1 I n spa ce , Asteroid A, ca l l ed Dimorphos tra ve l s a t co n sta n t speed in a ic rcl e a rou n d a l a rg er
Asteroid B, ca l l ed Didymos. T he dia g ra m show s Asteroid A a t position P.
Asteroid B
Didymos
Asteroid A
Dimorphos P
r0 = 1.19 km
T he dista n c e r0 b etw een Asteroid A a n d Asteroid B is 1.19 km.
T he time T0 f or Asteroid A to tra ve l on c e a rou n d Asteroid B is 4 .2 9 × 104 s ( 11 hou rs 5 5 min u tes) .
(a) C a l cu l a te the a ve ra g e speed v, in m s– 1, of Asteroid A.
v = ................................................. m s– 1 [2]
(b) E px l a in one simil a rity a n d one dif f eren ce b etw een the ve l oci ty of Asteroid A a t P a n d its ve l oci ty
six hou rs l a ter.
simil a rity ...........................................................................................................................................
dif f eren ce .........................................................................................................................................
, 3
(c) I n 2 02 2 , the N AS A DAR T mission impa ct ca u sed Asteroid A to f ol l ow a dif f eren t ci rcu l a r pa th
rou n d Asteroid B.
T he n ew time TN f or Asteroid A to tra ve l on ce a rou n d Asteroid B w a s redu ce d b y 3 0 min u tes.
(i) S how tha t the ra tio
n ew time to tra ve l a rou n d Asteroid B TN
orig in a l time to tra ve l a rou n d Asteroid B T0
is a pprox ima tel y 0.95 8 .
[1]
(ii) T he rel a tion ship b etw een the dista n ce r f rom the ce n tre of Asteroid B to the ce n tre of Asteroid A
a n d the time T f or Asteroid A to tra ve l a rou n d Asteroid B is
r3 ∝ T2
C a l cu l a te the n ew dista n ce rN f rom the ce n tre of Asteroid B to the ce n tre of Asteroid A.
G ive you r a n sw er in km a n d to 3 sig n if ica n t f ig u res.
rN = .................................................... km [3]
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