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a. is there a real number x such that ___?

b. does there exist ____ such that x^2= -1?

Three objects A, B, and C are moving as shown in the figure below (Figure 1) . Assume that vA = 11.4 m/s , vB = 9.60 m/s , and vC = 3.80 m/s .

Figure:https://session.masteringphysics.com/problemAsset/...

1.Find the x component of the net momentum of the particles if we define the system to consist of A and C. =

-38.0

2.Find the y component of the net momentum of the particles if we define the system to consist of A and C.=-57

3.Find the x component of the net momentum of the particles if we define the system to consist of B and C.

4.Find the y component of the net momentum of the particles if we define the system to consist of B and C.

5Find the x component of the net momentum of the particles if we define the system to consist of all three objects.

6.Find the y component of the net momentum of the particles if we define the system to consist of all three objects.

Two ice skaters, Daniel (mass 65.0 kg ) and Rebecca (mass 45.0 kg ), are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at 14.0 m/s before she collides with him. After the collision, Rebecca has a velocity of magnitude 8.00 m/s at an angle of 55.1 ∘ from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.

1. What is the magnitude of Daniel's velocity after the collision?

2.What is the direction of Daniel's velocity after the collision?

3.What is the change in total kinetic energy of the two skaters as a result of the collision?

A small wooden block with mass 0.750 kg is suspended from the lower end of a light cord that is 1.74 m long. The block is initially at rest. A bullet with mass 0.0130 kg is fired at the block with a horizontal velocity v0. The bullet strikes the block and becomes embedded in it. After the collision the combined object swings on the end of the cord. When the block has risen a vertical height of 0.750 m , the tension in the cord is 4.82 N .

What was the initial speed v0 of the bullet?

Express your answer with the appropriate units.

A 20-g bullet is shot vertically into an 3-kg block. The block lifts upward 6.0 mm (see the figure). The bullet penetrates the block and comes to rest in it in a time interval of 0.0010 s. Assume the force on the bullet is constant during penetration and that air resistance is negligible. The initial kinetic energy of the bullet is closest to

Figure: https://session.masteringphysics.com/problemAsset/...

CHOICES

13 J

26 J

0.18 J

18 J

1.2×10−3 J

A 2.65 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0360 m . The spring has force constant 830 N/m . The coefficient of kinetic friction between the floor and the block is 0.44 . The block and spring are released from rest and the block slides along the floor.

What is the speed of the block when it has moved a distance of 0.0160 m from its initial position? (At this point the spring is compressed 0.0200 m .)

Express your answer with the appropriate units.

A graph of the force on an object as a function of its position is shown in the figure. Determine the amount of work done by this force on an object that moves from x = 1.0 m to x = 7.0 m. (Assume an accuracy of 2 significant figures for the numbers on the graph.)

IMAGE:https://session.masteringphysics.com/problemAsset/...

choices

32 J

35 J

26 J

28 J

33 J

A child pulls on a wagon with a horizontal force of 75 N. If the wagon moves horizontally a total of 42 m in 3.2.0 min, what is the average power generated by the child?

choices

21 W

20 W

16 W

24 W

A block of ice of mass 4.10 kg is placed against a horizontal spring that has force constant k = 170 N/m and is compressed a distance 2.10×10−2 m . The spring is released and accelerates the block along a horizontal surface. You can ignore friction and the mass of the spring.

A

Calculate the work done on the block by the spring during the motion of the block from its initial position to where the spring has returned to its uncompressed length.

Express your answer using two significant figures.

b.What is the speed of the block after it leaves the spring?

Express your answer using two significant figures.

Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.40×106 N , one at an angle 15.0 ∘ west of north, and the other at an angle 15.0 ∘ east of north, as they pull the tanker a distance 0.610 km toward the north.

What is the total work done by the two tugboats on the supertanker?

Express your answer in joules, to three significant figures.

A student slides her 80.0-kg desk across the level floor of her dormitory room a distance 4.90 m at constant speed. If the coefficient of kinetic friction between the desk and the floor is 0.400, how much work did she do?

A 9.22 J

B 1.54 kJ

C 23.0 J

D 15.4 J

E 20.0 J

A light rope is attached to a block with mass 3.60 kg that rests on a frictionless, horizontal surface. The horizontal rope passes over a frictionless, massless pulley, and a block with mass m is suspended from the other end. When the blocks are released, the tension in the rope is 17.2 N .

As shown in the figure(Figure 1) , block A (mass 2.30 kg ) rests on a tabletop. It is connected by a horizontal cord passing over a light, frictionless pulley to a hanging block B (mass 2.43 kg ). The coefficient of kinetic friction between block A and the tabletop is 0.352.

IMAGE:https://session.masteringphysics.com/problemAsset/...

A. After the blocks are released from rest, find the speed of each block after moving 2.70 cm .

BAfter the blocks are released from rest, find the tension in the cord.

A stockroom worker pushes a box with mass 11.0 kg on a horizontal surface with a constant speed of 3.40 m/s . The coefIficient of kinetic friction between the box and the surface is 0.24. Express your answer with the appropriate units.

A man pushes on a piano with mass 190 kg ; it slides at constant velocity down a ramp that is inclined at 19.0 ∘ above the horizontal floor. Neglect any friction acting on the piano.

A.Calculate the magnitude of the force applied by the man if he pushes parallel to the floor.

Express your answer with the appropriate units.

A 50.0-kg block is being pulled up a 16.6° slope by a force of 250 N which is parallel to the slope. The coefficient of kinetic friction between the block and the slope is 0.200. What is the magnitude of the acceleration of the block?

Choices0.317 m/s2

0.190 m/s2

0.444 m/s2

0.254 m/s2

0.381 m/s2

Three objects are connected as shown in the figure. The strings and frictionless pulleys have negligible masses, and the coefficient of kinetic friction between the 2.0-kg block and the table is 0.41. What is the acceleration of the 2.0-kg block?

IMAGE HERE:https://session.masteringphysics.com/problemAsset/...

Choices:3.1 m/s2

1.3 m/s2

2.5 m/s2

1.9 m/s2

A 6.0 kg box slides down an inclined plane that makes an angle of 39° with the horizontal. If the coefficient of kinetic friction is 0.37, at what rate does the box accelerate down the slope?

Choices

3.4 m/s2

3.7 m/s2

4 m/s2

4.5 m/s2