Answer:
269 m
45 m/s
-58.6 m/s
Explanation:
Part 1
First, find the time it takes for the package to land. Take the upward direction to be positive.
Given (in the y direction):
Δy = -175 m
v₀ = 0 m/s
a = -9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
(-175 m) = (0 m/s) t + ½ (-9.8 m/s²) t²
t = 5.98 s
Next, find the horizontal distance traveled in that time:
Given (in the x direction):
v₀ = 45 m/s
a = 0 m/s²
t = 5.98 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (45 m/s) (5.98 s) + ½ (0 m/s²) (5.98 s)²
Δx = 269 m
Part 2
Given (in the x direction):
v₀ = 45 m/s
a = 0 m/s²
t = 5.98 s
Find: v
v = at + v₀
v = (0 m/s²) (5.98 s) + (45 m/s
v = 45 m/s
Part 3
Given (in the y direction):
Δy = -175 m
v₀ = 0 m/s
a = -9.8 m/s²
Find: v
v² = v₀² + 2aΔy
v² = (0 m/s)² + 2 (-9.8 m/s²) (-175 m)
v = -58.6 m/s
C. Because they are in the same group, so they have the same number of valence (outer) electrons
As per momentum conservation theory
If net force on a system is zero then initial momentum of the system will be equal to final momentum of that system.
Since initially coconut is at rest so initial momentum is zero
Here it break into three pieces such that two parts of same mass while third part is of double mass
now we can say

here we know that two parts fly off with same speed v0 along south and west directions

now we will have

so here magnitude of the speed of the third part will be


and the direction of the third part will be along North East direction
.Answer:
491.4 nm
Explanation:
The distance between central and first maxima is,

And the distance between screen abnd grating is,

Now the angle can be find as,

Now the grating distance is,

Now with m=1 condition will become,

So,

Therefore the wavelength of laser light is 491.4 nm.
Answer:
a = - 11.53[m/s^2]
Explanation:
The airplane slows down as its speed decreases from the initial value of 610 [m/s] to zero.
To calculate the acceleration value we use the following kinematics equation:

where:
Vf = final velocity = 0
Vi = initial velocity = 610 [m/s]
a = acceleration [m/s2]
t = time = 53 [s]
Now replacing:
0 = 610 + (a*53)
-610 = 53*a
a = - 11.53[m/s^2]
The negative sign means that the aircraft is losing speed, i.e. slowing down