Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. A ball is projected horizontally with speed 14.9 m/s from the top of a 33.6 m

ID: 1657264 • Letter: 1

Question

1. A ball is projected horizontally with speed 14.9 m/s from the top of a 33.6 m high building. Neglecting drag, what is its horizontal distance (in m) from the bottom of the building when it hits the ground?

Let g = 9.8 m/s2.

2. A driver in a car accelerating towards the right has an apparent weight with components 849 N pointing down and 496 N pointing towards the left. What is the magnitude of the acceleration of the car in m/s2?

Let g = 9.8 m/s2.

3. An ideal spring with a spring constant of 1.9 N/cm and an equilibrium length of 15 cm hangs vertically from the ceiling. A 1.8 kg mass is attached to it. After all motion has damped out, what is the new length of the spring in cm?

4. Two packages are dropped from an airplane. A parachute can increase the cross sectional area of each packages by a factor of 61. The parachute on package 1 fails to open, and the terminal speed of package 1 is 17 m/s. The parachute on package 2 opens.

What is the terminal speed of package 2 in m/s?

5. A clever physics student is able to sneak a scale on a popular ride at an amusement park. Before the ride begins to move, the scale reads 700 N for the student's weight. As the ride lifts, it initially accelerates upward at 3 m/s2. At the top, the riders are held in suspense before the gondola is allowed to free fall downward with acceleration equal to g. What should the scale read for the student's apparent weight during the lift and the fall?

Explanation / Answer

here,

1)

the initial horizontal speed , ux = 14.9 m/s

let the time taken to hit the ground be t

h = 0 + 0.5 * g * t^2

33.6 = 0 + 0.5 * 9.8 * t^2

solving for t

t = 2.62 s

the horizontal distance travelled , x = ux * t = 39 m