In the scenario where a bullet is fired and gets embedded in a block on a frictionless table, we assess the conservation laws that apply to the situation. 1. Momentum Conservation: - During the collision, the system or the bullet along with the block is isolated; no external force acts on the systemRead more
In the scenario where a bullet is fired and gets embedded in a block on a frictionless table, we assess the conservation laws that apply to the situation.
1. Momentum Conservation:
– During the collision, the system or the bullet along with the block is isolated; no external force acts on the system in the horizontal direction (since the table is frictionless). Hence, momentum is conserved.
– Before the collision, the block is at rest, and the bullet is moving with its momentum. After the bullet gets embedded in the block, the total momentum is conserved before the collision to be equal to the total momentum after the collision.
2. Kinetic Energy Conservation:
– In this inelastic collision, kinetic energy is not conserved. Some of the kinetic energy from the bullet goes into internal energy during the collision (such as heat, sound, and deformation of the bullet and block).
3. Potential Energy Conservation:
– Potential energy is not involved in this problem since it does not change due to the fact that the bullet is embedded into the block horizontally on a frictionless table.
Final Answer:
In this case, momentum is conserved.
Use the formula for power to calculate how much power the motor supplies. Power (P) = Work done (W) / Time (t) Step 1: Calculate work done Work done (W) is given by the formula W = Force × Distance Given: Force (F) = 40 N Distance (d) = 30 m Now, calculate the work done: W = 40 N × 30 m W = 1200 J (Read more
Use the formula for power to calculate how much power the motor supplies.
Power (P) = Work done (W) / Time (t)
Step 1: Calculate work done
Work done (W) is given by the formula
W = Force × Distance
Given:
Force (F) = 40 N
Distance (d) = 30 m
Now, calculate the work done:
W = 40 N × 30 m
W = 1200 J (joules)
Step 2: Convert time from minutes to seconds
Since the motor pulls the cable in one minute,
Time (t) = 1 minute = 60 seconds
Step 3: Calculate the power
Now, substitute the values into the power formula:
P = W / t
P = 1200 J / 60 s
P = 20 W
Final Answer:
The power supplied by the motor is 20 watts.
To determine the final velocity of the combined mass after the collision, we can use the principle of conservation of momentum. Given: - Mass of ball 1 (m₁) = 10 kg - Velocity of ball 1 (u₁) = 2 m/s - Mass of ball 2 (m₂) = 20 kg - Velocity of ball 2 (u₂) = 0 m/s (initially at rest) Step 1: CalculateRead more
To determine the final velocity of the combined mass after the collision, we can use the principle of conservation of momentum.
Given:
– Mass of ball 1 (m₁) = 10 kg
– Velocity of ball 1 (u₁) = 2 m/s
– Mass of ball 2 (m₂) = 20 kg
– Velocity of ball 2 (u₂) = 0 m/s (initially at rest)
We can apply the principle of conservation of momentum to calculate the velocity of the second body after the collision. Step 1: Write the momentum before and after collision Let, m₁ = Mass of the first body = 5 kg u₁ = Initial velocity of the first body = 10 m/s m₂ = Mass of the second body = 20 kgRead more
We can apply the principle of conservation of momentum to calculate the velocity of the second body after the collision.
Step 1: Write the momentum before and after collision
Let,
m₁ = Mass of the first body = 5 kg
u₁ = Initial velocity of the first body = 10 m/s
m₂ = Mass of the second body = 20 kg
– Starting velocity of the second body (u₂) = 0 m/s (at rest)
– Final velocity of both bodies after collision (v₁) = 0 m/s (first body comes to rest)
– Final velocity of the second body (v₂) = ?
