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Answer :
To calculate the mass of the football player, we need to use the formula for momentum. In this case, we know the momentum and velocity, so we can rearrange the formula to solve for mass: mass = momentum / velocity
Substituting the values given in the question, we get: mass = 1235 kg m/s / 13 m/s. mass = 95 kg. Therefore, the mass of the football player is 95 kg. It's important to note that momentum is a vector quantity, meaning it has both magnitude and direction. In this case, we are given the magnitude of the momentum, but we don't know the direction. However, since we are only interested in the mass of the player, we can ignore the direction of the momentum. In conclusion, using the formula for momentum and given values, we calculated the mass of the football player to be 95 kg. To calculate the mass of the football player, we will use the momentum formula. Momentum (p) is equal to the product of an object's mass (m) and its velocity (v). The formula is: p = m × v. In this case, the football player's momentum (p) is 1,235 kg m/s, and their top speed (v) is 13 m/s. We need to find their mass (m). Rearranging the formula to solve for mass, we get: m = p ÷ v. Now, substitute the given values: m = 1,235 kg m/s ÷ 13 m/s. m ≈ 95 kg. The mass of the football player is approximately 95 kg.
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Final answer:
Using the formula for momentum, P = mv, the mass of the football player is calculated by dividing the momentum (1,235 kg·m/s) by the velocity (13 m/s), resulting in a mass of 95 kg.
Explanation:
To calculate the mass of the football player using the given momentum, we would use the formula for momentum, which is given by:
P = mv
Where P is momentum, m is mass, and v is velocity. We can rearrange the formula to solve for mass:
m = P / v
Given that the player's momentum P is 1,235 kg·m/s and the velocity v is 13 m/s, the calculation for the player's mass m is as follows:
m = 1,235 kg·m/s ÷ 13 m/s
m = 95 kg
Thus, the final answer for the mass of the football player is 95 kg.
