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- In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a warm TV set. Ignoring air resistance, calculate the position and velocity of the cat after (a) 0.100 s, (b) 0.200 s, and (c) 0.300 s.Large birds like pheasants often walk short distances. Small birds like chickadees never walk. They either hop or fly. Why might this be?46. A basketball player jumps straight up for a ball. To do this, he lowers his body 0.300 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.900 m above the floor. (a) Calculate his velocity when he leaves the floor. (b) Calculate his acceleration while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.300 m. (c) Calculate the force he exerts on the floor to do this, given that his mass is 110 kg.
- (5) In 1992, a 14 kg meteorite struck a car in Peekskill, NY, leaving a 20-cm-deep dent in the trunk. (a) If the meteorite was moving at 500 m/s before striking the car, what was the magnitude of its acceleration while stopping? Indicate any assumptions you made. (b) What other questions can you answer using the data in the problem?A body starts from the origin and moves along the X-axis such that the velocity at any instant is given by (41' - 21) , where + is in sec and velocity inm is. What is the acceleration of the particle at t=1s? 28 m /s? (a) (b) 22 m /s? (c) 12 m /s? (d) 10 m/ s²Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can only withstand about 1.3 kN. If a 140g baseball strikes your head at 30 m/s and stops in 0.0015 seconds, what is the magnitude of the balls deceleration? Express your answer in meters per second squared
- 2. An object is initially suspended at the height yo = 200 m above the surface of the Earth and at time to = 0 it is hurled downwards, with initial velocity -10 m/s. Neglecting air resistance, write an IVP for the object's velocity and solve it. Use g = 9.8.When you do a chin-up, you raise your chin just over a bar (the chinning bar), supporting yourself with only your arms. Typically, the body below the arms is raised by about 30 cm in a time of 1.0 s, starting from rest. Assume that the entire body of a 680-N person doing chin-ups is raised by 30 cm, and that half the 1.0 s is spent accelerating upward and the other half accelerating downward, uniformly in both cases. Draw a free-body diagram of the person’s body, and use it to find the force his arms must exert on him during the accelerating part of the chin-up. Show complete solution.A wrench is dropped from the top of a tall tower. It takes 3.07 s to reach the ground. How tall is the tower, in meters? Assume the wrench’s initial velocity is zero, use 9.80 m/s2 as the acceleration due to gravity, and assume air drag does not matter.
- Can you give a practical example of how a body can still accelerate even without changing its speed? If you can, give me an example and an explanation of itA body starts from rest and travels with a uniform acceleration of 20 m/s^2. Calculate the time taken by the body to cover a distance of 90 meters.2/215 The pulley system of the previous problem is modi- fied as shown with the addition of a fourth pulley and a third cylinder C. Determine the relationship which governs the velocities of the three cylinders, and state the number of degrees of freedom. Express all velocities as positive down. C A B