Force = Mass x Acceleration Given: - Mass of the vehicle (m) = 1500 kg - Negative acceleration (a) = -1.7 m/s² (negative because it's slowing down) Substituting the values into the formula: Force = 1500 kg x -1.7m/s² Force = -2550N The negative sign indicates that the force is acting in the oppositeRead more
Force = Mass x Acceleration
Given:
– Mass of the vehicle (m) = 1500 kg
– Negative acceleration (a) = -1.7 m/s² (negative because it’s slowing down)
Substituting the values into the formula:
Force = 1500 kg x -1.7m/s²
Force = -2550N
The negative sign indicates that the force is acting in the opposite direction to the motion of the vehicle, which is required to cause the negative acceleration (deceleration) and eventually stop the vehicle.
To determine the friction force exerted on the wooden cabinet, when a horizontal force of 200 N is applied to move it at a constant velocity, we'll first consider the concept of static friction. When an object is moving at a constant velocity, the force applied (200 N in this case) is equal to the fRead more
To determine the friction force exerted on the wooden cabinet, when a horizontal force of 200 N is applied to move it at a constant velocity, we’ll first consider the concept of static friction.
When an object is moving at a constant velocity, the force applied (200 N in this case) is equal to the force of friction acting against it.
Therefore, the friction force exerted on the cabinet will be equal to the applied force, which is 200 N. This friction force counteracts the applied force, allowing the cabinet to move at a constant velocity across the floor.
The student correctly mentions Newton's third law, which states that for every action, there is an equal and opposite reaction. However, the conclusion that the forces cancel each other out, resulting in no motion of the truck, needs further explanation. The equal and opposite forces between the perRead more
The student correctly mentions Newton’s third law, which states that for every action, there is an equal and opposite reaction. However, the conclusion that the forces cancel each other out, resulting in no motion of the truck, needs further explanation.
The equal and opposite forces between the person and the truck do not directly determine whether the truck moves. While the person exerts a force on the truck, the truck exerts an equal force back on the person due to Newton’s third law. However, the truck’s lack of movement is primarily due to the force of static friction between the tires and the road.
If the force applied by the person isn’t greater than the maximum static friction holding the truck in place, the truck will not move. The equilibrium of forces doesn’t imply the cancellation of forces, but rather a balance where there’s no net force to cause the truck’s motion. Hence, the truck remains stationary despite the equal and opposite forces between the person and the truck.
Here are the key points regarding the universal law of gravitation: 1. Attraction between Objects: Every object in the universe attracts every other object. 2. Proportional to Mass: The force of attraction is directly proportional to the product of the masses of the objects involved. Larger masses eRead more
Here are the key points regarding the universal law of gravitation:
1. Attraction between Objects: Every object in the universe attracts every other object.
2. Proportional to Mass: The force of attraction is directly proportional to the product of the masses of the objects involved. Larger masses exert a stronger gravitational force.
3. Inverse Square Relationship: The force of gravity decreases as the square of the distance between the centers of the objects increases. This means that as objects move farther apart, the gravitational force between them becomes weaker.
4. Formulated by Newton: Sir Isaac Newton formulated this law, represented mathematically as F = G x ((m₁ x m₂)/r²), where F is the gravitational force, G is the gravitational constant, m₁ and m₂ are the masses of the objects, and r is the distance between their centers.
5. Explains Celestial Motion: This law explains fundamental phenomena like planetary orbits around the Sun, the gravitational pull of celestial bodies, and the attraction between objects on Earth.
These points encapsulate the fundamental aspects of Newton’s universal law of gravitation, which describes the gravitational interactions between all objects in the universe.
Braking Scenario: - Inertia's Role: Imagine you're on a moving bus. You and the bus are moving at the same speed. - Abrupt Braking: When the bus stops suddenly, it slows down, but due to your body's inertia, you want to continue moving forward. - Result: Your body momentarily maintains its forward mRead more
Braking Scenario:
– Inertia’s Role: Imagine you’re on a moving bus. You and the bus are moving at the same speed.
– Abrupt Braking: When the bus stops suddenly, it slows down, but due to your body’s inertia, you want to continue moving forward.
– Result: Your body momentarily maintains its forward motion, causing you to lean or lurch forward relative to the bus.
Acceleration Scenario:
– Inertia’s Influence: At the bus’s initial rest, you are stationary.
– Quick Acceleration: As the bus accelerates forward, your body resists this change in motion.
– Outcome: Your body lags behind the bus’s acceleration, resulting in you leaning or falling backward relative to the bus’s direction.
