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1. The system shown below consists of two connected blocks resting on a cart that is held at rest and then released. The surfaces of the blocks and cart are frictionless, but the cart's wheels are exerting a kinetic friction force with the ground of coefficient µg = 0.0514. The string is inelastic and has negligible mass, the pulley has negligible mass and friction. The cart has mass M the top block has mass m, the hanging block has mass m2 = 95.0 kg. The cart cannot tip. 110 kg, 45.0 kg, and

1. The system shown below consists of two connected blocks resting on a cart that is held at rest and then released. The surfaces of the blocks and cart are frictionless, but the cart's wheels are exerting a kinetic friction force with the ground of coefficient µg = 0.0514. The string is inelastic and has negligible mass, the pulley has negligible mass and friction. The cart has mass M the top block has mass m, the hanging block has mass m2 = 95.0 kg. The cart cannot tip. 110 kg, 45.0 kg, and

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I need help with part b of the question please. 

The problem setup involves a system with two connected blocks on a cart initially at rest and then released. The surfaces between the blocks and the cart are frictionless. However, the wheels of the cart experience a kinetic friction force with the ground, defined by the coefficient of friction \(\mu_k = 0.0514\). The string connecting the blocks is inelastic, and the pulley is considered to have negligible mass and no friction. Given masses are: - The cart's mass \(M = 110 \, \text{kg}\), - The top block's mass \(m_1 = 45.0 \, \text{kg}\), - The hanging block's mass \(m_2 = 95.0 \, \text{kg}\). The cart cannot tip over. **Questions:** (a) What is the direction and magnitude of the acceleration of the cart? (b) As the hanging block \(m_2\) decreases in mass, the cart's acceleration reduces. What is the smaller value of \(m_2\) at which the cart completely stops accelerating? **Diagram Explanation:** There is a diagram showing the cart with wheels on the ground, a block \(m_1\) on top of the cart, and a block \(m_2\) hanging over the side, connected by a string running over a pulley. The coordinate system is indicated with the \(x\)-axis running horizontally and the \(y\)-axis running vertically.
Transcribed Image Text:The problem setup involves a system with two connected blocks on a cart initially at rest and then released. The surfaces between the blocks and the cart are frictionless. However, the wheels of the cart experience a kinetic friction force with the ground, defined by the coefficient of friction \(\mu_k = 0.0514\). The string connecting the blocks is inelastic, and the pulley is considered to have negligible mass and no friction. Given masses are: - The cart's mass \(M = 110 \, \text{kg}\), - The top block's mass \(m_1 = 45.0 \, \text{kg}\), - The hanging block's mass \(m_2 = 95.0 \, \text{kg}\). The cart cannot tip over. **Questions:** (a) What is the direction and magnitude of the acceleration of the cart? (b) As the hanging block \(m_2\) decreases in mass, the cart's acceleration reduces. What is the smaller value of \(m_2\) at which the cart completely stops accelerating? **Diagram Explanation:** There is a diagram showing the cart with wheels on the ground, a block \(m_1\) on top of the cart, and a block \(m_2\) hanging over the side, connected by a string running over a pulley. The coordinate system is indicated with the \(x\)-axis running horizontally and the \(y\)-axis running vertically.
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