Answer:
Explanation:
Given that
At X=0 V=Vo
At X=X1 V=0
As we know that friction force is always try to oppose the motion of an object. It means that it provide acceleration in the negative direction.
We know that
So the friction force on the box
Ff= m x a
Where m is the mass of the box.
Answer:
The distance close to the peak is 597.4 m.
Explanation:
Given that,
Distance of the first ship from the mountain
Height of island
Distance of the enemy ship from the mountain
Initial velocity
Angle = 74.9°
We need to calculate the horizontal component of initial velocity
Using formula of horizontal component
Put the value into the formula
We need to calculate the vertical component of initial velocity
Using formula of vertical component
Put the value into the formula
We need to calculate the time
Using formula of time
We need to calculate the height of the shell on reaching the mountain
Using equation of motion
Put the value in the equation
We need to calculate the distance close to the peak
Using formula of distance
Put the value into the formula
Hence, The distance close to the peak is 597.4 m.
Answer:
a) -1.25 rev/s² and 23.3 rev
b) 2.67s
Explanation:
a) ω = (500 rev/min)(1min/ 60s) => 8.333 rev/s
ω= (200 rev/min)(1min/ 60s) => 3.333rev/s
time 't'= 4 s
angular acceleration 'α'=?
constant angular acceleration equation is given by,
ω= ω
+ α
t
α= (ω
- ω
)/t => (3.333-8.333)/4
α= -1.25 rev/s²
θ-θ = ω
t + 1/2α
t²
=(8.333)(4) + 1/2 (-1.25)(4)²
=23.3 rev
b) ω=0 (comes to rest)
ω = 3.333 rev/s
α= -1.25 rev/s²
ω= ω
+ α
t
t= (ω - ω
)/α
=> (0- 3.333)/-1.25
t= 2.67s