Answer:
smaller force is 20
Explanation:
Let, magnitude of the smaller force be F Newton.
Now, the resultant force makes an angle 90° with the smaller force. So, angle between resultant force and the larger force = (120° - 90°) = 30°.
So, tan 30° = (F * sin 120°) / (40 + F * cos 120°)
(1 / √3) = {F * (√3) / 2} / {40 + F * (- 1 / 2)}
80 - F = 3F
4F = 80
F = 20.
So, magnitude of smaller force is 20 Newtons.
Answer:
a) 10 seconds
b) 100 meters
Explanation:
<u>Accelerated Motion
</u>
If an object is moving at contant speed, we know it has zero net force applied. As soon as an unbalanced force appears, the object accelerates (positive or negative) depending on the direction of the force with respect to movement. The speed of an object subject to acceleration is given by

The distance traveled is given by

a)
Our train is travelling at 20m/s when it decelerates at
(negative for it's against movement). If nothing else happens, it will eventually stop (
). We can compute the time at which it happens
:



b)
The distance traveled is



After a careful reading of the question, I have concluded that it's a trick question, and that there IS no other one.
Answer:
0.661 s, 5.29 m
Explanation:
In the y direction:
Δy = 2.14 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
(2.14 m) = (0 m/s) t + ½ (9.8 m/s²) t²
t = 0.661 s
In the x direction:
v₀ = 8 m/s
a = 0 m/s²
t = 0.661 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (8 m/s) (0.661 s) + ½ (0 m/s²) (0.661 s)²
Δx = 5.29 m
Round as needed.
The problem seems to be incomplete because there is no question. However, from the problem description, the logical question is to find he acceleration needed by the jet to land on the airplane carrier. The working equation would be:
2ad = v₂² - v₁²
Since the jet stops, v₂ = 0. Substituting the values:
2(a)(95 m) = 0² - [(240 km/h)(1000 m/1 km)(1h/3600 s)]²
Solving for a,
<em>a = -23.39 m/s² (the negative sign indicates that the jet is decelerating)</em>