Applying the principle of conservation of momentum:
Initial momentum = Final momentum
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
(5 kg × 10 m/s) + (20 kg × 0 m/s) = (5 kg × 0 m/s) + (20 kg × v₂)
Step 2: Find v₂
50 kg·m/s = 0 + 20 kg × v₂
50 kg·m/s = 20 kg × v₂
Divide both sides by 20 kg
v₂ = 50 kg·m/s / 20 kg
v₂ = 2.5 m/s
Final Answer:
The velocity of the second body due to the collision is 2.5 m/sec.
Angular momentum is a fundamental concept in physics. It quantifies the rotational motion of an object about a particular axis. In short, it represents how much an object possesses in terms of its rotational motion and how hard it is to change that motion. Angular momentum is derived from two key faRead more
Angular momentum is a fundamental concept in physics. It quantifies the rotational motion of an object about a particular axis. In short, it represents how much an object possesses in terms of its rotational motion and how hard it is to change that motion. Angular momentum is derived from two key factors: the moment of inertia, which represents the mass distribution relative to the axis of rotation, and angular velocity, which indicates how fast it is rotating.
The significance of angular momentum extends beyond its definition; it is governed by the principle of conservation. In a closed system with no external torques acting on it, the total angular momentum remains constant. This principle is vital in analyzing the behavior of rotating systems, such as planets in orbit, spinning tops, and particles in quantum mechanics.
The unit for angular momentum in the International System of Units is kilogram meter squared per second. This is an effective representation of the mass of the rotating object, the distance from the axis of rotation, and the time involved in the motion. The dimensions of angular momentum can be expressed in terms of mass, length, and time, reflecting its dependence on these fundamental physical quantities. Understanding angular momentum is essential for studying and predicting rotational dynamics in various physical systems.
The values expressed in the quoted text from a 1912 conduct book for married women contradict the principles upheld by the Indian Constitution. While the book propagates the idea of female dependence and servitude to men, the Constitution of India, formulated in 1950, stands for equality, dignity, aRead more
The values expressed in the quoted text from a 1912 conduct book for married women contradict the principles upheld by the Indian Constitution. While the book propagates the idea of female dependence and servitude to men, the Constitution of India, formulated in 1950, stands for equality, dignity, and fundamental rights for all, regardless of gender.
The Constitution guarantees equality (Article 14), prohibits gender-based discrimination (Article 15), and upholds the right to life and personal liberty (Article 21) for everyone. It strives to empower women by ensuring equal opportunities and safeguarding their rights through various laws.
The text from 1912 reflects outdated and unjust notions about women, opposing the constitutional values of gender equality, freedom, and dignity. The Constitution’s vision is to establish a society where women have equal rights, opportunities, and autonomy, completely contrasting the subservient portrayal of women in the quoted text.
A democracy should respect linguistic diversity and provide inclusive education. Limiting education to the language spoken by the majority, neglecting minority languages, raises concerns about equal access to education and undermines the principles of inclusivity and representation of diverse linguiRead more
A democracy should respect linguistic diversity and provide inclusive education. Limiting education to the language spoken by the majority, neglecting minority languages, raises concerns about equal access to education and undermines the principles of inclusivity and representation of diverse linguistic communities in a democratic society.
In a democracy, the freedom to peacefully protest and express dissent is fundamental. The arrest of leaders advocating peaceful demonstrations opposes democratic values, suppressing freedom of expression and assembly. A democracy thrives on accommodating diverse opinions and fostering dialogue, whicRead more
In a democracy, the freedom to peacefully protest and express dissent is fundamental. The arrest of leaders advocating peaceful demonstrations opposes democratic values, suppressing freedom of expression and assembly. A democracy thrives on accommodating diverse opinions and fostering dialogue, which arresting protesters contradicts, raising concerns about democratic principles.
In a democracy, media independence and freedom are crucial. Government ownership of radio, television, and control over news publications restricts press freedom. Requiring government permission for news publication on policies or protests curtails citizens' right to unbiased information, raising coRead more
In a democracy, media independence and freedom are crucial. Government ownership of radio, television, and control over news publications restricts press freedom. Requiring government permission for news publication on policies or protests curtails citizens’ right to unbiased information, raising concerns about democratic principles like transparency and free expression.
