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physics
schaums outline of college physics

Questions and Answers of Schaums Outline Of College Physics

A ball is thrown upward at an angle of 30° to the horizontal and lands on the top edge of a building that is 20 m away. The top edge is 5.0 m above the throwing point. How fast was the ball thrown?
As an introduction to dealing with force vectors, consider the four coplanar forces acting on a body at point O as shown in Fig. 3-1(a). Find their resultant graphically. 160 N 110 N 30° 20° 45° O
To gain some practice treating force vectors before we get into Newton’s Laws, examine the five coplanar forces seen in Fig. 3-2(a) acting on an object at the origin. Find their resultant
Solve Problem 3.1 by use of the component method. Give your answer for the magnitude to two significant figures.Problem 3.1As an introduction to dealing with force vectors, consider the four coplanar
A force of 100 N makes an angle of θ with the x-axis and has a scalar y-component of 30 N. Find both the scalar x-component of the force and the angle θ. (Remember that the number 100 N has three
Three forces that act on a particle are given byandFind their resultant vector. Also find the magnitude of the resultant to two significant figures. If you haven’t learned about basis vertors skip
A child pulls on a rope attached to a sled with a force of 60 N. The rope makes an angle of 40° to the ground. (a) Compute the effective value of the pull tending to move the sled along the
A car whose weight is FW is on a ramp, which makes an angle θ to the horizontal. How large a perpendicular force must the ramp withstand if it is not to break under the car’s weight?
Find the weight on the surface of the Earth of a body whose mass is (a) 3.00 kg, and (b) 200 g.
The object in Fig. 3-7(a) weighs 50 N and is supported by a cord. Find the tension in the cord. se 50 N (a)
A 20.0 kg object that can move freely is subjected to a resultant force of 45.0 N in the –x-direction. Find the acceleration of the object.
A 5.0-kg object is to be given an upward acceleration of 0.30 m/s2 by a rope pulling straight upward on it. What must be the tension in the rope?
A horizontal force of 140 N is needed to pull a 60.0-kg box across horizontal floor at constant speed. What is the coefficient of friction between floor and box? Determine it to three significant
The only force acting on a 5.0-kg object has components Fx = 20 N and Fy = 30 N. Find the acceleration of the object.
A 600-N object is to be given an acceleration of 0.70 m/s2. How large an unbalanced force must act upon it?
A constant force acts on a 5.0 kg object and reduces its velocity from 7.0 m/s to 3.0 m/s in a time of 3.0 s. Determine the force.
A 400-g block with an initial speed of 80 cm/s slides along a horizontal tabletop against a friction force of 0.70 N. (a) How far will it slide before stopping? (b) What is the coefficient of
A 600-kg car is coasting along a level road at 30 m/s. (a) How large a retarding force (assumed constant) is required to stop it in a distance of 70 m? (b) What is the minimum coefficient of
As shown in Fig. 3-11(a), an object of mass m is supported by a cord. Find the tension in the cord if the object is (a) At rest, (b) Moving at constant velocity, (c) Accelerating upward with
An 8000-kg engine pulls a 40 000-kg train along a level track and gives it an acceleration a1 = 1.20 m/s2. What acceleration (a2) would the engine give to a 16 000-kg train? Ignore friction.
A 70-kg box is slid along the floor by a 400-N force as shown in Fig. 3-13. The coefficient of friction between the box and the floor is 0.50 when the box is sliding. Find the acceleration of the
A tow rope will break if the tension in it exceeds 1500 N. It is used to tow a 700-kg car along level ground. What is the largest acceleration the rope can give to the car?
Compute the least acceleration with which a 45-kg woman can slide down a rope if the rope can withstand a tension of only 300 N.
Suppose, as depicted in Fig. 3-14, that a 70-kg box is pulled by a 400-N force at an angle of 30° to the horizontal. The coefficient of kinetic friction is 0.50. Find the acceleration of the box. 70
As seen in Fig. 3-15, a force of 400 N pushes on a 25-kg box. Starting from rest, the box uniformly speeds up and achieves a velocity of 2.0 m/s in a time of 4.0 s. Compute the coefficient of kinetic
A car coasting at 20 m/s along a horizontal road has its brakes suddenly applied and eventually comes to rest. What is the shortest distance in which it can be stopped if the friction coefficient
A 200-N wagon is to be pulled up a 30° incline at constant speed. How large a force parallel to the incline is needed if friction effects are negligible?
