Reference no: EM132521205
1. A water pistol aimed horizontally projects a stream of water with an initial speed of 7.45 m/s.
(a) How far does the water drop in moving 2.35 m horizontally?
(b) How far does it travel before dropping a vertical distance of 2.50 cm?
2. Standing on a balcony, you throw your keys to a friend standing on the ground below. 1.1 seconds after you release the keys, they have an instantaneous velocity of 15.4 m/s, directed 46° below the horizontal. What initial velocity did you give them?
magnitude:
direction: (below the horizon)
3.An archer wishes to shoot an arrow at a target at eye level a distance of 42.0 m away. If the initial speed imparted to the arrow is 68.4 m/s, what angle should the arrow make with the horizontal as it is being shot?
4.A fox fleeing from a hunter encounters a 0.640 m tall fence and attempts to jump it. The fox jumps with an initial velocity of 7.10 m/s at an angle of 45.0°, beginning the jump 1.98 m from the fence. By how much does the fox clear the fence? Treat the fox as a particle.
5.A baseball player hits a home run over the left-field fence, which is 104 m from home plate. The ball is hit at a point 1.05 m directly above home plate, with an initial velocity directed 27.5° above the horizontal. By what distance does the baseball clear the 3.00 m high fence, if it passes over it 3.05 s after being hit?
6. A runner moving at a constant speed of 11.9 m/s rounds a curve of radius 3.65 m. Compute the acceleration of the runner. (State the magnitude of this acceleration.)
Are these numbers realistic?
Yes/No
7.A large merry-go-round completes one revolution every 11.0 s. Compute the acceleration of a child seated on it, a distance of 5.90 m from its center.
magnitude:
Direction:
---Select--- toward the center of the merry-go-round, away from the center of the merry-go-round, tangential to the circular motion of the merry-go-round
8.A certain centrifuge produces a centripetal acceleration of magnitude exactly 1330g at a point 12.9 cm from the axis of rotation. Find the number of revolutions per second.
9.Find the speed of an orbiter in a circular orbit that is just above the surface of a planet, given that the orbiter's acceleration is equal to the planet's gravitational acceleration of 2.67 m/s2. The radius of the planet is 2.03 106 m.