An object of mass 2kg raised to a height 10m possess potential energy of 200J. What is the kinetic energy and potential energy at a height 4 metre?

Explanation:

✠ This question says that there is an object and its mass is 2 kg ; it's raised to a height 10 m and possess potential energy of 200 J. Now this question ask us to find the kinetic energy and the potential energy at a height 4 metre.

✰ Mass = 2 kilograms

✰ Raised height = 10 metres

✰ Posses potential energy = 200 Joules

✰ Kinetic energy at a height 4 metre

✰ Potential energy at a height 4 metre

✰ Kinetic energy at a height 4 metre = 120 J

✰ Potential energy at a height 4 metre = 80 J

✰ Potential energy formula.

✰ Potential energy = mgh

✰ Potential energy as P.E

✰ Mass as m

✰ Joules as J

✰ Height as h

✰ Raised height as g

↦ Potential energy = mgh

↦ Potential energy = 2 × 10 × 4

↦ Potential energy = 20 × 4

↦ Potential energy = 80 J

↦ Kinetic energy = Posses potential energy - Finded potential energy

↦ Kinetic energy = 200 J - 80 J

↦ Kinetic energy = 120 Joules

An object of mass 2kg raised to a height 10m possess potential energy of 200J.

What is the kinetic energy and potential energy at a height 4 metre?

from energy conservation,

potential energy at 10m height =potential energy +kinetic energy at 4 m

potential energy at 10 m height=200

let,Kinetic energy at 4m=KE

potential energy at 4m=PE

so,

potential energy at 4m height =

Hence,

kinetic energy at 4m is =200-80=120J

truck y has a greater velocity than truck x.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west