A tennis ball bounces higher on a hill than on a field because Earth's gravitational acceleration decreases on mountains, which is; option [C]. Gravitational acceleration is weaker at higher altitudes due to the greater distance from Earth's center, resulting in less downward force acting on the balRead more
A tennis ball bounces higher on a hill than on a field because Earth’s gravitational acceleration decreases on mountains, which is; option [C]. Gravitational acceleration is weaker at higher altitudes due to the greater distance from Earth’s center, resulting in less downward force acting on the ball. This reduced gravitational force allows the ball to rebound higher after each bounce compared to when it is on a field at lower elevation. Options A and B are not relevant to the increase in bounce height on a hill, as air pressure and the weight of the ball do not directly affect its bounce height in this context. Therefore, the primary reason for the higher bounce on a hill is the decrease in Earth’s gravitational acceleration at higher elevations, enabling the ball to rebound more effectively against the opposing force of gravity. Consequently, option C accurately explains the phenomenon observed when a tennis ball is bounced on a hill compared to a field.
If the gravitational force of the Earth suddenly disappears, then option [A] is correct: The weight of the object will become zero, but the mass will remain the same. Weight is the force exerted on an object due to gravity, calculated as the product of the object's mass and the gravitational accelerRead more
If the gravitational force of the Earth suddenly disappears, then option [A] is correct: The weight of the object will become zero, but the mass will remain the same. Weight is the force exerted on an object due to gravity, calculated as the product of the object’s mass and the gravitational acceleration. In the absence of gravity, weight becomes zero since there is no gravitational force acting on the object. However, mass is an intrinsic property of an object, representing the amount of matter it contains, and remains constant regardless of the gravitational field. Therefore, even without gravitational force, the object’s mass remains unchanged. Option B is incorrect because mass cannot become zero unless the object ceases to exist. Option C is incorrect because mass does not become zero. Option D is incorrect because mass does not increase due to the absence of gravitational force. Thus, option A accurately describes the consequences of the sudden disappearance of Earth’s gravitational force on an object’s weight and mass.
The fraction of the Earth's gravity that is closest to the Moon's gravity is 1/6, which is option [C]. The gravitational acceleration on the Moon's surface is approximately 1/6th of that on the Earth's surface. This means that objects on the Moon weigh approximately 1/6th of their weight on Earth. TRead more
The fraction of the Earth’s gravity that is closest to the Moon’s gravity is 1/6, which is option [C]. The gravitational acceleration on the Moon’s surface is approximately 1/6th of that on the Earth’s surface. This means that objects on the Moon weigh approximately 1/6th of their weight on Earth. The ratio of the Moon’s gravity to Earth’s gravity is commonly expressed as 1/6, making option C the most accurate choice among the provided options. This difference in gravitational acceleration is due to the Moon’s smaller mass compared to Earth, resulting in weaker gravitational attraction. Understanding this fraction is crucial for space exploration and celestial mechanics, as it influences the behavior of objects and spacecraft in lunar orbit and during lunar landings. Therefore, option C accurately represents the relationship between the Earth’s gravity and the Moon’s gravity, highlighting the significance of gravitational forces in astronomical phenomena.
The time period of a pendulum, defined as the time taken for one complete oscillation, depends on its length, which is option B. This relationship is described by the formula for the period of a simple pendulum: T=2π√(L/g )where T is the period, L is the length of the pendulum, and g is the acceleraRead more
The time period of a pendulum, defined as the time taken for one complete oscillation, depends on its length, which is option B. This relationship is described by the formula for the period of a simple pendulum: T=2π√(L/g )where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. The period of a pendulum is independent of its mass, as demonstrated by Galileo’s experiments. It is also unaffected by temperature variations in the absence of significant changes to the pendulum’s length or environmental conditions. However, changes in length, such as altering the position of the pendulum’s pivot or adding additional mass, can impact its period. Therefore, option [B] accurately identifies the primary factor determining the time period of a pendulum, highlighting the fundamental relationship between length and oscillation period in pendulum motion.
Pendulum clocks become slow in summer because the length of the pendulum increases due to thermal expansion, which is; option [C]. As the temperature rises, the pendulum rod expands, causing the effective length of the pendulum to increase. This longer length results in a longer period for each osciRead more
Pendulum clocks become slow in summer because the length of the pendulum increases due to thermal expansion, which is; option [C]. As the temperature rises, the pendulum rod expands, causing the effective length of the pendulum to increase. This longer length results in a longer period for each oscillation, leading to slower timekeeping compared to cooler temperatures. The effect of thermal expansion on the pendulum’s length alters the clock’s timing mechanism, causing it to lose time during warmer weather conditions. This phenomenon is a well-known factor affecting the accuracy of mechanical clocks and is accounted for in their design and calibration. Therefore, option C accurately identifies the reason for the slowdown of pendulum clocks during summer, emphasizing the influence of temperature-induced changes in the length of the pendulum on timekeeping precision.
