Q. 1.A runner is running on a circular track, which is 200 m in circumference. Find the magnitude of his acceleration in m/s2 when he is running at a constant speed of 8.7 m/s.

2.A 529 kg automobile slides across an icy street at a speed of 66.0 km/h and collides with a parked car which has a mass of 856 kg. The two cars lock up and slide together. What is the speed of the two cars just after they collide?

3.A ball with mass 3.5 kg is thrown horizontally with a velocity of 6.9 m/s at a cart of mass 21.3 kg as shown. The ball bounces back with a velocity of -2.971 m/s. The collision is not elastic. Friction between the cart and the road surface can be neglected. What is the final velocity of the cart?

4.A 230 kg satellite is orbiting on a circular orbit 6870 km above the Earth's surface. Determine the speed of the satellite. (The mass of the Earth is 5.98×1024 kg, and the radius of the Earth is 6370 km.)

5.A mechanic can exert a maximum force of 26 N. He has a wrench of length 0.8 m. What is the maximum torque he can apply to a bolt using that wrench?

6.Two wires support a massive beam of length L=16 m and mass 330 kg as shown in the figure above. A box of mass 220 kg hangs from a wire which hangs from the beam a distance x=12 m away from the left edge of the beam. What is the tension in the RIGHT support wire?

7.The work done in accelerating a flywheel from rest to an angular speed of 18.5 revolutions per second is 17.5 kJ. What is the moment of inertia of the flywheel?

8.A large tree trunk is floating in the sea. The density of the sea water is 1025 kg/m3, the density of the trunk is 650 kg/m3. What fraction of the trunk's volume is above the surface of the water?

9.During a bad weather day with an atmospheric pressure of 0.9 atm a submarine dives at a depth of 11.3 m. The inside of the submarine is held at a pressure of 1.2 atm. What is the minimum force needed for someone inside the submarine to push open the circular escape hatch with a diameter of 0.8 m in an emergency? (The hatch is located on the side of the submarine - assume the hatch is at the nominal diving depth, density of water is 1000 kg/m^3)