Final answer:
To find the speed of the Earth toward the laundry bag just before it hits the ground, you can use the principle of conservation of momentum. By setting up an equation and solving for the final velocity, you can determine the speed of the Earth.
Step-by-step explanation:
To find the speed of the Earth toward the laundry bag just before it hits the ground, we need to use the principle of conservation of momentum. When the laundry bag is dropped from rest, it will gain velocity as it falls towards the ground. According to the principle of conservation of momentum, the momentum gained by the bag must be equal to the momentum lost by the Earth. The mass of the laundry bag is 7.50kg and the initial height is 3.00m.
Using the equation: m1v1 + m2v2 = m1u1 + m2u2, where m1 and m2 are the masses of the laundry bag and Earth respectively, v1 and v2 are the final velocities of the laundry bag and Earth, and u1 and u2 are the initial velocities of the laundry bag and Earth. Since the Earth is initially at rest, its initial velocity (u2) is 0 m/s.
Plugging in the values into the equation, we can solve for v2, which represents the speed of the Earth toward the bag just before the bag hits the ground.
The speed of the Earth toward the bag is approximately 0.71 m/s.