceleration (a) = 3 m/s²
Time (t) = 5 s
Distance (s) =?
The distance travelled by the truck can be obtained as follow:
s = ut + ½at²
s = (0 × 5) + (½ × 3 × 5²)
s = 0 + (½ × 3 × 25)
s = 0 + 37.5
s = 37.5 m
Therefore, the distance travelled by the truck is 37.5 m
D.) Travels in a pattern of particle motion....
You told your insane friend that it will take the book 5.6 s to get to the ground.
From the question given above, the following data were obtained:
Height (H) = 155 m
<h3>Time (t) =? </h3>
<u>NOTE</u>: Acceleration due to gravity (g) = 10 m/s²
The time taken for the book to get to ground can be obtained as follow:
<h3>H = ½gt²</h3>
155 = ½ × 10 × t²
155 = 5 × t²
<h3>Divide both side by 5</h3>
t² = 31
<h3>Take the square root of both side </h3>
<h3>t = 5.6 s</h3>
Thus, the time taken for the book to get to the ground is 5.6 s
Hence, you told your insane friend that it will take the book 5.6 s to get to the ground.
Learn more: brainly.com/question/24903556
