**Problem Statement:** A girl is pulling a sled with a mass of 16.0 kg across a level patch of grass by exerting a force of 22.0 N along a rope that forms an angle of 33.0 degrees above the ground. If the coefficient of kinetic friction between the sled and the grass is 0.25, draw a force diagram for the problem and find the acceleration of the sled. **Explanation and Diagram:** To solve this problem, first draw a force diagram (free body diagram) depicting all the forces acting on the sled: 1. **Applied Force (F):** A force of 22.0 N is exerted at an angle of 33.0 degrees with respect to the horizontal. 2. **Normal Force (N):** Acts perpendicular to the surface upward, balancing part of the sled's weight. 3. **Gravitational Force (Weight, W):** Acts downward, equal to the mass of the sled times the acceleration due to gravity (W = m * g). 4. **Frictional Force (f):** Acts opposite to the direction of motion, calculated using the formula f = μ * N, where μ is the coefficient of friction. **Calculations:** 1. **Resolve the Applied Force:** - Horizontal Component: \( F_x = F \cdot \cos(\theta) \) - Vertical Component: \( F_y = F \cdot \sin(\theta) \) 2. **Calculate the Normal Force:** - \( N = m \cdot g - F_y \) 3. **Determine the Frictional Force:** - \( f = \mu \cdot N \) 4. **Calculate Acceleration (a):** - Use Newton’s Second Law: \( F_{net} = m \cdot a \) - Net Force: \( F_{net} = F_x - f \) - Rearrange to solve for acceleration: \( a = \frac{F_{net}}{m} \) These steps will allow you to find the acceleration of the sled based on the given forces and conditions.

A woman at an airport is towing her 22.0-kg suitcase at constant speed by pulling on a strap at an angle 0 above the horizontal. She pulls on the strap with a 29.5-N force, and the friction force on the suitcase is 20.0 N. (a) Draw a free-body diagram of the suitcase. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) What angle does the strap make with the horizon? ° counterclockwise from the horizontal (c) What is the magnitude of the normal force that the ground exerts on the suitcase? Need Help? Read It Watch It

When a parachute opens, the air exerts a large drag force on it. This upward force is initially greater than the weight of the sky diver and, thus, slows him down. Suppose the weight of the sky diver is 986 N and the drag force has a magnitude of 1049 N. The mass of the sky diver is 101 kg. Take upward to be the positive direction. What is his acceleration, including sign? Type to search 7 Number e Textbook and Media Save for Later 2 +6.24 W Ri 3 E C $ 4 " Units R % 5 m/s^2 T V 6 & 7 7 H * Attempts: 2 of 3 used Submit Answer 8 81°F Partly sunny 0 K 2:41 6/2/

Multiple part question: A worker in a factory slides a heavy box up a ramp into a truck. The box has a mass of 84 kg, and the ramp is 3 m long and makes an angle of 34° with the horizontal. The coefficient of friction between the box and ramp is 0.6. What is the weight of the box? What is the normal force acting on the box? What is the force of friction acting on the box?   Assuming the worker pushes the box up the ramp with a constant velocity, how much work does the factory worker do on the box in order to get it into the truck?   How much gravitational potential energy does the box have once it reaches the top of the ramp?