Question

Calculate the force required to impart a velocity of 30m/s in 10 sec ,if the mass of the body is 1.5 ton

Answer 1

Answer:

4500 N

Explanation:

We know that force can also be called as the rate of change of momentum and hence we can freely apply the formulas given to calculate force:

• F=ma

• F*t=Pf-Pi
• P=mv

where

F=force acting on the body

m=mass of the body

a=acceleration of the body

t=time for which the force is imparted

Pf=final momentum of the body

Pi=initial momentum of the body

We are given that:

u=0 m/s

v=30 m/s

t=10 s

m=1.5 ton=1.5*1000 kg

=1500 kg

We can write the formula to be used as:

F*t=m*v-m*u

Since all the required values are with us we can directly plug in the values to get force

F*10=1500*30-1500*0

F*10=45000

F=4500 N

Therefore the force required is 4500 N

Hope this helps

Answer 2

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Force\:applied=4500\:N}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

• In the given question information given about a body of mass 1.5 ton and its final velocity and time is given.

• We have to Calculate the force required to impart a velocity of 30m/s in 10 sec.

$\underline \bold{Given :} \\ \implies Mass \: of \: body = 1.5 \: ton \\ \\ \implies Initial \: velocity(u) = 0 \\ \\ \implies Final \: velocity (v)= 30 \: ms \\ \\ \implies Time = 10 \: sec \\ \\ \underline \bold{To \: Find : } \\ \implies Force \: required = ?$

• According to given question :

$\bold{mass = 1.5 \: ton = 1500 \: kg} \\ \\ \bold{ By \: formula \: of \: force : } \\ \implies F = ma - - - - - (1)\\ \\ \bold{F = Force} \\ \bold{m = Mass} \\ \bold{ a = Acceleration} \\ \\ \bold{by \: first \: equation \: of \: motion : }\\ \implies v = u + at \\ \\ \implies v - u = at \\ \\ \implies \bold{a = \frac{v - u}{t} }- - - - - (2) \\ \\ \bold{Putting \: value \: of \: a \: in \: (1)} \\ \implies F = m \times \frac{v - u}{t} \\ \\ \implies F = 1500 \times \frac{3 \cancel{0 }- 0}{ \cancel{10}} \\ \\ \implies F= 1500 \times 3 \\ \\ \bold {\implies F= 4500 \: N} \\ \\ \bold{\therefore Force \: applied \: to \: move \: the \: body } \\ \: \: \: \bold {at \: 30 \: ms \: is \: 4500 \: N}$