Explanation:
a. A grocery bag as you lift it up
b. A crane moving dirt......
d. A crate as you push it along the floor
Ans: R = Ball Travelled = 92.15 meters.
Explanation:
First we need to derive that formula for the "range" in order to know how far the ball traveled before hitting the ground.
Along x-axis, equation would be:

Since there is no acceleration along x-direction; therefore,

Since

and

=0; therefore above equation becomes,

--- (A)
Now we need to find "t", and the time is not given. In order to do so, we shall use the y-direction motion equation. Before hitting the ground y ≈ 0 and a = -g; therefore,
=>

=>

Since

; therefore above equation becomes,

Put the value of t in equation (A):
(A) =>

Where x = Range = R, and

; therefore above equation becomes:
=>

Now, as:

and

°
and g = 9.8 m/(s^2)
Hence,
Ans: R = 92.15 meters.-i
The mass of a planet determines the acceleration due to gravity on it. This is according to Newton's Law of Gravitation, which basically states that the more mass a body has, the greater the force of attraction it exerts on other bodies with mass near it.
The gravitational force is:
F = GMm/r², where G is a constant, r is the distance between large mass M and small mass m.
Considering the fact that acceleration is force per unit mass, if we divide gravitational force by the small mass (to get force per unit mass), we see the dependence mathematically:
a = GM/r²
Answer:
1.7 m/s²
Explanation:
d = length of the ramp = 13.5 m
v₀ = initial speed of the skateboarder = 0 m/s
v = final speed of the skateboarder = 7.37 m/s
a = acceleration
Using the equation
v² = v₀² + 2 a d
7.37² = 0² + 2 a (13.5)
a = 2.01 m/s²
θ = angle of the incline relative to ground = 29.9
a' = Component of acceleration parallel to the ground
Component of acceleration parallel to the ground is given as
a' = a Cosθ
a' = 2.01 Cos29.9
a' = 1.7 m/s²
Make the base of the building zero. Then the initial distance is 100m, final distance unknown x. Use gravity, time and initial velocity to solve for final distance.
x - 100 = (0)(5) +(1/2)(-9.81)(5^2)
x - 100 = 0 - 122.625
x = -122.625 + 100
x = -22.625 m below ground