Conclusion:
This experience is due to inertia, which tends to keep your body in its initial state of motion. When the bus abruptly changes its motion, your body tends to stay in its initial state, causing the sensation of leaning or falling in the opposite direction.
It's possible under certain conditions:** 1. Uniform Motion: The object must be moving at a constant velocity. 2. Balanced Forces: While there might be multiple forces acting, their combined effect results in zero net force. 3. Directional Consistency: These forces shouldn't change the velocity's maRead more
It’s possible under certain conditions:**
1. Uniform Motion: The object must be moving at a constant velocity.
2. Balanced Forces: While there might be multiple forces acting, their combined effect results in zero net force.
3. Directional Consistency: These forces shouldn’t change the velocity’s magnitude or direction.
Explanation:
– If an object is already moving steadily with constant velocity and the forces acting on it counterbalance each other (resulting in a net force of zero), it maintains its velocity due to Newton’s First Law.
– Despite no unbalanced force causing acceleration or deceleration, the object continues with its constant velocity. For instance, this happens in space or when air resistance balances gravity during free fall (reaching terminal velocity).
Conclusion:
An object can uphold a non-zero velocity while experiencing a net zero unbalanced force by sustaining constant motion with balanced forces, allowing it to move steadily without changing its speed or direction.
When a carpet is beaten with a stick, the mechanical action causes the emergence of dust and particles that have accumulated within the carpet over time. Several factors contribute to this phenomenon. Accumulated Debris: Carpets accumulate dust, dirt, and particles within their fibers and beneath thRead more
When a carpet is beaten with a stick, the mechanical action causes the emergence of dust and particles that have accumulated within the carpet over time. Several factors contribute to this phenomenon.
Accumulated Debris:
Carpets accumulate dust, dirt, and particles within their fibers and beneath the surface due to daily use and environmental factors.
Mechanical Disturbance:
The impact of beating the carpet with a stick creates mechanical disturbance and vibration within its structure.
Loosening Particles:
This mechanical force causes the carpet fibers to flex, dislodging and releasing the trapped particles embedded within the carpet’s structure.
Airborne Release:
The sudden impact and vibrations generate a disturbance, ejecting the dislodged particles into the air.
Dislodging from Pile:
Particles trapped within the carpet pile due to gravity or electrostatic forces are forcefully dislodged by the kinetic energy applied during beating.
Conclusion:
Beating a carpet dislodges and releases accumulated dust and debris trapped within its fibers. This mechanical action causes the particles to loosen and become airborne, contributing to a cleaner carpet surface. Regular cleaning methods, including beating or vacuuming, aid in maintaining a cleaner and healthier indoor environment by removing embedded dust and particles from carpets.
- Safety Assurance: Tying luggage with a rope prevents items from falling off the bus roof during travel, reducing the risk of accidents and ensuring passenger and pedestrian safety. - Stability and Security: It maintains stability by securing the luggage in place, minimizing shifting or sliding durRead more
– Safety Assurance: Tying luggage with a rope prevents items from falling off the bus roof during travel, reducing the risk of accidents and ensuring passenger and pedestrian safety.
– Stability and Security: It maintains stability by securing the luggage in place, minimizing shifting or sliding during the bus’s movement and preventing displacement due to sudden maneuvers.
– Regulatory Compliance: Many transport regulations or safety guidelines mandate the secure attachment of rooftop luggage, ensuring compliance and adherence to safety standards.
– Driver Focus: Securely tied luggage reduces distractions for the bus driver, allowing better focus on safe driving without concerns about loose items.
– Protection from Damage: Properly tying down luggage shields it from potential damage caused by external factors such as wind, rain, or unexpected movements, preserving the integrity of the items during travel.
The correct explanation for why the ball slows to a stop after rolling a short distance on a level ground is: (c) There is a force on the ball opposing the motion. Explanation: - The ball experiences a force opposing its motion, known as friction, between the ball and the ground. - Friction acts inRead more
The correct explanation for why the ball slows to a stop after rolling a short distance on a level ground is:
(c) There is a force on the ball opposing the motion.
Explanation:
– The ball experiences a force opposing its motion, known as friction, between the ball and the ground.
– Friction acts in the direction opposite to the ball’s motion, gradually reducing its speed until it comes to a stop.
– As the ball rolls on the ground, friction between the ball and the surface gradually dissipates its kinetic energy, bringing it to rest.
Why Other Options Are Incorrect:
– (a) The batsman did not hit the ball hard enough: This option does not directly relate to the slowing down of the ball due to friction.
