| № |
Condition |
free/or 0.5$ |
| 55223 | A 0.50-kg mass is placed on the end of a vertical spring that has a spring constant of 75 N/m and eased down into its equilibrium position.
(a) Determine the change in spring (elastic) potential energy of the system.
(b) Determine the system’s change in gravitational potential energy. |
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| 55224 | A 0.500-kg mass is attached to a vertical spring and the system is allowed to come to equilibrium. The mass is then given an initial downward speed of 1.50 m/s. The mass travels downward 25.3 cm before stopping and returning.
(a) Determine the spring constant.
(b) What is its speed after it falls 15.0 cm?
(c) What is the acceleration of the mass at the very bottom of the motion? |
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| 55225 | A 0.45-kg piece of putty is dropped from a height of 2.5 m above a flat surface. When it hits the surface, the putty comes to rest in 0.30 s. What is the average force exerted on the putty by the surface? |
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| 55226 | A 0.400-kg piece of ice at – oC is placed in an equal mass of water at 30 oC.
(a) When thermal equilibrium is reached between the two, (1) all the ice will melt, (2) some of the ice will melt, (3) none of the ice will melt.
(b) How much ice melts? |
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| 55227 | A 0.350-kg block moving vertically upward collides with a light vertical spring and compresses it 4.50 cm before coming to rest. If the spring constant is 50.0 N/m, what was the initial speed of the block? (Ignore energy losses to sound and other factors during the collision.) |
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| 55228 | A 0.300-kg ball is thrown vertically upward with an initial speed of 10.0 m/s. If the initial potential energy is taken as zero, find the ball’s kinetic, potential, and mechanical energies
(a) At its initial position,
(b) At 2.50m above the initial position, and
(c) At its maximum height. |
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| 55229 | A 0.25-kg object is suspended on a light spring of spring constant 49 N/m and the system is allowed to come to rest at its equilibrium position. The object is then pulled down 0.10 m from the equilibrium position and released. What is the speed of the object when it goes through the equilibrium position? |
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| 55230 | A 0.25-kg object is suspended on a light spring of spring constant 49 N/m. The spring is then compressed to a position 15 cm above the stretched equilibrium position. How much more energy does the system have at the compressed position than at the stretched equilibrium position? |
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| 55231 | A 0.250-kg coffee cup at 20 oC is filled with 0.250 kg of brewed coffee at 100 oC. The cup and the coffee come to thermal equilibrium at 80 oC. If no heat is lost to the environment, what is the specific heat of the cup material? |
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| 55232 | A 0.250-kg ball is dropped from a height of 10.0 cm onto a spring, as illustrated in Fig. 13.24. If the spring has a spring constant of 60.0 N/m,
(a) What distance will the spring be compressed? (Neglect energy loss during collision.)
(b) On recoiling upward, how high will the ball go? |
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| 55233 | A 0.20-kg rubber ball is dropped from a height of 1.0 m above the floor and it bounces back to a height of 0.70 m.
(a) What is the ball’s speed just before hitting the floor?
(b) What is the speed of the ball just as it leaves the ground?
(c) How much energy was lost and where did it go? |
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| 55234 | A 0.20-kg object with a horizontal speed of hits a wall and bounces directly back with only half the original speed.
(a) What percentage of the object’s initial kinetic energy is lost: (1) 25%, (2) 50%, or (3) 75%?
(b) How much kinetic energy is lost in the ball’s collision with the wall? |
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| 55235 | A 0.20-kg glass cup at is filled with 0.40 kg of hot water at 90 oC. Neglecting any heat losses to the environment, what is the equilibrium temperature of the water? |
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| 55236 | A 0.20-kg billiard ball traveling at a speed of strikes the side rail of a pool table at an angle of (Fig. 6.31). If the ball rebounds at the same speed and angle, what is the change in its momentum? |
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| 55237 | A 0.150-kg baseball traveling with a horizontal speed of 4.50 m/s is hit by a bat and then moves with a speed of 34.7 m/s in the opposite direction. What is the change in the ball’s momentum? |
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| 55238 | A 0.030-kg lead bullet hits a steel plate, both initially at 20oC. The bullet melts and splatters on impact. (This action has been photographed.) Assuming that of the bullet’s kinetic energy goes into increasing its temperature and then melting it, what is the minimum speed it must have to melt on impact? |
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| 55239 | 35Cl and 37Cl are two isotopes of chlorine. What are the numbers of protons, neutrons, and electrons in each if
(a) The atom is electrically neutral,
(b) The ion has a –2 charge, and
(c) The ion has a +1 charge? |
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| 55240 | 31H (tritium) can be produced in water surrounding a strong source of neutrons, such as that occuring in nuclear reactors. One of the ways tritium can form is via neutron capture by deuterium.
(a) Write down the equation for this capture reaction.
(b) Tritium has a half-life of 12.33 years. What percentage of a sample containing will remain after exactly 6 years?
(c) Determine the gamma-ray energy emitted during the capture (assuming the tritium ends up in its ground state and the incoming neutron kinetic energy is negligible).
(d) Write down the reaction for the subsequent beta decay of the tritium and determine the stable daughter identity.
(e) If all the energy released in the beta decay went into the beta particle, determine its energy. |
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| 55241 | 226Ra decays and emits a 4.706-MeV alpha particle. Find the kinetic energy of the recoiling daughter nucleus from the decay of a stationary radium-226 nucleus. |
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| 55242 | 2.00 mol of a monatomic gas at atmospheric pressure has a total internal energy of 7.48 x 103J. What is the volume occupied a rigid cylinder by the gas? |
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