A van of mass 5,000kg travelling at a velocity of 10 m/s collides with a stationary car. The vehicles move together after the im
1 answer:
Hi there!
We can use the conservation of momentum for an INELASTIC collision:
Let:
m1 = mass of van (5000 kg)
m2 = mass of car (? kg)
v1 = initial velocity of van (10 m/s)
v2 = initial velocity of car (0 m/s)
vf = final velocity of BOTH objects (6 m/s)
We can rearrange and plug in values to solve for m2:
Solve:
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Answer:
B.
Explanation:
Assuming we are dealing with a perfect gas, we should use the perfect gas equation:
With T the temperature, V the volume, P the pressure, R the perfect gas constant and n the number of mol, we are going to use the subscripts i for the initial state when the gas has 20 cubic inches of volume and absolute pressure of 5 psi, and final state when the gas reaches 10 psi, so we have two equations:
(1)
(2)
Assuming the temperature and the number of moles remain constant (number of moles remain constant if we don't have a leak of gas) we should equate equations (1) and (2) because ,
and R is an universal constant:
, solving for