The British rule introduced certain democratic institutions in India, but attributing India's democracy solely to colonial influence oversimplifies its complex origins. Factors like the freedom struggle, constitutional framework, diverse societal participation, and sustained democratic practices plaRead more
The British rule introduced certain democratic institutions in India, but attributing India’s democracy solely to colonial influence oversimplifies its complex origins. Factors like the freedom struggle, constitutional framework, diverse societal participation, and sustained democratic practices played equally pivotal roles in shaping India’s democratic identity.
A bullet is fired and gets embedded in a block kept on table. If table is frictionless, then
In the scenario where a bullet is fired and gets embedded in a block on a frictionless table, we assess the conservation laws that apply to the situation. 1. Momentum Conservation: - During the collision, the system or the bullet along with the block is isolated; no external force acts on the systemRead more
In the scenario where a bullet is fired and gets embedded in a block on a frictionless table, we assess the conservation laws that apply to the situation.
1. Momentum Conservation:
– During the collision, the system or the bullet along with the block is isolated; no external force acts on the system in the horizontal direction (since the table is frictionless). Hence, momentum is conserved.
– Before the collision, the block is at rest, and the bullet is moving with its momentum. After the bullet gets embedded in the block, the total momentum is conserved before the collision to be equal to the total momentum after the collision.
2. Kinetic Energy Conservation:
– In this inelastic collision, kinetic energy is not conserved. Some of the kinetic energy from the bullet goes into internal energy during the collision (such as heat, sound, and deformation of the bullet and block).
3. Potential Energy Conservation:
– Potential energy is not involved in this problem since it does not change due to the fact that the bullet is embedded into the block horizontally on a frictionless table.
Final Answer:
In this case, momentum is conserved.
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An electric motor exerts a force of 40 N on a cable and pulls it by distance of 30 m in one minute. The power supplied by the motor (in watt) is
Use the formula for power to calculate how much power the motor supplies. Power (P) = Work done (W) / Time (t) Step 1: Calculate work done Work done (W) is given by the formula W = Force × Distance Given: Force (F) = 40 N Distance (d) = 30 m Now, calculate the work done: W = 40 N × 30 m W = 1200 J (Read more
Use the formula for power to calculate how much power the motor supplies.
Power (P) = Work done (W) / Time (t)
Step 1: Calculate work done
Work done (W) is given by the formula
W = Force × Distance
Given:
Force (F) = 40 N
Distance (d) = 30 m
Now, calculate the work done:
W = 40 N × 30 m
W = 1200 J (joules)
Step 2: Convert time from minutes to seconds
Since the motor pulls the cable in one minute,
Time (t) = 1 minute = 60 seconds
Step 3: Calculate the power
Now, substitute the values into the power formula:
P = W / t
P = 1200 J / 60 s
P = 20 W
Final Answer:
The power supplied by the motor is 20 watts.
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A 10 kg ball moving with velocity 2 m/s collides with a 20 kg mass initially at rest. If both of them coalesce, the final velocity of combined mass is
To determine the final velocity of the combined mass after the collision, we can use the principle of conservation of momentum. Given: - Mass of ball 1 (m₁) = 10 kg - Velocity of ball 1 (u₁) = 2 m/s - Mass of ball 2 (m₂) = 20 kg - Velocity of ball 2 (u₂) = 0 m/s (initially at rest) Step 1: CalculateRead more
To determine the final velocity of the combined mass after the collision, we can use the principle of conservation of momentum.
Given:
– Mass of ball 1 (m₁) = 10 kg
– Velocity of ball 1 (u₁) = 2 m/s
– Mass of ball 2 (m₂) = 20 kg
– Velocity of ball 2 (u₂) = 0 m/s (initially at rest)
Step 1: Calculate initial momentum
Initial momentum (p_initial) = m₁ * u₁ + m₂ * u₂
p_initial = (10 kg * 2 m/s) + (20 kg * 0 m/s)
p_initial = 20 kg·m/s
Step 2: Compute the final velocity after collision
Let v be the final velocity of the combined mass (m₁ + m₂).
