A sled rider with a combined mass of 50.0kg are at the top of a hill of a 14m above the level of ground below. The sled is given a push providing an initial kinetic energy of 1700J. What is the potential energy at the top of the hill? After the push, what is the total enetgy on the top of the hill? What will be the kinetic energy at the bottom of the hill?
need the answer, how can i give what i don't have
To determine the potential energy at the top of the hill, we can use the formula:
Potential energy (PE) = mass (m) * acceleration due to gravity (g) * height (h)
Given:
Mass (m) = 50.0 kg
Height (h) = 14 m
Acceleration due to gravity (g) = 9.8 m/s^2 (approximate)
Substituting the values into the formula, we have:
PE = 50.0 kg * 9.8 m/s^2 * 14 m
PE = 6860 J
So, the potential energy at the top of the hill is 6860 Joules.
To find the total energy at the top of the hill, we need to consider both kinetic energy (KE) and potential energy (PE). The total energy is the sum of these two forms of energy.
Total energy at the top of the hill = Potential energy (PE) + Initial kinetic energy (KE)
Given:
PE = 6860 J
Initial KE = 1700 J
Substituting the values, we get:
Total energy at the top of the hill = 6860 J + 1700 J
Total energy at the top of the hill = 8560 J
So, the total energy at the top of the hill is 8560 Joules.
To find the kinetic energy at the bottom of the hill, we need to consider the conservation of energy. The total energy at the top of the hill is equal to the sum of the potential energy at the top of the hill and the kinetic energy at the bottom of the hill.
Total energy at the top of the hill = Potential energy at the top of the hill + Kinetic energy at the bottom of the hill
Given:
Total energy at the top of the hill = 8560 J
Potential energy at the top of the hill = 6860 J
Rearranging the formula, we get:
Kinetic energy at the bottom of the hill = Total energy at the top of the hill - Potential energy at the top of the hill
Substituting the values, we have:
Kinetic energy at the bottom of the hill = 8560 J - 6860 J
Kinetic energy at the bottom of the hill = 1700 J
So, the kinetic energy at the bottom of the hill is 1700 Joules.