Test IX- Maths &
Science Euclid Geometry&
Force
Maths
1.
Define
(a) A Point
(b) A Line
(c) A Straight Line
2.
What is an axiom
( Postulate). How these differ from a Theorem.
3.
Prove that an
equilateral triangle can be constructed on any line segment.
4.
Theorem: Prove
that two line cannot have more than one
point in common.
5.
Write all five
postulates of Euclid. Elaborate 5th
postulate.
Science
1. A truck of mass 500 kg
moving at at 4 m/s collides with another truck of mass 1500 kg moving at 2 m/s
in the same direction. What is their common velocity just after the collision
if they move together ? [ 2.5 ]
2. A girl of mass 50kg jumps
out of a rowing boat of 300 kg on to the bank, with a horizontal velocity of 3
m/s. With what velocity does the boat begin to move backward ? [ 0.5 ]
3. Explain why, it is easier to
stop a tennis ball than a cricket ball moving with the same speed.
4.
A 1000 kg vehicle moving with a speed of 20 m/s is brought to rest in a
distance 50 metres:
(i) Find the acceleration. - 4 m/s2
(ii) Calculate the unbalanced force acting on
the vehicle. - 4000 N
5. A ball P of mass 2 kg
traveling at 2 m/s has a collision with another identical ball Q at rest .Ball
P stop and Q starts moving. Calculate the velocity of Q after collision. [ 2
]
6. A boy tries to move a body
by applying force of 10 N and it doesn’t move. He increases the force to 14 N
but still he can’t move it. Calculate the change in force of friction from
first to second case.
7. Explain the second law of
motion. Derive it mathematically.
No comments:
Post a Comment