Answer:
Explanation:
Given equation is ,
x =t + 2 t³ ,
dx/dt = velocity ( v ) = 1 + 6 t²
a) kinetic energy = 1/2 m v² = .5 x 4 ( 1 + 6 t² )² = 2 ( 1 + 6 t²)²
b ) Acceleration = dv /dt = 12 t .
force( F ) = mass x acceleration = 4 x 12 t = 48 t
Power = force x velocity = 48 t x ( 1 + 6 t²). = 48 t + 288 t³ )
work done = ∫ F dx =∫ 48 t x( 1 + 6t² )dt ; = [48t²/2 + 48 x 6 x t³ /3 = 24 t² + 96 t³ )]₀² = 864 J
Answer:
The number of paces it would take to get to the Moon is 213,555,556 paces
Explanation:
The given length of Mr Galan's paces = 1.8 m/pace
The distance from the Earth to the Moon is, 384,400 km = 384,400,000 m
Therefore, the number of paces, "n", it would take to get to the Moon from the Earth is given as follows;
n = (The distance from the Earth to the Moon)/(The length of each Mr Galan's paces)
∴ n = 384,400,000 m/(1.8 m/pace) = 213,555,556 paces
The number of paces it would take to get to the Moon = n = 213,555,556 paces
Answer:
I'll try and find the answer for you:)
Explanation:
I can't promise you I will though
Work = force x distance
So we are looking for something related to displacement.
The work done must also be done in the same direction, parallel to the displacement, and therefore in the same direction of the motion as well.
So:
In order to do work, the force vector must be in the same direction as the displacement vector and the motion.
Answer: 240.25joules
Explanation:
Work is done when force is applied on an object over a distance. It is measured in joules.
Thus, Workdone = Force x distance
Since, Work = ? (unknown value)
Force = 77.5N
Distance = 3.1metres
Workdone = 77.5 N x 3.1metres
= 240.25 joules
Thus, Amanda did a work of 240.25joules on the crate
