Determine the amount of work that must be done to accelerate a 820kg car from 10m/s to 30m/s
4 years ago
Work is just the energy inputed into the system. All you have to do it determine the kinetic energy change going from 10 to 30 m/s
W=KE=(1/2)m*v2^2-(1/2)*m*v1^2
W=KE= (1/2)*820kg*30^2 -(1/2)*820*10^2
W=KE=328 000 J
So 328 000 J energy needs to be put in.
Work = Force. Distance
Work = mass. Acceleration. Distance
Work = m.a.s.
Now, Vf2 - Vi2 = 2.a.s
So,
a.s= (Vf2- Vi2)/2.
Let's, Substitute this outcome in the formula of Work.
Work = m.a.s = m.(Vf2 - Vi2)/2
Work= 820×(302-102)×(1/2)= 328000 J
GIVEN
m = 820 kg
vi = 10 m/s
vf = 30 m/s
EQUATIONS
W = Ef - Ei
Ek = 0.5mv^2
SOLUTION
Substitute our known mass and velocities into the kinetic energy equation and then into the work equation.
W = [0.5*820*30^2] - [0.5*820*10^2]
W = 328,000 J or 328 kJ
4 years ago
Answered By Abdullah A
Work is just the energy inputed into the system. All you have to do it determine the kinetic energy change going from 10 to 30 m/s
W=KE=(1/2)m*v2^2-(1/2)*m*v1^2
W=KE= (1/2)*820kg*30^2 -(1/2)*820*10^2
W=KE=328 000 J
So 328 000 J energy needs to be put in.
4 years ago
Answered By Harsh P
Work = Force. Distance
Work = mass. Acceleration. Distance
Work = m.a.s.
Now, Vf2 - Vi2 = 2.a.s
So,
a.s= (Vf2- Vi2)/2.
Let's, Substitute this outcome in the formula of Work.
So,
Work = m.a.s = m.(Vf2 - Vi2)/2
Work= 820×(302-102)×(1/2)= 328000 J
4 years ago
Answered By Emily D
GIVEN
m = 820 kg
vi = 10 m/s
vf = 30 m/s
EQUATIONS
W = Ef - Ei
Ek = 0.5mv^2
SOLUTION
Substitute our known mass and velocities into the kinetic energy equation and then into the work equation.
W = [0.5*820*30^2] - [0.5*820*10^2]
W = 328,000 J or 328 kJ