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Questions and Answers
What is the direction of the lift force exerted by the air on the propellers of a 4500 kg helicopter accelerating upward?
What is the frictional force acting on a 5.0 kg block accelerating at 6.0 m/s2 along a horizontal surface?
How much has a spring been stretched by a 200 g mass, given a spring constant of 7.5 N/m?
What is the acceleration of a baseball as it is caught, given an initial speed of 30.0 m/s and a time of 0.0050 s?
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What is the value of the gravitational field at a location where a 1.25 kg book has a weight of 8.35 N?
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What is the total distance traveled by the bike?
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How far does the car go before it stops?
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What is the car's average acceleration?
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How many seconds are required before the car is traveling 3.0 m/s?
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How far did the airplane move?
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What is the velocity of the brick after 4.0 s?
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What is the coefficient of friction between the sidewalk and the metal sled runners?
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What forces act on the car as it brakes to a halt?
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Study Notes
Motion and Acceleration
- A bike accelerates from 0.0 m/s to 5.0 m/s in 4.5 s, then travels at a constant speed for another 4.5 s.
- The total distance traveled by the bike can be calculated using the given acceleration and time.
Reaction and Stopping
- A car traveling at 20 m/s takes 0.80 s to react, then slows at 7.0 m/s2 before stopping.
- The distance traveled by the car before it stops can be calculated using the given reaction time and deceleration.
Acceleration and Direction
- A car coasts backwards downhill at 3.0 m/s, then starts moving uphill at 4.5 m/s after 2.5 s.
- The car's average acceleration can be calculated assuming uphill is the positive direction.
Deceleration and Time
- A car slows from 22 m/s to 3.0 m/s at a constant rate of 2.1 m/s2.
- The time required for the car to reach 3.0 m/s can be calculated using the given deceleration.
Acceleration from Rest
- An airplane starts from rest and accelerates at a constant rate of 3.00 m/s2 for 30.0 s.
- The distance traveled and final speed of the airplane can be calculated using the given acceleration and time.
Free Fall
- A brick is dropped from a high scaffold and accelerates at 9.8 m/s2.
- The velocity and distance fallen by the brick can be calculated using the given time.
Projectile Motion
- A tennis ball is thrown straight up with an initial speed of 22.5 m/s.
- The maximum height reached and time in the air can be calculated using the given initial speed.
Falling Objects
- A bag is dropped from a hovering helicopter and accelerates at 9.8 m/s2.
- The velocity and distance fallen by the bag can be calculated using the given time.
Force and Friction
- A boy exerts a 36 N horizontal force as he pulls a 52 N sled across a cement sidewalk at a constant speed.
- The coefficient of friction between the sidewalk and the metal sled runners can be calculated using the given forces.
Lifting and Tension
- A 50 kg bucket is lifted by a rope with a maximum tension of 500 N.
- The rope's tension and the bucket's acceleration can be calculated using the given mass and lift distance.
Forces and Action-Reaction Pairs
- A car brakes to a halt, and the forces acting on it are the frictional force and the normal force.
- The reaction forces to these forces are exerted on the road and the braking system.
Lift and Propellers
- A 4500 kg helicopter accelerates upward at 2.0 m/s2.
- The lift force exerted by the air on the propellers can be calculated using the given mass and acceleration.
Friction and Coefficient
- A force of 40.0 N accelerates a 5.0 kg block at 6.0 m/s2 along a horizontal surface.
- The frictional force and coefficient of friction can be calculated using the given force and acceleration.
Springs and Stretching
- A spring is stretched by a mass hooked to the end, with a spring constant of 7.5 N/m.
- The amount of stretching can be calculated using the given mass and spring constant.
Catching and Force
- A baseball is caught, and its speed goes from 30.0 m/s to 0.0 m/s in about 0.0050 s.
- The baseball's acceleration, force, and direction of force can be calculated using the given speed and time.
Weight and Gravitational Field
- A 1.25 kg book in space has a weight of 8.35 N.
- The value of the gravitational field at that location can be calculated using the given weight and mass.
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Description
Solve three problems related to motion and acceleration, including calculating distance traveled and stopping distance. Test your understanding of physics concepts.