– (b) Velocity is proportional to the force exerted on the ball: While this statement has some truth regarding acceleration (not velocity), it doesn’t explain the ball’s slowing down due to opposing forces.
– (d) There is no unbalanced force on the ball, so the ball would want to come to rest: This option is partially correct in stating that the absence of an unbalanced force leads to the ball’s tendency to come to rest, but it doesn’t directly address the opposing force of friction causing the slowdown.
- Distance traveled by the truck (s) = 400 m - Time taken (t) = 20 s - Mass of the truck (m) = 7 metric tonnes = 7,000 kg (as 1 metric tonne = 1000 kg) Calculating Acceleration: We'll use the kinematic equation ( s = ut + 1/2 at²), where (u) is the initial velocity (which is 0 m/s as the truck startRead more
– Distance traveled by the truck (s) = 400 m
– Time taken (t) = 20 s
– Mass of the truck (m) = 7 metric tonnes = 7,000 kg (as 1 metric tonne = 1000 kg)
Calculating Acceleration:
We’ll use the kinematic equation ( s = ut + 1/2 at²), where (u) is the initial velocity (which is 0 m/s as the truck starts from rest).
s = ut + 1/2 at²
400 = 0 x 20 + 1/2 x a x 20²
400 = 200a
a = 400/200
a = 2m/s²
Calculating Force:
Now, using Newton’s second law of motion F = ma :
Given:
– Mass m = 7000 kg
– Acceleration (a) = 2 m/s²
F = ma
F = 7000 x 2
F = 14,000 N
Conclusion:
The acceleration of the truck rolling down the hill is 2 m/s² , and the force acting on it, considering its mass of 7 metric tonnes, is 14,000 Newtons.
An automobile vehicle has a mass of 1500 kg. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of 1.7 m s–2?
Force = Mass x Acceleration Given: - Mass of the vehicle (m) = 1500 kg - Negative acceleration (a) = -1.7 m/s² (negative because it's slowing down) Substituting the values into the formula: Force = 1500 kg x -1.7m/s² Force = -2550N The negative sign indicates that the force is acting in the oppositeRead more
Force = Mass x Acceleration
Given:
– Mass of the vehicle (m) = 1500 kg
– Negative acceleration (a) = -1.7 m/s² (negative because it’s slowing down)
Substituting the values into the formula:
Force = 1500 kg x -1.7m/s²
Force = -2550N
The negative sign indicates that the force is acting in the opposite direction to the motion of the vehicle, which is required to cause the negative acceleration (deceleration) and eventually stop the vehicle.
See lessUsing a horizontal force of 200 N, we intend to move a wooden cabinet across a floor at a constant velocity. What is the friction force that will be exerted on the cabinet?
To determine the friction force exerted on the wooden cabinet, when a horizontal force of 200 N is applied to move it at a constant velocity, we'll first consider the concept of static friction. When an object is moving at a constant velocity, the force applied (200 N in this case) is equal to the fRead more
To determine the friction force exerted on the wooden cabinet, when a horizontal force of 200 N is applied to move it at a constant velocity, we’ll first consider the concept of static friction.
When an object is moving at a constant velocity, the force applied (200 N in this case) is equal to the force of friction acting against it.
Therefore, the friction force exerted on the cabinet will be equal to the applied force, which is 200 N. This friction force counteracts the applied force, allowing the cabinet to move at a constant velocity across the floor.
See lessAccording to the third law of motion when we push on an object, the object pushes back on us with an equal and opposite force. If the object is a massive truck parked along the roadside, it will probably not move. A student justifies this by answering that the two opposite and equal forces cancel each other. Comment on this logic and explain why the truck does not move.
The student correctly mentions Newton's third law, which states that for every action, there is an equal and opposite reaction. However, the conclusion that the forces cancel each other out, resulting in no motion of the truck, needs further explanation. The equal and opposite forces between the perRead more
The student correctly mentions Newton’s third law, which states that for every action, there is an equal and opposite reaction. However, the conclusion that the forces cancel each other out, resulting in no motion of the truck, needs further explanation.
The equal and opposite forces between the person and the truck do not directly determine whether the truck moves. While the person exerts a force on the truck, the truck exerts an equal force back on the person due to Newton’s third law. However, the truck’s lack of movement is primarily due to the force of static friction between the tires and the road.
If the force applied by the person isn’t greater than the maximum static friction holding the truck in place, the truck will not move. The equilibrium of forces doesn’t imply the cancellation of forces, but rather a balance where there’s no net force to cause the truck’s motion. Hence, the truck remains stationary despite the equal and opposite forces between the person and the truck.
See lessState the universal law of gravitation.
