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Answer :
The mass of the golf cart that is full of hay is F. Not all above.
To find the mass of the golf cart that is full of hay, we can use the principle of conservation of momentum. Initially, the first golf cart is moving with a speed of 2.2 m/s, and the second golf cart is stationary. After the collision, the two carts move together with a speed of 0.75 m/s. To apply the principle of conservation of momentum, we need to calculate the total momentum before and after the collision. The momentum of an object is calculated by multiplying its mass by its velocity.
Before the collision, the momentum of the first golf cart is given by 25 kg × 2.2 m/s. Since the second golf cart is stationary, its momentum is zero. After the collision, the two carts move together with a speed of 0.75 m/s. The total momentum after the collision is given by the mass of the combined carts multiplied by the final velocity.
Using the conservation of momentum, we can equate the momentum before and after the collision: 25 kg × 2.2 m/s = (25 kg + mass of the cart with hay) × 0.75 m/s
Simplifying the equation: 55 kg·m/s = (25 kg + mass of the cart with hay) × 0.75 m/s
Dividing both sides by 0.75 m/s: mass of the cart with hay = 55 kg / 0.75 m/s = 73.33 kg
Therefore, the mass of the golf cart that is full of hay is approximately 73.33 kg. None of the provided answer choices match this value, so the correct answer is F. Not all above.
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