Answer:
Time elapsed = 2.856
SECOND ROCK HAS FASTER SPEED
Explanation:
This can be achieved in 2 ways, and it is clear from the careful study that the travel time is attributed to the time required to cross the path above the bridge by the 2nd stone i.e.
14 = 9.8 * t
t = 1.428 sec and
time between 2 splash = 2 * 1.428 = 2. 857 sec
2nd way
let time for 1st spalsh be t and
second splash be t1.
from equation of motion
so 60 = 14t + 0.5 * 9.8 * t * t
4.9 t^2 + 14t -60 = 0
On solving, we get t = 2.351 sec
for t_1, we have some extra time, which can be divided into t2 and t3.
14 = 9.8 * t2
t2 = 1.428 sec
total time taken by 2 is
T = 1.428 + 1.428 + 2.351
so we get t_1 = 5.207 sec
time elapsed is = T - t
= 5.207 - 2.351
Time elapsed = 2.856
SECOND ROCK HAS FASTER SPEED
Answer:
μ = tan θ
Explanation:
For this exercise let's use the translational equilibrium condition.
Let's set a datum with the x axis parallel to the plane and the y axis perpendicular to the plane.
Let's break down the weight of the block
sin θ = Wₓ / W
cos θ = W_y / W
Wₓ = W sin θ
W_y = W cos θ
The acrobat is vertically so his weight decomposition is
sin θ = = wₐₓ / wₐ
cos θ = wₐ_y / wₐ
wₐₓ = wₐ sin θ
wₐ_y = wₐ cos θ
let's write the equilibrium equations
Y axis
N- W_y - wₐ_y = 0
N = W cos θ + wₐ cos θ
X axis
Wₓ + wₐ_x - fr = 0
fr = W sin θ + wₐ sin θ
the friction force has the formula
fr = μ N
fr = μ (W cos θ + wₐ cos θ)
we substitute
μ (Mg cos θ + mg cos θ) = Mgsin θ + mg sin θ
μ = 
μ = tan θ
this is the minimum value of the coefficient of static friction for which the system is in equilibrium.
You completed 100.000 m in 11.800 second
you aced out the other runner by 0.001 seconds
time taken by other runner to finish = 11.800 + 0.001 = 11.801s
speed of other runner = 100/11.801 m/s
distance covered by him in 11.8 s = 100/11.801 × 11.8 = 99.992 m
you won by = 100 - 99.992 = 0.008 meter
Answer:
1 TB= 1000 GB
Explanation:
The capacity of a computer's hard disk is expressed in gigabytes (GB), however, today disks of 1 terabyte or more (TB) are available.
TB and GB are units of capacity of hard disk of a computer or laptop. We need to write the relation between GB and TB.
1 TB= 1000 GB
There are 1000 GB is equivalent to 1 TB.
