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Physics Problems |
The force of friction on an airplane in level flight is given by F = kv², where k is some constant, and v is the speed of the airplane. When the power output from the engines is P0, the plane is able to fly at a speed v0. Find the new power output from the engines if velocity is increased twice.
A 500-gram ball is launched at some angle above the horizontal with some initial speed directly toward a target located on the height h on a vertical wall. If the wall is on the distance d from the ball's start point, when the ball hits the wall, the miss distance is Δy. Find the miss distance if the wall is located on the distance d2 from the ball's start point. Initial velocity doesn't change. The new angle again directs the ball directly toward the target. The position of the target on the wall h is the same.
A sphere floats in water with p1% of the volume of the sphere submerged. The sphere is removed and placed in oil that has p2% the density of water. If it floats in the oil, what percent of the volume of the sphere would be submerged in the oil?
A U-tube manometer consists of a uniform diameter cylindrical tube that is bent into a U-shape. It is originally filled with some liquid. The total length of the column of liquid is L. The liquid is displaced slightly so that one side moves up a distance x and the other side lowers a distance x. After this, the levels of liquid in the tubes start to oscillate with the frequency f. Find the density of this liquid, ignoring surface tension and viscosity.
A large, flat lake has a uniform depth of water dw that is covered by a uniform layer of ice. Cold air has moved into the region so that the upper surface of the ice is maintained at a constant temperature T1 by the cold air. The bottom of the lake remains at a fixed temperature T2 because of contact with the earth. It is reasonable to assume that heat flow is only in the vertical direction and that there is no convective motion in the water. Assuming the air stays at the same temperature for a long time, find the equilibrium thickness of the ice.
dw =10m; T1= -10 °C; T2 = 4 °C; cwater =4000 J/(kg · °C ); cice =2000 J/(kg · °C ); Thermal conductivity of water κwater =0.5 W/(m · °C ); Thermal conductivity of ice κice =2 W/(m · °C ); Latent heat of fusion for water Lf =330000 J/kg; Density of water ρwater =999 kg/m3; Density of ice ρice =920 kg/m.
Two cars, starting a ride simultaneously from different ends of the same road with the same constant speed, reach each other after the time t. If, in the new ride, the first car increases the speed three times and the second car decreases the speed three times, for what time the cars will reach each other starting the new ride again simultaneously?
At the first step, the pressure of a fixed amount of a monatomic gas is increased at the constant volume from the initial pressure P to the pressure aP, where a is an arbitrary coefficient. At the second step, the gas is isothermally expanded, and at the third step the gas is compressed at a constant pressure and returns back to the initial condition. What is the efficiency of this heat engine cycle?
One end of a metal rod is in contact with a big high-temperature reservoir and the other end in contact with a big reservoir of low temperature. The rod and reservoirs make up a closed system. The heat of 800 J was conducted from one end to the other uniformly (no change in temperature along the rod). If the change in entropy of the system is 6 J/K and low temperature is 100 K, what is the temperature of the high-temperature reservoir?
Two objects, being originally in the linear motion across the same axes, make finally a head-on totally inelastic collision with each other. If you know masses, specific heat capacities and initial speeds and temperatures of these objects, find final equilibrium temperature after the collision. Ignore heat leaks by radiation and by conduction into the surrounding medium. There are no phase transitions too.
A mass that can oscillate without friction on a horizontal surface is attached to a horizontal spring and is pulled to the right and is released from rest at the zero time. The period of the oscillation is T. The speed of the mass is V at the time t. What is the amplitude of the oscillation?
A force of 3.14 N is exerted on the small piston of radius 1.00 cm to support a 6280-kg car on a hydraulic lift. What gauge pressure produces this force?
You are standing on the surface of a small spherical planet whose radius is half of Earth's radius. The average density of this planet equals to the average density of the Earth. Find the gravitational acceleration on the surface of this planet.
A uniform ladder with the mass m and the length l is leaning against a frictionless wall at an angle θ above the horizontal direction. A boy climbs the distance d up the ladder. The magnitude of the frictional force exerted on the ladder by the floor is F. What is the mass of the boy?
A uniform solid cylindrical disk of mass M and radius R is rolling without slipping along a level plane when it encounters a ramp that is at an angle θ above horizontal. The maximum distance that the disk rolls without slipping up the ramp is d. What is the initial speed of the disk?
A pendulum is composed of a mass suspended from the ceiling by a massless string of length L. The mass is pulled back, raised above the bottom of the swing on height h and released. The tension in the string at the bottom of the swing is T. Find the mass.
A rod has a linear density λ = k/x, where x is the position along the rod, k is constant. The position of the rod spans a < x < b. What is the coordinate of the center of mass of the rod? k=0.368 kg; a=1m; b= 2.72m.
Particle "one" of mass m initially moves to the right at v0. Particle "two" is initially at rest. After they undergo an elastic collision, particle "one" moves directly down at the speed v1. Find the mass of particle "two". There is no gravity.
An 1-kg object oscillates in the potential U = b + cx2. The turning points of this motion are ±A. What is the maximum kinetic energy of this object? b=2J; c=1J/m2; A=4 m.
A horizontal spring having constant k is attached to a block having mass m. The mass is oscillating freely on a frictionless table with amplitude A. As the mass travels from the position of the maximum stretch to two/third the position of maximum stretch, how much work is done by the spring on the mass? k=100N/m; m=1kg; A=30cm;
A sled of mass m starts out at an initial speed v on a horizontal surface. The coefficient of kinetic friction with the snow is 0.05. How far does it go before it comes to a stop? m = 2kg; v=10m/s.
