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A person is jumping from a height h0 = 10 m with zero initial velocity and a cricket ball is thrown directly upward with an initial velocity v0 = 9.8 m/s at the same instant when time t = 0 s as shown in Fig. 1. Consider h = 11.5 m and i and j to be the unit vectors along the X and Y axis. Gravity is acting along the j direction and the magnitude of gravitational acceleration is given by g = 9.81 m/s2 . The red dot on the person represents his center of mass
(c) Now consider when the person hits the ground, he bends his knees such that the center of mass of his body is lowered by 15 cm. If the maximum force that the bone of his legs can withstand is 50000 N, will he break his legs?
A person is jumping from a height h0 = 10 m with zero initial velocity and a cricket ball is thrown directly upward with an initial velocity v0 = 9.8 m/s at the same instant when time t = 0 s as shown in Fig. 1. Consider h = 11.5 m and i and j to be the unit vectors along the X and Y axis. Gravity is acting along the j direction and the magnitude of gravitational acceleration is given by g = 9.81 m/s2 . The red dot on the person represents his center of mass.
(b) If it takes 0.01 seconds for the person to come to complete rest when he hits the ground, calculate the average force acting on the person
A person is jumping from a height h0 = 10 m with zero initial velocity and a cricket ball is thrown directly upward with an initial velocity v0 = 9.8 m/s at the same instant when time t = 0 s as shown in Fig. 1. Consider h = 11.5 m and i and j to be the unit vectors along the X and Y axis. Gravity is acting along the j direction and the magnitude of gravitational acceleration is given by g = 9.81 m/s2 . The red dot on the person represents his center of mass. (a) if the person and the cricket ball consist of a system, find the position and velocity of the center of mass of the system at time t = 0.5 s. (b) If it takes 0.01 seconds for the person to come to complete rest when he hits the ground, calculate the average force acting on the person. (c) Now consider when the person hits the ground, he bends his knees such that the center of mass of his body is lowered by 15 cm. If the maximum force that the bone of his legs can withstand is 50000 N, will he break his legs?
Consider an automobile moving at v mph that skids d feet after its brakes lock. Calculate how far it would skid if it was moving at 2v and the brakes were locked.
A shopper pushes a grocery cart for a distance 19 M at a constant speed on level ground, against a 25 N frictional force. He pushes in a direction 25.5 degrees below the horizontal.
Two cars A and B travelling in the same direction and stopped at a highway traffic sign. As the
signal turns green car A accelerates at a constant rate of 1m/s2. Two seconds later the second
car B accelerates at constant rate of 1.3m/s2. When will the second car B overtakes the first
car A.
A particle moves along x-axis according to expression x=3t²-2t where x is in metre and t in seconds.
a) What is the displacement of the particles in the time interval
t=0 to t=1
t=1 to t=4
b) Calculate the average velocity for the time intervals in (a)
c) Find the instantenous velocity for a particle at 3 seconds
The maximum energy of a vibrating mass is 3.00 x 10-²2 joules. The amplitude
of oscillation is 2.50 mm with a frequency of 200 Hz.
A. What is the mass of the object? B. What is the maximum acceleration of the object?
C. If the mass affects the vibration frequency (like that of a mass and spring
system), what should the mass be to double the maximum energy? Assume that the oscillation amplitude is not affected.
! Suppose that you have a battery with12v, show that a device operating at 4v can be powered by this battery? If estimate the value of resistance that will be used in your proposed cercuit.
- Determine the wave-number of the wave shown in the figure below, where A = 9.8m and B = 1.3m. Note: Use this notation in writing your unit (Examples: 1/m or 1/s)
- Gusts of wind make the bamboo grass sway back and forth at a vibration frequency of about 0.12Hz. What is its period of vibration?
