A 3.0 kg bomb explodes in mid-air, breaking into two pieces of mass 2.0 kg and 1.0 kg. The smaller piece, with mass 1.0 kg, is ejected at a speed of 89 m/s. We want to find the total energy transferred to the two pieces. First, we will calculate the kinetic energy of the smaller piece. The kinetic eRead more
A 3.0 kg bomb explodes in mid-air, breaking into two pieces of mass 2.0 kg and 1.0 kg. The smaller piece, with mass 1.0 kg, is ejected at a speed of 89 m/s. We want to find the total energy transferred to the two pieces. First, we will calculate the kinetic energy of the smaller piece. The kinetic energy depends on the mass and the square of the speed of the fragment. We apply the principle of conservation of momentum to find the speed of the larger fragment. Since the total momentum before the explosion is zero, the momentum after the explosion must also equal zero. So, by studying the masses and velocities, we can deduce the speed of the 2.0 kg fragment.
After calculating the kinetic energy of each fragment, these values are combined to find total energy imparted during the explosion. The calculated total energy expresses the amount of energy released from the explosion, which is equally distributed between two fragments. Hence, the answer shows the quantity of energy transmitted to the fragments, which remains a significant requirement in the domain of physics as an understanding related to the mechanics of explosions.
When a particle with mass m₁ is moving at a certain velocity, it collides with another particle that is at rest and has mass m₂. Upon collision, the two masses become embedded in one another to form a single composite object. The collision process is important in understanding the principles of momeRead more
When a particle with mass m₁ is moving at a certain velocity, it collides with another particle that is at rest and has mass m₂. Upon collision, the two masses become embedded in one another to form a single composite object. The collision process is important in understanding the principles of momentum and energy transfer.
Before the collision, the moving mass has kinetic energy because it is moving. The stationary mass does not have any kinetic energy because it is not moving. After collision, the two masses exert forces on each other and thus momentum is transferred from one to another. By the principle of conservation of momentum, the total momentum of the system before the collision must be equal to the total momentum after the collision.
On the other hand, the combined velocity after embedding will be smaller than that before collision due to the embedding of two masses together. Here again, during a collision, kinetic energy changes partly into heat and sound energies and other forms, thereby causing the system velocity to drop at the collision time, reflecting complex dynamics during an inelastic collision.
To determine the potential energy loss of a 20 kg ball dropped from 50 cm height, we shall use the potential energy formula: Potential Energy = mass × gravitational acceleration × height Mass (m) = 20 kg Height (h) = 50 cm = 0.5 m Gravitational acceleration (g) ≈ 9.8 m/s² Putting all these values inRead more
To determine the potential energy loss of a 20 kg ball dropped from 50 cm height, we shall use the potential energy formula:
Potential Energy = mass × gravitational acceleration × height
Mass (m) = 20 kg
Height (h) = 50 cm = 0.5 m
Gravitational acceleration (g) ≈ 9.8 m/s²
Putting all these values into the formula,
Potential Energy = 20 kg × 9.8 m/s² × 0.5 m
Potential Energy = 20 kg × 4.9 m²/s²
Potential Energy = 98 J
This implies that the potential energy of the ball has decreased by 98 J.
To find the change in kinetic energy of a body that has a mass of 5 kg and an initial momentum of 10 kg·m/s, we begin by finding the initial velocity. The definition of momentum as the product of mass and velocity reveals that the initial velocity is 2 m/s when calculated using the given mass and moRead more
To find the change in kinetic energy of a body that has a mass of 5 kg and an initial momentum of 10 kg·m/s, we begin by finding the initial velocity. The definition of momentum as the product of mass and velocity reveals that the initial velocity is 2 m/s when calculated using the given mass and momentum.
Next, we must know what the applied force does. For 10 s, a force of 0.2 N acts on the body. According to Newton’s second law, this will give an acceleration produced. Since we have the mass known, the computed acceleration is found to be 0.04 m/s².
