Answer:
a) the acceleration is -9.8 m/s^2 (gravity's acceleration), the magnitude is 9.8 m/s^2 and the direction is downwards.
The pebble is not decelerating since the magnitude of it's speed is increasing, even if it is on a negative direction.
b) after 0.5 s the pebble is 5.725 meters down. (or -5.725m from it's initial position.)
Explanation:
a) the acceleration is given only by gravity, it's the only force acting on the pebble, the slingshot only gives the pebble an initial speed.
b) To calculate the position we use the equation
y0 + v0·t + ½·g·t² = yf
replacing:
0 + (-9.0m/s) * 0.5s + 1/2 (-9.8)*0.5² = yf
-5.725 = yf
Explanation:
the unit of area is called a derived unit because it is made of two fundamental unit metre and metre.
Answer:
C. 212,000 years
Explanation:
believe me it's correct.....and you're welcome :)
Answer:
Explanation:
Here the rope is 10m long and making an angle of θ with the direction of canal or direction of flow of water in the canal .
sinθ = 2 / 10 = .2
θ = 11.5⁰
a )
Component of 500 N along the line perpendicular to the canal
= 500 sinθ
= 500 sin 11.5
= 100 N
b )
component of 500 N along the canal
= 500 cos 11.5
= 490 N approx .
Answer:
17.86 m
Explanation:
The first step is to find the velocity of the swimmer.
Velocity, v = s/t
Velocity, v = 5 / 0.27
Velocity, v = 18.52 m/s
Then, we find the height
h = ½gt²
h = ½ * 9.8 * 0.27²
h = 4.9 * 0.0729
h = 0.36 m
Next, we apply the law of conservation of energy
mgH = mgh + ½ mv²
9.8Hm = m(9.8 * 0.36 + 0.5 * 18.52²)
9.8H = 3.528 + 171.4952
9.8H = 175.02
H = 175.02 / 9.8
H = 17.86 m
Therefore, the needed height is 17.86 m
