Answer
given,
before collision
mass of car A = m_a = 1300 kg
velocity of car A = v_a = 35 mph
mass of car B = m_b= 1000 kg
velocity of car B = v_b = 25 mph
after collision
V_a = 30 mph
V_b = 31.5 mph
Initial momentum



final momentum



here initial momentum is equal to the final momentum of the car.
hence, momentum is conserved in the collision.
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Answer:
Do = density of obect Dw = density of water
Weight of object = V g Do
Weight of water = V g Dw
F = m a = V Do a = V g Do - V g Dw
Acceleration of object = mass * force on object
Do (g - a) = Dw g
Do = Dw ( 1 / (1 - a / g) = 1000 * 1 / (1 - 3.75 / 9.80) kg/m^3
Do = 1441 kg / m^3
If no acceleration then density of object = density of water