The momentum of the car is 60,000 kg m/s
Explanation:
The momentum of an object is a vector quantity, whose magnitude is given by
where
m is the mass of the object
v is its velocity
For the car in this problem, we have
m = 2,000 kg
v = 30 m/s
Therefore, the magnitude of its momentum is
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The speed of the block when the compression is 15 cm is 9.85 m/s.
The given parameters;
The spring constant is calculated as follows;
The speed of the block when the compression is 15 cm can be determined by applying the principle of conservation of energy;
Thus, the speed of the block when the compression is 15 cm is 9.85 m/s.
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1) A) Object 1 has the greater momentum
The magnitude of the momentum of an object is given by:
where
m is the mass of the object
v is its speed
Object 1 has a mass of and a speed of
, so its momentum is
Object 2 has a mass of and a speed of
, so its momentum is
So we see that , so object 1 has the greater momentum.
2) The objects have the same kinetic energy.
The kinetic energy of an object is given by
where
m is the mass of the object
v is its speed
Object 1 has a mass of and a speed of
, so its kinetic energy is
Object 2 has a mass of and a speed of
, so its kinetic energy is
So we see that , so the objects have same kinetic energy