Now, we could calculate the final velocity after a force has been applied. Acceleration increases this initial velocity of 2 m/s to a final velocity of 2.4 m/s.
We calculate the initial and final kinetic energies in order to determine the change in kinetic energy. The initial kinetic energy is 10 J, whereas the final kinetic energy, once the increase in velocity is considered, is 14.4 J. So, the change in kinetic energy is 4.4 J.
Kinetic energy is a concept in physics that describes the energy an object has due to its motion. Kinetic energy must always be a positive quantity or zero. When an object is at rest, its kinetic energy is zero because there is no motion. However, once the object starts to move, its kinetic energy bRead more
Kinetic energy is a concept in physics that describes the energy an object has due to its motion. Kinetic energy must always be a positive quantity or zero. When an object is at rest, its kinetic energy is zero because there is no motion. However, once the object starts to move, its kinetic energy becomes positive. This positive nature of kinetic energy arises from the fact that it is the product of both the mass of the object and the square of its velocity. Thus, given that the velocity increases, so is the kinetic energy, which only represents the increase in capability to do work due to motion. Such a nature in kinetic energy serves well in many applications within mechanics, engineering, and other aspects, even in understanding natural phenomena.
For instance, when vehicles accelerate, they acquire kinetic energy, which is critical in determining their stopping distances and general safety. To put it briefly, kinetic energy is inherently a positive quantity that signifies the energy of motion, reflecting the dynamic behavior of objects in various physical contexts. Understanding kinetic energy is very important for the analysis of motion and the prediction of the behavior of moving bodies in different scenarios.
A bomb of mass 3.0 kg explodes in air into two pieces of masses 2.0 kg and 1.0 kg. The smaller mass goes at a speed of 89 ms⁻¹ . The total energy imparted to the two fragments is
A 3.0 kg bomb explodes in mid-air, breaking into two pieces of mass 2.0 kg and 1.0 kg. The smaller piece, with mass 1.0 kg, is ejected at a speed of 89 m/s. We want to find the total energy transferred to the two pieces. First, we will calculate the kinetic energy of the smaller piece. The kinetic eRead more
A 3.0 kg bomb explodes in mid-air, breaking into two pieces of mass 2.0 kg and 1.0 kg. The smaller piece, with mass 1.0 kg, is ejected at a speed of 89 m/s. We want to find the total energy transferred to the two pieces. First, we will calculate the kinetic energy of the smaller piece. The kinetic energy depends on the mass and the square of the speed of the fragment. We apply the principle of conservation of momentum to find the speed of the larger fragment. Since the total momentum before the explosion is zero, the momentum after the explosion must also equal zero. So, by studying the masses and velocities, we can deduce the speed of the 2.0 kg fragment.
After calculating the kinetic energy of each fragment, these values are combined to find total energy imparted during the explosion. The calculated total energy expresses the amount of energy released from the explosion, which is equally distributed between two fragments. Hence, the answer shows the quantity of energy transmitted to the fragments, which remains a significant requirement in the domain of physics as an understanding related to the mechanics of explosions.
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A particle of mass m₁ moving with velocity v collides with a mass m₂ at rest, then they get embedded. At the instant of collision, velocity of the system
When a particle with mass m₁ is moving at a certain velocity, it collides with another particle that is at rest and has mass m₂. Upon collision, the two masses become embedded in one another to form a single composite object. The collision process is important in understanding the principles of momeRead more
When a particle with mass m₁ is moving at a certain velocity, it collides with another particle that is at rest and has mass m₂. Upon collision, the two masses become embedded in one another to form a single composite object. The collision process is important in understanding the principles of momentum and energy transfer.
Before the collision, the moving mass has kinetic energy because it is moving. The stationary mass does not have any kinetic energy because it is not moving. After collision, the two masses exert forces on each other and thus momentum is transferred from one to another. By the principle of conservation of momentum, the total momentum of the system before the collision must be equal to the total momentum after the collision.
