Question

A juggler throws continuously balls at the rate of 3 in each second each with velocity 5m/s ,if the mass of each ball is o.05kg his power is​

Answer 1

Answer:

1.875 W

Explanation:

Given :

• A juggler throws continuously balls at the rate of 3 in each second each with velocity 5 m/s
• The mass of each ball is 0.05 kg

To find :

the power

Solution :

Power is the rate of work done.

$\boxed{ \longrightarrow \rm P=\dfrac{W}{t}}$

Work done is the change in Kinetic Energy.

W = ∆KE

Kinetic energy is given by,

KE = ½ mv²

where

m denotes the mass of the object

v denotes the velocity of the object

As given,

Balls are thrown at the rate of 3 in each second.

n/t = 3

Power,

$\tt P = \dfrac{n \times \dfrac{1}{2} mv^2}{t}$

P = 3 × ½ × 0.05 × 5²

P = 3 × ½ × 0.05 × 25

P = 375/200

P = 187.5/100

P = 1.875 W

Answer 2

✠ Question Given :

• A juggler throws continuously balls at the rate of 3 in each second each with velocity 5m/s ,if the mass of each ball is o.05kg his power is ?

✠ Require Solution :

✯ Values given to us :

• ⇒ Velocity of ball (V) = 5 m/s

• ⇒ Rate of throwing = 3 in each sec

• ⇒ Mass of ball (m) = 0.05 kg

✯ Formula used here :

• ⇒ P = F . V

✠ According to question :

• ⇒ KE / t

• [ KE = kinetic energy ]

✯ Putting Values given to us :

• ⇒ 3 × 1/2 × mv²

• ⇒ 3/2 × 0.05 × 25

• ⇒ 3.75 / 2

• ⇒ 1.875 Watt

✯ Finally solved :

• ⇒ 1.875 W ( Power )

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✡ Practice Question :

• Q] .Rohit throws continuously balls at the rate of 9 in each second each with velocity 10m/s ,if the mass of each ball is 0.050kg his power is ?

• Q]. Aman throws continuously balls at the rate of 3 in each second each with velocity 15m/s ,if the mass of each ball is 0.010kg his power is ?

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