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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

Imagine that a 1.20-kg hard-rubber ball traveling at 10.0 m/s bounces off a brick wall in an essentially elastic collision. Determine the change in the momentum of the ball.
A stunt flier is moving at 15 m/s parallel to the flat ground 100 m below, as illustrated in Fig. 2-5. How large must the distance x from plane to target be if a sack of flour released from the plane
A baseball is thrown with an initial velocity of 100 m/s at an angle of 30.0° above the horizontal, as seen in Fig. 2-6. How far from the throwing point will the baseball attain its original level?
As drawn in Fig. 2-7, a ball is thrown from the top of one building toward a tall building 50 m away. The initial velocity of the ball is 20 m/s—40° above horizontal. How far above or below its
Repeat Problem 6.20 but this time the data apply to a car going up a 20° incline.Problem 6.20An advertisement claims that a certain 1200-kg car can accelerate from rest to a speed of 25 m/s in a
In unloading grain from the hold of a ship, an elevator lifts the grain through a distance of 12 m. Grain is discharged at the top of the elevator at a rate of 2.0 kg each second, and the discharge
A force of 3.0 N acts through a distance of 12 m in the direction of the force. Find the work done.
A box is pulled across a level floor a distance of 100 m. Given that 2000 J of work was done in overcoming friction, what was the average friction force?
An automobile is pushed 10.0 ft by a woman exerting 80.0 lb of force horizontally on the vehicle. How much work does she do (a) In ft ⋅ lb and (b) In joules?
A steady force of 500 N is applied horizontally to push a loaded cart at a constant speed. How far would the cart move when 3500 J of work is done on it by that applied force?
Suppose that a 100-kg crate is to be raised 20.0 m into the air by a crane. How much work will be done on the crate?
A 10.0-kg flowerpot falls off a windowsill 30.0 m above the street. In falling to the ground, how much work is done on the pot by the gravitational interaction?
A uniform rectangular marble slab is 3.4 m long and 2.0 m wide. It has a mass of 180 kg. It is originally lying on the flat ground with its 3.4-m × 2.0-m surface facing up. How much work is needed
How large a force is required to accelerate a 1300-kg car from rest to a speed of 20 m/s in a horizontal distance of 80 m?
A 1200-kg car going 30 m/s applies its brakes and skids to rest. If the friction force between the sliding tires and the pavement is 6000 N, how far does the car skid before coming to rest?
A proton (m = 1.67 × 10−27 kg) that has a speed of 5.0 × 106 m/s passes through a metal film of thickness 0.010 mm and emerges with a speed of 2.0 × 106 m/s. How large an average force opposed
A 200-kg cart is pushed slowly at a constant speed up an incline. How much work does the pushing force, which is parallel to the incline, do in moving the cart up to a platform 1.5 m above the
Repeat Problem 6.36 if the distance along the incline to the platform is 7.0 m and a friction force of 150 N opposes the motion.Problem 6.36A 200-kg cart is pushed slowly at a constant speed up an
A 50 000-kg freight car is pulled 800 m up along a 1.20 percent grade at constant speed. (a) Find the work done against gravity by the drawbar pull. (b) If the friction force retarding the motion
A 60-kg woman walks up a flight of stairs that connects two floors 3.0 m apart. (a) How much lifting work is done by the woman? (b) By how much does the woman’s PEG change?
A pump lifts water from a lake to a large tank 20 m above the lake. How much work against gravity does the pump do as it transfers 5.0 m3 of water to the tank? One cubic meter of water has a mass of
Just before striking the ground, a 2.00-kg mass has 400 J of KE. If friction can be ignored, from what height was it dropped?
A 0.50-kg ball falls past a window that is 1.50 m in vertical length. (a) How much did the KE of the ball increase as it fell past the window? (b) If its speed was 3.0 m/s at the top of the window,
At sea level a nitrogen molecule in the air has an average translational KE of 6.2 × 10−21 J. Its mass is 4.7 × 10−26 kg. (a) If such a molecule could shoot straight up without striking other
Consider the simple pendulum shown in Fig. 6-7. (a) If it is released from point-A, what will be the speed of the ball as it passes through point-C? (b) What is the ball’s speed at point-B?
