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If a rock is released from a slighshot dirrectly upwards, at what point in the trajectory will the velocity reach its minimum value?
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- Check Your Understanding If the two golf shots in Example 4.9 were bunched at the same speed, which shot would have the greatest range? When we speak of the range of a projectile on level ground, we assume R is very small compared with the circumference of Earth. If, however, the range is large, Earth curves away below the projectile and the acceleration resulting from gravity changes direction along the path. The range is larger than predicted by the range equation given earlier because the projectile has father to fail than it would on level ground, as shown in Figure 4.17, which is based on a drawing in Newton’s Principia. If the initial speed is great enough, the projectile goes into orbit. Earth’s surface drops every 8000 m. In 1 s an object falls 5 m without a resistance. Thus, if an object is given a horizontal velocity of 8000 m/s (or 18,000 mi/hr) near Earth’s surface, it will go into orbit around the planet because, the surface continuously falls away from object Thu is roughly the speed of the Space Shuttle in a low Earth orbit when it was operational, or any satellite in a low Earth orbit. These and other aspects of orbital motion, such as Earth’s rotation, are covered in greater depth in Gravitation. Figure 4.17 Projectile to satellite. In each case shown here, a projectile is launched from a very high tower to avoid air resistance. With increasing initial speed, the range increases and becomes longer than t would be on level ground because Earth curves away beneath its path. With a speed of 8000 m/s, orbit is achieved.heeelp meeee pls What is the range of the shuttlecock launched with an initial speed of 7.3738 m/s at 53.8086-degree angle with respect to the horizontal from a height of 2.2998 m in a planet where the downward gravitational acceleration has a magnitude of 9.6546 m/s2?a plane moving at a horizontal speed of 150 m/s. and is 2000m in the sky. if debris fall, how far from the intial release point will it hit the ground?
- A circus man is shot out of a cannon 500 meters above ground at a speed of 25 m/s at a launch angle of 50° what is the velocity after 5 seconds?A projectile is thrown from the top of a building with an initial velocity of 30 m/s in the horizontal direction. If the top of the building s 30 m above the ground, how fast will the projectile be moving just before it strikes the ground?Question 4: A particle is thrown into air with initial speed vo making angle 0 with the horizontal as shown in Figure 1. The gravitational acceleration g and a constant acceleration a, due to a wind act on the particle. Find the range of the motion. aw Figure 1 Select one: vž sin 0 cos 0 2a,,v3 sin? 0 g? vở sin(20) 2a,vž sin? 0 -2v sin 0 cos 0 awv sin(20) 2g2 2v3 sin 0 cos e auvổ sin(20)
- A helicopter blade spins at exactly 100 revolutions perminute. Its tip is 5.00 m from the center of rotation. (a)Calculate the average speed of the blade tip in thehelicopter’s frame of reference. (b) What is its averagevelocity over one revolution?Two satellites are in circular equatorial orbits of different altitudes. Satellite A is in a geosynchro- nous orbit (one with the same period as the earth's rotation so that it "hovers" over the same spot on the equator). Satellite B has an orbit of radius = 30 000 km. Calculate the velocity which A ap- rB pears to have to an observer fixed in B when the elevation angle 0 is (a) 0 and (b) 90°. The x-y axes are attached to B, whose antenna always points toward the center of the earth (-y-direction). Consult Art. 3/13 and Appendix D for the neces- sary orbital information. A y TA -rBAn object moving horizontally approaches an edge of a cliff with theunknown speed v. What is the value of the speed if it lands at thedistance ? from the foot of the cliff and the height of the cliff is h?
- Suppose that an artillery projectile is fired from ground level with initial velocity 3000 ft/s and initial inclination angle 40. . Assume that its air resistance deceleration is (0.0001)v2. (a) What is the range of the projectile and what is its total time of flight? What is its speed at impact with the ground? (b) What is the maximum altitude of the projectile, and when is that altitude attained? (c) You will find that the projectile is still losing speed at the apex of its trajectory. What is the minimum speed that it attains during its descent?Question 7 of 16 A student drew the relation between the hegt Ihs and the square of the horzantal range D2 in projectle experiment by dropping the ball each time from the same hieght y. What is the velocity Vo? (The gravity acceleration gis 9.8 m/s)? 0332.4cm/s 145cm/s 0313cm/s 0980cm/s 031.3cm/s B Vo S 4 2 1 0 0 100 300 400 D'(an) 500 600Check Your Understanding If the two golf shots in Example 4.9 were bunched at the same speed, which shot would have the greatest range? When we speak of the range of a projectile on level ground, we assume R is very small compared with the circumference of Earth. If, however, the range is large, Earth curves away below the projectile and the acceleration resulting from gravity changes direction along the path. The range is larger than predicted by the range equation given earlier because the projectile has father to fail than it would on level ground, as shown in Figure 4.17, which is based on a drawing in Newton's Principia. If the initial speed is great enough, the projectile goes into orbit. Earth's surface drops every 8000 m. In 1 s an object falls 5 m without a resistance. Thus, if an object is given a horizontal velocity of 8000 m/s (or 18,000 mi/hr) near Earth's surface, it will go into orbit around the planet because, the surface continuously falls away from object Thu is…