Concept explainers
Entering his dorm room, a student tosses his book bag to the right and upward at an angle of 45° with the horizontal (Fig. OQ4.2). Air resistance does not affect the bag. The bag moves through point Ⓐ immediately after it leaves the student’s hand, through point Ⓑ at the top of its flight, and through point © immediately before it lands on the top bunk bed. (i) Rank the following horizontal and vertical velocity components from the largest to the smallest. (a) vⒶx (b) vⒶy (c) vⒷx (d) vⒷy (e) v©y. Note that zero is larger than a negative number. If two quantities are equal, show them as equal in your list. If any quantity is equal to zero, show that fact in your list. (ii) Similarly, rank the following acceleration components. (a) aⒶx (b) aⒶy (c) aⒷx (d) aⒷy (e) a©y.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
- When throwing a ball, your hand releases it at a height of 1.5 m above the ground with velocity 6.8 m/s in direction 57° above the horizontal. (a) How high above the ground (not your hand) does the ball go?(b) At the highest point, how far is the ball horizontally from the point of release?arrow_forwardEntering his dorm room, a student tosses his book bag to the right and upward at an angle of 45° with the horizontal (see figure). Air resistance does not affect the bag. It moves through point O immediately after it leaves the student's hand, through point ® at the to of its flight, and through point © immediately before it lands on his top bunk bed. | 45° (a) Rank the following horizontal and vertical velocity components from the largest to the smallest. Note that zero is larger than a negative number. If two quantities are equal, show them as equal in your list. If any quantity is equal to zero, show that fact in your list. O Var = v VAv > VBx = VBy >Voy = 0 > VCx VAy VBx = VCx > VBy = 0 > Vo O Vax = VAy = VBx = Vcx > VBy = Vcy> 0 O VAx = VAy = VBx = VCx> VBy > Vcy > (b) Similarly, rank the following acceleration components. O aAx = a Ay aBx = aCx > a By > acy > 0 a Ax = a Ay > a Bx = a Bx > acy = 0 > acy a Ax aBx = acx = 0 > aAy = a By = acy O aAx Ay = a Bx = acx > a By = acy > 0arrow_forwardAn item with beginning speed v0 is projected from the edge of the roof of a structure of height H. The object's initial velocity produces an angle a0 with the horizontal. Don't think about air resistance. What is the speed of the item shortly before it hits the ground if a0 = -90 and the object is thrown straight down?arrow_forward
- A student throws a heavy red ball horizontally from a balcony of a tall building with an initial speed vo. At the same time, a second student throws a lighter blue ball horizontally from the same balcony with an initial speed vo/2. Ignoring air resistance, which of the following statements must be true? [There may be more than one correct answer.] Both balls hit the ground with the same angle of impact. Both balls hit the ground with the same vertical velocity component While each ball is in the air, the red ball has the greater magnitude of acceleration. The red ball hits the ground with the greater speed. | The balls reach the ground at the same instant.arrow_forwardA man stands on a roof of a 15.0-m tall building and throws a rock with a velocity of magnitude 30m/s at an angle of 33.0° above the horizontal.you can ignore air resistance. Calculate the maximum height above the roof reached by the rock.arrow_forwardIn a carnival booth, you win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point. If you toss the coin with a velocity of 6.4 m/s at an angle of 60° above the horizontal, the coin lands in the dish. You can ignore air resistance,a) What is the height of the shelf above the point where the quarter leaves your hand? b) What is the vertical component of the velocity of the quarter just before it lands in the dish?arrow_forward
- Two friends are playing catch. They both are about the same height so the release height of the ball when thrown and the height of the catch are both 1.75 meters above the ground. The friend on the right throws the ball at a speed of 15 m/s at an angle of 33° above the horizontal. Assume you can ignore air resistance for this problem. (1) What are the horizontal and vertical components of the initial velocity of the ball? (2) How far away should the second friend stand to catch the ball (at a height of 1.75 m above the ground)? 1: You'll first need to solve for the time the ball is in the air. 2: If you don't know how to solve for time, then pick a value for the time the ball is in the air and perform your remaining calculations using that value for timearrow_forwardYou launch an object into the air with an initial horizontal speed of 80 m/s and an initial vertical upward speed of 60 m/s. Find the horizontal displacement when the object is at its maximum vertical displacement. Neglect air resistance and use g = 10 m/s2.arrow_forwardDuring volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle 0 d = 10.0 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight? 32° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance (a) Number Units (b) Number Unitsarrow_forward
- During a recent winter storm, bales of hay had to be dropped from an airplane to a herd of cattle below. Assume the airplane flew horizontally at an altitude of 215 m with a constant velocity of 56.0 m/s and dropped one bale of hay every 3.0 seconds. It is reasonable to assume that air resistance will be negligible for this situation. About how far apart from each other will the bales land on the ground? Answer: marrow_forwardYou are at the top of a mountain, which slopes up at a 35 ̊ angle above the horizontal. If you throw a pebble horizontally from the top of the slope with an initial speed of 25 m/s, how far down the slope will it land (d, in meters)?arrow_forwardA criminal is escaping across a rooftop and runs off the roof horizontally at a speed of 5.1m/s, hoping to land on the roof of an adjacent building. Air resistance is negligible. The e horizontal distance between the two buildings is D, and the roof of the adjacent building is 2.0m below the jumping-off point. Find the maximum value for D.arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning