c) the blocks? What is the common magnitude a of the acceleration of What is the magnitude 7 of the tension in the string? What is the speed of the hanging mass after a time period d) e) of 2.0 seconds? M 30 0 E

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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please please answer super super fast Please only answer part c, d, and e
**Problem 3:**

Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough inclined surface makes an angle of 30 degrees with the horizontal. The block on the inclined surface has mass \( M = 45.2 \, \text{kg} \). Assume the coefficient of kinetic friction between the block of mass \( M \) and the inclined plane is \( \mu_k = 0.10 \). The vertically hanging block has mass \( m = 9.0 \, \text{kg} \). Assume the blocks begin their motion from rest.

(a) What is the magnitude \( N \) of the normal force on the block of mass \( M \)?

(b) What direction does the hanging block \( m \) move, up or down? Circle one.

(c) What is the common magnitude \( a \) of the acceleration of the blocks?

(d) What is the magnitude \( T \) of the tension in the string?

(e) What is the speed of the hanging mass after a time period of 2.0 seconds?

**Diagram Explanation:**

The accompanying diagram shows:

- A right triangle representing the inclined plane, with an angle labeled as \( 30^\circ \).
- A block of mass \( M \) on the inclined plane.
- A string running over a pulley at the top of the inclined plane.
- A hanging block of mass \( m \) suspended vertically from the pulley.

The forces in this system include gravitational force acting on both masses, tension in the string, frictional force against mass \( M \) on the incline, and the normal force perpendicular to the inclined surface.
Transcribed Image Text:**Problem 3:** Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough inclined surface makes an angle of 30 degrees with the horizontal. The block on the inclined surface has mass \( M = 45.2 \, \text{kg} \). Assume the coefficient of kinetic friction between the block of mass \( M \) and the inclined plane is \( \mu_k = 0.10 \). The vertically hanging block has mass \( m = 9.0 \, \text{kg} \). Assume the blocks begin their motion from rest. (a) What is the magnitude \( N \) of the normal force on the block of mass \( M \)? (b) What direction does the hanging block \( m \) move, up or down? Circle one. (c) What is the common magnitude \( a \) of the acceleration of the blocks? (d) What is the magnitude \( T \) of the tension in the string? (e) What is the speed of the hanging mass after a time period of 2.0 seconds? **Diagram Explanation:** The accompanying diagram shows: - A right triangle representing the inclined plane, with an angle labeled as \( 30^\circ \). - A block of mass \( M \) on the inclined plane. - A string running over a pulley at the top of the inclined plane. - A hanging block of mass \( m \) suspended vertically from the pulley. The forces in this system include gravitational force acting on both masses, tension in the string, frictional force against mass \( M \) on the incline, and the normal force perpendicular to the inclined surface.
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