Een paar wiskundige vragen in het engels

Wiskunde is niet alleen een vak op school. Kom je ergens in de praktijk (bijvoorbeeld tijdens je werk) een wiskundig probleem tegen dan kun je hier om hulp vragen.
roady
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Lid geworden op: 21 mei 2014, 14:38

Een paar wiskundige vragen in het engels

Bericht door roady » 21 mei 2014, 15:10

Hier al een paar vragen in het engels, mijn wiskunde is niet zo sterk dus daarom post ik ze hier. Alvast bedankt voor de hulp. Ik heb wel nog zo een lijstje of 13. Ik probeer ook wel zoveel mogelijk zelf te zoeken.

1. A geocacher on the hunt for a First To Find moves along a straight line of bushes, such that their velocity v m/s, given in terms of time t seconds, is v=(1/2)t^2 – 3t +4. A= the total distance traveled between t=0 and t=4, in metres.
2. Two particles, G and H, of masses 2m and m, are on a smooth horizontal table. H is at rest and G collides with it when it is moving with speed u. After the collision, the total kinetic energy of the two particles is (3/4) m*u^2 (where * means multiply). The coefficient of restitution between the two particles is 1/B. Find B.
3. A hollow right circular cone, with base of radius r and height h, is fixed with its axis vertical and vertex downwards. A particle moves with constant speed v in a horizontal circle of radius (1/3)*r on the smooth inner surface of the cone. V=sqrt(h*g/C), where sqrt means square root. Find C.
4. A particle of mass 4kg is moving along the horizontal x-axis under the action of a single force which acts in the positive x-direction. At time t seconds, the force has magnitude (1+3t^(1/2))N. When t=0, the particle has speed 2m/s in the positive x-direction. D=the work done by the force in the interval from t=0 to t=4, written to one significant figure. Find D.
5. A light elastic string has natural length 10m and modulus of elasticity 130N. The ends of the string are attached to fixed points P and Q, which are at the same horizontal level and 12.6m apart. An object is attached to the midpoint of the string and hangs in equilibrium at a point 1.6m below PQ. Find E, the weight of the object, to 2 significant figures.

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