Master the Art of Physics: Comprehensive Examples and Expert Advice

An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. the plane is traveling horizontally at $30.0m/s$ at a height of $200.0m$ above the ground.

A)What horizontal distance does the package fall before landing?

B)Find the velocity of the package just before it hits the ground.

A student drops two metallic objects into a 120 g steel container holding 150 g of water at 25°C. One object is a240 g cube of copper that is initially at 85°C, and the other is a chunk of aluminum that is initially at 5.0°C. To the surprise of the student, the water reaches a final temperature of 25°C, exactly where it started. What is the mass of the aluminum chunk?

A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 65.0 m/s at an angle of 37 degrees with the horizontal. (a) determine the time taken by the projectile to hitthe point P at ground level. (b) determine the range X of the projectile as measured from the base of the cliff at the instant just before the projectile hits point P. Find (x) the horizontal and vertical components of its velocity and (d) the magnitude of the velocity and (e) the angle made by the velocity vector with the horizontal (f) Find the maximum height above the cliff top reached by the projectile.

Two resistors, A and B, are connected in parallel across a 6.0V battery. The current through B is found to be 2.0 A. When the two resistos are connected in series to the 6.0 V battery,a voltmeter connected across the resistor A measures a voltage of4.0 V. Find the resistances of A and B.

A 2.0- kg piece of wood slides on the surface. The curved sides are perfectly smooth, but the rough horixontal bottom is 30 m long and has a kinetic friction coefficient of 0.20 with the wood. The iece of wood starts fromrest 4.0 m above the rough bottom (a) Where will this wood eventually come to rest? (b) For the motion from the initial release until the piece of wood comes to rest, what is the total amount of work done by friction?

A block of mass m slides on a horizontal frictionless table with an initial speed v. It then compresses a spring of force constant kand is brought to rest. How much is the spring compressed from its natural length?

A diving borad 3.00 m long is supported at a point 1.00 m fromthe end, and a diver weighing 500 N stands at the free end. The diving board is of uniform cross section and weighs 280N. 
A. Find the force at the support point. 
B. Find the force at the end that is beng held down.

A rectangular coil of wire, 22cm by 35 cm and carrying a current of 1.4A, is oriented with the plane of its loop perpendicular to a uniform 1.5T magnetic field. 
a) calculate the net force and torque which the magnetic field exerts on the coil. 
b)the coil is rotated through a 30 degree angle about the y axis, the left side coming out of the plane. Calculate the net force and torque which the magnetic field now exerts on the coil

(a) Determine the electric field E at the origin O in Figure due to the two charges at A and B. (Type your answer using k for proportionality constant, Q for charge and L for the length l.)
(b) Repeat, but let the charge at B be reversed in sign.

An exceptional standing jump would raise a person 0.80 m off the ground. To do this, what force must a 66-kg person exert against the ground? Assume the person crouches a distance of 0.20 m prior to jumping, and thus the upward force has this distance to act over before he leaves the ground.

In a scene in an action movie, a stuntman jumps from the top of one building to the top of another building 4.0m away. After a running start, he leaps at a velocity of 5.0 m/s at an angle of 15degrees with respect to the flat roof. Will he make it to the other roof, which is 2.5m shorter than the building he jumps from?

Two spherical objects are separated by a distance of ­${\displaystyle 1.80\times {10}^{­-3}}$ m. The objects are initially electrically neutral and are very small compared to the distance between them. Each object acquires the same negative charge due to the addition of electrons. As a result, each object experiences an electrostatic force that has a magnitude of ${\displaystyle 4.55\times {10}^{-21}}$ N. How many electron did? It take to produce the chargeon one of the objects?

 
Consider the three circuits shown above. All the resistors and all the batteries are identical. Which of the statements are true and which ones are false? 
1)The power dissipated in circuit A is twice the power dissipated in circuit B. 
2) The current through a resistor is the same in circuits A and C. 
3) The current through a resistor is the same in circuits A and B. 
4) The voltage across a single resistor in circuit C is twice the voltage across a single resistor in circuit B. 
5) The total power dissipated in circuit C is twice the total power dissipated in circuit B.

A proton is released in a uniform electric field, and it experiences an electric force of ${\displaystyle 3.75\times {10}^{-14}N}$ toward the south. What are the magnitude and direction of the electricfield? The equation is E=f/q, but there is only one number and three variables. What numbers go in the other two?

A ski tow operates on a 15.0 degrees slope of lenth 300m. The rope moves at 12.0km/h and provides power for 50 riders at one time, with an average mass per rider of 70.0kg. Estimate the power required to operate the tow.

A 0.145 kg baseball pitched at 39.0 m/s is hit on a horizontal line drive straight back toward the pitcher at 52.0 m/s. If the contact time between bat and ball is ${\displaystyle 1.00\times {10}^{-3}}$ s,calculate the average force between the bat and ball during contest.

The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 4 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times?

Raindrops make an angle theta with the vertical when viewed through a moving train window. If the speed of the train is v (subscript t), what is the speed of the raindrops in the reference frame of the Earth in which they are assumed to fall vertically?

A 7.0- g bullet is fired into a 1.5- kg ballistic pendulum.The bullet emerges from the block with a speed of 200 m/s, and theblock rises to a maximum height of 12 cm. Find the initial speed ofthe bullet.

Torricelli's Law provides the volume V of water still in the tank after t minutes if a tank holds 5000 gallons of water and the water drains from the bottom of the tank in 40 minutes.${\displaystyle (1-{\frac{t}{40}}^2)5000=V0\le t\le 40}$.
Find the rate at which the tank's water is emptying after (a) five minutes and (b) ten minutes. At what time is the water flowing out the fastest? The slowest?