A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to??
2007-03-15 21:37:51 · 5 answers · asked by Ashish 2 in Science & Mathematics ➔ Physics
it is proportional to t^3/2
i will prove it
P=Fv P is power ,F is force ,v is instantaneous velocity
P is constant
P=m *dv/dt *v and dt=dx/v
hence P=m*v^2*dv/dx
(P/m)*dx=v^2dv
(P/m)x=v^/3
v=k*x^1/3 k is constant
dx/x^1/3=kdt
x^2/3=jt j is other constant
hence x is proportional to t^3/2
2007-03-15 22:43:15 · answer #1 · answered by Anonymous · 0⤊ 0⤋
t power 3/2;t=time
2007-03-16 04:49:10 · answer #2 · answered by viswanathan r 1 · 0⤊ 0⤋
it is proportional to t^3/2
i will prove it
P=Fv P is power ,F is force ,v is instantaneous velocity
P is constant
P=m *dv/dt *v and dt=dx/v
hence P=m*v^2*dv/dx
(P/m)*dx=v^2dv
(P/m)x=v^/3
v=k*x^1/3 k is constant
dx/x^1/3=kdt
x^2/3=jt j is other constant
hence x is proportional to t^3/2
2007-03-16 09:11:13 · answer #3 · answered by anchit_virmani 2 · 0⤊ 0⤋
the distance must be prop.
to the force acting on it!
larger the force larger will be displacement!
2007-03-16 11:13:03 · answer #4 · answered by Arun 2 · 0⤊ 0⤋
t wil be propotional to force
2007-03-16 04:52:39 · answer #5 · answered by AaSHEK 4 · 0⤊ 0⤋