The coefficient of sliding friction between a 900-kg car and the pavement is 0.80. If the car is moving at 25 m/s along level pavement when it begins to skid to a stop, how far will it go before
A 1200-kg car coasts from rest down a driveway that is inclined 20° to the horizontal and is 15 m long. How fast is the car going at the end of the driveway if (a) Friction is negligible and (b) A
The driver of a 1200-kg car notices that the car slows from 20 m/s to 15 m/s as it coasts a distance of 130 m along level ground. How large a force opposes the motion?
In Fig. 6-8, h1 = 200 cm, h2 = 150 cm, and at A the 3.00-g bead has a downward speed along the wire of 800 cm/s. (a) How fast is the bead moving as it passes point-B if friction is negligible? (b)
A 2000-kg elevator rises from rest in the basement to the fourth floor, a distance of 25 m. As it passes the fourth floor, its speed is 3.0 m/s. There is a constant frictional force of 500 N.
Imagine a 60.0-kg skier standing still on the top of a snow-covered hill 150 m high. Neglecting any friction losses, how fast will she be moving at the bottom of the hill? Does her mass matter?
Considering the skier in the previous problem, suppose she starts down the slope moving at 10.0 m/s. Neglecting any friction losses, how fast will she be moving at the bottom of the hill?Previous
Considering the skier in the previous problem, suppose she starts down the slope moving at 10.0 m/s. If she loses 1200 J to friction, how fast will she be moving at the bottom of the hill? Should
A 10.0-kg block is launched up a 30.0° inclined plane at a speed of 20.0 m/s. As it slides it loses 200 J to friction. How far along the incline will it travel before coming to rest?
Calculate the average power required to raise a 150-kg drum to a height of 20 m in a time of 1.0 minute. Give your answer in both kilowatts and horsepower.
Compute the power output of a machine that lifts a 500-kg crate through a height of 20.0 m in a time of 60.0 s.
An engine expends 40.0 hp in propelling a car along a level track at a constant speed of 15.0 m/s. How large is the total retarding force acting on the car? Remember that 1 hp = 745.7 W.
A 1000-kg auto travels up a 3.0 percent grade at 20 m/s. Find the cruising power required, neglecting friction.
A 900-kg car whose motor delivers a maximum power of 40.0 hp to its wheels can maintain a steady speed of 130 km/h on a horizontal roadway. How large is the friction force that impedes its motion at
Water flows from a reservoir at the rate of 3000 kg/min, to a turbine 120 m below. If the efficiency of the turbine is 80 percent, compute the power output of the turbine. Neglect friction in the
A 1300-kg car is to accelerate from rest to a speed of 30.0 m/s in a time of 12.0 s as it climbs a 15.0° hill. Assuming uniform acceleration, what minimum power is needed to accelerate the car in
Find the mass of the largest box that a 40-hp engine can pull along a level road at 15 m/s if the friction coefficient between road and box is 0.15.
A kid stands 6.00 m from the base of a flagpole which is 8.00 m tall. Determine the magnitude of the displacement of the brass eagle on top of the pole with respect to the youngster’s feet.
A runner makes one complete lap around a 200-m track in a time of 25 s. What were the runner’s (a) Average speed and (b) Average velocity?
Using the graphical method, find the resultant of the following two displacements: 2.0 m at 40° and 4.0 m at 127°, the angles being taken relative to the +x-axis, as is customary. Give your answer
Find the x- and y-components of a 25.0-m displacement at an angle of 210.0°.
Perform graphically the following vector additions and subtractions, where and are the vectors drawn in Fig. 1- 17: A, B,
Express the vectors illustrated in Figs. 1-12(c), 1-14, 1-15, and 1-16 in the form(leave out the units). If you are not using basis vectors skip this problem. R=R₁+R₂Ĵ+ R₂k
Solve Problem 1.8 by use of rectangular components.Problem 1.8 Using the graphical method, find the resultant of the following two displacements: 2.0 m at 40° and 4.0 m at 127°, the angles being
Ifandfind the resultant whenis subtracted fromIf you have not learned to use basis vectors, skip this problem. A-121 + 25 + 13k
Add the following two displacement vectors using the parallelogram method: 30 m at 30° and 20 m at 140°. Remember that numbers like 30 m and 20 m have two significant figures.
