Question

5. A 3000kg space vehicle consists of a 2000kg main capsule and a 1 000 kg probe. The space vehicle is travelling at 100m/s when an explosion occurs between the capsule and the probe. As a result, the probe moves forward at 1 50 m/s, as shown in the diagram below.

5. A 3000kg space vehicle consists of a 2000kg main capsule and a 1 000 kg probe. The space vehicle is travelling at 100m/s when an explosion occurs between the capsule and the probe. As a result, the probe moves forward at 1 50 m/s, as shown in the diagram below. Before Anet 100 m/s 150 m/s 2000 ks 10 ks) 2000 K M 3100015 main capsule Figure 2: (a) The average forces on the main capsule and the probe during collision see figure 2) (i) is incorrect both forces must point right] (ii) is incorrect both forces must point left] (iii) is correct because of the third law) (iv)non of the above (b) The speed of the main capsule after the explosion is: (i)225m/s (ii)150m/s (iii) 75.0m/s (iv)non of the above (c) The magnitude of the impulse given to the probe is: (1)1.50 x 10'Ns (ii) -5.00 x 10'Ns (iii) 5.00 x 10'Ns (iv)non of the above

Answer 1

Momentum is conserved as explosion is occur due to internal forces. So there is no external force so momentum is conserved.

So

b)

Pi = Pf

3000×100 = 2000×v + 1000×150

v = 75 m/s

a) 3rd option

Is correct because of newton's 3rd law

c)

Impulse to the probe = change in momentum

= 1000×150 - 1000×100 = 5×104 Ns