ASSIGNMENT XI PHYSICS
Motion in Plane (Projectile Motion
& Circular Motion)
Q1 What
will be the effect on maximum height of a Projectile when its angle of
Projection is changed from 300 to 600, keeping the same
initial velocity of Projection?
Q2 The
greatest height to which a man can throw a stone is h. What will be the
greatest distance upto which he can throw the stone?
Q3 A Projectile of mass m is fired with velocity
V at an angle θ with horizontal. What is the
change in momentum as it rises to the highest Point of the trajectory?
Q4
For uniform Circular motion,
does the direction of centripetal acceleration depend upon the sense of
rotation?
Q5 When
a knife is sharpened with the help of a rotating grinding stone, the spark
always travel tangentially to it. Why?
Q6 A
skilled gunman always keeps his gun slightly titled above the line of right
while shooting. Why?
Q7 A
machine gun is mounted on the top of a tower room high. At what angle should
the gun be inclined to cover a maximum range of firing on the ground below? The
muzzle speed of the bullet is 150 m/sec, g= 10m/sec2.
Q8 At
what angle should a body be projected with a velocity 24m/sec just to pass over
the obstacle 16m high at a horizontal distance of 32m? Take g= 10m/sec.
Q9 Show
that the motion of one Projectile as seen from another Projectile will always
be a straight line motion.
Q10 An
insect trapped in a Circular groove of radius of 12 cm moves along the groove
steadily and completes 7 revolutions in 100 sec.
i)
What
is the angular speed and the linear speed of the motion?
ii)
Is
the acceleration vector a Constant vector? What is the magnitude?
iii)
What
is its linear displacement?
Q11 A
cyclist is riding with a speed of 27Km/hr. As he approaches a Circular turn on
the rode of radius 80 m, he applies brakes and reduces his speed at the
constant rate of 0.5 m/sec. What is the magnitude and direction of the net
acceleration of the cyclist on the circular turn?
Q12 Find
the angle of Projection at which the horizontal range and maximum height of a
Projectile are equal.
Q13 Two
identical bills are simultaneously thrown towards each other from Points P
& Q horizontally separated by 12m, and situated at heights 4m and 12 m
above the ground respectively. One ball is thrown from P horizontally with a
speed of 12m/sec, while the other is thrown downward with a speed V at angle of
45O to horizontal. The two balls collide in space. Calculate
i)
Time
of collision
ii)
Initial
speed of ball thrown from Point Q.
iii)
Co-ordinates
of the Point of Collision, Given g=10m/sec
Q14 If
R is the horizontal range for θ inclination & h is maximum height reached
by the projectile, show that maximum range is given by 
Q15 From
the top of a building 19.6 m high, a
ball is projected horizontally. After how long does it strike the ground? If
the line joining the Point of Projection to the point where it hits the ground
makes an angle of 450 with the horizontal. What is the initial velocity
of the ball.
Q16 A
stone tied to the end of string 80 cm ling is whirled in a horizontal circle
with a constant speed. If the stone makes 14 repetitions in 25 seconds. What is
the magnitude and direction of acceleration of the stone?
Q17 An
aircraft executes a horizontal loop of radius 1 Km with a steady speed of 900
Km/hr. Compare the centripetal acceleration with the acceleration due to
gravity.
Q18 A
cricketer can throw a ball to a maximum horizontal distance of 100m. How much high above the ground can the
cricketer throw the same ball?
Q19 i) At which Point of Projectile path the speed is
minimum?
ii) At which speed
is maximum?
Q20 If a body moves on the circumference of a
circle with a speed equal to that which it would acquire by falling freely
through half the radius of the circle, then prove that its centripetal
acceleration equals the acceleration of
free ball.
Q21 A
string length 1m is fixed at one end carries a mass 100 gm at other end. The
string makes 2/
radians/sec around the
horizontal circle. Find the tension in the string.
radians/sec around the
horizontal circle. Find the tension in the string.
Q22 At which points on the projectile trajectory
is
i)
P.E.
maximum
ii)
K.E.
maximum
iii)
Total
energy maximum
Q23 Two bodies are
thrown with same initial velocity at angles α and 90-α with the horizontal.
What will be the ration of
i)
Maximum
heights attained by them
ii)
Their
horizontal ranges
Q24 A
boy stands at 39.2 m from a building and throws a ball which just passes
through a window 19.6, above the ground. Calculate the velocity of Projection
of the ball.
Q25 The
ceiling of a long ball is 25m high. What is the maximum horizontal distance
that a ball thrown with a speed of 40m/sec. Can go without hitting the ceiling
of the ball?
Q26 A
stone is Projected horizontally from the top of the tower of height 50 m with a
velocity of 10m/sec . Calculate
i)
Time
taken by ball to reach the ground.
ii)
Velocity
with which it hits the ground.
ASSIGNMENT XI PHYSICS
Motion in Plane (Projectile Motion
& Circular Motion)
Q1 What
will be the effect on maximum height of a Projectile when its angle of
Projection is changed from 300 to 600, keeping the same
initial velocity of Projection?
Q2 The
greatest height to which a man can throw a stone is h. What will be the
greatest distance upto which he can throw the stone?
Q3 A Projectile of mass m is fired with velocity
V at an angle θ with horizontal. What is the
change in momentum as it rises to the highest Point of the trajectory?
Q4
For uniform Circular motion,
does the direction of centripetal acceleration depend upon the sense of
rotation?
Q5 When
a knife is sharpened with the help of a rotating grinding stone, the spark
always travel tangentially to it. Why?
Q6 A
skilled gunman always keeps his gun slightly titled above the line of right
while shooting. Why?
Q7 A
machine gun is mounted on the top of a tower room high. At what angle should
the gun be inclined to cover a maximum range of firing on the ground below? The
muzzle speed of the bullet is 150 m/sec, g= 10m/sec2.
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