When a 1.0 gram rubber band with is lifted to a height of 1 m, stretched 10 cm a

Question

When a 1.0 gram rubber band with is lifted to a height of 1 m, stretched 10 cm and shot exactly horizontally, it flies 2.25 m before it hits the ground. If the rubber band were lifted to 1 meter again and stretched 10 cm as well, but this time pointed vertically, what maximum height would it reach (relative to the ground)? 2. 3. An obiect with a mass of 40 kg is lifted 10 m up in the air and released. Find out how much gravitational potential energy the object has, then determine how fast it will be traveling just before it hits the ground.

Explanation / Answer

2.

The main problem of this question is to find the initial velocity .

Now the time taken to reach 1m in first case is,

H=0.5gt 2

1=0.5*9.81t2

t=0.4515 seconds.

Now velocity imparted will be,

x=ut

2.25=u*0.4515

u=4.983m/s

Now the max height attained attained in second case will be,

v 2=2gH

H=4.9832/2*9.81

H=1.2655m

Now the height relative to ground will be

=1+1.2655

=2.2655m

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