Model rockets are lightweight rockets powered by very small engines. A typical model rocket has a mass of 50 grams. Similarly, a typical "class C" model rocket engine can produce a total impulse of 10 Newton-seconds. We usually launch model rockets vertically, but if I instead launch this rocket horizontally, how fast would it be going in m/s after the engine burns out?
Details and assumptions
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Inicialmente, devemos encontrar o tempo decorrido.
I = F × Δ t I = ( P × g ) × Δ t 1 0 = ( 0 . 0 5 × 9 , 8 ) × Δ t 0 . 4 9 Δ t = 1 0 Δ t = 2 0 , 4 s
Com isso,
V = V o + α × t V = 0 + 9 . 8 × 2 0 . 4 V = 1 9 9 . 9 2 m/s
I = △ P which P 1 = m V and P 2 = m 0 so, 1 0 = 0 . 0 5 V − 0 , V = 2 0 0 s m
Impulse is equal to mv-mu therefore mass is 50gm , so we should convert it into kg so we get 0.05kg substituting it into equation we will get v-u is equal to 200
impulse=change in momentum 10=50 x 10^(-3) x v hence v=300m/s
200*
that is wrong the answer is 200
The equation for momentum is mass \times velocity . So to find the velocity we must divide 10 Newton Seconds (the SI unit of momentum) by 0.05 kg to get 200 m/s.
We know if F = kg m/s^2, We must thinks that F = (mass x velocity)/time --->then, I = F.t ---> I = m.v/t . t ---> I = mv ----> v = I/m ---> v = 10/(0.05) m/s = 200 m/s. Answer : 200
Yo,as for this just use that impulse formula that is Ft-mv-mu,given m=0.05kg,then u=0m/s,
Ft=mv-mu=10 m(v-u)=10 0.05(v-0)=10 v=10/0.05=200 m/s....thanks...
O impulso é igual a quantidade de movimento
I=Q
10=0,05*V
V=200m/s
Impulse = Mass * time. So, Impulse = 1 0 N ∗ s , mass = 0.05 kg, time = ???.
time:= m a s s i m p u l s e = 0 . 0 5 1 0 = 5 1 0 ∗ 1 0 0 = 2 E + 2 seconds or 2 0 0 seconds
It's wrong, I'm sorry
m = 50 g p = 10 N.s v = ? (p/m)
Since p is N.s, hence it is also kg-m/s , so you only need to convert the mass to kg. So, if m = 50 g, = .05 kg.
Substitution: v = p/m = (10 kg-m/s)/.05 kg = 200 s
m = mass p = impulse v = velocity/speed
Impulse equals to delta (change in) momentum = m × v
so, 1 0 = 0 . 0 5 × v
v = 2 0 0
what is the process
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Note that Change in momentum = Impulse
m(v-u)= p. 0.050kg (v-0) = 10 Ns Hence v = 10 Ns/0.050 kg = 200 m/s