Master the Art of Physics: Comprehensive Examples and Expert Advice

A rocket is launched at an angle of 53 degrees above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s a long its initial line of motion with an acceleration of 30.0 m/s/s. At this time, its engines fail and the rocket proceeds to move as a projectile. Find: 
a) the maximum altitude reached by the rocket 
b) its total time of flight 
c) its horizontal range.

A skier of mass 70 kg is pulled up a slope by a motor driven cable. (a) How much work is required to pull him 60m up a 30 degree slope (assumed frictionless) at a constant speed of 2.0 m/s ?(b) What power must a motor have to perform this task?

Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

A frictionless plane is 10.0 m long and inclined atA sled starts at the bottom with an initial speed of 5.00 m/s up the incline. When it reaches the point at which it momentarily stops, a second sled is released from the top of this incline with an initial speed v1 both sleds reach the bottom of thein cline at the same moment. 
(a) Determine the distance that the first sled traveled up the incline. 
(b) Determine the initial speed of the second sled.

A uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes. Find the tension in each rope when a 700-N person is 0.500 m from the left end.

A potters wheel having a radius of 0.50 m and a moment of inertia of ${\displaystyle 12kg\cdot m^2}$ is rotating freely at 50 rev/min. The potter can stop the wheel in 6.0s by pressing a wet rag against the rim and exerting a radially inward force of 70N. Find the effective coefficient of kinetic friction between the wheel and the wet rag.

A window washer of mass M is sitting on a platform suspended by a system of cables and pulleys. He is pulling on the cable with a force of magnitude F.The cables and pulleys are ideal (massless and frictionless), and the platform has negligible mass. 
Find the magnitude of the minimum force F that allows the window washer to move upward. 
Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g.

A 0.450 kg ice puck, moving east with a speed of ${\displaystyle 3.00\frac{m}{s}}$ has a head in collision with a 0.900 kg puck, initially at rest. Assuming a perfectly elastic collision what will be the speed and direction of each object after the collision?

A chandelier with mass m is attached to the ceiling of a large concert hall by two cables.Because the ceiling is covered with intricate architectur al decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension ${\displaystyle T_1}$ and makes an angle of ${\displaystyle {\theta }_1}$ with the ceiling. Cable 2 has tension ${\displaystyle T_2}$ and makes an angle of ${\displaystyle {\theta }_2}$ with the ceiling.
Find an expression for ${\displaystyle T_1}$, the tension in cable 1, that does not depend on ${\displaystyle T_2}$.
Express your answer in terms of someor all of the variables m,${\displaystyle {\theta }_1}$, and ${\displaystyle {\theta }_2}$, as well as the magnitude of the acceleration due to gravity g.

Starting with an initial speed of 5.00 m/s at a height of 0.300 m, a 1.50 kg ball swings downward and strikes a 4.60kg ballthat is at rest, as the drawing shows. a. using the principle of conservation of mechanicalenergy,find the speed of the 1.50 kg ball just before impact b. assuming that the collision is elastic, find the velocities( magnitude and direction ) of both balls just after thecollision c. how high does each abll swing after the collision, ignoringair resistance?

The specific gravity of ice is 0.917, whereas that for seawater is 1.025. What fraction of an iceberg is above the surface of the water?

Two adults and a child want to push a wheeled cart in thedirection marked x in Fig. 4.29 The two adults push with horizontalforces ${\displaystyle F_1\text{and}{F}_2}$ as shown in the figure. (a)Find the magnitude and direction of the smallest force that thechild should exerts the minimum force found in part (a), the cartaccelerates at 2.0 ${\displaystyle \frac{m}{s^2}}$ in the +x direction. What is theweight of the cart?

A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a maximum angle of 45 with the vertical. Air Resistance is negligible. 
a) What is the speed of the rock when the string passesthrough the vertical position? 
b) What is the tension in the string when it makes an angle of 45 with the vertical? 
c) What is the tension in the string as it passes through the vertical? 
 

An airplane pilot sets a compass course due west and maintainsan airspeed of 220 km/h. After flying for 0.500 h, she find sherself over a town 120 km west and 20 km south of her starting point. a) Find the wind velocity (magnitude and direction). b) If the wind velocity of 40 km/h due south, in what direction should the pilot set her course to travel due west? Use the same airspeed of 220 km/h. 
The answers are: 
a) 44.7 km/h, 26.6 deg. west of south 
b) 10.5 deg. north of west

A point charge has a charge of 2.50x10-11C. Atwhat distance from the point charge is the electric potential a)90.0V? b) 30.0V? Take the potential to be zero at an infinitedistance from the charge.

A block is hung by a string from inside the roof of avan. When the van goes straight ahead at a speed of 24 m/s,the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius = 175m) the block swings toward the outside of the curve, then the string makes an angle theta with the vertical. Find theta.

A spherical cavity is hollowed out of the interior of a neutral conducting sphere. At the center of the cavity is a point charge,of positive charge q. 
A) What is the total surface charge q on the interior surface of the conductor (i.s., on the wall of the cavity)? 
C) What is the magnitude ${\displaystyle E_{\int }}$ of the electric field inside the cavity as a function of the distance from the point charge? Let k, as usual, denote ${\displaystyle \frac{1}{4\pi {ϵ}_0}}$. 
D)Will the total charge on the surface of the cavity change? 
Will the totaly charge on the exterior of the conductor change? 
Will the charge on the electric field with in the cavity change? 
Will the charge on the electric field outside the cavity change?

A 12-V battery is connected to terminals A and B in the above Figure.
(a) Given that R = 75 ohms, find the current in each resistor.
(b) Suppose the value of R is increased. For each resistor in turn, state whether the current flowing through it increases or decreases. Explain.

A 7.00- kg bowling ball moves at 3.00 m/s. How fast must a 2.45- g Ping Pong ball move so that the two balls have the same kinetic energy?

A sled with rider having a combined mass of 120 kg travels over the perfectly smooth icy hill shown in the accompanying figure. How far does the sled land from the foot of the cliff (in m)?