Q-1)A motorcyclist drives from place AtoB with a uniform speed of 30 km/h and returns from place BtoA with a uniform speed of 20km/h find his average speed.
Q-2) An aircraft travelling at 600km/h accelerates steadily at 10km/h per second .Taking the speed of sound as 1100km/h at the aircraft altitude ,how long with it take to reach the "sound barrier"?
Q-3)What is the change in momentum of a car weighing 1500kg when it's speed increases from 36km/h to 72km/h uniformly.
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pooja300:
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the answer q.1 we need to get average
the answer 24 km per hour
q.2 is in the photo
q.3 starting momentum: 1500*36 final momentum: 1500*72
That gives you momentum in kg-km/hr
you probably want it in kg-m/s, so you need to convert km/hr to m/s.
the answer 24 km per hour
q.2 is in the photo
q.3 starting momentum: 1500*36 final momentum: 1500*72
That gives you momentum in kg-km/hr
you probably want it in kg-m/s, so you need to convert km/hr to m/s.
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Q1:
Distance from A to B: s km (say)
From A to B : speed u = 30 kmph Time taken: s/30 hrs
B to A : speed v = 20 kmph s/20 hrs
Total time taken for two legs: s* [1/30 +1/20] = s/12 hrs
Average speed = distance/duration = 2s/(s/12) = 24 kmph
Q2:
u = aircraft speed = 600 kmph = 600*5/18 = 3,000/18 m/s
a = acceleration = 10 kmph / sec = 10 * 5/18 m/s² = 50/18 m/s²
speed to reach = speed of sound = v = 1100 km/h
= 1,100*5/18 = 5,500/18 m/s
equation of motion = v = u + a t
t = (v-u)/a = (5,500 - 3,000)/50 sec
= 50 sec
Q3:
Mass of car = m = 1, 500 kg
initial speed = u = 36 km/h = 36*5/18 = 10 m/s
Final speed = v = 72 km/h = 72 * 5/18 = 20 m/s
Momentum = p = mass * speed
Change in momentum = Δp = m (v - u)
= 1, 500 * ( 20 - 10) = 15, 000 kg-m/s
Change in momentum depends on initial and final conditions. Car is traveling in a straight line - it is assumed.
Distance from A to B: s km (say)
From A to B : speed u = 30 kmph Time taken: s/30 hrs
B to A : speed v = 20 kmph s/20 hrs
Total time taken for two legs: s* [1/30 +1/20] = s/12 hrs
Average speed = distance/duration = 2s/(s/12) = 24 kmph
Q2:
u = aircraft speed = 600 kmph = 600*5/18 = 3,000/18 m/s
a = acceleration = 10 kmph / sec = 10 * 5/18 m/s² = 50/18 m/s²
speed to reach = speed of sound = v = 1100 km/h
= 1,100*5/18 = 5,500/18 m/s
equation of motion = v = u + a t
t = (v-u)/a = (5,500 - 3,000)/50 sec
= 50 sec
Q3:
Mass of car = m = 1, 500 kg
initial speed = u = 36 km/h = 36*5/18 = 10 m/s
Final speed = v = 72 km/h = 72 * 5/18 = 20 m/s
Momentum = p = mass * speed
Change in momentum = Δp = m (v - u)
= 1, 500 * ( 20 - 10) = 15, 000 kg-m/s
Change in momentum depends on initial and final conditions. Car is traveling in a straight line - it is assumed.
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