Final answer:
To calculate the force required to push a 15kg object up a 13m ramp rising 5m with no friction, we use W = mgh to determine work against gravity, then divide by ramp length to find the force, as in F = W/d.
Step-by-step explanation:
The force required to push a 15kg object to the top of a ramp that is 13 meters long and rises 5 meters, assuming no friction, can be calculated using the work-energy principle. Since there is no friction, the only force to overcome is the gravitational force acting on the mass in the vertical direction.
The work done against gravity to elevate the object by 5 meters is equal to the change in gravitational potential energy, which is given by the formula W = mgh, where W is work, m is mass, g is the acceleration due to gravity (9.81 m/s²), and h is height. For the 15kg object, height h = 5m, so the work required is W = 15kg * 9.81m/s² * 5m. Calculate this to find the energy required to lift the object to the top of the ramp.
However, this question asks for force, not work. Since the ramp is 13 meters long, the force required is the work done divided by the distance of the ramp (W = F * d), where F is force and d is distance. Therefore, the force required is given by F = W/d. First, calculate the work done against gravity, and then use this value to find the force required to push the object up the ramp.