On the other hand, the combined velocity after embedding will be smaller than that before collision due to the embedding of two masses together. Here again, during a collision, kinetic energy changes partly into heat and sound energies and other forms, thereby causing the system velocity to drop at the collision time, reflecting complex dynamics during an inelastic collision.
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See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-5/
The decrease in the potential energy of a ball of mass 20 kg, which falls from a height 50 cm is
To determine the potential energy loss of a 20 kg ball dropped from 50 cm height, we shall use the potential energy formula: Potential Energy = mass × gravitational acceleration × height Mass (m) = 20 kg Height (h) = 50 cm = 0.5 m Gravitational acceleration (g) ≈ 9.8 m/s² Putting all these values inRead more
To determine the potential energy loss of a 20 kg ball dropped from 50 cm height, we shall use the potential energy formula:
Potential Energy = mass × gravitational acceleration × height
Mass (m) = 20 kg
Height (h) = 50 cm = 0.5 m
Gravitational acceleration (g) ≈ 9.8 m/s²
Putting all these values into the formula,
Potential Energy = 20 kg × 9.8 m/s² × 0.5 m
Potential Energy = 20 kg × 4.9 m²/s²
Potential Energy = 98 J
This implies that the potential energy of the ball has decreased by 98 J.
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A body of mass 5 kg has momentum of 10 kg m s⁻¹. When a force of 0.2 N is applied on it for 10 s, what is the change in kinetic energy?
To find the change in kinetic energy of a body that has a mass of 5 kg and an initial momentum of 10 kg·m/s, we begin by finding the initial velocity. The definition of momentum as the product of mass and velocity reveals that the initial velocity is 2 m/s when calculated using the given mass and moRead more
To find the change in kinetic energy of a body that has a mass of 5 kg and an initial momentum of 10 kg·m/s, we begin by finding the initial velocity. The definition of momentum as the product of mass and velocity reveals that the initial velocity is 2 m/s when calculated using the given mass and momentum.
Next, we must know what the applied force does. For 10 s, a force of 0.2 N acts on the body. According to Newton’s second law, this will give an acceleration produced. Since we have the mass known, the computed acceleration is found to be 0.04 m/s².
Now, we could calculate the final velocity after a force has been applied. Acceleration increases this initial velocity of 2 m/s to a final velocity of 2.4 m/s.
We calculate the initial and final kinetic energies in order to determine the change in kinetic energy. The initial kinetic energy is 10 J, whereas the final kinetic energy, once the increase in velocity is considered, is 14.4 J. So, the change in kinetic energy is 4.4 J.
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Kinetic energy, with any refrence, must be
Kinetic energy is a concept in physics that describes the energy an object has due to its motion. Kinetic energy must always be a positive quantity or zero. When an object is at rest, its kinetic energy is zero because there is no motion. However, once the object starts to move, its kinetic energy bRead more
Kinetic energy is a concept in physics that describes the energy an object has due to its motion. Kinetic energy must always be a positive quantity or zero. When an object is at rest, its kinetic energy is zero because there is no motion. However, once the object starts to move, its kinetic energy becomes positive. This positive nature of kinetic energy arises from the fact that it is the product of both the mass of the object and the square of its velocity. Thus, given that the velocity increases, so is the kinetic energy, which only represents the increase in capability to do work due to motion. Such a nature in kinetic energy serves well in many applications within mechanics, engineering, and other aspects, even in understanding natural phenomena.
For instance, when vehicles accelerate, they acquire kinetic energy, which is critical in determining their stopping distances and general safety. To put it briefly, kinetic energy is inherently a positive quantity that signifies the energy of motion, reflecting the dynamic behavior of objects in various physical contexts. Understanding kinetic energy is very important for the analysis of motion and the prediction of the behavior of moving bodies in different scenarios.
Click here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-5/