1.A tennis ball ( m = 54 g) is projected vertically with an initial speed of 8.9

Question

1.A tennis ball (m = 54 g) is projected vertically with an initial speed of 8.9 m/s.

(a) If the ball rises to a maximum height of 3.4 m, how much kinetic energy was dissipated by the drag force of air resistance?

(b) How much higher would the ball have gone in a vacuum?
2.A spring is mounted at angle ? = 35? on a frictionless incline as illustrated in the figure below. The spring is compressed by 15 cm where it is allowed to propel a mass of4.4 kg up the incline.

(a) If the spring constant is 640 N/m, how fast is the mass moving when it leaves the spring?
cm/s

(b) To what maximum distance from the starting point will the mass rise up the incline?
cm

1.A tennis ball (m = 54 g) is projected vertically with an initial speed of 8.9 m/s. (a) If the ball rises to a maximum height of 3.4 m, how much kinetic energy was dissipated by the drag force of air resistance? (b) How much higher would the ball have gone in a vacuum? 2.A spring is mounted at angle ? = 35½ on a frictionless incline as illustrated in the figure below. The spring is compressed by 15 cm where it is allowed to propel a mass of4.4 kg up the incline. (a) If the spring constant is 640 N/m, how fast is the mass moving when it leaves the spring? cm/s (b) To what maximum distance from the starting point will the mass rise up the incline? cm

Explanation / Answer

mass = 0.054 Kgs

Initial KE = 0 5mvi^2

inital PE = mgh

Eenrgy Lose due to drag force is Ul

UL = KEi -PE

Ul = 0.5mvi^2 - mgh

Ul = (0.5 * 0.054 * 8.9 *8.9) -(0.054* 9.81 * 3.4)

Ul = 0.3375 Joules

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b.   Apply KEi = P{Ei

h = v^2/2g

h = 8.9 *8.9/(2* 9.81)

h = 4.034 m

or an additional height of h = 4.034-3.4 = 0.637 m

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