After the collision, the total mass is:
m_total = m₁ + m₂ = 10 kg + 20 kg = 30 kg
According to the conservation of momentum:
p_initial = p_final
20 kg·m/s = (m₁ + m₂) * v
20 kg·m/s = 30 kg * v
Step 3: Solve for v
v = 20 kg·m/s / 30 kg
v = 2/3 m/s
Final Answer:
The final velocity of the combined mass is 2/3 m/s.
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A body of mass 5 kg, moving with velocity 10 m/sec collides with another body of the mass 20 kg at rest and comes to rest. The velocity of the second body due to collision is
We can apply the principle of conservation of momentum to calculate the velocity of the second body after the collision. Step 1: Write the momentum before and after collision Let, m₁ = Mass of the first body = 5 kg u₁ = Initial velocity of the first body = 10 m/s m₂ = Mass of the second body = 20 kgRead more
We can apply the principle of conservation of momentum to calculate the velocity of the second body after the collision.
Step 1: Write the momentum before and after collision
Let,
m₁ = Mass of the first body = 5 kg
u₁ = Initial velocity of the first body = 10 m/s
m₂ = Mass of the second body = 20 kg
– Starting velocity of the second body (u₂) = 0 m/s (at rest)
– Final velocity of both bodies after collision (v₁) = 0 m/s (first body comes to rest)
– Final velocity of the second body (v₂) = ?
Applying the principle of conservation of momentum:
Initial momentum = Final momentum
m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂
(5 kg × 10 m/s) + (20 kg × 0 m/s) = (5 kg × 0 m/s) + (20 kg × v₂)
Step 2: Find v₂
50 kg·m/s = 0 + 20 kg × v₂
50 kg·m/s = 20 kg × v₂
Divide both sides by 20 kg
v₂ = 50 kg·m/s / 20 kg
v₂ = 2.5 m/s
Final Answer:
The velocity of the second body due to the collision is 2.5 m/sec.
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Define the term angular momentum. Give its units and dimensions.
Angular momentum is a fundamental concept in physics. It quantifies the rotational motion of an object about a particular axis. In short, it represents how much an object possesses in terms of its rotational motion and how hard it is to change that motion. Angular momentum is derived from two key faRead more
Angular momentum is a fundamental concept in physics. It quantifies the rotational motion of an object about a particular axis. In short, it represents how much an object possesses in terms of its rotational motion and how hard it is to change that motion. Angular momentum is derived from two key factors: the moment of inertia, which represents the mass distribution relative to the axis of rotation, and angular velocity, which indicates how fast it is rotating.
The significance of angular momentum extends beyond its definition; it is governed by the principle of conservation. In a closed system with no external torques acting on it, the total angular momentum remains constant. This principle is vital in analyzing the behavior of rotating systems, such as planets in orbit, spinning tops, and particles in quantum mechanics.
The unit for angular momentum in the International System of Units is kilogram meter squared per second. This is an effective representation of the mass of the rotating object, the distance from the axis of rotation, and the time involved in the motion. The dimensions of angular momentum can be expressed in terms of mass, length, and time, reflecting its dependence on these fundamental physical quantities. Understanding angular momentum is essential for studying and predicting rotational dynamics in various physical systems.
Click here for more info:- https://www.tiwariacademy.com/ncert-solutions/class-11/physics/chapter-6/
See lessRead the following extract from a conduct book for “married women”, published in 1912. ‘God has made the female species delicate and fragile both physically and emotionally, pitiably incapable of self-defence. They are destined thus by God to remain in male protection – of father, husband and son – all their lives. Women should, therefore, not despair, but feel obliged that they can dedicate themselves to the service of men’. Do you think the values expressed in this para reflected the values underlying our constitution? Or does this go against the constitutional values?
