lim said:Homework Statement
A 21.7 g arrow is shot through a 9.6 cm apple. If the arrow enters the apple at 38.5 m/s and emerges witha speed of 31.2 m/s in the same direction, what is the magnitude of the force with which the apple has resisted the arrow?
Homework Equations
vf^2 = vi^2 +2adeltax
f= ma
The Attempt at a Solution
31.2^2 = 38.5^2 +2(9.6)a
973.44 = 1482.25 + 19.2a
a = -26.5
ma=|-575|
f= 575 N
lim said:So mass should be in kg, so .0217(-26.5) = |-0.575| = 0.575 N, but it still said it was wrong. Am I forgetting something else?
Forces at work refer to the interactions between objects that cause them to accelerate or deform. These forces can be categorized as contact forces (such as friction and normal force) or non-contact forces (such as gravity and electrostatic force).
The magnitude of resistance can be calculated using the formula F = μN, where F is the magnitude of resistance, μ is the coefficient of friction, and N is the normal force. This formula applies to situations where there is no acceleration or when the acceleration is constant.
The coefficient of friction is a unitless value that represents the amount of resistance between two surfaces in contact. It is typically denoted as μ and can range from 0 (no resistance) to 1 (maximum resistance). It depends on factors such as the materials of the surfaces, surface texture, and any lubricants present.
The normal force, denoted as N, is the force exerted by a surface on an object in contact with it. It is always perpendicular to the surface and acts as a balancing force to the weight of the object. The magnitude of resistance is directly proportional to the normal force, meaning that an increase in the normal force will result in an increase in the magnitude of resistance.
The formula F = μN can only be used to solve for the magnitude of resistance in situations where there is no acceleration or when the acceleration is constant. In cases where there is acceleration, additional equations and principles, such as Newton's second law of motion, must be applied to accurately calculate the magnitude of resistance.