# science

A stone of mass 20g is projected vertically upward with a catapult whose rubber has a force constant of 72Nm-1. If the tension in the cord at the point of release is 36N, find
(a) the velocity of projection of the stone
(b) the maximum height attained by the stone

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1. It always help to draw a diagram
Hooke's law F=kx

x is the extension of the spring

Force F is acting on the stone when it is still in the catapult, travelling distance x.

x=F/k=36/72

Initial velocity u = 0
"Final" velocity v = ?
Acceleration a = F/m - mg
Displacement x

a) We can use kinematics formula v^2=u^2-2as

Sub in the values to get v

b) Use the same formula. This time, the final velocity is 0(At maximum height). Our initial velocity is the velocity found in (a). a is now only the weight - no other force is acting on the stone.

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2. A catapult is use to project a stone of a mass 50kg.If the rubber of the catapult has an elastic constant of 200Nm ^-1and was stretch 5cm. What speed can it gives to the mass?

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4. Use V=square root of FL/M. You can get your F from F=ma and L=e/k

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5. jack

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6. a cataputt is used to project a stone of mass 50g. if the rubber of the catapult has an elastic constant of 200-1 and was stretched 5cm. what speed can it given to the mass

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