Question

A 50 kg pitcher throws a baseball with a mass of 0. 15 kg. If the ball is thrown with a positive velocity of 35 m/s and there is no net force on the system, what is the velocity of the pitcher?

Answer 1

The velocity of the pitcher at the given mass is 0.105 m/s.

The given parameters:

• Mass of the pitcher, m = 50 kg
• Mass of the baseball, m = 0.15 kg
• Velocity of the ball, v = 35 m/s

The velocity of the pitcher is calculated by applying the principle of conservation of linear momentum as follows;

$m_pv_p = m_bv_b\\\\v_p = \frac{m_bv_b}{m_p} \\\\v_p = \frac{0.15 \times 35}{50} \\\\v_p = 0.105 \ m/s$

Thus, the velocity of the pitcher at the given mass is 0.105 m/s.

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