Question

A block of mass m is hit by a force of magnitude F which causes the block to have an acceleration of magnitude a. If the same block is hit by a force of magnitude 19F, then which of these is the acceleration of the block will have what magnitude? A) aB) 19aC) one nineteenth of aD) 361aE) zero

Answer 1

If the same block is hit by a force of magnitude 19F, the acceleration of the block will have a magnitude of 19a.

Step-by-step explanation:

When a block of mass m is hit by a force of magnitude F and has an acceleration of magnitude a, the relationship between force, mass, and acceleration is given by Newton's second law: F = ma. If the same block is hit by a force of magnitude 19F, we can calculate the new acceleration using the same equation. Plugging in the new force value, we get: (19F) = m(a_new). Dividing both sides of the equation by m, we find that the new acceleration (a_new) is equal to 19a. Therefore, the correct answer is option B) 19a.

Answer 2

The original acceleration is given by:

`a=(F)/(m)`

If we applied to the same mass a force with a magnitude of 19F we have that the new accelertion is:

`a^(\prime)=(19F)/(m)=19\cdot(F)/(m)=19a`

Therefore the new acceleration is nineteen times the original one; and hence the answer is Band he