To calculate the work done in ploughing the length of the field, we'll use the formula: Work = Force x Distance x cos(θ) Given: Force exerted by the bullocks = 140 N Length of the field = 15 m Here, the force exerted and the direction of movement are assumed to be in the same line, so the angle (θ)Read more
To calculate the work done in ploughing the length of the field, we’ll use the formula:
Work = Force x Distance x cos(θ)
Given:
Force exerted by the bullocks = 140 N
Length of the field = 15 m
Here, the force exerted and the direction of movement are assumed to be in the same line, so the angle (θ) between the force and displacement vectors is (0°). Therefore, (cos(0) = 1).
Plugging the given values into the formula:
Work = Force x Distance x cos(θ)
Work = 140N x 15 m x 1
Work = 2100 J
Therefore, the work done in ploughing the length of the field by the pair of bullocks is 2100 joules (J).
1. Definition: - Kinetic energy is the energy possessed by an object due to its motion. - It's the energy an object has when it's moving. 2. Formula: - The formula to calculate kinetic energy is: - KE = 1/2 x mass x velocity² - KE represents kinetic energy, measured in joules (J). - Mass is the objeRead more
1. Definition:
– Kinetic energy is the energy possessed by an object due to its motion.
– It’s the energy an object has when it’s moving.
2. Formula:
– The formula to calculate kinetic energy is:
– KE = 1/2 x mass x velocity²
– KE represents kinetic energy, measured in joules (J).
– Mass is the object’s mass in kilograms (kg).
– Velocity is the speed of the object in meters per second (m/s).
3. Dependence on Motion:
– Kinetic energy exists only when an object is in motion.
– The faster the object moves (higher velocity), the more kinetic energy it possesses.
4. Relation to Velocity:
– Kinetic energy is directly proportional to the square of the object’s velocity.
– Doubling the velocity results in four times the kinetic energy.
5. Relation to Mass:
– Kinetic energy also depends on the mass of the object.
– Greater mass at the same velocity results in more kinetic energy.
6. Measurement of Energy in Motion:
– Kinetic energy helps measure and understand the energy associated with moving objects.
– It illustrates how an object’s speed and mass influence the energy it possesses due to its motion.
Understanding kinetic energy is crucial in grasping how movement relates to energy and how an object’s speed and mass contribute to the energy it possesses when in motion.
The expression for the kinetic energy (KE) of an object is given by the formula: KE = 1/2 x mass x velocity² Where: - KE is the kinetic energy measured in joules (J). - Mass represents the mass of the object measured in kilograms (kg). - Velocity is the speed of the object measured in meters per secRead more
The expression for the kinetic energy (KE) of an object is given by the formula:
KE = 1/2 x mass x velocity²
Where:
– KE is the kinetic energy measured in joules (J).
– Mass represents the mass of the object measured in kilograms (kg).
– Velocity is the speed of the object measured in meters per second (m/s).
This formula shows that the kinetic energy of an object is directly proportional to both its mass and the square of its velocity. As an object’s mass or velocity increases, its kinetic energy increases accordingly.
Given: - Initial kinetic energy (KE₁) = 25 J - Initial velocity (v₁) = 5 m/s - Initial mass (m) is not specified, but it doesn't affect the changes in kinetic energy due to changes in velocity. Let's solve for the kinetic energy when the velocity is doubled and tripled. 1. When velocity is doubled:Read more
Given:
– Initial kinetic energy (KE₁) = 25 J
– Initial velocity (v₁) = 5 m/s
– Initial mass (m) is not specified, but it doesn’t affect the changes in kinetic energy due to changes in velocity.
Let’s solve for the kinetic energy when the velocity is doubled and tripled.
1. When velocity is doubled:
– Doubling the velocity means (v₂ = 2 x 5 m/s = 10 m/s).
– Using the kinetic energy formula (KE = 1/2 x m x v²), we can find (KE₂) when (v₂ = 10 m/s).
KE₂ = 1/2 x m x 10 m/s²
KE₂ = 1/2 x m x 100 J = 50 J
Therefore, when the velocity is doubled to (10 m/s), the kinetic energy becomes (50 J ).