A 20-kg box sits on an incline as illustrated in Fig. 3-17. The coefficient of kinetic friction between box and incline is 0.30. Find the acceleration of the box down the incline. y 30° 0.50
When a force of 500 N pushes on a 25-kg box as shown in Fig. 3-18, the resulting acceleration of the box up the incline is 0.75 m/s2. Compute the coefficient of kinetic friction between the box and
Two blocks, of masses m1 and m2, moving in the x-direction are pushed by a force F as shown in Fig. 3-19. The coefficient of friction between each block and the table is 0.40. (a) What must be the
A cord passing over a light frictionless pulley has a 7.0-kg mass hanging from one end and a 9.0-kg mass hanging from the other, as seen in Fig. 3-20. (This arrangement is called Atwood’s machine.)
In Fig. 3-21, the coefficient of kinetic friction between block-A and the table is 0.20. Also, mA = 25 kg, and mB = 15 kg. How far will object-B drop in the first 3.0 s after the system is released?
How large a horizontal force in addition to FT must pull on block-A in Fig. 3-21 to give it an acceleration of 0.75 m/s2 toward the left? Assume, as in Problem 3.31, that μk = 0.20, mA = 25 kg, and
The coefficient of static friction between a box and the flat bed of a truck is 0.60. What is the maximum acceleration the truck can have along level ground if the box is not to slide?
In Fig. 3-22, the two boxes have identical masses of 40 kg. Both experience a sliding friction force with μk = = 0.15. Find the acceleration of the boxes and the tension in the tie cord.
In the system shown in Fig. 3-23(a), force F accelerates block-1 of mass m1 to the right. Write an expression for its acceleration in terms of F and the coefficient of friction μk at the contact
In the system of Fig. 3-24, friction and the mass of the pulley are both negligible. Find the acceleration of m2 if m1 = 300 g, m2 = 500 g, and F = 1.50 N. T m₁ FTI FT2 Fig. 3-24 m2
In Fig. 3-25, the weights of the objects are 200 N and 300 N. The pulleys are essentially frictionless and massless. Pulley P1 has a stationary axle, but pulley P2 is free to move up and down. Find
The Moon, whose mass is 7.35 × 1022 kg, orbits the Earth, whose mass is 5.98 × 1024 kg, at a mean distance of 3.85 × 108 m. It is held in a nearly circular orbit by the Earth-Moon gravitational
Consider an essentially spherical homogeneous celestial body of mass M. The acceleration due to gravity in its vicinity beyond its surface at a distance R from its center is gR. Show that Notice
Compute the approximate mass of the Earth, assuming it to be a sphere of radius 6370 km. Ignore the planet’s spin. Use g = 9.81 m/s2 and give your answer to three significant figures.
Two forces act on a point object as follows: 100 N at 170.0° and 100 N at 50.0°. Find their resultant.
The mythical planet Mongo has twice the mass and twice the radius of Earth. Compute the acceleration due to gravity at its surface. Ignore the Earth’s spin and use g = 9.81 m/s2.
Compute algebraically the resultant of the following coplanar forces: 100 N at 30°, 141.4 N at 45°, and 100 N at 240°. Check your result graphically.
Two forces, 80 N and 100 N, acting at an angle of 60° with each other, pull on an object. (a) What single force would replace the two forces? (b) What single force (called the equilibrant) would
Find algebraically the (a) Resultant and (b) Equilibrant (see Problem 3.44) of the following coplanar forces: 300 N at exactly 0°, 400 N at 30°, and 400 N at 150°.Problem 3.44Two forces, 80 N
Having hauled it to the top of a tilted driveway, a child is holding a wagon from rolling back down. The driveway is inclined at 20° to the horizontal. If the wagon weighs 150 N, with what force
Repeat Problem 3.46 if the handle is now raised at an angle of 30° above the incline.Problem 3.46Having hauled it to the top of a tilted driveway, a child is holding a wagon from rolling back down.
A force of 100 lb acting on a body weighing 500 lb causes the body to accelerate uniformly. What would happen to the acceleration if the force is increased to 200 lb?
An unknown force acting on a 50.0-g body floating in space produces a constant acceleration of 20.0 cm/s2. If the same force is now made to act on a different body, also in space, producing a
Once ignited, a small rocket motor on a spacecraft exerts a constant force of 10 N for 7.80 s. During the burn, the rocket causes the 100-kg craft to accelerate uniformly. Determine that acceleration.
