Need help checking practice problems, image included. Thanks! ### Problem DescriptionA man pushes a block of ice with mass \( m \) kg across a frozen lake. The force applied, \( F \), is at an angle \( \theta \) below the horizontal. The coefficients of friction are provided: static friction (\( \mu_s = 0.0300 \)) and kinetic friction (\( \mu_k = 0.0100 \)). The right direction is positive for the x-axis and up is positive for the y-axis.### Requirements1. **Net Force in Horizontal Direction (\(\Sigma F_x\))** - Express the net force in the horizontal direction at the threshold where static friction is at its maximum.2. **Net Force in Vertical Direction (\(\Sigma F_y\))** - Express the net force in the vertical direction.3. **Magnitude of the Applied Force (\( F \))** - Calculate the magnitude of the applied force when the static friction is at its maximum and the block starts moving. The given parameters are: θ = 21° and mass \( m = 42 \) kg.4. **Acceleration (\( a \))** - Find an expression for the acceleration (\( a \)) of the block once it starts moving and calculate its numerical value.### Diagram ExplanationThe diagram shows a block and a person applying force \( F \) at an angle \( \theta \) below the horizontal. The force and angle are indicated with arrows on the diagram.### Calculations and Equations1. **Horizontal Force (\(\Sigma F_x\))** - Equation: \(\Sigma F_x = F \cos(\theta) - \text{frictional force}\) - Frictional Force: \(\mu_s N\) where \( N \) is the normal force.2. **Vertical Force (\(\Sigma F_y\))** - Equation: \(\Sigma F_y = N + F \sin(\theta) - mg = 0\) - Solve for the normal force \( N \).3. **Maximum Applied Force (\( F \))** - Use static friction equation: \( \mu_s = \frac{F_{\text{max}}}{N} \)4. **Acceleration (\( a \))** - Once the block starts moving: - Equation: \( a = \frac{\Sigma F_x}{m} \)These set of

Name: Need help checking practice problems, image included. Thanks! ### Prob
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: Need help checking practice problems, image included. Thanks! ### Problem DescriptionA man pushes a block of ice with mass \( m \) kg across a frozen lake. The force applied, \( F \), is at an angle \( \theta \) below the horizontal. The coefficients