Since the floor is rough, it exerts both a normal force N₁ and a frictional force f₁ on the ladder. However, since the wall is frictionless, it exerts only a normal force N₂ on the ladder. The ladder has a length of L = 4.1 m, a weight of W_L = 58.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90 kg is standing on the ladder, determine the following.

(a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.)

N1=

N2=

F1=

(b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.)

N1=

N2=

F1=

Julie throws a ball to her friend Sarah. The ball leaves Julie’s hand a distance 1.0 m above the ground with an initial speed of 10 m/s at an angle 30◦ with respect to the horizontal. Sarah catches the ball 1.0 m above the ground.

(a) What is the horizontal component of the ball’s velocity right before Sarah catches it?

(b) What is the vertical component of the ball’s velocity right before Sarah catches it?

(c) What is the time the ball is in the air?

(d) What is the distance between the two girls?

(e) 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 1.0 m above the ground, reaches a maximum height of 6 m above the ground, and takes 1.115 sec to get directly over Julie’s head. What is the speed of the ball and the angle with the horizontal when it leaves Sarah’s hand?

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

A house has well-insulated walls. It contains a volume of 90 m³ of air at 295 K.

(a) Consider heating it at constant pressure. Calculate the energy required to increase the temperature of this diatomic ideal gas by 1.5�C.

(b) If this energy could be used to lift an object of mass m through a height of 2.3 m, what is the value of m?

If a charge "Q" is removed from the inside surface of a hollow sphere of radius "a" with infinite conductivity. (a)How much force is required to remove the charge from the sphere? (b)How much work is done to move the charge to a radius of infinity?

A ball is thrown toward a cliff of height h with a speed of 27m/s and an angle of 60? above horizontal. It lands on the edge of the cliff 3.9slater.

Part AHow high is the cliff?

Part bWhat was the maximum height of the ball?

PartC What is the ball's impact speed?

1) A ball is thrown from the top of a roof at an angle of 20 o with respect to the vertical. 1 s later a ball is dropped from the top of the roof

a) If the height of the roof is 20 m, determine the velocity with which the first ball must be thrown in

order for both balls to land at exactly the same time.

b) Imagine the velocity of the first ball is now known, and instead it is the height of the building which

is unknown. Can you obtain an equation for the height of the building which would result in both balls

landing on the floor at the same time

2. Draw a diagram (concept map) that depicts the relationships between resolution, numerical aperture, refractive index, depth of focus, magnification, working distance, and wavelength. Be sure to indicate whether relationships are positively or inversely related. Note that not all parameters need to have a relationship.

An ideal gas is taken through a complete cycle in three steps: adiabatic expansion with work equal to I25 J, isothermal contraction at 325 K, and increase in pressure at constant volume.

(a) Draw a p-V diagram for the three steps.

(b) How much energy is transferred as heat in step 3, and

(c) is it transferred to or from the gas?

A 0.414 kg object is at rest at the origin of a coordinate system. A 3.17 N force in the positive x direction acts on the object for 2.98 s. What is the velocity at the end of this interval?

b. At the end of this interval, a constant force of 4.04 N is applied in the negative x direction for 4.17 s. What is the velocity at the end of the 4.17 s?

Briefly describe the principle of surface force apparatus

Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 44.2 km/s and 57.5 km/s. The slower planet's orbital period is 7.50 years.

The coefficient of kinetic friction between the 2.0 kg block in figure and the table is 0.290.

a)What is the acceleration of the 2.0 kg block?

The mean distance between the Earth and the Sun is 1.50

Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The first has a mass of 4.00 ✕ 10³ kg, and the second a mass of 7.50 ✕ 10³ kg. Assume that the positive direction is directed from the second satellite towards the first satellite.

(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest.
??????m/s

(b) What is the loss of kinetic energy in this inelastic collision?
??????J

(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.
final velocity
??????m/s
loss of kinetic energy
??????J

Define the following terms using a sentence (or two in the case of two terms):

e. Momentum relaxation time

f. Carrier lifetime

g. Average drift velocity

h. Scattering (Ionized impurity and lattice)

i. Recombination level

j. Diffusion

k. Diffusion coefficient

l. Diffusion length

m. Einstein relation