Answer:
Final Length = 30 cm
Explanation:
The relationship between the force applied on a string and its stretching length, within the elastic limit, is given by Hooke's Law:
F = kΔx
where,
F = Force applied
k = spring constant
Δx = change in length of spring
First, we find the spring constant of the spring. For this purpose, we have the following data:
F = 50 N
Δx = change in length = 25 cm - 20 cm = 5 cm = 0.05 m
Therefore,
50 N = k(0.05 m)
k = 50 N/0.05 m
k = 1000 N/m
Now, we find the change in its length for F = 100 N:
100 N = (1000 N/m)Δx
Δx = (100 N)/(1000 N/m)
Δx = 0.1 m = 10 cm
but,
Δx = Final Length - Initial Length
10 cm = Final Length - 20 cm
Final Length = 10 cm + 20 cm
<u>Final Length = 30 cm</u>
First, let's put 22 km/h in m/s:
![22 \frac{km}{h} \times \frac{1000m}{1km} \times \frac{1h}{3600s}=6.11 \frac{m}{s}](https://tex.z-dn.net/?f=22%20%5Cfrac%7Bkm%7D%7Bh%7D%20%5Ctimes%20%20%5Cfrac%7B1000m%7D%7B1km%7D%20%20%5Ctimes%20%20%5Cfrac%7B1h%7D%7B3600s%7D%3D6.11%20%5Cfrac%7Bm%7D%7Bs%7D%20%20)
Now the radial force required to keep an object of mass m, moving in circular motion around a radius R, is given by
![F_{rad}=m \frac{v^2}{R}](https://tex.z-dn.net/?f=F_%7Brad%7D%3Dm%20%5Cfrac%7Bv%5E2%7D%7BR%7D%20)
The force of friction is given by the normal force (here, just the weight, mg) times the static coefficient of friction:
![F_{fric}= mg \mu_{s}](https://tex.z-dn.net/?f=F_%7Bfric%7D%3D%20mg%20%5Cmu_%7Bs%7D)
Notice we don't use the kinetic coefficient even though the bike is moving. This is because when the tires meet the road they are momentarily stationary with the road surface. Otherwise the bike is skidding.
Now set these equal, since friction is the only thing providing the ability to accelerate (turn) without skidding off the road in a line tangent to the curve:
Answer:
8. acceleration =
= 1 unit .
9. acceleration =
= -1 unit.
10. acceleration =
= 0 units.
Explanation:
8. i) acceleration = velocity / time
ii) In this figure velocity = time
iii) therefore acceleration =
= 1 unit .
9. i) acceleration = velocity / time
ii) In this figure 4 = m + 5, therefore m = -1
therefore velocity = (-0.5
time) + 5
iii) therefore acceleration =
= -1 units.
10.) velocity is constant at 2
therefore acceleration =
= 0 units
The vertical force exerted on the lawn is 68.8 N downward
Explanation:
The vertical force exerted by the lawnmower on the lawn is equal to the vertical component of the force applied, therefore:
![F_y = F sin \theta](https://tex.z-dn.net/?f=F_y%20%3D%20F%20sin%20%5Ctheta)
where
F is the magnitude of the force applied
is the angle between the direction of the force and the horizontal
In this problem:
F = 120 N
Substituting,
![F_y = (120)(sin 30)=-68.8 N](https://tex.z-dn.net/?f=F_y%20%3D%20%28120%29%28sin%2030%29%3D-68.8%20N)
where the negative sign means the direction of the force is downward.
Learn more about vector components and forces here:
brainly.com/question/2678571
brainly.com/question/8459017
brainly.com/question/11292757
brainly.com/question/12978926
#LearnwithBrainly
Answer:
Simple machine
Explanation:
It is a simple machine because the person wants to raise the load by an inclined plane. Simple machines perform work with the mechanical advantage offered by the machine itself, such as using a bar as Lever, lifting a load by means of a pulley. simple machines multiply or change direction a force. While Composite machines are the Union of several simple machines that perform a given job, examples of combined machines are found on bicycles, a washing machine, a car, and others.