2. When velocity is increased three times:
– Tripling the velocity means v₃ = 3 x 5 m/s = 15 m/s
– Using the same kinetic energy formula to find KE₃ when v₃ = 15 m/s.
KE₃ = 1/2 x m x 15 m/s²
KE₃ = 1/2 x m x 225 J = 112.5 J
Therefore, when the velocity is increased to 15 m/s, the kinetic energy becomes 112.5 J.
So, summarizing:
– When the velocity is doubled to (10 m/s), the kinetic energy becomes 50 J .
– When the velocity is increased three times to 15 m/s, the kinetic energy becomes 112.5 J.
1. Definition: - Power in physics refers to the rate at which work is done or energy is transferred. - It measures how quickly energy is used or produced. 2. Formula: - The formula for power is: P = Work/Time or P = Energy/Time - P represents power, measured in watts (W). - Work or energy is measureRead more
1. Definition:
– Power in physics refers to the rate at which work is done or energy is transferred.
– It measures how quickly energy is used or produced.
2. Formula:
– The formula for power is:
P = Work/Time
or
P = Energy/Time
– P represents power, measured in watts (W).
– Work or energy is measured in joules (J).
– Time is measured in seconds (s).
3. Units:
– The standard unit of power is the watt (W), where 1 watt is equal to 1 joule of energy transferred per second.
4. Calculation:
– Power can be calculated by dividing the amount of work done or energy transferred by the time taken to perform that work or transfer that energy.
5. Relation to Work and Time:
– Higher power signifies more work done or energy transferred in a given amount of time.
– More power means faster work or greater energy transfer within the same time frame.
6. Practical Applications:
– Understanding power is crucial in various fields, including engineering, technology, and physics, where the rate of work or energy conversion is essential.
– It’s used to evaluate the performance and efficiency of machines, devices, and systems.
Knowing about power helps in assessing how fast energy is used or produced in different processes and technologies, enabling efficient utilization and optimization of energy-related activities.
A pair of bullocks exerts a force of 140 N on a plough. The field being ploughed is 15 m long. How much work is done in ploughing the length of the field?
To calculate the work done in ploughing the length of the field, we'll use the formula: Work = Force x Distance x cos(θ) Given: Force exerted by the bullocks = 140 N Length of the field = 15 m Here, the force exerted and the direction of movement are assumed to be in the same line, so the angle (θ)Read more
To calculate the work done in ploughing the length of the field, we’ll use the formula:
Work = Force x Distance x cos(θ)
Given:
Force exerted by the bullocks = 140 N
Length of the field = 15 m
Here, the force exerted and the direction of movement are assumed to be in the same line, so the angle (θ) between the force and displacement vectors is (0°). Therefore, (cos(0) = 1).
Plugging the given values into the formula:
Work = Force x Distance x cos(θ)
Work = 140N x 15 m x 1
Work = 2100 J
Therefore, the work done in ploughing the length of the field by the pair of bullocks is 2100 joules (J).
See lessWhat is the kinetic energy of an object?
1. Definition: - Kinetic energy is the energy possessed by an object due to its motion. - It's the energy an object has when it's moving. 2. Formula: - The formula to calculate kinetic energy is: - KE = 1/2 x mass x velocity² - KE represents kinetic energy, measured in joules (J). - Mass is the objeRead more
1. Definition:
– Kinetic energy is the energy possessed by an object due to its motion.
– It’s the energy an object has when it’s moving.
2. Formula:
– The formula to calculate kinetic energy is:
– KE = 1/2 x mass x velocity²
– KE represents kinetic energy, measured in joules (J).
– Mass is the object’s mass in kilograms (kg).
– Velocity is the speed of the object in meters per second (m/s).
3. Dependence on Motion:
– Kinetic energy exists only when an object is in motion.
– The faster the object moves (higher velocity), the more kinetic energy it possesses.
4. Relation to Velocity:
– Kinetic energy is directly proportional to the square of the object’s velocity.
– Doubling the velocity results in four times the kinetic energy.
5. Relation to Mass:
– Kinetic energy also depends on the mass of the object.
– Greater mass at the same velocity results in more kinetic energy.
6. Measurement of Energy in Motion:
– Kinetic energy helps measure and understand the energy associated with moving objects.
– It illustrates how an object’s speed and mass influence the energy it possesses due to its motion.
