# F = MA 2020 (Mock) Problems

## Problem 1

A wire is connected to blocks lying adjacent to each other. The masses of the 3 blocks have masses , , and . The tension in the wire while pulling the blocks is newtons and the blocks move with a constant velocity. What is ?

## Problem 2

A block of mass moving at a speed of collides with another block of mass which is originally moving at a speed of . The block of mass had a spring attached to the back of it with spring constant . What is the maximum compression of the spring after the collision?

## Problem 3

A small object of mass is tied to a string of length and is whirled around a horizontal circle of radius with a constant speed , in a conical pendulum. The center of the circle is vertically below the point of support. What is the period of revolution?

## Problem 4

blocks are connected by a massless string which slide down an inclined plane having an angle of inclination of . The masses of the blocks are and , and is above . Both blocks have a Coefficients of friction with the inclined plane. What is the tension in the string?

## Problem 5

A glass hollow sphere with radius rests on the topmost point of a much larger Woden sphere with radius and . The coefficient of kinetic friction between the surfaces is . The smaller sphere is given a kick down the sphere. At what distance from the top will the smaller sphere lose contact with the larger sphere?

## Problem 6

A block of mass initially at rest, is dropped from height above a spring of spring constant . What is the maximum compression of the spring?

## Problem 7

Initially, A block has a mass of which slides across surface with velocity and block has a mass of which slides at a speed of , with . Block A slides east while Block B slides in west. The surface has coefficient of friction . How far does do the blocks move together before stopping?