Ironman steps from the top of a tall building. He falls freely from rest to the ground a distance of h. He falls a distance of h/ 4 in the last interval of time of 1.0 s of his fall.

Hint: First, compute the velocity when Ironman reaches the height equal to the distance fallen. This requires that you do the following: define origin as the bottom of the building. Then use x-x0 = -v0*(t-t0)-(1/2)g(t-t0)^2 where x=0 and x0= (distance fallen) and t-t0 is the time interval given. In this formulation, you are going to get magnitude of v0 since you already inserted the sign. You then insert v0 that you just calculated into the kinematic equation that involves v, g, and displacement (v^2-v0^2 = 2g(height-(distance fallen)), but now v (which is the final velocity is v0 from above) and v0 in this case is the velocity that the Ironman has when he begins to fall, which is 0. This gives a quadratic equation for height h, and you will need to use the binomial equation to solve for h. Choose the larger of the two solutions.

Part A

What is the height h of the building?

Express your answer using two significant figures.

Two 10-cm-diameter charged rings face each other, 15 cm apart. The left ring is charged to − 30 nC and the right ring is charged to + 30 nC.

What is the magnitude of the electric field E⃗  at the midpoint between the two rings?

What is the direction of the electric field E⃗  at the midpoint between the two rings?

What is the magnitude of the force on a proton at the midpoint?

An object is excuting simple harmonic motion. Which is a true statement regarding its motion?

a. its velocity is never zero

b. its acceleration is never zero

c. its velocity and accelertation are simultaneously zero

d. its velocity is zero when tis acceleration is a maximum

e. its acceleration is maximum when its velocity is maximum

A hollow sphere is rolling along a horizontal floor at 7.00 m/s when it comes to a 31.0 ∘ incline.

How far up the incline does it roll before reversing direction?

Express your answer with the appropriate units.

At what speed does the momentum of a particle differ by 2.00% from the value obtained with the nonrelativistic expression mv?

two plastic curved rods, one of charge q and the other of charge -q. which form a semicircle of radius r=8cm in xy. If q=3.8pC, what would be the magnitud and direction of the electric force E produced in P,in the center.

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A 2.50 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0300 m . The spring has force constant 835 N/m . The coefficient of kinetic friction between the floor and the block is 0.41 . The block and spring are released from rest and the block slides along the floor. Part A What is the speed of the block when it has moved a distance of 0.0130 m from its initial position? (At this point the spring is compressed 0.0170 m .)

A 110cm3 box contains helium at a pressure of 2.00atm and a temperature of 100?C. It is placed in thermal contact with a 210cm3 box containing argon at a pressure of 4.00atm and a temperature of 420?C.

What is the initial thermal energy of each gas?

What is the final thermal energy of each gas?

How much heat energy is transferred, and in which direction?

What is the final temperature?

What is the final pressure in each box?

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 24 m/s at an angle 35 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground.

g = 9.81m / s^2

(1) After catching the ball, Sarah throws it back to Julie. The ball leaves Sarah's hand a distance 1.5 meters above the ground, and is moving with a speed of 23 m/s when it reaches a maximum height of 13 m above the ground.

What is the speed of the ball when it leaves Sarah's hand?

How high above the ground will the ball be when it gets to Julie? (note, the ball may go over Julie's head.)

(2) After catching the ball, Sarah throws it back to Julie. However, Sarah throws it too hard so it is over Julie's head when it reaches Julie's horizontal position. Assume the ball leaves Sarah's hand a distance 1.5 meters above the ground, reaches a maximum height of 13 m above the ground, and takes 2.399 s to get directly over Julie's head.

What is the speed of the ball when it leaves Sarah's hand?

How high above the ground will the ball be when it gets to Julie?

A department store elevator is moving downward in a multistory building at a constant speed of 6.30 m/s. Exactly 2.04 s after the top of the elevator car passes a bolt loosely attached to the wall of the elevator shaft, the bolt falls from rest.

(a)

At what time (in s) does the bolt hit the top of the still-descending elevator? (Assume the bolt is dropped at

t = 0 s.)

(b) Estimate the number of floors through which the bolt can fall if the elevator reaches the ground floor before the bolt hits the top of the elevator. (Assume

1 floor = 3 m.)

Alex, Ben, and Chris are trying to move a heavy rock of mass 230 kg. Alex pulls the rock North with a force of 360 N, Ben pushes the rock East with a force of 510 N and Chris pulls the rock with a force of 520 N at an angle 20.0 degrees East of North. They end up moving the rock 2.8 meters 50.97 degrees North of East. In the following answer boxes, enter the work done by Alex, Ben and Chris respectively.
510.00

A flywheel with a radius of 0.400 m starts from rest and accelerates with a constant angular acceleration of 0.200 rad/s2 .

A. Compute the magnitude of the resultant acceleration of a point on its rim at the start.

B. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ∘.

C. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ∘.

D. Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ∘.

E. Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0 ∘.

A person's center of mass is easily found by having the person lie on a reaction board. A horizontal, 3.0-m-long, 6.1kg reaction board is supported only at the ends, with one end resting on a scale and the other on a pivot. A 57kg woman lies on the reaction board with her feet over the pivot. The scale reads 22kg. Assume that the woman doesn't move and a position of her center of mass doesn't change.

What is the distance from the woman's feet to her center of mass?