Question

A ball of mass 1 kg is dropped from a height of 5m.
a) Find the kinetic energy of the ball just before it reaches the ground.
b) What is the speed at that instance?
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Answer 1

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Answer 2

Answer:

1. $\fbox \red {The Kinetic energy is 50 }$
2. $\fbox \green { The speed at that instance is 10 m/s }$

Explanation:

GIVEN:-

MASS = 1Kg

DISTANCE (s) = 5metre.

When the ball is dropped at that time the initial velocity was 0 m/sec

Acceleration due to gravity = 10m/s²

Speed just before it reaches the ground = v

Let's find the value of v

We know that

${v}^{2} - {u}^{2} = 2as \\ \\ {v}^{2} - 0 = 2 \times 10 \times 5 \\ \\ {v}^{2} = 100 \\ \\ v = \sqrt{100} \\ \\ v = 10 \: m etre \: per \: second$

$\fbox \purple{ Hence The speed at that instance is 10 m/s }$

$Kinetic \: energy \: = \frac{1}{2} \times m \times {v}^{2} \\ \\ = > \frac{1}{2} \times 1 \times {10}^{2} \\ \\ = > \frac{1}{2} \times 100 \\ \\ = > 50 \:$

$\fbox \red {Hence the Kinetic energy is 50 }$