A cart for hauling ore out of a gold mine has a mass of 433 kg, including its load. The cart runs along a straight stretch of track that is sloped 4.29 degrees from the horizontal. A donkey trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 547-N force for a distance of 185m by means of a rope that is parallel to the ground and makes an angle of 11.3 degrees with the track. The coefficient of friction for the cart's wheels on the track is 0.0113. Take g=9.81m/s^2.

1. Find the work that the donkey performs on the cart during this process. J

2. Find the work that the force of gravity performs on the cart during the process.
J

3. Calculate the work done on the cart during the process by friction.
J

Answer: a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same sign as the  -4.0  µc charge.======electricstatic force between two point charges  is given by    where k is coulomb's constant,  8.99×10⁹  n·m²/c², q₁ and q₂ are the point charges, and r is the distance between the two point charges.assign positive to q₁let q₁ =  6.0 µc, q₂ = -4.0  µc, q₀ represent the charge at the origin, and q₃ represent this new charge to place.the charge at the origin q₀ would experience the following force f₀₁ from q₁, with r = 6.0 m (note that 1  µc = 10⁻⁶ c)    the force from q₂    the force from q₃    the net force on the origin charge, q₀, has to be zero for no electrostatic forcehaving an equation where k and q₀ can be divided out of the equation will allow us to solve for q₃    isolating:     a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same as the  -4.0  µc charge

How is it possible that phylogenies based on sequences from nuclear genomes and organellar genomes (i.e., chloroplasts and mitochondria) from the same group of species yield phylogenetic trees with different branching orders?   answer :   the genome of the endosymbiont is more closely related to members of the group in which it originally evolved, while the nuclear genome of the engulfing organism has its own evolutionary trajectory.