The values expressed in the quoted text from a 1912 conduct book for married women contradict the principles upheld by the Indian Constitution. While the book propagates the idea of female dependence and servitude to men, the Constitution of India, formulated in 1950, stands for equality, dignity, aRead more
The values expressed in the quoted text from a 1912 conduct book for married women contradict the principles upheld by the Indian Constitution. While the book propagates the idea of female dependence and servitude to men, the Constitution of India, formulated in 1950, stands for equality, dignity, and fundamental rights for all, regardless of gender.
The Constitution guarantees equality (Article 14), prohibits gender-based discrimination (Article 15), and upholds the right to life and personal liberty (Article 21) for everyone. It strives to empower women by ensuring equal opportunities and safeguarding their rights through various laws.
The text from 1912 reflects outdated and unjust notions about women, opposing the constitutional values of gender equality, freedom, and dignity. The Constitution’s vision is to establish a society where women have equal rights, opportunities, and autonomy, completely contrasting the subservient portrayal of women in the quoted text.
See lessConsider the following facts about a country and decide if you would call it a democracy. Give reasons to support your decision People speak more than seven languages but education is available only in one language, the language spoken by 52 percent people of that country.
A democracy should respect linguistic diversity and provide inclusive education. Limiting education to the language spoken by the majority, neglecting minority languages, raises concerns about equal access to education and undermines the principles of inclusivity and representation of diverse linguiRead more
A democracy should respect linguistic diversity and provide inclusive education. Limiting education to the language spoken by the majority, neglecting minority languages, raises concerns about equal access to education and undermines the principles of inclusivity and representation of diverse linguistic communities in a democratic society.
See lessConsider the following facts about a country and decide if you would call it a democracy. Give reasons to support your decision Several organisations have given a call for peaceful demonstrations and nationwide strikes in the country to oppose these policies. Government has arrested these leaders.
In a democracy, the freedom to peacefully protest and express dissent is fundamental. The arrest of leaders advocating peaceful demonstrations opposes democratic values, suppressing freedom of expression and assembly. A democracy thrives on accommodating diverse opinions and fostering dialogue, whicRead more
In a democracy, the freedom to peacefully protest and express dissent is fundamental. The arrest of leaders advocating peaceful demonstrations opposes democratic values, suppressing freedom of expression and assembly. A democracy thrives on accommodating diverse opinions and fostering dialogue, which arresting protesters contradicts, raising concerns about democratic principles.
See lessConsider the following facts about a country and decide if you would call it a democracy. Give reasons to support your decision The government owns the radio and television in the country. All the newspapers have to get permission from the government to publish any news about government’s policies and protests.
In a democracy, media independence and freedom are crucial. Government ownership of radio, television, and control over news publications restricts press freedom. Requiring government permission for news publication on policies or protests curtails citizens' right to unbiased information, raising coRead more
In a democracy, media independence and freedom are crucial. Government ownership of radio, television, and control over news publications restricts press freedom. Requiring government permission for news publication on policies or protests curtails citizens’ right to unbiased information, raising concerns about democratic principles like transparency and free expression.
See lessHere are different opinions about what made India a democracy. How much importance would you give to each of these factors? Democracy in India is a gift of the British rulers. We received training to work with representative legislative institutions under the British rule.
The British rule introduced certain democratic institutions in India, but attributing India's democracy solely to colonial influence oversimplifies its complex origins. Factors like the freedom struggle, constitutional framework, diverse societal participation, and sustained democratic practices plaRead more
The British rule introduced certain democratic institutions in India, but attributing India’s democracy solely to colonial influence oversimplifies its complex origins. Factors like the freedom struggle, constitutional framework, diverse societal participation, and sustained democratic practices played equally pivotal roles in shaping India’s democratic identity.
See less