A tennis ball bounces higher on a hill than on a field because
A tennis ball bounces higher on a hill than on a field because Earth's gravitational acceleration decreases on mountains, which is; option [C]. Gravitational acceleration is weaker at higher altitudes due to the greater distance from Earth's center, resulting in less downward force acting on the balRead more
A tennis ball bounces higher on a hill than on a field because Earth’s gravitational acceleration decreases on mountains, which is; option [C]. Gravitational acceleration is weaker at higher altitudes due to the greater distance from Earth’s center, resulting in less downward force acting on the ball. This reduced gravitational force allows the ball to rebound higher after each bounce compared to when it is on a field at lower elevation. Options A and B are not relevant to the increase in bounce height on a hill, as air pressure and the weight of the ball do not directly affect its bounce height in this context. Therefore, the primary reason for the higher bounce on a hill is the decrease in Earth’s gravitational acceleration at higher elevations, enabling the ball to rebound more effectively against the opposing force of gravity. Consequently, option C accurately explains the phenomenon observed when a tennis ball is bounced on a hill compared to a field.
See lessIf the gravitational force of the Earth suddenly disappears, then which of the following results will be correct?
If the gravitational force of the Earth suddenly disappears, then option [A] is correct: The weight of the object will become zero, but the mass will remain the same. Weight is the force exerted on an object due to gravity, calculated as the product of the object's mass and the gravitational accelerRead more
If the gravitational force of the Earth suddenly disappears, then option [A] is correct: The weight of the object will become zero, but the mass will remain the same. Weight is the force exerted on an object due to gravity, calculated as the product of the object’s mass and the gravitational acceleration. In the absence of gravity, weight becomes zero since there is no gravitational force acting on the object. However, mass is an intrinsic property of an object, representing the amount of matter it contains, and remains constant regardless of the gravitational field. Therefore, even without gravitational force, the object’s mass remains unchanged. Option B is incorrect because mass cannot become zero unless the object ceases to exist. Option C is incorrect because mass does not become zero. Option D is incorrect because mass does not increase due to the absence of gravitational force. Thus, option A accurately describes the consequences of the sudden disappearance of Earth’s gravitational force on an object’s weight and mass.
See lessWhat fraction of the Earth’s gravity is closest to the Moon’s gravity?
The fraction of the Earth's gravity that is closest to the Moon's gravity is 1/6, which is option [C]. The gravitational acceleration on the Moon's surface is approximately 1/6th of that on the Earth's surface. This means that objects on the Moon weigh approximately 1/6th of their weight on Earth. TRead more
The fraction of the Earth’s gravity that is closest to the Moon’s gravity is 1/6, which is option [C]. The gravitational acceleration on the Moon’s surface is approximately 1/6th of that on the Earth’s surface. This means that objects on the Moon weigh approximately 1/6th of their weight on Earth. The ratio of the Moon’s gravity to Earth’s gravity is commonly expressed as 1/6, making option C the most accurate choice among the provided options. This difference in gravitational acceleration is due to the Moon’s smaller mass compared to Earth, resulting in weaker gravitational attraction. Understanding this fraction is crucial for space exploration and celestial mechanics, as it influences the behavior of objects and spacecraft in lunar orbit and during lunar landings. Therefore, option C accurately represents the relationship between the Earth’s gravity and the Moon’s gravity, highlighting the significance of gravitational forces in astronomical phenomena.
See lessTime Period of the pendulum
The time period of a pendulum, defined as the time taken for one complete oscillation, depends on its length, which is option B. This relationship is described by the formula for the period of a simple pendulum: T=2π√(L/g )where T is the period, L is the length of the pendulum, and g is the acceleraRead more
The time period of a pendulum, defined as the time taken for one complete oscillation, depends on its length, which is option B. This relationship is described by the formula for the period of a simple pendulum: T=2π√(L/g )where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. The period of a pendulum is independent of its mass, as demonstrated by Galileo’s experiments. It is also unaffected by temperature variations in the absence of significant changes to the pendulum’s length or environmental conditions. However, changes in length, such as altering the position of the pendulum’s pivot or adding additional mass, can impact its period. Therefore, option [B] accurately identifies the primary factor determining the time period of a pendulum, highlighting the fundamental relationship between length and oscillation period in pendulum motion.
See lessWhy do pendulum clocks become slow in summer?
Pendulum clocks become slow in summer because the length of the pendulum increases due to thermal expansion, which is; option [C]. As the temperature rises, the pendulum rod expands, causing the effective length of the pendulum to increase. This longer length results in a longer period for each osciRead more
Pendulum clocks become slow in summer because the length of the pendulum increases due to thermal expansion, which is; option [C]. As the temperature rises, the pendulum rod expands, causing the effective length of the pendulum to increase. This longer length results in a longer period for each oscillation, leading to slower timekeeping compared to cooler temperatures. The effect of thermal expansion on the pendulum’s length alters the clock’s timing mechanism, causing it to lose time during warmer weather conditions. This phenomenon is a well-known factor affecting the accuracy of mechanical clocks and is accounted for in their design and calibration. Therefore, option C accurately identifies the reason for the slowdown of pendulum clocks during summer, emphasizing the influence of temperature-induced changes in the length of the pendulum on timekeeping precision.
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