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Q1. An ocean liner leaves New York City and travels 39.0° north of east for 140 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the following directions?
Q2. A basketball player releases the ball 7 ft above the floor when he is 30 ft from the basket. The ball goes through the rim of the basket (that is 10 ft above the floor) 1.50 seconds after release. Find the initial velocity and the maximum height above the floor reached by ball.
As part of the safety investigation, two 1400 {rm kg} cars travelling at 23 {rm m/s} are crashed into different barriers. Find the average forces exerted on (a) car that hits a line of water barrels and takes 1.7 {rm s} to stop, and (b) car that hits..
At t=0 a grinding wheel has an angular velocity of 30.0 rad/s. It has a constant angular acceleration of 31.0 rad/s^2 until a circuit breaker trips at time t = 2.00 s. From then on, it turns through an angle 428 rad as it coasts to a stop at constant..
An airtight box has a removable lid of area 1.00 10-2 m2 and negligible weight. The box is taken up a mountain where the air pressure outside the box is 7.00 104 Pa. The inside of the box is completely displaced. What is the magnitude of the force es..
A pipe open only at one end has a fundamental frequency of 214 Hz. A second pipe, initially identical to first pipe, is shortened by cutting off the portion of the open end. Now, as both pipes vibrate at their fundamental frequencies, the beat freque..
A 76kg student consumes 2500 Cal each day and stays the same weight. One day, he eats 3500 Cal and, wanting to keep from gaining weight, decides to "work off" the excess by jumping up and down.
Two people are carrying a uniform wooden board that is 3.00 m long and weighs 160 N. If one person applies an upward force equivalent to 60 N at one end, at what point does the other person lift . If the tangential acceleration of a yo-yo at the en..
Find the position of an object in front of a screen to obtain an image of size twice larger than its original size on the screen.
Two bicycle tires are set rolling with the equivalent initial speed of 5.0 m/s along a long, straight road, and distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 {rm psi} and goes the dist..
A diver 50 m deep in 10 degrees Celsius fresh water exhales a 1.2 cm diameter bubble. What is the bubble's diameter just as it reaches the surface of the lake, where the water temperature is 35 degrees Celsius? Suppose that the air bubble is always i..
Though slow on land, the leatherback turtle holds record for the fastest water speed of any reptile: 9.78 m/s. It is also among the largest of reptiles. Assume the largest leatherback yet discovered were to swim at the top leatherback speed. If its k..
Two spheres, fastened to "pucks" riding on a frictionless air track, are charged with +2 × 10-8 C, and +6 × 10-8 C, correspondingly. Both objects have the same mass. As they repel.
What is the magnitude of the force applied throughout this time? What is the direction of the force applied throughout this time?
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