The gravitational force between <em>m₁</em> and <em>m₂</em> has magnitude

while the gravitational force between <em>m₁</em> and <em>m₃</em> has magnitude

where <em>x</em> is measured in m.
The mass <em>m₁</em> is attracted to <em>m₂</em> in one direction, and attracted to <em>m₃</em> in the opposite direction such that <em>m₁</em> in equilibrium. So by Newton's second law, we have

Solve for <em>x</em> :

The solution with the negative square root is negative, so we throw it out. The other is the one we want,

Answer:
Force of friction, f = 751.97 N
Explanation:
it is given that,
Mass of the car, m = 1100 kg
It is parked on a 4° incline. We need to find the force of friction keeping the car from sliding down the incline.
From the attached figure, it is clear that the normal and its weight is acting on the car. f is the force of friction such that it balances the x component of its weight i.e.


f = 751.97 N
So, the force of friction on the car is 751.97 N. Hence, this is the required solution.
Organic materials continue to be the largest component of MSW. Paper and paperboard account for 27 percent and yard trimmings and food account for another 28 percent. Plastics comprise about 13 percent; metals make up 9 percent; and rubber, leather, and textiles account for 9 percent.
Answer:
37.7m/s: principle of conservation of momentum
Explanation:
The principle to make use of is the principle of conservation of momentum which States that the sum of momentum of bodies before collision is equal to the sum of momentum of bodies after collision. This bodies will move with the same velocity after collision.
Momentum = Mass × velocity
For car of mass 2200kg moving with velocity 33m/s:
Momentum of car before collision = 2200×33
= 72,600kgm/s
For the truck of mass 4500kg;
Momentum = 4500 ×(22-(-18)
= 4500×40
= 180000kgm/s
After collision, their momentum is:
Momentum after collision = (2200+4500)v
= 6700v
Using the principle above to get the common velocity v we have
72600+180000 = 6700v
252600 = 6700v
v = 252600/6700
v = 37.7m/s