Determine the kinetic energy of (a) a 29-kg mass moving at 122 m/s, (b) a tennis ball weighing 58.5 g moving at 71.3 mph, (c) a beryllium atom moving at 355 m/s, (d) a neutron moving at 3.000 × 10 3 m/s.
Determine the kinetic energy of (a) a 29-kg mass moving at 122 m/s, (b) a tennis ball weighing 58.5 g moving at 71.3 mph, (c) a beryllium atom moving at 355 m/s, (d) a neutron moving at 3.000 × 10 3 m/s.
Determine the kinetic energy of (a) a 29-kg mass moving at 122 m/s, (b) a tennis ball weighing 58.5 g moving at 71.3 mph, (c) a beryllium atom moving at 355 m/s, (d) a neutron moving at 3.000 × 103 m/s.
(a)
Expert Solution
Interpretation Introduction
Interpretation:
Kinetic energy should be calculated in the given statement by using the equation of kinetic energy
Concept Introduction:
Energy is the capacity to do work or transfer heat where work is the movement of a body using some force. The SI unit of energy is joule (J). Energy is in the form of kinetic energy or potential energy. Kinetic energy is the energy associated with motion. Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second.
Explanation of Solution
To find: Determine the kinetic energy of a 29-kg mass moving at 122 m/s (a)
Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second. By considering the given problem, m = 29 kg; u = 122 m/s. Substitute the given values in the formula,
Therefore, the kinetic energy of a 29-kg mass moving at 122 m/s is 2.2 × 105 J
(b)
Expert Solution
Interpretation Introduction
Interpretation:
Kinetic energy should be calculated in the given statement by using the equation of kinetic energy
Concept Introduction:
Energy is the capacity to do work or transfer heat where work is the movement of a body using some force. The SI unit of energy is joule (J). Energy is in the form of kinetic energy or potential energy. Kinetic energy is the energy associated with motion. Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second.
Explanation of Solution
To find: Determine the kinetic energy of a tennis ball weighing 58.5 g moving at 71.3 mph
Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second. By considering the given problem, m = 58.5 g; u = 71.3 mph. Hence, ‘
m’ in g and ‘
u’ in mph should be converted into ‘
m’ in kilograms and ‘
u’ in meters per second.
The mass of the tennis ball in kilograms is
m = 58.5 g ×1 kg1 × 103 gm = 0.0585 kg
The velocity of the tennis ball in meters per second is
u =71.3 mi1 h×1.61 km1 mi×1 × 103 m1 km×1 h60 min×1 min60 su = 31.89 m/s
Therefore, the kinetic energy of a tennis ball weighing 58.5 g moving at 71.3 mph is 29.7 J
(c)
Expert Solution
Interpretation Introduction
Interpretation:
Kinetic energy should be calculated in the given statement by using the equation of kinetic energy
Concept Introduction:
Energy is the capacity to do work or transfer heat where work is the movement of a body using some force. The SI unit of energy is joule (J). Energy is in the form of kinetic energy or potential energy. Kinetic energy is the energy associated with motion. Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second.
Explanation of Solution
To find: Determine the kinetic energy of a beryllium atom moving at 355 m/s (c)
Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second. By considering the given problem, m = 9.102 amu; u = 355 m/s. Hence, ‘
m’ in amu should be converted into ‘
m’ in kilograms.
The mass of a beryllium atom in kilograms is
m = 9.102 amu ×1.661 × 10−24 g1 amu×1 kg1 × 103 gm = 1.4969 × 10−26 kg
Therefore, the kinetic energy of a beryllium atom moving at 355 m/s is 9.43 × 10−22 J
(d)
Expert Solution
Interpretation Introduction
Interpretation:
Kinetic energy should be calculated in the given statement by using the equation of kinetic energy
Concept Introduction:
Energy is the capacity to do work or transfer heat where work is the movement of a body using some force. The SI unit of energy is joule (J). Energy is in the form of kinetic energy or potential energy. Kinetic energy is the energy associated with motion. Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second.
Explanation of Solution
To find: Determine the kinetic energy of a neutron moving at 3.000 × 103 m/s (d)
Kinetic energy (in joule) is calculated using the formula:
Ek=12mu2
where m ‒ mass in kilograms; u – velocity in meters per second. By considering the given problem, m = 1.67493×10−24 g; u = 3.000 × 103 m/s. Hence, ‘
m’ in g should be converted into ‘
m’ in kilograms.
The mass of a neutron in kilograms is
m = 1.67493 × 10−24 g ×1 kg1 × 103 gm = 1.67493 × 10−27 kg
Two types of renewable energy are photovoltaics (solar cells) and wind turbines.
Energy Type
1
nuclear
2
gravitational
3
thermal
4
electric
5
solar
6
chemical
7
kinetic
The energy transformations in a wind turbine, from the sun’s energy to producing electricity are, in order a, b, c.The values of a, b, and c, respectively, are
2. The energy transformations in a solar cell, from the sun’s energy to producing electricity are, in order a, b.The values of a and b, respectively, are
The vitamin niacin (nicotinic acid, C6H5NO2) can be isolated from a variety of naturalsources such as liver, yeast, milk, and whole grain. It also can be synthesized fromcommercially available materials. From a nutritional point of view, which source ofnicotinic acid is best for use in a multivitamin tablet? Why?
An electron in a hydrogen atom travels from energy level n = 2 to energy level n = 4.
A. Would the electron be absorbing or emitting this energy in this transition
B. What is the change in energy (ΔE) for this transition?
Show all work, including units and signs, and give your answer for ΔE to three significant figures.
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