Understanding kinetic energy is crucial in grasping how movement relates to energy and how an object’s speed and mass contribute to the energy it possesses when in motion.
See lessWrite an expression for the kinetic energy of an object.
The expression for the kinetic energy (KE) of an object is given by the formula: KE = 1/2 x mass x velocity² Where: - KE is the kinetic energy measured in joules (J). - Mass represents the mass of the object measured in kilograms (kg). - Velocity is the speed of the object measured in meters per secRead more
The expression for the kinetic energy (KE) of an object is given by the formula:
KE = 1/2 x mass x velocity²
Where:
– KE is the kinetic energy measured in joules (J).
– Mass represents the mass of the object measured in kilograms (kg).
– Velocity is the speed of the object measured in meters per second (m/s).
This formula shows that the kinetic energy of an object is directly proportional to both its mass and the square of its velocity. As an object’s mass or velocity increases, its kinetic energy increases accordingly.
See lessThe kinetic energy of an object of mass, m moving with a velocity of 5 m s^–1 is 25 J. What will be its kinetic energy when its velocity is doubled? What will be its kinetic energy when its velocity is increased three times?
Given: - Initial kinetic energy (KE₁) = 25 J - Initial velocity (v₁) = 5 m/s - Initial mass (m) is not specified, but it doesn't affect the changes in kinetic energy due to changes in velocity. Let's solve for the kinetic energy when the velocity is doubled and tripled. 1. When velocity is doubled:Read more
Given:
– Initial kinetic energy (KE₁) = 25 J
– Initial velocity (v₁) = 5 m/s
– Initial mass (m) is not specified, but it doesn’t affect the changes in kinetic energy due to changes in velocity.
Let’s solve for the kinetic energy when the velocity is doubled and tripled.
1. When velocity is doubled:
– Doubling the velocity means (v₂ = 2 x 5 m/s = 10 m/s).
– Using the kinetic energy formula (KE = 1/2 x m x v²), we can find (KE₂) when (v₂ = 10 m/s).
KE₂ = 1/2 x m x 10 m/s²
KE₂ = 1/2 x m x 100 J = 50 J
Therefore, when the velocity is doubled to (10 m/s), the kinetic energy becomes (50 J ).
2. When velocity is increased three times:
– Tripling the velocity means v₃ = 3 x 5 m/s = 15 m/s
– Using the same kinetic energy formula to find KE₃ when v₃ = 15 m/s.
KE₃ = 1/2 x m x 15 m/s²
KE₃ = 1/2 x m x 225 J = 112.5 J
Therefore, when the velocity is increased to 15 m/s, the kinetic energy becomes 112.5 J.
So, summarizing:
See less– When the velocity is doubled to (10 m/s), the kinetic energy becomes 50 J .
– When the velocity is increased three times to 15 m/s, the kinetic energy becomes 112.5 J.
What is power?
1. Definition: - Power in physics refers to the rate at which work is done or energy is transferred. - It measures how quickly energy is used or produced. 2. Formula: - The formula for power is: P = Work/Time or P = Energy/Time - P represents power, measured in watts (W). - Work or energy is measureRead more
1. Definition:
– Power in physics refers to the rate at which work is done or energy is transferred.
– It measures how quickly energy is used or produced.
2. Formula:
– The formula for power is:
P = Work/Time
or
P = Energy/Time
– P represents power, measured in watts (W).
– Work or energy is measured in joules (J).
– Time is measured in seconds (s).
3. Units:
– The standard unit of power is the watt (W), where 1 watt is equal to 1 joule of energy transferred per second.
4. Calculation:
– Power can be calculated by dividing the amount of work done or energy transferred by the time taken to perform that work or transfer that energy.
5. Relation to Work and Time:
– Higher power signifies more work done or energy transferred in a given amount of time.
– More power means faster work or greater energy transfer within the same time frame.
6. Practical Applications:
– Understanding power is crucial in various fields, including engineering, technology, and physics, where the rate of work or energy conversion is essential.
– It’s used to evaluate the performance and efficiency of machines, devices, and systems.
Knowing about power helps in assessing how fast energy is used or produced in different processes and technologies, enabling efficient utilization and optimization of energy-related activities.
See less