Typically, a bullet leaves a standard 45-caliber pistol (5.0-in. barrel) at a speed of 262 m/s. If it takes 1 ms to traverse the barrel, determine the average acceleration experienced by the 16.2-g
A force acts on a 2-kg mass and gives it an acceleration of 3 m/s2. What acceleration is produced by the same force when acting on a mass of (a) 1 kg? (b) 4 kg? (c) How large is the force?
An object has a mass of 300 g. (a) What is its weight on Earth? (b) What is its mass on the Moon? (c) What will be its acceleration on the Moon under the action of a 0.500-N resultant force?
A horizontal cable pulls a 200-kg cart along a horizontal track. The tension in the cable is 500 N. Starting from rest, (a) How long will it take the cart to reach a speed of 8.0 m/s? (b) How far
A 900-kg car is going 20 m/s along a level road. How large a constant retarding force is required to stop it in a distance of 30 m?
A 12.0-g bullet is accelerated from rest to a speed of 700 m/s as it travels 20.0 cm in a gun barrel. Assuming the acceleration to be constant, how large was the accelerating force?
A 20-kg crate hangs at the end of a long rope. Find its acceleration (magnitude and direction) when the tension in the rope is (a) 250 N, (b) 150 N, (c) zero, (d) 196 N.
A 5.0-kg mass hangs at the end of a cord. Find the tension in the cord if the acceleration of the mass is (a) 1.5 m/s2 up, (b) 1.5 m/s2 down, (c) 9.81 m/s2 down. Don’t forget gravity.
A 700-N man stands on a scale on the floor of an elevator. The scale records the force it exerts on whatever is on it. What is the scale reading if the elevator has an acceleration of (a) 1.8 m/s2
Using the scale described in Problem 3.59, a 65.0-kg astronaut weighs himself on the Moon, where g = 1.60 m/s2. What does the scale read?Problem 3.59A 700-N man stands on a scale on the floor of an
A cord passing over a frictionless, massless pulley has a 4.0-kg object tied to one end and a 12-kg object tied to the other. Compute the acceleration and the tension in the cord.
An elevator starts from rest with a constant upward acceleration. It moves 2.0 m in the first 0.60 s. A passenger in the elevator is holding a 3.0-kg package by a vertical string. What is the tension
Just as her parachute opens, a 60-kg parachutist is falling at a speed of 50 m/s. After 0.80 s has passed, the chute is fully open and her speed has dropped to 12.0 m/s. Find the average retarding
A 300-g mass hangs at the end of a string. A second string hangs from the bottom of that mass and supports a 900-g mass. (a) Find the tension in each string when the masses are accelerating upward
A 20-kg wagon is pulled along the level ground by a rope inclined at 30° above the horizontal. A friction force of 30 N opposes the motion. How large is the pulling force if the wagon is moving
Someone wearing rubber-soled shoes is standing still on a wooden floor. If a horizontal push of 800 N just gets him sliding, how much does he weigh?Use Table 3-1 and give your answer to one
A 12-kg box is released from the top of an incline that is 5.0 m long and makes an angle of 40° to the horizontal. A 60-N friction force impedes the motion of the box.(a) What will be the
A standing 580-N woman wearing climbing boots is to be pulled at a constant speed by a horizontal force along a flat horizontal rock surface. What force will be necessary? Use Table 3-1. TABLE
A wooden crate weighing 1000 N is at rest on a wooden floor. What is the smallest horizontal force needed to move it?
For the situation outlined in Problem 3.66, what is the coefficient of friction between the box and the incline?Problem 3.66A 12-kg box is released from the top of an incline that is 5.0 m long and
A horizontal force F is exerted on a 20-kg box to slide it up a 30° incline. The friction force retarding the motion is 80 N. How large must F be if the acceleration of the moving box is to be (a)
An inclined plane makes an angle of 30° with the horizontal. Find the constant force, applied parallel to the plane, required to cause a 15-kg box to slide (a) Up the plane with acceleration 1.2
An inclined plane making an angle of 25° with the horizontal has a pulley at its top. A 30-kg block on the plane is connected to a freely hanging 20-kg block by means of a cord passing over the
Repeat Problem 3.73 if the coefficient of friction between block and plane is 0.20.Problem 3.73An inclined plane making an angle of 25° with the horizontal has a pulley at its top. A 30-kg block on
Find the acceleration of the blocks in Fig. 3-26 if friction forces are negligible. What is the tension in the cord connecting them? 4.0 kg Fig. 3-26 5.0 kg F = 30 N
A horizontal force of 200 N is required to cause a 15-kg block to slide up a 20° incline with an acceleration of 25 cm/s2. Find (a) The friction force on the block and (b) The coefficient of
Repeat Problem 3.76 if the coefficient of kinetic friction between the blocks and the table is 0.30.Problem 3.76Find the acceleration of the blocks in Fig. 3-26 if friction forces are negligible.
