**Physics Problem: Work Done by Forces on an Inclined Track** --- **Scenario:** A cart for hauling ore out of a gold mine has a mass of 439 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.75° incline. A donkey, which is trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 441 N force for a distance of 185 m by means of a rope that is parallel to the slope but makes an angle of 14.5° with the track. **Assumptions:** Model the rolling resistance of the cart as though it were sliding on the track with a coefficient of friction of 0.0163. Use \( g = 9.81 \, \text{m/s}^2 \), and note that angle A in the image is the angle of the incline while angle B is the angle the rope makes with the track. **Tasks:** 1. **Find the work \( W_d \) that the donkey performs on the cart during this process.** \[ W_d = \_\_\_\_ \, \text{J} \] 2. **Find the work \( W_g \) that the force of gravity performs on the cart during this process.** \[ W_g = \_\_\_\_ \, \text{J} \] 3. **Calculate the work \( W_f \) done on the cart by friction during this process.** \[ W_f = \_\_\_\_ \, \text{J} \] --- **Diagram Explanation:** The image includes a diagram of the scenario with a cart on a track, a donkey pulling the cart via a rope, and labels indicating the track incline (4.75°) and the horizontal ground. The angle \( A \) represents the track's incline, while angle \( B \) shows the angle the rope makes with the track.

A student applies a 100 N force at an angle 30° below the horizontal to a block causing the block to move at a constant speed along a level ground. Which statement regarding the kinetic friction on the block is most accurate? 100 N 30 The kinetic friction force is negligible and can be rounded to 0 N. The kinetic friction force is equal to 100 N. The kinetic friction force is greater than 100 N. The kinetic friction force is less than 100 N. O O O O

An American football player pushes horizontally (with a force of 91 N) on a heavy dummy bag (typically filled with sand and air) and moves it a distance 3.8 m along a horizontal ground at a constant velocity. After this, the player begins to weaken and applies their pushing force in an uneven manner, so that the force resembles a function that looks like Fx = (-x3 + 3x² +91) N for another distance 3.8 m. X Determine the total work done by the player on the dummy bag. W total O Search O J <

You are pulling your luggage in an air port for an international flight. You know not to pack too much else they charge you extra fees so you weighted your luggage at home to be 21.6 kg. You exert a pull of 49 N in magnitude and at 22 degrees above the horizontal to ensure you can walk at a constant speed on the carpeted floor. What is the coefficient of friction between the caster wheels and the carpet?

A pack of four velociraptors have caught a human running through their jungle. Each raptor grabs one limb and pulls as hard as it can. One raptor exerts a force of 50.0 N at an angle of 20.0 ̊. Another exerts a force of 30.0 N at an angle of 130.0 ̊, while a third exerts a force of 90.0 N at 160.0 ̊. If the meal remains stationary, i.e. the total force is 0, at what angle and with what force is the fourth raptor pulling? Note that force is a vector. Force is measured in units called Newtons which is abbreviated N.

A 1280 kg car pulls a 350 kg trailer. the car exerts a horizontal force of 3.6 x 103 N against the ground in order to accelerate. What force does the car exert on the trailer? Assume an effective friction coefficient of 0.15 for the trailer.

14. A 66.0 kg skier with an initial velocity of 9.30 m/s slides up a slope of 35.0° to a height of 2.50 m above where she started. The coefficient of kinetic friction is 0.0750. a. Find the force due to friction on the hill. b. Find the skier's velocity at the top of the hill. V = ? KE₁ Vi 35° 2.5 m

Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 208 m in 3.0 s. The mass of the swallow was estimated to be 0.018 kg, and its cross-section area as 5.6 x 10-4 m2. What was the drag coefficient for this swallow as it dove?

A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?

A 3 kg particle moves along an x axis, being propelled by a variable force directed along that axis. Its position is given by x = 2 m + (2 m/s)t + ct2 - (3 m/s³)t³ with x in meters and t in seconds.The factor c is a constant. At t = 4 s the force on the particle has a magnitude of 33N and is in the negative direction of the axis. What is c? Number Units