Answer:
a) # buses = 7
Explanation:
For this exercise we use the kinematic equations, let's find the time it takes to reach the same height
y =
t - ½ g t²
Let's decompose the speed, with trigonometry
v₀ₓ = v₀ cos θ
= v₀ sin θ
v₀ₓ = 40 cos 32
v₀ₓ = 33.9 m / s
= 40 sin32
= 21.2 m / s
When it arrives it is at the same initial height y = 0
0 = ( - ½ gt) t
That has two solutions
t = 0 when it comes out
t = 2 / g when it arrives
t = 2 21.2 /9.8
t = 4,326 s
We use the horizontal displacement equation
x = vox t
x = 33.9 4.326
x = 146.7 m
To find the number of buses we can use a direct proportions rule
# buses = 146.7 / 20
# buses = 7.3
# buses = 7
The distance of the seven buses is
L = 20 * 7 = 140 m
b) let's look for the scope for this jump
R = vo2 sin2T / g
R = 40 2 without 2 32 /9.8
R = 146.7 m
As we can see the range and distance needed to pass the seven (7) buses is different there is a margin of error of 6.7 m in favor of the jumper (security)
Answer:
a rope being pulled from both sides with equal force
Explanation:
:)
Must be isolated from the temperature of the gas
Answer:
Acceleration is 
Solution:
As per the question:
Radius of the circle, R = 1.8 m
Height above the ground, h = 1.8 m
Horizontal distance, x = 9.9 m
Now,
The magnitude of the centripetal acceleration can be calculated as:
where
v = velocity
R = radius
= centripetal acceleration
Now, if we consider the vertical component of motion only, then considering the initial velocity, 'u' = 0, from kinematic eqn:
t = 0.606 s
Now, for the horizontal component of velocity:
x = vt
Now, we know that the centripetal acceleration is given by:
Answer:
Positive work
Explanation:
When work and the exerted force are in the same direction, then the work done is positive.
In the question, we understand that Marvin lifts a box up (i.e. over his head). The force to lift the box acts in the upward direction and the work done itself is also in the upward direction (from the floor to Marvin's head).
Since these two are in the same direction, then we can conclude that the work done is positive.