Here are the key points regarding the universal law of gravitation: 1. Attraction between Objects: Every object in the universe attracts every other object. 2. Proportional to Mass: The force of attraction is directly proportional to the product of the masses of the objects involved. Larger masses eRead more
Here are the key points regarding the universal law of gravitation:
1. Attraction between Objects: Every object in the universe attracts every other object.
2. Proportional to Mass: The force of attraction is directly proportional to the product of the masses of the objects involved. Larger masses exert a stronger gravitational force.
3. Inverse Square Relationship: The force of gravity decreases as the square of the distance between the centers of the objects increases. This means that as objects move farther apart, the gravitational force between them becomes weaker.
4. Formulated by Newton: Sir Isaac Newton formulated this law, represented mathematically as F = G x ((m₁ x m₂)/r²), where F is the gravitational force, G is the gravitational constant, m₁ and m₂ are the masses of the objects, and r is the distance between their centers.
5. Explains Celestial Motion: This law explains fundamental phenomena like planetary orbits around the Sun, the gravitational pull of celestial bodies, and the attraction between objects on Earth.
These points encapsulate the fundamental aspects of Newton’s universal law of gravitation, which describes the gravitational interactions between all objects in the universe.
See lessWhy do you fall in the forward direction when a moving bus brakes to a stop and fall backwards when it accelerates from rest?
Braking Scenario: - Inertia's Role: Imagine you're on a moving bus. You and the bus are moving at the same speed. - Abrupt Braking: When the bus stops suddenly, it slows down, but due to your body's inertia, you want to continue moving forward. - Result: Your body momentarily maintains its forward mRead more
Braking Scenario:
– Inertia’s Role: Imagine you’re on a moving bus. You and the bus are moving at the same speed.
– Abrupt Braking: When the bus stops suddenly, it slows down, but due to your body’s inertia, you want to continue moving forward.
– Result: Your body momentarily maintains its forward motion, causing you to lean or lurch forward relative to the bus.
Acceleration Scenario:
– Inertia’s Influence: At the bus’s initial rest, you are stationary.
– Quick Acceleration: As the bus accelerates forward, your body resists this change in motion.
– Outcome: Your body lags behind the bus’s acceleration, resulting in you leaning or falling backward relative to the bus’s direction.
Conclusion:
See lessThis experience is due to inertia, which tends to keep your body in its initial state of motion. When the bus abruptly changes its motion, your body tends to stay in its initial state, causing the sensation of leaning or falling in the opposite direction.
An object experiences a net zero external unbalanced force. Is it possible for the object to be travelling with a non-zero velocity? If yes, state the conditions that must be placed on the magnitude and direction of the velocity. If no, provide a reason.
It's possible under certain conditions:** 1. Uniform Motion: The object must be moving at a constant velocity. 2. Balanced Forces: While there might be multiple forces acting, their combined effect results in zero net force. 3. Directional Consistency: These forces shouldn't change the velocity's maRead more
It’s possible under certain conditions:**
1. Uniform Motion: The object must be moving at a constant velocity.
2. Balanced Forces: While there might be multiple forces acting, their combined effect results in zero net force.
3. Directional Consistency: These forces shouldn’t change the velocity’s magnitude or direction.
Explanation:
– If an object is already moving steadily with constant velocity and the forces acting on it counterbalance each other (resulting in a net force of zero), it maintains its velocity due to Newton’s First Law.
– Despite no unbalanced force causing acceleration or deceleration, the object continues with its constant velocity. For instance, this happens in space or when air resistance balances gravity during free fall (reaching terminal velocity).
Conclusion:
See lessAn object can uphold a non-zero velocity while experiencing a net zero unbalanced force by sustaining constant motion with balanced forces, allowing it to move steadily without changing its speed or direction.
When a carpet is beaten with a stick, dust comes out of it. Explain.
When a carpet is beaten with a stick, the mechanical action causes the emergence of dust and particles that have accumulated within the carpet over time. Several factors contribute to this phenomenon. Accumulated Debris: Carpets accumulate dust, dirt, and particles within their fibers and beneath thRead more
When a carpet is beaten with a stick, the mechanical action causes the emergence of dust and particles that have accumulated within the carpet over time. Several factors contribute to this phenomenon.
Accumulated Debris:
Carpets accumulate dust, dirt, and particles within their fibers and beneath the surface due to daily use and environmental factors.
Mechanical Disturbance:
The impact of beating the carpet with a stick creates mechanical disturbance and vibration within its structure.
Loosening Particles:
This mechanical force causes the carpet fibers to flex, dislodging and releasing the trapped particles embedded within the carpet’s structure.
