Question

A 1.5-kg mass is initially moving with speed 5.723 m/s. The mass will then glide over a horizontal frictionless surface and is brought to rest by an external force after traveling 9.357 m. The magnitude of the force (N) is:

Answer 1

The magnitude of the force that brings the mass to rest is 2.5045 N. Calculated using the equation F = m * a, where m is the given mass of 1.5 kg, and a is the acceleration derived from the negative of the initial velocity divided by twice the distance traveled.

Step-by-step explanation:

To find the magnitude of the force that brings the mass to rest, we can use the equation: F = m * a. Where F is the force, m is the mass, and a is the acceleration. The mass is given as 1.5 kg and the acceleration is the negative of the initial velocity divided by the distance traveled: a = -(v^2) / (2d). Substituting the given values, we have a = - (5.723^2) / (2 * 9.357) = -1.669 m/s^2. Now we can find the force: F = 1.5 * (-1.669) = -2.5045 N. The magnitude of the force is therefore 2.5045 N.