The motion of the object is best depicted by graph B. Therefore, option B is correct.
This is because the object is initially accelerating downwards due to the force of gravity. However, when it encounters the pool, the upward resistance force counteracts the force of gravity, and the object's velocity slows down. The object will eventually reach a terminal velocity, where the upward resistance force is equal to the force of gravity, and the object will no longer accelerate.
Graph A shows a constant velocity, which is not possible in this case. Graph C shows an initial acceleration downwards, followed by an acceleration upwards. This is also not possible, as the object cannot accelerate upwards while it is still in contact with the pool. Graph D shows a constant acceleration downwards.
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Graph B represents correct graph for velocity time Explanation:Initially the object is dropped under the influence of constant force due to gravitySo here we can say its acceleration is constant due to gravityhence here the velocity will increase downwards due to gravity and it is given asnow when it enters into the pool an upward force of same magnitude will act on itso net force on it is so here we will have no acceleration and it will move with constant speed after that so here correct graph is Graph B
Part A: The enmeshed cars were moving at a velocity of approximately 8.66 m/s just after the collision.
Part B: Car A was traveling at a velocity of approximately 8.55 m/s just before the collision.
To find the speed of car A just before the collision in Part B, you can use the principle of conservation of momentum.
The total momentum of the system before the collision should equal the total momentum after the collision. You already know the total momentum after the collision from Part A, and now you want to find the velocity of car A just before the collision.
Let's denote:
- v_A as the initial velocity of car A before the collision.
- v_B as the initial velocity of car B before the collision.
In Part A, you found that the enmeshed cars were moving at a velocity of 8.66 m/s at an angle of 60 degrees south of east. You can split this velocity into its eastward and southward components. The eastward component of this velocity is:
v_east = 8.66 m/s * cos(60 degrees)
Now, you can use the conservation of momentum to set up an equation:
Total initial momentum = Total final momentum
(mass_A * v_A) + (mass_B * v_B) = (mass_A + mass_B) * 8.66 m/s (the final velocity you found in Part A)
Plug in the known values:
(1900 kg * v_A) + (1500 kg * v_B) = (1900 kg + 1500 kg) * 8.66 m/s
Now, you can solve for v_A:
(1900 kg * v_A) + (1500 kg * v_B) = 3400 kg * 8.66 m/s
1900 kg * v_A = 3400 kg * 8.66 m/s - 1500 kg * v_B
v_A = (3400 kg * 8.66 m/s - 1500 kg * v_B) / 1900 kg
Now, plug in the values from Part A to find v_A:
v_A = (3400 kg * 8.66 m/s - 1500 kg * 8.66 m/s) / 1900 kg
v_A = (29244 kg*m/s - 12990 kg*m/s) / 1900 kg
v_A = 16254 kg*m/s / 1900 kg
v_A ≈ 8.55 m/s
So, car A was going at approximately 8.55 m/s just before the collision in Part B.
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Kinetic energy and temperature increase; thermal energy decreases.
B.
Kinetic energy, temperature, and thermal energy increase.
C.
Kinetic energy, temperature, and thermal energy decrease.
D.
Kinetic energy and temperature decrease; thermal energy increases.