Model Rockets Can Go Pretty Fast

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

  • Neglect air resistance.


The answer is 200.

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13 solutions

Noel Lo
Oct 7, 2013

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

Daniel Ferreira
Oct 7, 2013

Inicialmente, devemos encontrar o tempo decorrido.

I = F × Δ t I = ( P × g ) × Δ t 10 = ( 0.05 × 9 , 8 ) × Δ t 0.49 Δ t = 10 Δ t = 20 , 4 s \\ I = F \times \Delta t \\\\ I = \left ( P \times g \right ) \times \Delta t \\\\ 10 = \left ( 0.05 \times 9,8 \right ) \times \Delta t \\\\ 0.49\Delta t = 10 \\\\ \Delta t = 20,4 \, s

Com isso,

V = V o + α × t V = 0 + 9.8 × 20.4 V = 199.92 m/s \\ V = V_o + \alpha \times t \\\\ V = 0 + 9.8 \times 20.4 \\\\ \boxed{V = 199.92 \; \text{m/s}}

Andi M
Mar 6, 2014

I = P I = \triangle P which P 1 = m V P_{1}=mV and P 2 = m 0 P_{2}=m0 so, 10 = 0.05 V 0 , V = 200 m s 10=0.05V-0, V = 200\frac{m}{s}

Yogesh Ghadge
Apr 30, 2014

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

Shubham Sharma
Jan 20, 2014

impulse=change in momentum 10=50 x 10^(-3) x v hence v=300m/s

200*

Naveera Rizvi - 7 years, 3 months ago

that is wrong the answer is 200

Harshit Sharma - 7 years, 3 months ago

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.

Budi Utomo
Dec 24, 2013

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...

Rafael Muzzi
Dec 17, 2013

O impulso é igual a quantidade de movimento

I=Q

10=0,05*V

V=200m/s

Ewerton Cassiano
Dec 15, 2013

Impulse = Mass * time. So, Impulse = 10 N s 10 N*s , mass = 0.05 kg, time = ???.

time:= i m p u l s e m a s s \frac{impulse}{mass} = 10 0.05 \frac{10}{0.05} = 10 100 5 \frac{10*100}{5} = 2 E + 2 \boxed{2E+2} seconds or 200 \boxed{200} seconds

It's wrong, I'm sorry

Ewerton Cassiano - 7 years, 5 months ago
나 가수
Oct 12, 2013

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

나 가수 - 7 years, 8 months ago
Ziyad Syauqi
Oct 12, 2013

Impulse equals to delta (change in) momentum = m × v m \times v

so, 10 = 0.05 × v 10 = 0.05 \times v

v = 200 v = 200

10/50*10E-3=200

what is the process

swamicharan medisetti - 7 years, 8 months ago

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