[N94/2/1] A projectile of mass 3.2 x 10-2 kg is fired from a cylindrical barrel of cross-sectional area 2.8 x 104 m2 by means of compressed air. The variation with time of the excess pressure p of the gas in the barrel above atmospheric pressure is shown in the figure below. 60 50 40 p/MPa 30 20 10 1.0 2.0 3.0 4.0 t/ms (a) Calculate (i) the maximum force exerted on the projectile, the acceleration of the projectile which would result from the force calculated in (ii) (i). (b) From the graph, estimate the total change in momentum experienced by the projectile, due to the compressed gas. (c) The speed of the projectile changes from zero to 270 m s1 as it leaves the barrel. What is the change in momentum of the projectile? (d) Compare your answers in (b) and (c) and suggest a possible reason for the difference.
[N94/2/1] A projectile of mass 3.2 x 10-2 kg is fired from a cylindrical barrel of cross-sectional area 2.8 x 104 m2 by means of compressed air. The variation with time of the excess pressure p of the gas in the barrel above atmospheric pressure is shown in the figure below. 60 50 40 p/MPa 30 20 10 1.0 2.0 3.0 4.0 t/ms (a) Calculate (i) the maximum force exerted on the projectile, the acceleration of the projectile which would result from the force calculated in (ii) (i). (b) From the graph, estimate the total change in momentum experienced by the projectile, due to the compressed gas. (c) The speed of the projectile changes from zero to 270 m s1 as it leaves the barrel. What is the change in momentum of the projectile? (d) Compare your answers in (b) and (c) and suggest a possible reason for the difference.
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Answers to part a
![[N94/2/1]
A projectile of mass 3.2 x 10-2 kg is fired from a cylindrical barrel of cross-sectional area
2.8 x 10-4 m2 by means of compressed air. The variation with time of the excess pressure p of
the gas in the barrel above atmospheric pressure is shown in the figure below.
60
50
40
p/MPa
30
20
10
1.0
2.0
3.0
4.0
t/ms
(a)
Calculate
(i)
the maximum force exerted on the projectile,
(ii)
the acceleration of the projectile which would result from the force calculated in
(i).
(b)
From the graph, estimate the total change in momentum experienced by the
projectile, due to the compressed gas.
(c)
The speed of the projectile changes from zero to 270 m s-1 as it leaves the barrel.
What is the change in momentum of the projectile?
(d) Compare your answers in (b) and (c) and suggest a possible reason for the
difference.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a761969-293a-4fdb-858e-d4e3ad0821f2%2F8df96ca9-2472-4d88-8bff-7ea3af127f30%2Fu82j0ib_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[N94/2/1]
A projectile of mass 3.2 x 10-2 kg is fired from a cylindrical barrel of cross-sectional area
2.8 x 10-4 m2 by means of compressed air. The variation with time of the excess pressure p of
the gas in the barrel above atmospheric pressure is shown in the figure below.
60
50
40
p/MPa
30
20
10
1.0
2.0
3.0
4.0
t/ms
(a)
Calculate
(i)
the maximum force exerted on the projectile,
(ii)
the acceleration of the projectile which would result from the force calculated in
(i).
(b)
From the graph, estimate the total change in momentum experienced by the
projectile, due to the compressed gas.
(c)
The speed of the projectile changes from zero to 270 m s-1 as it leaves the barrel.
What is the change in momentum of the projectile?
(d) Compare your answers in (b) and (c) and suggest a possible reason for the
difference.
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