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Метки: physics problems problems physics |
Physics Problems |
The force of friction on an airplane in level flight is given by F = kv², where k is some constant, and v is the speed of the airplane. When the power output from the engines is P0, the plane is able to fly at a speed v0. Find the new power output from the engines if velocity is increased twice.
A 500-gram ball is launched at some angle above the horizontal with some initial speed directly toward a target located on the height h on a vertical wall. If the wall is on the distance d from the ball's start point, when the ball hits the wall, the miss distance is Δy. Find the miss distance if the wall is located on the distance d2 from the ball's start point. Initial velocity doesn't change. The new angle again directs the ball directly toward the target. The position of the target on the wall h is the same.
A sphere floats in water with p1% of the volume of the sphere submerged. The sphere is removed and placed in oil that has p2% the density of water. If it floats in the oil, what percent of the volume of the sphere would be submerged in the oil?
A U-tube manometer consists of a uniform diameter cylindrical tube that is bent into a U-shape. It is originally filled with some liquid. The total length of the column of liquid is L. The liquid is displaced slightly so that one side moves up a distance x and the other side lowers a distance x. After this, the levels of liquid in the tubes start to oscillate with the frequency f. Find the density of this liquid, ignoring surface tension and viscosity.
A large, flat lake has a uniform depth of water dw that is covered by a uniform layer of ice. Cold air has moved into the region so that the upper surface of the ice is maintained at a constant temperature T1 by the cold air. The bottom of the lake remains at a fixed temperature T2 because of contact with the earth. It is reasonable to assume that heat flow is only in the vertical direction and that there is no convective motion in the water. Assuming the air stays at the same temperature for a long time, find the equilibrium thickness of the ice.
dw =10m; T1= -10 °C; T2 = 4 °C; cwater =4000 J/(kg · °C ); cice =2000 J/(kg · °C ); Thermal conductivity of water κwater =0.5 W/(m · °C ); Thermal conductivity of ice κice =2 W/(m · °C ); Latent heat of fusion for water Lf =330000 J/kg; Density of water ρwater =999 kg/m3; Density of ice ρice =920 kg/m.
Two cars, starting a ride simultaneously from different ends of the same road with the same constant speed, reach each other after the time t. If, in the new ride, the first car increases the speed three times and the second car decreases the speed three times, for what time the cars will reach each other starting the new ride again simultaneously?
At the first step, the pressure of a fixed amount of a monatomic gas is increased at the constant volume from the initial pressure P to the pressure aP, where a is an arbitrary coefficient. At the second step, the gas is isothermally expanded, and at the third step the gas is compressed at a constant pressure and returns back to the initial condition. What is the efficiency of this heat engine cycle?
One end of a metal rod is in contact with a big high-temperature reservoir and the other end in contact with a big reservoir of low temperature. The rod and reservoirs make up a closed system. The heat of 800 J was conducted from one end to the other uniformly (no change in temperature along the rod). If the change in entropy of the system is 6 J/K and low temperature is 100 K, what is the temperature of the high-temperature reservoir?
Two objects, being originally in the linear motion across the same axes, make finally a head-on totally inelastic collision with each other. If you know masses, specific heat capacities and initial speeds and temperatures of these objects, find final equilibrium temperature after the collision. Ignore heat leaks by radiation and by conduction into the surrounding medium. There are no phase transitions too.
A mass that can oscillate without friction on a horizontal surface is attached to a horizontal spring and is pulled to the right and is released from rest at the zero time. The period of the oscillation is T. The speed of the mass is V at the time t. What is the amplitude of the oscillation?
A force of 3.14 N is exerted on the small piston of radius 1.00 cm to support a 6280-kg car on a hydraulic lift. What gauge pressure produces this force?
You are standing on the surface of a small spherical planet whose radius is half of Earth's radius. The average density of this planet equals to the average density of the Earth. Find the gravitational acceleration on the surface of this planet.
A uniform ladder with the mass m and the length l is leaning against a frictionless wall at an angle θ above the horizontal direction. A boy climbs the distance d up the ladder. The magnitude of the frictional force exerted on the ladder by the floor is F. What is the mass of the boy?
A uniform solid cylindrical disk of mass M and radius R is rolling without slipping along a level plane when it encounters a ramp that is at an angle θ above horizontal. The maximum distance that the disk rolls without slipping up the ramp is d. What is the initial speed of the disk?
A pendulum is composed of a mass suspended from the ceiling by a massless string of length L. The mass is pulled back, raised above the bottom of the swing on height h and released. The tension in the string at the bottom of the swing is T. Find the mass.
A rod has a linear density λ = k/x, where x is the position along the rod, k is constant. The position of the rod spans a < x < b. What is the coordinate of the center of mass of the rod? k=0.368 kg; a=1m; b= 2.72m.
Particle "one" of mass m initially moves to the right at v0. Particle "two" is initially at rest. After they undergo an elastic collision, particle "one" moves directly down at the speed v1. Find the mass of particle "two". There is no gravity.
An 1-kg object oscillates in the potential U = b + cx2. The turning points of this motion are ±A. What is the maximum kinetic energy of this object? b=2J; c=1J/m2; A=4 m.
A horizontal spring having constant k is attached to a block having mass m. The mass is oscillating freely on a frictionless table with amplitude A. As the mass travels from the position of the maximum stretch to two/third the position of maximum stretch, how much work is done by the spring on the mass? k=100N/m; m=1kg; A=30cm;
A sled of mass m starts out at an initial speed v on a horizontal surface. The coefficient of kinetic friction with the snow is 0.05. How far does it go before it comes to a stop? m = 2kg; v=10m/s.
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