Two objects A and B are thrown with the same velocity directly upwards. Suppose if mass of A is greater than B. If the air exerts a constant and equal force of resistance on both bodies . Which body will cover more height
Two objects A and B are thrown with the same velocity directly upwards. Suppose if mass of A is greater than B. If the air exerts a constant and equal force of resistance on both bodies . Which body will cover more height
A will get higher.
Because the mass of A is higher and the forces of resistance are said to be equal…
Without resistance forces the maximum height would be equal, but, with resistance you have a force pointing downwards and F = m * a … so, for an equal resistance force, if the mass is higher the acceleration is lower, if the mass is lower, the acceleration is higher. The body B with a higher downwards acceleration gets stopped sooner and can’t get as high as body A.
Imagine throwing up a feather (low mass, high resistence) and a stone (higher mass, less resistance). Or, better, imagine a ping-pong ball and a golf ball or a squash ball. The squash ball bet higher, right? And the resistance is supposed to be equal, since the shapes and size are equal.
A will get higher.
Because the mass of A is higher and the forces of resistance are said to be equal…
Without resistance forces the maximum height would be equal, but, with resistance you have a force pointing downwards and F = m * a … so, for an equal resistance force, if the mass is higher the acceleration is lower, if the mass is lower, the acceleration is higher. The body B with a higher downwards acceleration gets stopped sooner and can’t get as high as body A.
Imagine throwing up a feather (low mass, high resistence) and a stone (higher mass, less resistance). Or, better, imagine a ping-pong ball and a golf ball or a squash ball. The squash ball bet higher, right? And the resistance is supposed to be equal, since the shapes and size are equal.