How large a force F is needed in Fig. 3-27 to pull out the 6.0-kg block with an acceleration of 1.50 m/s2 if the coefficient of friction at its surfaces is 0.40? Lae 2.0 kg 6.0 kg Fig. 3-27 F
In Fig. 3-28, how large a force F is needed to give the blocks an acceleration of 3.0 m/s2 if the coefficient of kinetic friction between blocks and table is 0.20? How large a force does the 1.50- kg
Three blocks with masses 6.0 kg, 9.0 kg, and 10 kg are connected as shown in Fig. 3-29. The coefficient of friction between the table and the 10-kg block is 0.20. Find (a) The acceleration of the
(a) What is the smallest force parallel to a 37° incline needed to keep a 100-N weight from sliding down the incline if the coefficients of static and kinetic friction are both 0.30? (b) What
A 5.0-kg block rests on a 30° incline. The coefficient of static friction between the block and the incline is 0.20. How large a horizontal force must push on the block if the block is to be on the
Floating in space far from anything else are two spherical asteroids, one having a mass of 20 × 1010 kg and the other a mass of 40 × 1010 kg. Compute the force of attraction on each one due to
Two cannonballs that each weigh 4.00 kN on Earth are floating in space far from any other objects. Determine the mutually attractive gravitational force acting on them when they are separated,
Imagine a planet and its moon gravitationally interacting with a force FG. What would be the value of the gravitational force if the moon were moved out to three times the original center-to-center
Two NASA vehicles separated by a center-to-center distance R are floating in space. They each experience an attractive gravitational force FG, which must be kept constant. If the masses of both
Suppose you are designing a small, artificial nonspinning planet of mass mp and radius Rp. What would happen to the acceleration due to gravity at the planet’s surface if you double its mass
Suppose you are designing an artificial nonspinning planet of mass mp and diameter Dp. What would happen to the acceleration due to gravity at the planet’s surface if you double its diameter
Suppose you are designing an artificial nonspinning planet of mass mp and radius Rp. What would happen to the acceleration due to gravity at the planet’s surface if you double its radius and triple
A space station that weighs 10.0 MN on Earth is positioned at a distance of ten Earth radii from the center of the planet. What would it weigh out there in space—that is, what is the value of the
An object that weighs 2700 N on the surface of the Earth is raised to a height (i.e., altitude) of two Earth radii above the surface. What will it weigh up there?
Imagine a planet having a mass twice that of Earth and a radius equal to 1.414 times that of Earth. Determine the acceleration due to gravity at its surface.
The Earth’s radius is about 6370 km. An object that has a mass of 20 kg is taken to a height of 160 km above the Earth’s surface. (a) What is the object’s mass at this height? (b) How much
A man who weighs 1000 N on Earth stands on a scale on the surface of the mythical nonspinning planet Mongo. That body has a mass that is 4.80 times Earth’s mass and a diameter, that is 0.500 times
The radius of the Earth is about 6370 km, while that of Mars is about 3440 km. If an object weighs 200 N on Earth, what would it weigh, and what would be the acceleration due to gravity, on Mars? The
The fabled planet Dune has a diameter eight times that of Earth and a mass twice as large. If a robot weighs 1800 N on the surface of (nonspinning) Dune, what will it weigh at the poles on Earth?
In Fig. 4-1(a), the tension in the horizontal cord is 30 N as shown. Find the weight of the hanging body. 40° cord 2 50% cord 1 weight = Fa (a) 30 N
An astronaut weighs 480 N on Earth. She visits the planet Krypton, which has a mass and diameter each ten times that of Earth. Determine her weight at a distance of two Kryptonian radii above that
A rope extends between two poles. A 90-N boy hangs from it as shown in Fig. 4-2(a). Find the tensions in the two parts of the rope. 10⁰ Fri M (a) 5.0° Fr Fr sin 104 Fr 10° Fricos 10° Fig.

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