Answer:
travel time is 32.4 s
maximum speed is 45.36 m/s
Explanation:
given data
distance = 980 m
acceleration = 4.20 m/s² for first 1/4 of that distance
acceleration = -1.40 m/s² for next 3/4 of that distance
to find out
travel time through the 980 m and maximum speed
solution
we know for first 1/4 of that distance is =
= 245 m
so equation of motion
s = ut + 0.5 ×at² .............1
here u is initial speed = 0 and a is acceleration an t is time
s = ut + 0.5 ×at²
245 = 0+ 0.5 ×4.20 (t)²
t = 10.80 s
so
maximum speed at 1/4 of that distance
use equation of motion
v² - u² = 2as
put here value
v² - 0 = 2(4.20)× (245)
v = 45.36 m/s
so maximum speed is 45.36 m/s
and
for 3/4 distance
use equation of motion
v = u + at
here u is here 45.36 and a is acceleration and t is time and v final speed is 0
0 = 45.36 + (-1.40) × t
t = 32.4 s
so travel time is 32.4 s
Answer:
7503.13 N/m
Explanation:
Use principle of conservation of energy.
Here, energy stored in the spring due to compression shall be utilized in attaining the potential energy of the mug.
Given that,
Length of the spring = 20 cm = 0.20 m
Compression, x = 8 cm = 0.08 m
mass of the mug, m = 350 g = 0.35 kg
h = 7 m
use the expression for energy balance -
(1/2)*k*x^2 = m*g*h
=> k = (2*m*g*h) / x^2
input the values
k = (2*0.35*9.8*7) / 0.08^2
= 7503.13 N/m
A falling raindrop.
The reason why it's because mass of a raindrop is under influence of gravity pushing it down towards earth surface. When it hit the surface kinetic energy is released.