A boat can travel at a speed of 8 km/h in still water on a lake. In the flowing water of a stream, it can move at 8 km/h relative to the water in the stream. If the stream speed is 3 km/h, how fast
A plane is traveling eastward at an airspeed of 500 km/h. But a 90- km/h wind is blowing southward. What are the direction and speed of the plane relative to the ground? If you have not learned how
With the same airspeed as in Problem 1.16, in what direction must the plane head in order to move due east relative to the Earth?Problem 1.16A plane is traveling eastward at an airspeed of 500 km/h.
A robot named Fred is initially moving at 2.20 m/s along a hallway in a space terminal. It subsequently speeds up to 4.80 m/s in a time of 0.20 s. Determine the size or magnitude of its average
A car is traveling at 20.0 m/s when the driver slams on the brakes and brings it to a straight-line stop in 4.2 s. What is the magnitude of its average acceleration?
An object starts from rest with a constant acceleration of 8.00 m/s2 along a straight line. Find (a) The speed at the end of 5.00 s, (b) The average speed for the 5-s interval, and (c) The
The vertical motion of an object is graphed in Fig. 2-2. Describe its motion qualitatively, and find, as best you can, its instantaneous velocity at points A, B, and C. Displacement along the y-axis
An object’s one-dimensional motion along the x-axis is graphed in Fig. 2-1. Describe its motion. Displacement along the x-axis (m) 4 Time (s) Fig. 2-1 8 12
A truck’s speed increases uniformly from 15 km/h to 60 km/h in 20s. Determine (a) The average speed, (b) The acceleration, and (c) The distance traveled, all in units of meters and seconds.
A ball is dropped from rest at a height of 50 m above the ground. (a) What is its speed just before it hits the ground? (b) How long does it take to reach the ground?
A skier starts from rest and slides down a mountainside along a straight descending path 9.0 m long in 3.0 s. In what time after starting will the skier acquire a speed of 24 m/s? Assume that the
A bus moving in a straight line at a speed of 20 m/s begins to slow at a constant rate of 3.0 m/s each second. Find how far it goes before stopping.
A car moving along a straight road at 30 m/s slows uniformly to a speed of 10 m/s in a time of 5.0 s. Determine (a) The acceleration of the car and (b) The distance it moves during the third second.
The speed of a train is reduced uniformly from 15 m/s to 7.0 m/s while traveling a distance of 90 m. (a) Compute the acceleration.(b) How much farther will the train travel before coming to rest,
A stone is thrown straight upward and it rises to a maximum height of 20 m. With what speed was it thrown?
A stone is thrown straight upward with a speed of 20 m/s. It is caught on its way down at a point 5.0 m above where it was thrown. (a) How fast was it going when it was caught? (b) How long did the
A ball that is thrown vertically upward on the Moon returns to its starting point in 4.0 s. The acceleration due to gravity there is 1.60 m/s2 downward. Find the ball’s original speed.
As depicted in Fig. 2-4, a projectile is fired horizontally with a speed of 30 m/s from the top of a cliff 80 m high. (a) How long will it take to strike the level ground at the base of the
A baseball is thrown straight upward on the Moon with an initial speed of 35 m/s. Compute (a) The maximum height reached by the ball, (b) The time taken to reach that height, (c) Its velocity 30 s
A ballast bag is dropped from a balloon that is 300 m above the ground and rising at 13 m/s. For the bag, find (a) The maximum height reached, (b) Its position and velocity 5.0 s after it is
(a) Find the range x of a gun that fires a shell with muzzle velocity υ at an angle of elevation θ. (b) Find the angle of elevation θ of a gun that fires a shell with a muzzle velocity of 120 m/s
A car traveling at 30.0 mph uniformly accelerates up to 50.0 mph in 20.0 s. What was its average speed in m/s?
People working for National Geographic dropped a peregrine falcon from a plane at an altitude of 4572 m (15 000 ft). The bird dove down reaching a speed of about 81.8 m/s (183 mph). Determine its
With the previous problem in mind, supposed they dropped a heavy, smooth rock instead. Neglecting friction, what speed would it attain?Previous problemPeople working for National Geographic dropped a
If a vehicle accelerates at 10.0 m/s2 from rest for 20.0 s, how far will it travel in the process?