Airborne Release:
The sudden impact and vibrations generate a disturbance, ejecting the dislodged particles into the air.
Dislodging from Pile:
Particles trapped within the carpet pile due to gravity or electrostatic forces are forcefully dislodged by the kinetic energy applied during beating.
Conclusion:
See lessBeating a carpet dislodges and releases accumulated dust and debris trapped within its fibers. This mechanical action causes the particles to loosen and become airborne, contributing to a cleaner carpet surface. Regular cleaning methods, including beating or vacuuming, aid in maintaining a cleaner and healthier indoor environment by removing embedded dust and particles from carpets.
Why is it advised to tie any luggage kept on the roof of a bus with a rope?
- Safety Assurance: Tying luggage with a rope prevents items from falling off the bus roof during travel, reducing the risk of accidents and ensuring passenger and pedestrian safety. - Stability and Security: It maintains stability by securing the luggage in place, minimizing shifting or sliding durRead more
– Safety Assurance: Tying luggage with a rope prevents items from falling off the bus roof during travel, reducing the risk of accidents and ensuring passenger and pedestrian safety.
– Stability and Security: It maintains stability by securing the luggage in place, minimizing shifting or sliding during the bus’s movement and preventing displacement due to sudden maneuvers.
– Regulatory Compliance: Many transport regulations or safety guidelines mandate the secure attachment of rooftop luggage, ensuring compliance and adherence to safety standards.
– Driver Focus: Securely tied luggage reduces distractions for the bus driver, allowing better focus on safe driving without concerns about loose items.
– Protection from Damage: Properly tying down luggage shields it from potential damage caused by external factors such as wind, rain, or unexpected movements, preserving the integrity of the items during travel.
See lessA batsman hits a cricket ball which then rolls on a level ground. After covering a short distance, the ball comes to rest. The ball slows to a stop because
The correct explanation for why the ball slows to a stop after rolling a short distance on a level ground is: (c) There is a force on the ball opposing the motion. Explanation: - The ball experiences a force opposing its motion, known as friction, between the ball and the ground. - Friction acts inRead more
The correct explanation for why the ball slows to a stop after rolling a short distance on a level ground is:
(c) There is a force on the ball opposing the motion.
Explanation:
– The ball experiences a force opposing its motion, known as friction, between the ball and the ground.
– Friction acts in the direction opposite to the ball’s motion, gradually reducing its speed until it comes to a stop.
– As the ball rolls on the ground, friction between the ball and the surface gradually dissipates its kinetic energy, bringing it to rest.
Why Other Options Are Incorrect:
See less– (a) The batsman did not hit the ball hard enough: This option does not directly relate to the slowing down of the ball due to friction.
– (b) Velocity is proportional to the force exerted on the ball: While this statement has some truth regarding acceleration (not velocity), it doesn’t explain the ball’s slowing down due to opposing forces.
– (d) There is no unbalanced force on the ball, so the ball would want to come to rest: This option is partially correct in stating that the absence of an unbalanced force leads to the ball’s tendency to come to rest, but it doesn’t directly address the opposing force of friction causing the slowdown.
A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of 400 m in 20 s. Find its acceleration. Find the force acting on it if its mass is 7 metric tonnes (Hint: 1 metric tonne = 1000 kg.)
- Distance traveled by the truck (s) = 400 m - Time taken (t) = 20 s - Mass of the truck (m) = 7 metric tonnes = 7,000 kg (as 1 metric tonne = 1000 kg) Calculating Acceleration: We'll use the kinematic equation ( s = ut + 1/2 at²), where (u) is the initial velocity (which is 0 m/s as the truck startRead more
– Distance traveled by the truck (s) = 400 m
– Time taken (t) = 20 s
– Mass of the truck (m) = 7 metric tonnes = 7,000 kg (as 1 metric tonne = 1000 kg)
Calculating Acceleration:
We’ll use the kinematic equation ( s = ut + 1/2 at²), where (u) is the initial velocity (which is 0 m/s as the truck starts from rest).
s = ut + 1/2 at²
400 = 0 x 20 + 1/2 x a x 20²
400 = 200a
a = 400/200
a = 2m/s²
Calculating Force:
Now, using Newton’s second law of motion F = ma :
Given:
– Mass m = 7000 kg
– Acceleration (a) = 2 m/s²
F = ma
F = 7000 x 2
F = 14,000 N
Conclusion:
See lessThe acceleration of the truck rolling down the hill is 2 m/s² , and the force acting on it, considering its mass of 7 metric tonnes, is 14,000 Newtons.