Newton's First Law
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AP Physics 1 › Newton's First Law
A 0.20 kg ball falls straight downward at constant velocity through air. Earth exerts gravity downward; air exerts a resistive force upward. Which statement about the forces is correct?
Gravity is greater than air resistance because the ball is moving downward.
Air resistance is greater than gravity because the ball has inertia.
Gravity equals air resistance because the net force is zero.
Air resistance is zero because the ball is not accelerating.
Explanation
This question assesses understanding of Newton's First Law of Motion, explaining terminal velocity as constant velocity with zero net force. The ball falls downward at constant velocity, meaning its acceleration is zero. According to Newton's First Law, zero acceleration implies the net force is zero. The downward gravitational force equals the upward air resistance force. Choice A is incorrect because it embodies the misconception that motion requires the driving force (gravity) to be greater, but at constant velocity, forces balance. A transferable strategy is to recognize terminal velocity as a balance point and compare magnitudes of opposing forces like drag and weight.
A 1.2 kg object hangs motionless from a vertical spring. The object interacts with Earth (gravity) and the spring (tension-like spring force). It remains at rest for several seconds. What can be concluded about the forces on the object?
The net force is downward because gravity is always unbalanced.
Only gravity acts because the object is not moving.
The spring force upward must be greater than the weight to prevent motion.
The spring force upward equals the weight downward.
Explanation
This question assesses understanding of Newton's First Law of Motion, which states that an object at rest stays at rest with zero net force. The object hangs motionless, so the net vertical force is zero. The downward weight is balanced by the upward spring force, keeping it in equilibrium. This balance prevents any acceleration or movement. Choice D is incorrect because it suggests the spring force must exceed the weight to prevent motion, misunderstanding that equal forces suffice for rest under Newton's First Law. A transferable approach is to identify equilibrium conditions and set opposing forces equal when there's no change in velocity.
A hockey puck slides on nearly frictionless ice at constant velocity $5.0\ \text{m/s}$ north. After it leaves the player’s stick, it continues without changing speed or direction; air resistance is negligible. Which statement about the net force on the puck is correct while it slides freely?
The net force is zero because the puck’s velocity is constant.
The puck has a net force north equal to its momentum divided by time.
A net force acts north to maintain the puck’s northward motion.
A net force acts south to oppose the puck’s motion.
Explanation
This question assesses understanding of Newton's First Law of Motion, which states that an object in uniform motion remains in that state without a net external force. The puck is sliding at a constant velocity of 5.0 m/s north, indicating zero net force acting on it. With negligible friction and air resistance, no unbalanced forces alter its motion, so it continues straight at constant speed. This demonstrates inertia, where the puck resists changes to its velocity. Choice A is wrong as it suggests a net force is needed to maintain motion, a common misconception that force is required for constant velocity rather than for acceleration. For similar scenarios, remember to equate constant velocity with zero net force and draw free-body diagrams to confirm balanced forces.
A crate is pushed across a horizontal floor at constant speed. The applied push is horizontal, kinetic friction acts opposite the motion, and the crate does not accelerate. Which statement about the net force on the crate is correct?
The net force equals the weight because gravity is the strongest force.
The net force equals the friction force because friction sets the motion.
The net force is zero because the acceleration is zero.
The net force points in the direction of motion because it is moving.
Explanation
This question assesses understanding of Newton's First Law of Motion, which links constant velocity to zero net force. The crate moves at constant speed, indicating no net force acts on it. The horizontal push balances the kinetic friction force, resulting in zero acceleration. All forces sum to zero, allowing steady motion. Choice A is incorrect as it claims net force aligns with motion direction, a misconception that force is required to maintain velocity instead of to change it. For these questions, use the strategy of confirming zero acceleration from constant speed and ensuring net force calculations reflect that balance.
A car travels straight north at 20 m/s on a level road with constant speed. Air resistance and rolling friction act south; the engine provides a forward driving force north. What must be true about the horizontal net force?
It is north because the car is moving north.
It is south because resistive forces oppose motion.
It is zero because the driving force equals the total resistive force.
It is zero only if the engine is off.
Explanation
This question assesses understanding of Newton's First Law of Motion, which explains that constant velocity occurs when no net force acts. The car travels north at constant speed, so its horizontal velocity is unchanging, indicating zero horizontal acceleration. Newton's First Law requires that the net horizontal force be zero for this to happen. The northward driving force from the engine balances the southward resistive forces like air resistance and friction. Choice A is mistaken because it reflects the misconception that motion requires a net force in the direction of motion, but inertia allows constant velocity without any net force. A transferable strategy is to separate force analysis into horizontal and vertical components and confirm balance when velocity is constant in a given direction.
A hockey puck slides east at constant velocity on nearly frictionless ice. Earth exerts gravity and the ice exerts a normal force. What is the net force on the puck?
