Answer:
It requires <u>1.9 seconds</u> to reach maximum height.
Explanation:
As per given question,
Initial velocity (U) =19 m/s
Final velocity (V) = 0 m/s

Maximum height = S
Time taken is "t"
<u>Calculating time taken to reach maximum height:</u>
We know that time taken to reach the maximum height is calculated by using the formula V = U + at
Substitute the given values in the above equation.
Final velocity is “0” as there is no velocity at the maximum height.



t = 1.9 seconds.
The time taken to reach maximum height is <u>1.9</u> seconds.
<u>Calculating maximum height</u>:

Solving the equation we will get the value of S

-361 = -20S
Negative sign cancel both the sides.

S = 18.05 m
Maximum height is 18.05 m .
Answer:

Explanation:
The potential energy of the spring or the work done by the spring is given by :
............(1)
k is the spring constant
d is the compression
When the spring is compressed a distance d' = d/3, let W' is the work is required to load the second dart. Then the work done is given by :

.............(2)
Dividing equation (1) and (2) :



So, the work required to load the second dart compared to that required to load the first is one-Ninth as much. Therefore, the correct option is (E).
Kinetic energy is an
expression of the fact that a moving object can do work on anything it hits; it
quantifies the amount of work the object could do as a result of its motion. It
can be calculated as:
KE
= mv^2 /2
We
calculate the problem as follows:
KE
= mv^2 /2
400
= m(20)^2 / 2
<span>m
= 2 kg</span>