Lauren threw a ball of mass m=0.46 kg horizontally with an initial velocity v=11

Question

Lauren threw a ball of mass m=0.46 kg horizontally with an initial velocity v=11.0 m/s from a height h=1.5 m Use 10 N/kg for g. a) How much kinetic energy in Joules did Lauren impart on the ball? b) How much gravitational potential energy in Joules (relative to ground) does the ball have the minute it was thrown by Lauren? c)What is the mechanical energy in Joules (relative to ground) of the ball have the minute it was thrown by Lauren? d)What is the kinetic energy in Joules of the ball just before it touches the ground? e)What if Lauren threw the ball vertically instead with the same initial velocity, how much kinetic energy in Jouleswas then imparted on the ball?

Explanation / Answer

here,
m =0.46 kg
u = 11 m/s
h = 1.5 m

A)
Kinetic energy = 0. 5 * m* v^2
KE = 0.5 * 0.46 * 11^2
KE = 27.83 J

B)
Potential Energy = m*g*h
PE = 0.46 * 9.8 *1.5
PE= 6.762 J

C)
mechanical Energy = KE + PE
ME = 27.83 - 6.762
ME = 34.592 J

D)

Kintci Enrgy just Energy just before hitting = Potetial Energy

0.5 * m *v^2 = mgh
v = sqrt(2gh)
v = sqrt(2*9.8*1.5)
v= 5.422 m/s

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