Write down Newton's second law in terms of momentum and acceleration. Write down this law in the form of differential equation (
1 answer:
Explanation:
According to Newton's second law of motion, the rate of change of momentum is directly proportional to the applied unbalanced force. The mathematical expression is given by:
Where
F is the applied force
m is the mass of the object
v is the velocity with which it is moving
Momentum of a particle is given by the product of mass and velocity as :
Hence, this is the required solution.
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Answer:
10.2 km
Explanation:
Displacement is the shortest distance from your original position after movement.
Now, the Zambeef delivery truck moves 18 km north and then 10 km east and then 16 km south.
This means that vertically the truck is 2km short of the 18 km he travelled north..
So we can find the displacement using pythagoras theorem..
Let d be the distance from the current position to the initial position.
Thus;
d² = 2² + 10²
d² = 4 + 100
d = √104
d ≈ 10.2 km
I have attached a diagram showing the direction of this displacement
Answer:
The distance of m2 from the ceiling is L1 +L2 + m1g/k1 + m2g/k1 + m2g/k2.
See attachment below for full solution
Explanation:
This is so because the the attached mass m1 on the spring causes the first spring to stretch by a distance of m1g/k1 (hookes law). This plus the equilibrium lengtb of the spring gives the position of the mass m1 from the ceiling. The second mass mass m2 causes both springs 1 and 2 to stretch by an amout proportional to its weight just like above. The respective stretchings are m2g/k1 for spring 1 and m2g/k2 for spring 2. These plus the position of m1 and the equilibrium length of spring 2 L2 gives the distance of L2 from the ceiling.
