When they meet the 40-kg boy will have moved a distance of 6 m.
Displacement of the 40 kg boy
The displacement of the 40 kg boy is calculated from the principle of center mass.
X(40 kg) = (60 x 10 m + 40 x 0)/(40 kg + 60 kg)
X(40 kg) = (600)/(100) = 6 m
X(60 kg) = (60 x 0 + 40 x 10 m)/(40 kg + 60 kg)
X(60 kg) = (400)/(100) = 4 m
Thus, when they meet the 40-kg boy will have moved a distance of 6 m.
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Answer:
800cm3
Explanation:
This is a general gas law question
Which has the relationship P1V1/T1 = P2V2/T2
P1= P1 in kPa
T1 = T1 in K
V1= 800cm3
V2=?
P2= 2* P1
T2= 2*T1
The volume of gas after the changes (V2), making it as the subject of formula
V2= P1*V1*T2/P2*T1
V2 = P1 *800* 2T1 / 2P1 * T1 ; dividing accordingly, we have
V2 = 800cm3
Answer:
Max speed = 
Max acceleration = 
Explanation:
Given the description of period and amplitude, the SHM could be described by:

and its angular velocity can be calculated doing the derivative:

And therefore, the tangential velocity is calculated by multiplying this expression times the radius of the movement (3 m):
and is given in m/s.
Then the maximum speed is obtained when the cosine function becomes "1", and that gives:
Max speed = 
The acceleration is found from the derivative of the velocity expression, and therefore given by:

and the maximum of the function will be obtained when the sine expression becomes "-1", which will render:
Max acceleration = 
Forces are considered balanced when all of the combined forces lead to no change in the motion of the object. For example, when a book is sitting on a table, the force of gravity is pushing downward and the normal force is pushing upward with exactly the same amount of force. Since they are equal and opposite forces, the book does not move.
Unbalanced forces exist when there are unequal forces acting upon the object, which leads to a change in the state of motion. Unbalanced forces can lead to a change in direction, a change in speed, or both a change in direction and in speed.
193080N
Explanation:
Given parameters:
Mass of the box = 10kg
Acceleration = 12miles per second
Unknown:
Force on the box = ?
Solution:
The force acting on the box is function of the mass and acceleration of the box.
Force = mass x acceleration
Now we need to convert the given acceleration to m/s
1000m = 1km
1.609km = 1miles
x
x 
= 19308m/s
Force on box = 10 x 19308 = 193080N
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Force problems brainly.com/question/4033012
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