Eastward, because motion requires a force in the direction of motion.
Zero, because constant velocity implies zero acceleration.
Westward, because friction must oppose the motion even if small.
Downward, because gravity is unbalanced while the puck is moving.
Explanation
This question assesses understanding of Newton's First Law of Motion, which states that an object in motion continues with constant velocity unless acted upon by a net force. The puck is sliding east at constant velocity, meaning its speed and direction are unchanging, so its acceleration is zero. Newton's First Law indicates that zero acceleration requires the net force to be zero. All forces on the puck—gravity downward and normal force upward—balance vertically, and there are no unbalanced horizontal forces since friction is negligible. Choice B is wrong because it embodies the misconception that motion requires a force in the direction of motion, whereas constant velocity persists without any net force due to inertia. A transferable strategy is to check for constant velocity; if present, ensure the vector sum of forces is zero by considering all directions separately.
A hockey puck slides on nearly frictionless ice at a constant velocity of $5.0\ \text{m/s}$ north. During this motion, the puck interacts with Earth (gravity) and the ice (normal force) only; air resistance is negligible. The puck’s speed and direction remain constant. What is the net force on the puck?
A constant force northward to maintain the motion.
Approximately $0\ \text{N}$.
A constant force upward equal to $mg$.
A constant force downward equal to $mg$.
Explanation
This question tests Newton's First Law applied to horizontal motion with constant velocity. The puck slides north at a constant 5.0 m/s on nearly frictionless ice, meaning its velocity is unchanging. Newton's First Law states that constant velocity requires zero net force—the puck needs no force to maintain its motion. The puck experiences downward gravity and upward normal force, which balance each other vertically, and negligible horizontal forces due to the frictionless surface. The common misconception is that motion in a direction requires force in that direction, but this violates Newton's First Law. Remember that objects in motion stay in motion at constant velocity when net force equals zero—approximately 0 N in this case.
A sign of mass 10 kg hangs motionless from a ceiling by a single vertical rope. The sign interacts with Earth (gravity) and the rope (tension). No other supports touch the sign, and it remains at rest. What is the magnitude of the tension in the rope?
$98\ \text{N}$.
$196\ \text{N}$.
$0\ \text{N}$ because the sign is not moving.
$10\ \text{N}$.
Explanation
This question tests Newton's First Law for a hanging object in equilibrium. The sign hangs motionless, meaning its velocity is zero and remains zero—a state of equilibrium. Newton's First Law requires that zero velocity (rest) means zero net force, so the vertical forces must balance. The sign experiences downward weight of mg = 10 kg × 9.8 m/s² = 98 N, and the upward tension must equal this for zero net force. The misconception that stationary objects experience zero force confuses zero net force with zero individual forces. To solve hanging object problems, recognize that equilibrium requires the tension to exactly balance the weight, making tension equal to mg.
An elevator travels upward at a constant speed of $2.0\ \text{m/s}$. A 70 kg rider stands on a scale on the elevator floor. The rider interacts with Earth (gravity) and the scale (normal force). The speed does not change. Which statement must be true?
The net force on the rider is upward because the rider is moving upward.
The normal force equals the rider’s weight.
The normal force is less than the rider’s weight.
The normal force is greater than the rider’s weight.
Explanation
This question tests Newton's First Law for vertical motion at constant velocity. The elevator and rider move upward at a constant 2.0 m/s, meaning the rider's velocity is unchanging. According to Newton's First Law, constant velocity (even upward) requires zero net force, so all forces on the rider must balance. The rider experiences downward weight (mg) and upward normal force from the scale, and these must be equal for zero net force. The misconception that upward motion requires greater normal force than weight ignores that constant velocity means zero acceleration and thus zero net force. When analyzing elevator problems, focus on whether the velocity is changing—constant velocity always means the normal force equals the weight.
A crate is pulled across a rough horizontal floor by a rope. After a brief start-up, it moves to the right at constant speed. During this constant-speed interval, the crate interacts with Earth (gravity), the floor (normal and kinetic friction), and the rope (tension). Which statement about horizontal forces is correct?
Tension equals kinetic friction in magnitude.
Kinetic friction is greater than tension because friction opposes motion.
Tension is greater than kinetic friction because the crate is moving right.
There is no friction because the crate’s speed is constant.
Explanation
This question tests Newton's First Law applied to horizontal forces during constant-speed motion. The crate moves right at constant speed, meaning its horizontal velocity is unchanging. Newton's First Law requires that constant velocity means zero net force, so the horizontal forces must balance. The rope provides rightward tension while kinetic friction acts leftward to oppose the motion, and these two horizontal forces must be equal in magnitude for the net horizontal force to be zero. The misconception that motion requires greater force in the direction of motion ignores that constant speed means balanced forces. To analyze constant-speed problems, identify all forces in the direction of motion and perpendicular to it, then apply the condition that forces must balance in each direction.