Vehicles
A car on a straight road starts from rest and accelerates at 1.0 meter per second2 for 10. seconds. Then the car continues to travel at constant speed for an additional 20. seconds.
Calculate the distance the car travels in the first 10. seconds.
d = 50. m
A 70-kilogram hockey player skating east on an ice rink is hit by a 0.1-kilogram hockey puck moving toward the west. The puck exerts a 50-newton force toward the west on the player.
Determine the magnitude of the force that the player exerts on the puck during this collision.
Answer: 50N
A 0.50-kilogram frog is at rest on the bank surrounding a pond of water. As the frog leaps from the bank, the magnitude of the acceleration of the frog is 3.0 meters per second2. Calculate the magnitude of the net force exerted on the frog as it leaps.
Answer: 1.5 N
An 8.00-kilogram ball is fired horizontally from a 1.00 × 103-kilogram cannon initially at rest. After having been fired, the momentum of the ball is 2.40 × 103 kilogram·meters per second east. [Neglect friction.]
Calculate the magnitude of the cannon’s velocity after the ball is fired. Round your answer to the nearest hundredth of a meter per second.
Answer: 2.40 m/s
A student constructed a series circuit consisting of a 12.0-volt battery, a 10.0-ohm lamp, and a resistor. The circuit does not contain a voltmeter or an ammeter. When the circuit is operating, the total current through the circuit is 0.50 ampere.
Determine the equivalent resistance of the circuit.
Answer: 24 Ω
On a snow-covered road, a car with a mass of 1.1 × 103 kilograms collides head-on with a van having a mass of 2.5 × 103 kilograms traveling at 8.0 meters per second. As a result of the collision, the vehicles lock together and immediately come to rest. Calculate the speed of the car immediately before the collision. [Neglect friction.]
Answer: 18 m/s
A person walks 150. meters due east and then walks 30. meters due west. The entire trip takes the person 10. minutes. Determine the magnitude and the direction of the person’s total displacement
Magnitude: 120 m
Direction: East or E
Explain the difference between a scalar and a vector quantity.
A scalar quantity only has magnitude, while a vector quantity also has directio
A projectile has an initial horizontal velocity of 15 meters per second and an initial vertical velocity of 25 meters per second. Determine the projectile’s horizontal displacement if the total time of flight is 5.0 seconds. Round your answer to the nearest meter.
Answer: 75 m
A generator produces a 115-volt potential difference and a maximum of 20.0 amperes of current.
Calculate the total electrical energy the generator produces operating at maximum capacity for 60. seconds.
Answer: W = 1.4 × 105 J
A model airplane heads due east at 1.50 meters per second, while he wind blows due north at 0.70 meter per second.
Determine, to the nearest degree, the angle between north and the resultant velocity.
Answer: 65°
An ice skater applies a horizontal force to a 20.-kilogram block on frictionless, level ice, causing the block to accelerate uniformly at 1.4 meters per second2 to the right. After the skater stops pushing the block, it slides onto a region of ice that is covered with a thin layer of sand. The coefficient of kinetic friction between the block and the sand-covered ice is 0.28.
Calculate the magnitude of the force applied to the block by the skater.
Answer: 28 N
A 10.-newton force compresses a spring 0.25 meter from its equilibrium position. Calculate the spring constant of this spring.
Answer: 40. N/m
A pop-up toy has a mass of 0.020 kilogram and a spring constant of 150 newtons per meter. A force is applied to the toy to compress the spring 0.050 meter.
Calculate the potential energy stored in the compressed spring.
Answer: PEs = 0.19 J
The magnitude of the electric field strength between two oppositely charged parallel metal plates is 2.0 × 103 newtons per coulomb. Point P is located midway between the plates.
An electron is located at point P between the plates. Calculate the magnitude of the force exerted on the electron by the electric field.
Answer: Fe= 3.2 × 10-16 N
A 1000.-kilogram empty cart moving with a speed of 6.0 meters per second is about to collide with a stationary loaded cart having a total mass of 5000. kilograms, as shown. After the collision, the carts lock and move together. [Assume friction is negligible.]
Calculate the speed of the combined carts after the collision.
Answer: 1.0 m/s
In an experiment, a 0.028-kilogram rubber stopper is attached to one end of a string. A student whirls the stopper overhead in a horizontal circle with a radius of 1.0 meter. The stopper completes 10 revolutions in 10 seconds.
Determine the speed of the whirling stopper.
Answer: 6.3 m/s
A roller coaster car has a mass of 290. kilograms. Starting from rest, the car acquires 3.13 × 105 joules of kinetic energy as it descends to the bottom of a hill in 5.3 seconds.
Calculate the height of the hill. [Neglect friction.]
Answer: 110. m
A projectile is fired from the ground with an initial velocity of 250. meters per second at an angle of 60.0° above the horizontal.
Determine the horizontal component of the initial velocity.
Answer: 125 m/s
A length of copper wire and a 1.00-meter-long silver wire have the same cross-sectional area and resistance at 20°C. Calculate the length of the copper wire.
Lcopper = 0.924 m
The combined mass of a race car and its driver is 600. kilograms. Traveling at constant speed, the car completes one lap around a circular track of radius 160. meters in 36.0 seconds.
Calculate the speed of the car, to the nearest tenth of a meter per second.
Answer: 27.9 m/s
A kicked soccer ball has an initial velocity of 25 meters per second at an angle of 40.° above the horizontal, level ground. [Neglect friction.]
Calculate the maximum height the ball reaches above its initial position.
Answer: 13 m
A horizontal 20.-newton force is applied to a 5.0-kilogram box to push it across a rough, horizontal floor at a constant velocity of 3.0 meters per second to the right.
Determine the magnitude of the force of friction acting on the box.
Answer: 20. N
The coefficient of kinetic friction between a 780.-newton crate and a level warehouse floor is 0.200. Calculate the magnitude of the horizontal force required to move the crate across the floor at constant speed.
Answer: 156 N
The heating element in an automobile window has a resistance of 1.2 ohms when operated at 12 volts. Calculate the power dissipated in the heating element.
Answer: 120 W