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TR PROBLEMS: Show your 1. A 1800 Kg car moves around a flat circular road of radius R- 100 m friction available between the tire and the road is 10368 N. Calculate (A) car can have so that it does not get out of the curve (B) the time alLoroblems radius R-100 m. The maximum amount ef (C) the new radius of the bigger circle the car moves on if it moves at a higher s the maxinmum speed the (period) car takes to cosplete ote m/s V29 2. A 500 Kg load, which was initially at rest, is lifted 72 m vertically with an accelerot the tension a» 4 mS2 by a single cable. Calculate (A) the tension in the cable (B) C) the work done by gravity (D) the net work done )the work done by power delivered to the load (E) the final velocity of the load (F) the total 3. A satellite of mass 4800 Kg rotates around the Earth in a circular orbit at an altitude height above the Earths surface) of e s circular orbit (B) the period of the satellite (C) the speed of the satellite (D) the magnitude of the Earths gravitna force on the satellite 4. A block of mass mi- 25 Kg moving initially with a velocity Vue 40 m/s makes a perfectly ELASTIC collision with a block of mass which was initially at rest (V-O) Vir of the 25 Kg block after collision. (B) Calculate the velocity Va of the collision. (C) If the collision time is tm 0.5 s, calculate the force exerted on the 15 (A)Calculate the velocity Kg block during the collision 5. A 3000 Kg car travelling at 55 m/s strikes a second car at rest. The two stick together and move off with a speed or 30 m/s. Calculate (A) the mass of the second car (B) the percentage of KE lost hn the collision. Explain why KE is lost. 6. A 58 Kg skier starts from rest at the top of a 700-m long (diagonally straight) trail which drops a total vertical height H-400 m from top to bottom. At the bottom, the skier is moving with a velocity V- 69 m/s. Calculate (A) the energy dissipated by friction (B) the friction force acting on the skier over the 700 m long trail (C)the inclination angle 0 of the trail (D) the normal force trail exerts on skier (E) the coefficient of friction between skier and trail 7. A 0.02 Kg bullet travelling horizontally at an UNKNOWN initial velocity strikes a 3.98 Kg block of wood sitting at rest on a horizontal flat surface. The block is connected to a spring having a spring constant of K-48 N/m. After collision, the bullet embeds itself in the wood and they move together and compress the spring by a distance X- 0.82 m. The coefficient of kinetic friction between the block and the surface is μ 0.50 Calculate (A) the initial velocity of the bullet (B) the fraction(percentage) of the bullets KE that was lost during the collision 8. A 0.200-Kg bullet travelling at 600 m/s embeds itself in a 7.8 Kg pendulum hanging on a 20 m long string, which makes the pendulum swing upward in an are. Calculate (A) the pendulums vertical displacement ΔΥ (B) the pendulums horizontal displacement A. (C) the angle θ 9. Two objects attract each other gravitationally with a force of 1.54 X107 N when they are 0.25 m apart. Their total mass is 30 Kg. Calculate their individual masses.
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