For the object whose motion is plotted in Fig. 2-2, find, as best you can, its instantaneous velocity at the following times: (a) 1.0 s, (b) 4.0 s, and (c) 10 s. Displacement along the y-axis
A drone on a runway accelerates from rest at a constant rate of 4.00 m/s2. It travels 20.0 m before lifting off the ground. What speed did it attain as it became airborne?
A body with initial velocity 8.0 m/s moves along a straight line with constant positive acceleration and travels 640 m in 40 s. For the 40 s interval, find (a) The average velocity, (b) The final
A truck starts from rest and moves with a constant acceleration of 5.0 m/s2. Find its speed and the distance traveled after 4.0 s has elapsed.
A box slides down an incline with uniform acceleration. It starts from rest and attains a speed of 2.7 m/s in 3.0 s. Find (a) The acceleration and (b) The distance moved in the first 6.0 s.
A car is accelerating uniformly as it passes two checkpoints that are 30 m apart. The time taken between checkpoints is 4.0 s, and the car’s speed at the first checkpoint is 5.0 m/s. Find the
An auto’s velocity increases uniformly from 6.0 m/s to 20 m/s while covering 70 m in a straight line. Find the acceleration and the time taken.
A plane starts from rest and accelerates uniformly in a straight line along the ground before takeoff. It moves 600 m in 12 s. Find (a) The acceleration, (b) Speed at the end of 12 s, and (c) The
A train running along a straight track at 30 m/s is slowed uniformly to a stop in 44 s. Find the acceleration and the stopping distance.
An object moving at 13 m/s slows uniformly at the rate of 2.0 m/s each second for a time of 6.0 s. Determine (a) Its final speed, (b) Its average speed during the 6.0 s, and (c) The distance moved
A body falls freely from rest. Find (a) Its acceleration, (b) The distance it falls in 3.0 s, (c) Its speed after falling 70 m, (d) The time required to reach a speed of 25 m/s, and (e) The time
A marble dropped from a bridge strikes the water in 5.0 s. Calculate (a) The speed with which it strikes and (b) The height of the bridge.
A stone is thrown straight downward with initial speed 8.0 m/s from a height of 25 m. Find (a) The time it takes to reach the ground and (b) The speed with which it strikes.
A baseball is thrown straight upward with a speed of 30 m/s. (a) How long will it rise? (b) How high will it rise? (c) How long after it leaves the hand will it return to the starting point? (d)
A bottle dropped from a balloon reaches the ground in 20 s. Determine the height of the balloon if (a) It was at rest in the air and (b) It was ascending with a speed of 50 m/s when the bottle was
Two balls are dropped to the ground from different heights. One is dropped 1.5 s after the other, but they both strike the ground at the same time, 5.0 s after the first was dropped. (a) What is the
A nut comes loose from a bolt on the bottom of an elevator as the elevator is moving up the shaft at 3.00 m/s. The nut strikes the bottom of the shaft in 2.00 s. (a) How far from the bottom of the
A marble, rolling with speed 20 cm/s, rolls off the edge of a table that is 80 cm high. (a) How long does it take to drop to the floor? (b) How far, horizontally, from the table edge does the
A body projected upward from the level ground at an angle of 50° with the horizontal has an initial speed of 40 m/s. (a) How long will it take to hit the ground? (b) How far from the starting
A body is projected downward at an angle of 30.0° with the horizontal from the top of a building 170 m high. Its initial speed is 40.0 m/s. (a) How long will it take before striking the
A hose lying on the ground shoots a stream of water upward at an angle of 40° to the horizontal. The speed of the water is 20 m/s as it leaves the hose. How high up will it strike a wall that is a
A World Series batter hits a home run ball with a velocity of 40 m/s at an angle of 26° above the horizontal. A fielder who can reach 3.0 m above the ground is backed up against the bleacher wall,
Prove that a gun will shoot three times as high when its angle of elevation is 60° as when it is 30°, but the bullet will travel the same horizontal distance.
A ball is thrown straight upward with a speed υ from a point h meters above the ground. Show that the time taken for the ball to strike the groundwhere g is positive. (v/g)[1+√1+(2hg/v²)]

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