number 62: I get the same velocity for both. wanna make sure it is right. also i

Question

number 62: I get the same velocity for both. wanna make sure it is right. also if possible, we are required to use the energy Concepts to solve this one: potential energy and kinetic. if not possible, velocity equations will be OK. thanks

on the bucket. Two men stand at the edge of a 10-m cliff. Simultane- ously, they throw balls at an initial speed of 10 m/s, one straight up and the other straight down. (4) Neglecting air resistance, find the speed of each ball when it reaches the bottom of the cliff. (b) Discuss qualitatively how the peeds would compare if air resistance were not ne- glected. 63. A 2-kg box is projected with an initial speed of 3 m/s up a rough plane inclined at 60 to the horizontal. The coefficient of kinetic friction is 0.3. (a) List all the forces

Explanation / Answer

U = 10m/s, V=0 at a height h and g is 9.8m/s2

V2 -U2 =2gh

0-100 = 2X9.8Xh

h = 5.10 m

hmax = 10+5.10 = 15.10 m

Now Velocty at ground is

V2 -U2 =2gh

V2 -0=2X9.8X15.10

V = 17.20 m/s

similarly, when ball throws downwards then

here we can use kinamatics

Vf2=Vi2 +2ad

where a is acceleration due to the gravity and d is the distance ball travelled 10m

Vf2 = 100+(2X9.8X10)

Vf = 17.20 m/s

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