we know that momentum is given as
P = mv
where P = momentum , m = mass , v = velocity
taking derivative both side relative to "t"
dP/dt = v (dm/dt)
we know that : dP/dt = F = force
hence
F = v (dm/dt)
given that :
dm/dt = rate of mass expelled = 1500 kg/s
v = velocity = 4 x 10⁴ m/s
hence , inserting the values in the above formula
F = (4 x 10⁴) (1500)
F = 6 x 10⁷ N
Force is defined as the push or pull applied to the body. The forces exerted on a rocket will be 6×10⁷ N.
Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.
The momentum is given by-product of mass and velocity
P = mv
where,
P is the momentum
m is the mass
v is the velocity
The given data in the problem is;
F is the force exerted on a rocket=?
dm/dt is the mass flow rate= 1500 kg/s
V is the speed = 4.0x10^4
The force is obtained by the formula,
[tex]\rm F= V\frac{dm}{dt} \\\\ \rm F=1500\times 4\times10^4 \\\\ \rm F=6\times 10^7 \N[/tex]
Hence the forces exerted on a rocket will be 6×10⁷ N.
To learn more about the force refer to the link;
https://brainly.com/question/26115859
