An object of mass 0.50 kg is released from the top of a building of height 6 m. The object experiences a horizontal constant force of 1.2 N due to a wind blowing parallel to the face of the building.

(a) Find the time it takes for the object to strike the ground. s

(b) What is the magnitude of the acceleration of the object? m/s2

c) Through what horizontal distance does the object move before it hits the ground?

A laser beam of wavelength 580nm is incident normally on a transmission grating having 440lines/mm .

Find the angles of deviation in the first, second, and third orders of bright spots.

Two objects with masses 4.20kg and 2.20kg hang 0.500m above the floor from the ends of a cord 7.30m long passing over a frictionless pulley. Both objects start from rest.

a) Find the maximum height reached by the 2.20kg object.

How to to find wave speed of a string using derivation of second newton law ?

The horizontal and vertical components of the initial velocity of a football are 20m/s and 30 m/s respectively. Assume that after rising some height, the football returns back to the ground level.

1) what is the speed of the football at 3s after launch?

2) to what maximum height does the football rise?

3)What horizontal distance does the football travel during its flight?

Please show full explaination and steps for answer.

use the thin lens equation to explain why for a given screen-object distance there are two positions where the image is in focus

A person is seated in a swivel chair. The moment of inertia around the swivel point will be about 3.0 kg m2for the person and chair combined. If their "friend" starts to spin them, changing their rate of rotation from 1.5 rad/s to 2.0 rad/s in 2.5 s, the net torque being applied is:
a. 0.60nm
b. 1.1nm
c. 2.4nm
d. 3.8nm
e. none of these

A person is seated in a swivel chair. The moment of inertia around the swivel point will be about 3.0 kg m2for the person and chair combined. If their "friend" starts to spin them, producing an angular acceleration of 4.0 rad/s2 for 5.0 s, the net torque being applied is:
a. 0.75nm

b. 1.3nm
c. 2.4nm
d. 12nm
e. none of these.

A person is seated in a swivel chair. The moment of inertia around the swivel point will be about 3.0 kg m2for the person and chair combined. When spinning at 2.0 rad/s, they will be brought to rest by friction in the bearings which applies a net torque whose magnitude is a constant 1.3 n m. How long will it take for them to stop?

1. 0.51 s

2. 4.6s

3. 5.0s

4. 8.7s

5. none of these.

How many ways can you see that heat can transfer from the inside to the outside of your room on a cold day? List at least three and describe in detail how heat moves through the different kinds of materials (glass, brick, wood, insulation, etc.)—by conduction, convection or radiation. Which process do you suppose dominates?

A 85.3-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.16 x 103 N/m. He accidentally slips and falls freely for 0.757 m before the rope runs out of slack. How much is the rope stretched when it breaks his fall and momentarily brings him to rest?

A massless pan hangs from a spring that is suspended from the ceiling. When empty, the pan is 53 cm below the ceiling. If a 105 g clay ball is placed gently on the pan, the pan hangs 60 cm below the ceiling. Suppose the clay ball is dropped from the ceiling onto an empty pan. What is the pan's distance from the ceiling when the spring reaches its maximum length?

Robert has just bought a new model rocket, and is trying to measure its flight characteristics. The rocket engine package claims that it will maintain a constant thrust of 13.8 N until the engine is used up. Robert launches the rocket on a windless day, so that it travels straight up, and uses his laser range-finder to meaure that the height of the rocket when the engine cuts off is 21.2 m. He also measures the rocket\'s peak height, which is 25.7 m. If the rocket has a mass of 0.763 kg, how much work is done by the drag force on the rocket during its ascent?

Two infinitely long parallel rods carrying uniform charge density lambda are at a distance d from each other. Find the electric force on a particle of charge q_* located a distance d directly left of one of the rods. (Derive the formula using Gauss' Law)

**Convert all units to MKS**

1. In some collisions, KE is less after the collision than before. Since energy

cannot be lost, what happened to it? What could you do to show this is true?

2. A 2.00g bullet strikes a 2.00kg block hanging from a long cord. The bullet imbeds itself in the block causing the block with bullet embedded to swing upwards to a height of 50.0 cm above its original position.

A. What type of collision best describes the bullet striking the block?

B. Do a walk-through of the energy of the system starting just before the bullet strikes the block and continue until the block and bullet reach max height.

C. Find the velocity of the bullet before it collides with the block.

3. A 450g rubber ball is dropped from 2.0m above the floor. After the bounce, the ball only rises to a height of 1.5m above the floor.

A. Determine the change in momentum of the ball when it hits the floor and bounces up. (hint: either use motion equations or conservation of energy to determine the speed of the ball when it reaches the floor.)

B. Calculate the amount of heat generated when the ball hits the floor.

C. Explain how momentum is conserved when the ball collides with the floor.

Two capacitors C₁ = 3.2 ?F, C₂ = 13.5 ?F are charged individually to V₁ = 19.0 V, V₂ = 5.6 V. The two capacitors are then connected together in parallel with the positive plates together and the negative plates together.

1.Calculate the final potential difference across the plates of the capacitors once they are connected.

2.Calculate the amount of charge (absolute value) that flows from one capacitor to the other when the capacitors are connected together.

3.By how much (absolute value) is the total stored energy reduced when the two capacitors are connected?