Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Chapter 9, Problem 3ASA
Why are the heights measured to the center of mass of the pendulum-ball system?
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A bullet of mass 10 gm strikes a ballistic pendulum of mass 2 kg. The center of mass of the pendulum rises a vertical distance of 12 cm. Assuming the bullet remains embedded in the pendulum, calculate its initial speed.
A bullet of mass 4.3 g strikes a ballistic pendulum of mass 3.4 kg. The center of mass of the pendulum rises a vertical distance of 9.3 cm. Assuming that the bullet remains embedded in the pendulum, calculate the bullet's initial speed.
Chapter 9 Solutions
Physics Laboratory Experiments
Ch. 9 - In terms of the variables given in GL Fig. 9.1,...Ch. 9 - If the horizontal momentum is considered to be...Ch. 9 - Write an equation for the conservation of momentum...Ch. 9 - Verify that your equation has the masses and the...Ch. 9 - How are Eqs. 2 and 3 related by the conservation...Ch. 9 - Prob. 6EPCh. 9 - Prob. 7EPCh. 9 - Prob. 8EPCh. 9 - Prob. 9EPCh. 9 - Prob. 1ASA
Ch. 9 - Why is it justified to say that the momentum in...Ch. 9 - Why are the heights measured to the center of mass...Ch. 9 - After the horizontal projectile leaves the gun,...Ch. 9 - How is the location where the ball strikes the...Ch. 9 - Besides the range, what else is needed to...Ch. 9 - For a given initial velocity, how does the range...Ch. 9 - Theoretically, the angle of projection for maximum...Ch. 9 - Is the collision between the ball and the pendulum...Ch. 9 - Expressing the kinetic energy in terms of momentum...Ch. 9 - Prob. 5QCh. 9 - What effect does the force of gravity have on the...Ch. 9 - What effect would air resistance have on the range...Ch. 9 - Prob. 9Q
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- Two particles of masses m1 and m2 separated by a horizontal distance D are released from the same height h at the same time. Find the vertical position of the center of mass of these two particles at a time before the two particles strike the ground. Assume no air resistance.arrow_forwardTwo particles of masses m1 and m2 move uniformly in different circles of radii R1 and R1 about the origin in the x, y-plane. The coordinates of the two particles in meters are given as follows ( z=0 for both). Here t is in seconds: x1(t)=4cos(2t) y1(t)=4sin(2t) x2(t)=2cos(3t2) y2(t)=2sin(3t2) a. Find the radii of the circles of motion of both particles. b. Find the x- and y-coordinates of the center of mass. c. Decide if the center of mass moves in a circle by plotting its trajectory.arrow_forwardDerive the equations giving the final speeds for two objects that collide elastically, with the mass of the objects being m1 and m2 , and the initial speeds being v1,i and v2,i=0 (i.e., second object is initially stationary).arrow_forward
- Find the center of mass of a one-meter long rod, made of 50 cm of iron (density 8gcm3 ) and 50 cm of aluminum (density 2.7gcm3 ).arrow_forwardWhere is the center of mass of a slice of pizza that was cut into eight equal slices? Assume the origin is at the apex of the slice and measure angles with respect to an edge of the slice. The radius of the pizza is R.arrow_forwardA 2.00-kg particle has a velocity (2.00i3.00j)m/s, and a 3.00-kg particle has a velocity (1.00i+6.00j)m/s. Find (a) the velocity of the center of mass and (b) the total momentum of the system.arrow_forward
- A ballistic pendulum is used to measure the speed of bullets. It comprises a heavy block of wood of mass M suspended by two long cords. A bullet of mass m is fired into the block horizontally. The block, with the bullet embedded in it, swings upward (Fig. P10.70). The center of mass of the combination rises through a vertical distance h before coming to rest momentarily. In a particular experiment, a bullet of mass 40.0 g is fired into a wooden block of mass 10.0 kg. The blockbullet combination is observed to rise to a maximum height of 20.0 cm above the blocks initial height. a. What is the initial speed of the bullet? b. What is the fraction of initial kinetic energy lost after the bullet is embedded in the block? FIGURE P10.70arrow_forwardIf 1 of the Earth’s mass were transferred to the Moon, how far would the center of mass of the Earth-Moon-population system move? The mass of the Earth is 5.971024kg and that of the Moon is 7.341022kg . The radius of the Moon’s orbit is about 3.84105m .arrow_forwardFind the center of mass of a uniform thin semicircular plate of radius R. Let the origin be at the center of the semicircle, the plate arc from the +x axis to the -x axis, and the z axis be perpendicular to the plate.arrow_forward
- Check Your Understanding Notice that the mass of the air in the tank was neglected in the analysis and solution. How would the solution method changed if the air was included? How large difference do you think if would make in the final answer?arrow_forwardWhere is the center of mass of the system of particles shown in the figure located?arrow_forwardhow do you locate the center of mass (CM) of a right-angled triangle without using calculus?arrow_forward
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