Answer:
The speed of the chair just before impact is 22.54 m/s
Explanation:
From the question,
The chair was initially at rest, that is, the initial velocity of the chair is 0 m/s.
Since the chair was thrown from a balcony, the chair will fall freely due to gravity.
To determine the speed of the chair just before impact, we will determine the final velocity of the chair.
From one of the equations of linear motion for objects falling freely due to gravity,
v = u + gt
Where v is the final velocity
u is the initial velocity
g is the acceleration due to gravity (Take g = 9.8 m/s²)
and t is time
From the question,
u = 0 m/s
t = 2.3 secs
Then, v = u + gt becomes
v = 0 + (9.8)(2.3)
v = 9.8 × 2.3
v = 22.54 m/s
Hence, the speed of the chair just before impact is 22.54 m/s.
Answer is B. Since the number in the inequality is 5, we must be able to include it in the inequality, and therefore must use an “equal to” inequality. Since there are values less than 5, we must be able to include those numbers in the inequality. A greater than sign would therefore not make sense, meaning you must use a less than sign. Combine these two observations and you will find that the graph must be less than or equal to 5.
Answer:
11.48 degree N of W
Explanation:
We are given that
Wind velocity=km/h
Because wind is blowing towards south
Air speed=
Because the captain want to move with air speed in west direction.
x component of relative velocity=-212 km/h
y-Component of relative velocity=-43km/h
Direction=
N of W
Hence, the direction in which the pilot should set her course to travel due west=11.48 degree N of W
Answer:
Explanation:
The period of oscillation is given as
T=2π√m/k
Making k subject of the formula
Square both sides of the equation
T²=4π²(m/k)
Cross multiply
T²k=4π²m
Then, divide through by T²
k=4π²m/T²
Where
k is spring constant
m is the mass of the bob
And T is the period of the oscillation
m=140g=0.14kg
14 oscillations takes 14 seconds
Then the period is
T=time/oscillation
T=14/14
T=1sec
Then,
k=4π²m/T²
k=4π²×0.14/1²
k=1.76N/m
Then, the spring constant is 1.76N/m