To find the mass of the ball, we can use the formula for momentum:
momentum = mass × velocity
Given that the ball has a momentum of 10.0 kg·m/sec and a velocity of 1.5 m/sec, we can rearrange the equation to solve for mass:
mass = momentum / velocity
Plugging in the values, we get:
mass = 10.0 kg·m/sec / 1.5 m/sec = 6.67 kg
Momentum = (mass) x (speed)
10 kg-m/sec = (mass) x (1.5 m/s)
Divide each side by 1.5 m/s :
Mass = 10 kg-m/sec / 1.5 m/s = (6 and 2/3) kg
The mass of the ball is approximately 6.67 kg, calculated using the formula for momentum. By rearranging the formula, we derived the mass based on the provided momentum and velocity. This illustrates a fundamental relationship in physics between momentum, mass, and velocity.
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