Answer:
Explanation:
The PE equation for a mass/spring system is
Δx² and filling in:
and
so
k = 26000 N/m
If the displacement from equilibrium changes more, the PE needed to compress it will also change.
gives us that
PE = 520J
A) The vertical component of velocity v is taking the rock to a height
Vertical component =
The time taken to reach maximum height =
So total time of rocks flight =
Range of rock is due to the horizontal component of velocity =
Range =
=
Maximum height =
=
Since range = maximum height
We have
So when angle of projection is
range is equal to maximum height reached.
b) We have range =
=
Maximum of range is reached when
Maximum range =
c) For range to be equal to maximum height only condition is
, it does not depend upon acceleration due to gravity and velocity. That angle is a constant.
Answer:
1.26 secs.
Explanation:
The following data were obtained from the question:
Force (F) = 20 N
Extention (e) = 0.2 m
Mass (m) = 4 Kg
Period (T) =.?
Next, we shall determine the spring constant, K for spring.
The spring constant, K can be obtained as follow:
Force (F) = 20 N
Extention (e) = 0.2 m
Spring constant (K) =..?
F = Ke
20 = K x 0.2
Divide both side by 0.2
K = 20/0.2
K = 100 N/m
Finally, we shall determine the period of oscillation of the 4 kg object suspended on the spring. This can be achieved as follow:
Mass (m) = 4 Kg
Spring constant (K) = 100 N/m
Period (T) =..?
T = 2π√(m/K)
T = 2π√(4/100)
T = 2π x √(0.04)
T = 2π x 0.2
T = 1.26 secs.
Therefore, the period of oscillation of the 4 kg object suspended on the spring is 1.26 secs.
Convergent boundaries form earthquakes, which forms mountains and islands.
Kind of a trick question:) you don't need to know how far from the earth he is just use
F=ma
F=78kg*9.8m/s^2=764.4N
Or 171.8 lbs