Two objects were lifted by a machine. One object had a mas of 2 kilograms, and was lifted at a speed of 2 m/sec. The other had a mass of 4 kilogram was lifted at a rate of 3 m/sec.
-------------------------------------------
a) Which object had more kinetic energy being lifted?
b) Which object had more potential energy when it was lifted to a distance of 10 meters? Show your calculation.
Help!!!
This didnt help at all😪
it should be obvious tho
To find the answer to both questions, we need to understand the formulas for kinetic energy and potential energy.
a) Kinetic energy is given by the formula: KE = (1/2) * mass * velocity^2.
For the first object:
Mass (m1) = 2 kilograms
Velocity (v1) = 2 m/sec
For the second object:
Mass (m2) = 4 kilograms
Velocity (v2) = 3 m/sec
Now, let's calculate the kinetic energy for each object.
For the first object:
KE1 = (1/2) * 2 * 2^2 = 4 Joules
For the second object:
KE2 = (1/2) * 4 * 3^2 = 18 Joules
Comparing the kinetic energies, we find that the second object had more kinetic energy being lifted because KE2 (18 Joules) is greater than KE1 (4 Joules).
b) Potential energy is given by the formula: PE = mass * gravity * height.
For both objects, we are lifting them to a height of 10 meters. The value of gravity (g) is approximately 9.8 m/s^2.
For the first object:
Mass (m1) = 2 kilograms
Height (h1) = 10 meters
For the second object:
Mass (m2) = 4 kilograms
Height (h2) = 10 meters
Now, let's calculate the potential energy for each object.
For the first object:
PE1 = 2 * 9.8 * 10 = 196 Joules
For the second object:
PE2 = 4 * 9.8 * 10 = 392 Joules
Comparing the potential energies, we find that the second object had more potential energy when lifted to a distance of 10 meters because PE2 (392 Joules) is greater than PE1 (196 Joules).
Therefore, the answers are:
a) The second object had more kinetic energy being lifted.
b) The second object had more potential energy when it was lifted to a distance of 10 meters.
Ke = (1/2) m v^2
(1/2)*2*2^2 = 4 Joules
(1/2)*4*3^2 = 18 Joules
B) m g h
2*g*10
4*g*10
which is bigger?